Suppose that you have $$x$$ bags of apples, each bag contains $$5$$ apples. Eddie has $$y$$ bags of apples, each bag contains $$6$$ apples. Eddie sells you $$3$$ bags of apples. How many apples do you have now?

$$5x+3\times 6$$

$$3\times 6$$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


Which Law is used in the following calculation: $$2.76+10+3.75=3.24+(2.76+3.24)$$?

The Commutative Law of Addition

The Associative Law of Addition

Both

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals


Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Multiples to Express Fractions in the Same Denomination


($$1$$) Abby bought $3$ crates of apples. Each crate has $42$ apples. How many apples are there in total?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions


Find the next term of the following sequence: $1, 1, 2,~ 3, 5, \cdots $

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences


Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering


Suppose $2\times3=\circ$, $3\times3=\triangle$, $2\times4=\square$. Arrange the three shape according to their values from largest to smallest.

$\circ$ $\triangle$ $\square$

$\circ$$\square$$\triangle$

$\triangle$ $\circ$$\square$

$\triangle$ $\square$$\circ$

$\square$$\triangle$$\circ$

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


Find the next number in the sequence below.  $$22, 21, 19, 16, 12, \cdots$$

None of the above

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences


Which of the following fractions is equivalent to $\frac{2}{10}$?

Overseas Competition->Knowledge Point->Calculation Modules


In a cave, there were two horses, one bear and three turtles. Later, five horses, three bears and four turtles joined them. How many animals are in the cave now?


What is the next number in the sequence below?  $$29, 28, 25, 20, 13, \cdots $$

None of the above


$$30\textasciitilde\text{g}$$ coffee is dissolved in $$90\textasciitilde\text{g}$$ of milk. What are the ratio of coffee to milk and the ratio of coffee to coffee-milk, respectively?

$$1:3$$, $$1:4$$

$$1:4$$, $$1:3$$

$$3:1$$, $$4:1$$

$$4:1$$, $$3:1$$

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction


The product of a two-digit number and a one-digit number is a~\uline{~~~~~~~~~~}~-digit number.

two

three

three or two


（$$2016$$ Henry Park Primary School, Quiz $$1$$, Primary Two, Question \#$$3$$）  $$831+58=$$ ．

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


$$27 \times 3 \textgreater{}x^{2}$$  What is the largest possible value of $$x$$?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities->Solving Inequalities


Paul wanted to buy $9$ basketballs. The basketballs were sold either for $3.2$ dollars each or at $9$ dollars for a bag of $3$ basketballs. How much money would Paul save if he buys three bags of basketballs instead of buying $9$ basketballs separately?

$1.2$ dollars

$1$ dollar

$0.9$ dollars

$0.8$ dollars

$0.6$ dollars


What is the next number in the sequence below?  $112, 105, 91, 70, $~\uline{~~~~~~~~~~}~

Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Finding Patterns


Which of the following has the largest sum of coefficients of each term ?


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals


The area of the Mountain Island Educational State Forest in North Carolina is $3$ square miles. What is the area, in \uline{square yards}, of this forest? ($1$ mile = $1,760$ yards)


The best way to write the quotient of $4$ by $x$ is~\uline{~~~~~~~~~~}~.

$$x\div 4$$

$4\div x$


How many digits does the number $1230$ have?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers


Amy has $a$ lollipops. Anna has $6$ more lollipops than Amy. Anna has~\uline{~~~~~~~~~~}~lollipops.

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


In $$26.73$$, the digit $$3$$ has the value of ．


Which of the following sequences is a Geometric sequence?

$$1$$, $$2$$, $$4$$, $$5$$, $$7$$, $$8$$, $$10$$, $$11$$, $$\cdots$$

$$1$$, $$2$$, $$4$$, $$6$$, $$8$$, $$10$$, $$12$$, $$14$$, $$\cdots$$

$$2$$, $$4$$, $$8$$, $$16$$, $$32$$, $$64$$, $$128$$, $$\cdots$$

$$5$$, $$10$$, $$15$$, $$25$$, $$30$$, $$35$$, $$\cdots$$


Which of the following fractions is equivalent to $\frac{3}{4}$


Shawn, Spar and Spike went out to buy some sporting goods. Shawn spent $21$ dollars on $3$ basketballs and $2$ footballs. Spark spent $18$ dollars on $4$ footballs and $1$ volleyball. Spike spent $21$ dollars on $3$ footballs and $2$ volleyballs. How much is one basketball?


Which of the following is (are) true?  I. The sampling distribution of a sample mean will be approximately normally distributed for sufficiently large samples, regarless of the shape of the original population.  II. The sampling distribution of a sample mean will be normally distributed if the population from which the samples are drawn is normal.  III. $\sigma\_{\bar{x}} = \frac{\sigma}{\sqrt{n}}$ if N$\geq$10n.

I

II

III

I, II

I, II, III


Yesterday was Sunday. What day is tomorrow? (2019 Math Kangaroo Problem, Level 3-4, Question \#3)

Tuesday

Thursday

Wedncsday

Monday

Saturday


Overseas Competition->Knowledge Point->Calculation Modules->Fractions


What is the product of $$628$$ and $$6$$?

Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Multiplication of Whole Numbers->Multiplication of Multi-Digit Numbers and 1-Digit Numbers->Multiplication of 3-Digit and 1-Digit (with regrouping for more than once)

Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas


Which of the following is NOT an algebraic expression?

$-b$


If Toyota makes 10 million cars its long run ATC is $\textbackslash$20,000$ car. If it makes 11 million cars its long run ATC is $\textbackslash$25,000$ car. What is the best description?

economies of scale

diseconomies of scale

constant returns of scale

increasing returns to scale

none of the above

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


The sum of two different numbers is $$45$$. At least one of them is less than．

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form


Bert has $7$ dollars. He is going to buy $4$ cupcakes which cost $80$ cents each and a certain number of~ candies which cost $40$ cents each. How many basketballs at most can he buy?


Which of the following is equivalent to $(-(-2)^{2})^{3}$ ?  $\textasciitilde$


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions


The average cost of living in California in one year is $46,636$ dollars. The interest rate of US banks is $2.5 \textbackslash\%$. How much money do you need to deposit into the bank to cover your annual cost?

$1$ million

$1.5$ million

$2$ million

$2.5$ million

Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation


Which of the following properties is used in when combining like terms?  $3x^{2}y+5-x^{2}y$  $=(3-1)x^{2}y+5$  $=2x^{2}y+5$

commutative property

associative property

distributive property

private property

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Applying Special Whole Numbers->Patterns of Multiples of 12345679(whole-numbers)


Every time the witch has $$1$$ red flower, she turns it into $$3$$ yellow flowers. Every time she has $$1$$ yellow flowers, she turns it into $$2$$ red flowers. Now she has $2$ red flowers and $1$ yellow flowers. What is the smallest number of flowers she can end up with if she cast spells three times?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution


$2$ rabbits weigh as much as $3$ chikens, and $1$ rabbit weighs as much as $6$ ducks. How many ducks weigh the same as one chiken?


For the following numbers: $$-\frac{1}{3}$$, $$0.12$$, $$-2$$, $$2$$, $$\frac{3}{4}$$, $$-1\frac{1}{2}$$, how many positive rational numbers are there?

Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition


Simon cut a cake into $$12$$ equal pieces. He ate $3$ pieces and both his parents ate $$2$$ pieces each. What fraction of the cake was left？

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions


The little kangaroo was sick. Dr. Ohpain prescribed $$3$$ pills for him to take one at a time every twenty minutes. How many minutes after taking the first pill will the little kangaroo take the last pill? (2000 Math Kangaroo Problem, Level 3-4, Question \#2)

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Mixed Operations of Addition and Subtraction of Decimals


Overseas Competition->Knowledge Point->Calculation Modules


Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers


Yes

No

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Pyramid Sequences


Which of the following does not contain a constant?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


The numbers in each of the three brackets follow the same rule. Find the missing number.  $$\left[10, 50, 15 \right]\textasciitilde\textasciitilde\left[37, 120, 23 \right]\textasciitilde\textasciitilde\left[16, 56, ?\right]$$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Filling Sequences according to the Patterns


The pages of a book are numbered 1, 2, 3, 4, 5, and so on. The digit 5 appears exactly 16 times. What is the maximum number of pages this book could have? (2019 Math Kangaroo Problem, Level 3-4, Question \#19)


David had $30$ apples. He divided all his apples rqually among his classmates. Which of the following was definitely not the number of his classmates?


Thirty five thousand nine hundred and seventy

Three hundred and fifty thousand and ninety seven

Thirty five thousand and ninety seven

Thirty nine thousand and fifty seven

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Read and Write numbers


Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals


l am a number. If you count by tens you will say my name. I am not ten. If you add me to 30, you will get a  number less than 60. Who am I?


The best estimate for $$48\times 732$$ is .

$$40\times 700$$

$$40\times 800$$

$$50\times 700$$

$$50\times 800$$

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals


Which of the following inequalities is always true?

$x\textless x-10$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities


Overseas Competition->Knowledge Point->Calculation Modules->Power->Understanding the meaning of Power


Given that $$(21\times55) + 20=1175$$, one of the following is incorrect.

$$21\times (55+20)=1175$$

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


The breadth of a rectangular bookmark is $9$ cm. It\textquotesingle s length is $3$ times its breadth. What is the area of the bookmark?

27 cm\textsuperscript{2}

81 cm\textsuperscript{2}

162 cm\textsuperscript{2}

243 cm\textsuperscript{2}

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Area


A number is formed by $9$ millions, $7$ ten thousands, $5$ thousands, $8$ tens, $2$ hundreds and $3$ ones. What number is it?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers


The manager of a public swimming pool wants to compare the effectiveness of two laundry detergents, Detergent A and Detergent B, in cleaning the towels that are used daily. As each dirty towel is turned in, it is placed into the only washing machine on the premises. When the washing machine contains 20 towels, the manager flips a coin to determine whether Detergent A or Detergent B will be used for that load. The cleanliness of the load of towels is rated on a scale of 1 to 10 by a person who does not know which detergent was used. The manager continues this experiment for many days. Which of the following best describes the manager's study?

A completely randomized design

A randomized block design with Detergent A and Detergent B as blocks

A randomized block design with the washing machine as the block

A matched-pairs design with Detergent A and Detergent B as the pair

An observational study


Let P = price, MR = marginal revenue,MC = marginal cost, and ATC = average totalcost. In monopolistic competition, which of thefollowing most accurately describes the long-runequilibrium conditions for a firm?

P \textgreater{} ATC, MR = MC, and P \textgreater{} MC

P \textgreater{} ATC, MR \textgreater{} MC, and P = MC

P = ATC, MR = MC, and P \textgreater{} M

P = ATC, MR = MC, and P = MC

P = ATC, MR \textgreater{} MC, and P \textgreater{} MC

Overseas Competition->Knowledge Point->Calculation Modules->Fractions


The mass of the Earth is~$5.97\times10^{24}kg$. The Moon, whose center is~$3.84\times10^{8}m$~from the Earth\textquotesingle s center, has mass~$7.35\times10^{22}kg$. Which of the following is the best estimate of the gravitational force of the Earth on the Moon?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables


Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences


It took Jimmy $1$ hour and $40$ minutes to do his homework. His sister, Jemima, took three times as long. How long did she take?

$5$ hours

$4$ hours $20$ minutes

$3$ hours $40$ minutes

$4$ hours $20$ minutes

$5$ hours $30$ minutes

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time


Find the value of $n$ such that $9^{2n-3}=27^{n+1}$.  $\textasciitilde$

Overseas Competition->Knowledge Point->Calculation Modules


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


A rectangle has a perimeter of $36\rm cm$. Which could be the area of the rectangle? （The length and width are both whole numbers）


[PhysicsBowl question revised] A car and a truck are both traveling with a constant speed of 30 m/s. The car is 20 m behind the truck. The truck driver suddenly applies his brakes, causing the truck to slow to a stop at the constant rate of 3 m/s². 3 seconds later, the driver of the car applies their brakes and just manages to avoid a rear-end collision. Determine the constant rate at which the car slowed.

9.23 m/s²

10.33 m/s²

11.23 m/s²

11.93 m/s²

Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operations with New Definition in Flow Charts


What is the value of $\left( 1+\dfrac{1}{1}\right)\left( 1+\dfrac{1}{2}\right)\left( 1+\dfrac{1}{3}\right)\left( 1+\dfrac{1}{4}\right)\left( 1+\dfrac{1}{5}\right)\left( 1+\dfrac{1}{6}\right)$?


Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Substituting the Values into the Expressions


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table


Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering


Caroline decided to add up all the numbers from $1$ to $50$.  What total did she get?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Terms in Arithmetic Sequences


Mary started from the number $$15$$ and counted back in steps of $$6$$.  Which of these numbers did she count?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences


A 1-kg object is moving with a velocity of 6 m/s to the right. It collides and sticks to a 2-kg object moving with a velocity of 3 m/s in the same direction. How much kinetic energy was lost in the collision?


Find the number A such that the following statement is true  $$7 \times A=3 \times 8 + 4 \times8$$


Which of the following expression is the simplest?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


What is the missing denominator?  $\dfrac{6}{\boxed{?}}$$$=\frac{9}{12}$$

Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Basic Properties of Fractions->Using Common Factors to Simplify Fractions


When calculating $0.25\times10$,~each digit of $0.25$ moves~~\uline{~~~~~~~~~~}~place(s) to the~\uline{~~~~~~~~~~}~, and we obtain the result~~\uline{~~~~~~~~~~}~.

one; left; $02.5$

two; left; $25$

one; right; $.025$

one; left; $2.5$

one; right; $0.025$


A rectangle has a perimeter of $36\rm cm$. Which could be the area of the rectangle?


$0.6\times\square=0.48$  What number needs to go in the box to make the statement correct?


If $3^{}x=9$, then $2^{3x}=$ ?  $\textasciitilde$


Which of the following groups has equivalent ratios?

$2$ to $5$, $\frac{0.5}{5}$

$\frac{2}{5}$, $2$ to $15$

$$\frac{2}{5}$$, $2:5$

$2:5$, $\frac{5}{2}$

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


For number $$360$$, what is its exponential form?

$$2^{2}\times 3^{2}\times 5$$

$$2^{2}\times 3^{2}\times 5^{2}$$

$$2^{2}\times 3^{3}\times 5$$

$$2^{3}\times 3^{2}\times 5$$

Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction


An empty jug has a capacity of $3.5$ litres.  Ben has a cup that holds $400$ ml when full.  Ben fills his cup up and pours the water into the jug.  He does this $8$ times in total.  How much more water could fit in the jug?

$100\rm ml$

$200\rm ml$

$300\rm ml$

$400\rm ml$

$500\rm ml$

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Volume and Capacity


Which of these numbers is less than its reciprocal?

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Fraction by Comparing Its Reciprocal


What does the digit $$7$$ in $$50.763$$ stand for?

$$7$$ ones

$$7$$ tenths

$$7$$ hundredths

$$7$$ thousandths

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals


Tom will start writing his homework on Wednesday. He is going to spend $3$ days on his homework. What day of the week will it be when he finish the homework?

Monday

Tuesday

Thursday

Friday

Saturday


In the sequence which begins $$2$$, $$3$$, $$5$$, $$10$$, \ldots{} each number after the second is the sum of all the previous numbers in the sequence.  What is the $$10^{\text{th}}$$ number in the sequence?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)


Which of the following calculations is correct?

$${(\frac{1}{2})}^{2}-{(\frac{1}{2})}^{3}=\frac{1}{4}$$

$$a^{100}\cdot a^{100}=2a^{100}$$

$$3^{44}\cdot 3^{33}=3^{77}$$


A box holds $150$ carrier bags. How many boxes are required for $6450$ carrier bags?

Overseas Competition->Knowledge Point->Calculation Modules


A 95 percent confidence interval for the mean time, in minutes, for a volunteer fire company to respond to emergency incidents is determined to be (2.8, 12.3). Which of the following is the best interpretation of the interval?

Five percent of the time, the time for response is less than 2.8 minutes or greater than 12.3 minutes.

The probability is 0.95 that a randomly selected time for response will be between 2.8 minutes and 12.3 minutes.

Ninety-five percent of the time the mean time for response is between 2.8 minutes and 12.3 minutes.

We are 95\% confident that the mean time for response is between 2.8 minutes and 12.3 minutes.

We are 95\% confident that a randomly selected time for response will be between 2.8 minutes and 12.3 minutes.


What is $$y$$ if $$56y=728$$?  Choose the answer.

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable


Which is the only number that is a factor of $48$ and a multiple of $8$?


It takes 3 metres of cloth to make a suit. Now we have 26 metres of cloth. How many suits can we make?~\uline{~~~~~~~~~~}~

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders


Judy writes a series of numbers: $3, 6, 9, 12, 15, \cdots 27.$ Lily follows the pattern and writes the next number after Judy. What number will Lily write?


Which of the following is equivalent to $0.5\dot{6}\dot{7}$?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals


Find the sum of $$\frac{3}{5}$$ and $$\frac{1}{3}$$?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions


Put these numbers in order from the smallest to the biggest.  $$0.525\textasciitilde\textasciitilde\textasciitilde\textasciitilde{} 0.7\textasciitilde\textasciitilde\textasciitilde\textasciitilde0.35\textasciitilde\textasciitilde\textasciitilde\textasciitilde0.175$$

$$0.7$$, $$0.525$$, $$0.35$$, $$0.175$$

$$0.175$$, $$0.525$$, $$0.35$$, $$0.7$$

$$0.175$$, $$0.35$$, $$0.525$$, $$0.7$$

$$0.7$$, $$0.35$$, $$0.175$$, $$0.525$$

$$0.175$$, $$0.35$$, $$0.7$$, $$0.525$$

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals


Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Converting Between Fractions, Percentage and Decimals


Tina thinks of a number.  She multiplies it by five, then add two, and doubles the result.  Her final result is $54$.  With which number did Tina start?


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


Martin exercises for $35$ minutes every day.  For how long does Martin exercise every week?

$2\rm h35\rm min$

$3\rm h45\rm min$

$4\rm h5\rm min$

$4\rm h15\rm min$

$1\rm h55\rm min$


Luna asks her grandmother how old she is, and her grandmother replies: "if you multiply your age by 5 and then add by 7, then you would be my age." Luna is 12 years old. Which of the following is an equation that correctly represents Luna\textquotesingle s grandmother\textquotesingle s age? Let $x$ represent grandmother\textquotesingle s age.

$x = 12 \times 5 - 7$

$x ~= 12 \times 5 + 7$

$x + 1= 12 \times 5 + 7$

$ 12 \times 5 + 7 - 1$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


Modern Earth atmosphere is composed of 78.08\% nitrogen, 20.95\% oxygen, and 0.93\% argon. Which of these gases was also abundant in the primordial Earth atmosphere?

nitrogen

oxygen

argon

none of the three


What is the number when $$187.45$$ is rounded to $$1$$ decimal place?


Look at the number pattern below. What is the missing number in the blank?  $$3010$$, $$3110$$, $$3310$$,~\uline{~~~~~~~~~~}~, $$4010$$, $$4510$$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences


If $$p$$ is a positive integer and $$q$$ is a negative integer, which of the following is greatest?

$$p-q$$

$$q-p$$

$$p+q$$

$$-p-q$$

Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers


A large store has a customer service department where customers can go to ask for help with store-related issues. According to store records, approximately $\dfrac{1}{4}$~of all customers who go to the service department ask for help finding an item. Assume the reason each customer goes to the service department is independent from customer to customer. Based on the approximation, what is the probability that at least I of the next 4 customers who go to the service department will ask for help finding an item?

$(\dfrac{4}{4})(\dfrac{3}{4})(\dfrac{2}{4})(\dfrac{1}{4})$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables


Which of the following expressions has the same result as $$934-165-35$$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers


A bus first leaves the station at $06:15$.  The bus leaves the station every $15$ minutes thereafter, with the last bus leaving at $21:45$.  How many buses leave the station during the day?


The distance between Nicole\textquotesingle s hotel and the entrance of Disneyland is $50$ kilometres. If  $1000$ metres = $1$ kilometres,  $100$ centimetres = $1$ metre,  Find the distance between Nicole\textquotesingle s hotel and the entrance of Disneyland in centimetres.

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table


The best way to write the product of $y$ and $2$ is~\uline{~~~~~~~~~~}~.

$2\times y$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


$$15\text{g}$$ coffee is dissolved in $$45\text{g}$$ of milk. What are the ratio of coffee to milk and the ratio of coffee to coffee-milk, respectively?

$$1:3$$, $$1:4$$

$$1:4$$, $$1:3$$

$$3:1$$, $$4:1$$

$$4:1$$, $$3:1$$

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering


Find the value of $$\left( -5-8 \right)\times \left( -1 \right)\div 13$$.


St. Norbert College in Green Bay conducts an annual survey of Wisconsin residents. In 2011 a random sample of 400 Wisconsin residents was selected and 25\% of respondents said the country is headed in the right direction. In a 2016 random sample of 664 residents, 28\% said they thought the country was headed in the right direction. Do these samples provide convincing evidence of a change in the proportion of adults who thought the country was headed in the right direction?

No, because the 95\% confidence interval for the difference contains 3\%.

No, because the 95\% confdence interval for the difference contains 0\%.

No, because the 95\% confidence interval for the difference does not contain 0\%.

Yes, because the 95\% confdence interval for the difference does not contain 3\%.

Yes, because the 95\% confdence interval for the difference contains 3\%.

Overseas Competition->Knowledge Point->Calculation Modules


Which three integers lie between $-2$ and its opposite on a number line?

$-1, 0, 1$

$1, 2, 3$

$-3, 0, 3$

$-3, -2, -1$

Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers


The\hspace{0pt} \hspace{0pt}Giraffe\hspace{0pt} \hspace{0pt}in\hspace{0pt} \hspace{0pt}London\hspace{0pt} \hspace{0pt}Zoo\hspace{0pt} \hspace{0pt}is\hspace{0pt} \hspace{0pt}~\uline{~~~~~~~~~~}~\hspace{0pt} \hspace{0pt}tall.

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units


What is $6795173$ rounded to the nearest ten thousand?


Which of the following is the correct expression of $0.101010\dots$?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals


The $5$-digit number $2023A$ divisible by $9$.  What is the remainder when this number is divided by $5$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers


Which of these fractions is the smallest?


Overseas Competition->Knowledge Point->Calculation Modules->Fractions


A medical center conducted a study to investigate cholesterol levels in people who have had heart attacks. A random sample of 16 people was obtained from the names of all patients of the medical center who had a heart attack in the previous year. Of the people in the sample, the mean cholesterol level was 264.70 milligrams per deciliter (me/dL) with standard deviation 42.12 mg/dL. Assuming all conditions for inference were met, which of the following is a 90 percent confidence interval for the mean cholesterol level, in mg/dL, of all patients of the medical center who had a heart attack in the previous year?

(242.26, 287.14)

(244.06, 285.34)

(246.24, 283.16)

(247.38, 282.02)

(260.09, 269.31)


What is $$34.96$$ rounded to the nearest tenth?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Finding Approximate Values


Following a decrease in the supply of oranges, the price of orange juice increased by 20 percent, which resulted in a 10 percent increase in the quantity of apple juice consumed. This implies that the cross elasticity of demand between orange juice and apple juice is

indeterminate


Ben is $$165\rm cm$$ tall. David is $$15\rm cm$$ shorter than Ben. Carl is $$10\rm cm$$ taller than David. What is the ratio of Carl\textquotesingle s height to David\textquotesingle s height to Ben\textquotesingle s height?


What is the value of $$\left( 84\div 7 \right)+7\times 6-3$$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


Which of the followings is the smallest?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals


Eddie and Squary went to the zoo. They saw $4$ sheep. After a while, they saw $2$ more sheep. How many sheep did they see in total?


What is the sum of the digits in the number $$2011$$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form


Which of the following fractions is the greatest?


$\textgreater$

$\textless$


Is $\sqrt {123}$ a number or a type of calculation?

it is a number

it is a calculation

it is both

it is none

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Sum of Two Grade Arithmetic Sequences


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


What is $$y$$ if $$56y=728$$?  Choose the answer.

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable


Kyle has $10$ dollars and Ming has $17$ dollars. The ratio of Kyle and Ming\textquotesingle s money is~\uline{~~~~~~~~~~}~.

$10:17$ (dollars)


1. Seven million, three hundred and eight thousand and twenty-eight in numerals is．

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers


What is the value of~$\dfrac{1}{3}\cdot\dfrac{2}{4}\cdot\dfrac{3}{5}\cdot\cdot\cdot\dfrac{18}{20}\cdot\dfrac{19}{21}\cdot\dfrac{20}{22}$?


Which digit in $$59.04$$ is in the tenth place?


Tom ran 2000 metres every day for fifteen days.  How many kilometres did he run altogether?

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length


Which of the following is equivalent to the expression $\frac{(x^{2})^{3}yz^{3}}{x^{3}y^{2}z^{2}}$ ?  $\textasciitilde$

$xyz$


Which of the following numbers is opposite to $\frac{2}{3}$?


$-1\times z$

$-z$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions


ones

tenths

hundredths

thousandths


The human heart beats an average of $$70$$ times per minute. On average how many times does it beat in one hour?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table


Which should I do first in this equation?  (3+5)x2

5 times 2

Overseas Competition->Knowledge Point->Calculation Modules


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals


None of the above


In a cave, there were two horses,one bear and three turtles. Later, five horses, three bear and four turtles joined them. low many animals are in the cave now


$$381\div 8=$$~\uline{~~~~~~~~~~}~  Round off your answer to $$2$$ decimal places.

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals


Simplify $$4\times a+b\times b$$. Which one is right?


The day before yesterday is Tuesday. What day is the day after tomorrow?

Tuesday

Wednesday

Friday

Saturday

Sunday


$4\min :1\text{day}$

$\frac{100\text{kg}}{30\min }$

$436\text{m} :5\text{cm}$

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion


How many of the following options are equations?  1.~$x=y$  2.~$x\gt1$  3.~$x\geqslant x-1$  4.~$1=2$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


Calculate the sum of the following mixed fractions.  $$1\frac{1}{3}+2\frac{9}{12}+3\frac{3}{5}+4\frac{1}{4}+5\frac{4}{6}+6\frac{10}{25}$$

None of the above


A, B and C share sweets in the ratio of $5:9:11$. A and B together get $18$ more sweets than C. How many sweets do they have altogether?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


Which three numbers can be put in the blanks to make the statement correct?  $2010 +$~\uline{~~~~~~~~~~}~$ = 2022 +$~\uline{~~~~~~~~~~}~$ -$~\uline{~~~~~~~~~~}~

$21$, $12$ and $3$

$36$, $25$ and $2$

$18$, $8$ and $4$

$14$, $5$ and $7$

$24$, $25$ and $15$


Which fraction is equivalent to $$\frac{20}{32}$$?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Using Common Factors to Simplify Fractions


Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers


Find the missing number in the pattern below?  1, 1 , 2 , 3 , 5 , 8 , ? , 21 , 34.


What is the opposite sign of \textbf{\textquotesingle+\textquotesingle{}}?

$$\times $$

$$\div $$


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Applying Place Value Principle in Fast Addition and Subtraction of Decimals

N/A.  Revise from (GL Assessment book$$1$$《Paper $$2$$》 $$6$$ years Question \#$$20$$)


Which of these fractions is the largest?

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering


For number $$300$$, what is its exponential form?

$$2^{2}\times 3^{2}\times 5$$

$$2^{2}\times 3\times 5^{2}$$

$$2^{3}\times 3^{2}\times 5$$

$$2^{3}\times 3\times 5$$

Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers


After simplifying the following expressions, which one is different from others?


If $a^{4}b^{2}=25$, then what is the value of $a^{6}b^{3}$ ?  $\textasciitilde$


What is the difference between $$89402$$ and $$968$$? Round off your answer to the nearest ten.

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->Comparing and Ordering Decimals


In $$26.73$$, the digit $$3$$ has the value of ．

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals

N/A.(Targeting Mathematics Workbook 《Decimals》Primary $$4$$B Question \#$$43$$)


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


Let $$f$$ be a function, such that for every real number $$x$$  $$\quad\quad\quad f\left( x \right)={{x}^{2}}\left( f\left( x-1 \right)-1 \right)$$  If $$f\left( 1 \right)=10$$, then$$f\left( 3 \right)$$ is equal to:．

Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly->Ordinary Type


A lot of bables were born in the zoo last year: two baby lions, three baby dolphins and four baby eagles  How many legs do all these babies have altogether?


The graph of $y=x-3$ does not pass through which quadrant?

Quadrant $I$

Quadrant $II$

Quadrant $III$

Quadrant $IV$


Given that carbon has a valence of 4 (it needs to form 4 covalent bonds to be stable) and oxygen has a valence of 2, how many oxygen atoms can a carbon atom bond to?


Dean swims for $72$ minutes. To keep his mind active, he works out the fraction of the total time that has passed every 30 seconds to $72$ minutes. How many of the results of his calculations can be expressed in the form $\frac{1}{n}$, where $n$ is an integer greater than $1$?

Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->Factorization


Fill in the blank with the correct number.  1, 1, 2, 3, 5, 8,~\uline{~~~~~~~~~~}~

None of the above

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences


Overseas Competition->Knowledge Point->Calculation Modules


Which of the expressions below has the same result as $16 \div (2\times4)$?

$16\times 2 \div 4$


Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Addition and Subtraction of Whole Numbers->Adding and Subtracting within 10000->Subtracting 2-digit Numbers from 3-digit Numbers

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers


Which of the following commonly used conversion factors cannot be used to convert weight units?

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion


Katie bought three identical pencils, two identical pens and two identical erasers, and paid ＄$$11.60$$. Hannah bought one pencil, two pens and two erasers, and she paid ＄$$8.40$$. How much does one pencil cost?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Equivalent Substitution that can be Directly Calculated


Under the influence of a force, an object of mass 4 kg accelerates from 3 m/s to 6 m/s in 8 s. How much work was done on the object during this time?


A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water and tap water, what is the probability that \uline{at least} 8 of the 9 participants will correctly identify the tap water?


Timmy has ten $20$ cents coins and some $50$ cents coins.  All these coins add up to ＄$5.50$.  How many $50$ cents coins does Timmy have?


Which of the following is the correct "Percent of Change Formula"?

$\frac{new-original}{new}\times 100\textbackslash\%$

$\frac{original-new}{new}\times 100\textbackslash\%$

$\frac{new-original}{original}\times 100\textbackslash\%$

$\frac{original-new}{original}\times 100\textbackslash\%$

Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation


Use the digits $2$, $3$, $8$ to form a three-digit number and each digit can only be used once.  What is the sum of the maximum $3$-digit number~and the minimum $3$-digit number？

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


A box has fewer than 50 cookies in it. The cookies can be divided evenly between 2, 3, or 4 children. However, they cannot be divided evenly between 7 children because 6 more cookies would be needed. How many cookies are there in the box? (2021 Math Kangaroo Problem, Level 3-4, Question \#20)


Every day of the year, an average of $199$ people each donated $5$p to a charity.  Estimate how much money the charity raised through donations in one year?


$$10 \times259 = 259\times \square +6\times 259$$  The missing number in the box is ．

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers


Which of the following inequalities is always true?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities


Linda buys five skirts costing £12.99,~£25.99, £18.99, £31.99 and~£9.99.  How much change does she get from £120?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Subtraction of Decimals


Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


$$20-x\geqslant 3$$

$$\textbar x\textbar\leqslant 1$$


Which of these fractions is not equivalent to $\frac34$?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions


Determine the phenotype ratio (dominant phenotype : recessive phenotype) for a cross between a seal homozygous dominant for whisker length and a seal that has short whiskers.


If the ratio of men to women at a party is $3:5$, which of the following could be the number of people at the party?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


Toyota's average cost of producing 3 cars is $\textbackslash$30,000$ and its average cost of producing 4 cars is $\textbackslash$25,000$. Find Toyota's total cost of producing 3 and 4 cars. What was the marginal cost of the 4th car?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


Which value is a solution to the given equation $\textbar x-3\textbar=x-3$


Divide $$609$$ by $$6$$ and the quotient is．

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


A film lasted for $1$ hour and $25$ minutes and finished at $13:10$. At what time did the film start?


$$3 \frac{1}{4}$$

$$3 \frac{1}{2}$$

Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Meaning of Fractions->Relationship Between Fraction and Division


Will's calculator is broken. The $+$ and the $--$ buttons are the wrong way round.  What will he get if he types in $7 -- 4 + 1$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition and Subtraction of Whole Numbers->Questions Involving Addition and Subtraction


Jasson was selling some old stationery. A set of pens cost $\textbackslash$5x$ and a set of pencil cost $\textbackslash$y$. He then bought some new clothes for $\textbackslash$2x$. What is the amount of money Jasson has now in terms of $x$ and $y$?


Dave bought $4$ packets of chips at $2.40$ dollars each and $3$ cans of soft drink at $70$ cents each. How much did he spend altogether?

$11.70$ dollars

$10.70$ dollars

$9.70$ dollars

$8.70$ dollars

$10.50$ dollars

Overseas Competition->Knowledge Point->Calculation Modules


If~$A\textbackslash{} \blacksquare\textbackslash{} B=(A\times A)-B$, then~$(3\textbackslash{} \blacksquare 4)\textbackslash{} \blacksquare\textbackslash{} 5$~$=$ $$

Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition


What is the answer when you multiply $$46$$ tens by $$10$$?


A bus leaves a bus station at $11:53$.  It travels at a constant speed of $60$km per hour.  How many km has the bus travelled by $12:38$?

$80\rm km$

$30\rm km$

$60\rm km$

$75\rm km$

$45\rm km$


The half-life of \textsuperscript{14}C, a radioactive isotope of carbon, is 5730 years. An archaeology team recently discovered an ancient burial site and detected only 1/4 of the expected amount of~\textsuperscript{14}C in the general environment. How old is this burial site?

716 years

2865 years

11460 years

22920 years


Eddie and Squary went to the zoo. They saw $4$ sheep. After a while, they saw $2$ more sheep. How many sheep did they see in total?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers


None of the above


Which of the following is equal to $$68\times20000$$?

$$10000+10000 \times68$$


Kangie eats only apples on Monday, Wednesday and Friday. On Tuesdays and Thursdays he eats only mangoes. He eats either 2 apples or 3 mangoes a day. On Saturdays and Sundays he eats nothing. How many pieces of fruit does Kangie eat in two weeks?


\uline{Before} selling some bottles, how many bottles does he have?

Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas


Take the smallest $$3$$-digit number and add it to the largest $$2$$-digit number. Subsequently, subtract from this sum the largest $$1$$-digit number. What is the answer number obtained?

None of the above


What is the least possible value of $$21x+14y$$, if $$xy=6$$ and $$y\textgreater0$$?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Indefinite Equations->Indeterminate Addition Equations


In a park there are $15$ animals: cows, cats, and kangaroos. We know that precisely $10$ are not cows and precisely $8$ are not cats. How many kangaroos are there in the park? (2019 Math Kangaroo Problem, Level 3-4, Question \#21)


$$10$$ more than the sum of $$3624$$ and $$879$$ is ．

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals


Here is part of a number sequence.  $2, 9, 16, 23, 30, 37\dots$  Which number below would appear in the sequence?


Which of the followings is not equal to $14$?


Bella only eats apples and bananas every week. Each day she eats either $2$ apples or $4$ bananas. Last week, she ate bananas for four days. How many fruits did she eat last week?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


Which of the following expressions has the same value as $$20\times 42$$?

$$20\times 1+20\times 40$$

$$20\times 2+20\times 40$$

$$42\times 2+42\times 0$$

$$42\times 2+42\times 10$$

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers


Which is the solution of the following inequality:  $-21x-11\geq-31-x$.

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities


5; 26

7; 46

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Time


A book has $$80$$ pages. On day 1, Danny read $$15\textbackslash\%$$ of the book. On day 2, he read $$25\textbackslash\%$$ of the book. How many pages are left to read．

Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation


Which of these quantities could be the length of a bedroom?

$500$ mm

$5000$ m

$0.5$ km

$20$ feet

$20$ inches

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units


$\frac{1}{12}, \frac{1}{6}, \frac{1}{3}, \frac{7}{12}, \frac{11}{12}\dots$  What fraction comes next in the sequence?


The scores on two tests in a statistics class were approximately normally distributed. The first test had a mean of 42 and a standard deviation of 5. For the second test, the mean was 45 with a standard deviation of 6. Jemma earned a 38 on the first test. What score on the second test would be at the same percentile as her score on the first?


Which of the following equations is a linear equation?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable


What is the simplest form of $\frac{125}{750}$?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions


If $$888\cdot 111=2\cdot (2\cdot n)^{2}$$ and $$n$$ is a positive integer, then $$n$$ equals:.

Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Power of Products


The function $$y=a\times 2^{}x$$ is constant when $$a=$$~\uline{~~~~~~~~~~}~, the function $$y=2\times b^{}x$$ is constant when $$b=$$~\uline{~~~~~~~~~~}~.

Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers


None of the above

Overseas Competition->Knowledge Point->Calculation Modules


What number is five more than half of thirty-six?


At a certain university, library study rooms have a maximum time limit of 3 hours per student. A librarian takes a random sample of times that 37 students use the study rooms and found that the mean time was 2.7 hours with a standard deviation of 0.2 hours. Which of the following is the best description of the amount of time that students used the study rooms?

The distribution has a median that is less than the mean.

The distribution of times is approximately normal since the standard deviation is approximately 95\% smaller than the mean.

The distribution of times is approximately normal since the sample size is greater than 30, and thus the Central Limit Theorem applies.

The distribution of times is skewed to the right because the maximum possible time is within two standard deviations of the mean.

The distribution of times is skewed to the left because the maximum possible time is within two standard deviations of the mean.


Which of the following is \uline{not} equal to $$12$$?

$$2$$ sixes

$$6\times 6$$

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions


Which one of the following has the same value as $$\frac{2}{3}\div 8$$?

$$\frac{2}{3} \times \frac{1}{8}$$

$$\frac{2}{3} \times 8$$

$$\frac{3}{2} \times \frac{1}{8}$$

$$\frac{3}{2} \times 8$$


$$10:\boxed{?}:14=15:6:21$$. What is the missing number in the box?．

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio

N/A.  $$2014$$ Henry Park Primary School, Semestral Examination $$2$$, Primary $$5$$, Question \#$$13$$


$$2\times \frac{3}{4}$$

$$2\div \frac{3}{4}$$

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions


There are $15$ apples in each of $6$ trees. Five children want to pick some apples. Two of them pick $13$ apples, and three of them pick $20$ apples. How many apples are left in the trees?


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form


Tick the correct statement below:  Is the answer to $32.6578 \times ~32.6578$．

Below $100$?

Between $100$ and $1000$?

Between $1000$ and $1100$?

More than $1100$?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals->Multiplication of Decimals


What is the number when $$187.45$$ is rounded to $$1$$ decimal place?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals


Think Academy purchased some footballs and basketballs, the ratio of the number of footballs to the number of basketballs is 5:6, and the ratio of the unit prices is 9:10. What is the ratio of their total prices?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


A contestant\textquotesingle s final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base amount, the contestant randomly selects one of four cards, where two cards are marked $\textbackslash$1,000$, one card is marked $\textbackslash$2,000$, and one card is marked $\textbackslash$5,000$. After choosing the card, the contestant randomly selects one of five chips, where three chips are red and two chips are white. If the selected chip is red, the contestant\textquotesingle s final winnings are twice the value of the base amount. If the selected chip is white, the contestant\textquotesingle s final winnings are the value of the base amount. What is the probability that a contestant\textquotesingle s final winnings are exactly $\textbackslash$2,000$?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables


Four candy bars and three lollipops cost $$4.50$$ dollars. One candy bar costs $$90$$ cents.  How much does one lollipop cost?

$$20$$ cents

$$30$$ cents

$$40$$ cents

$$50$$ cents

$$60$$ cents

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table


The first term of an arithmetic sequence is $$7$$ and the $$3^{}\text{rd}$$ term is $$17$$, what is the common difference of the arithmetic sequence?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


which one of the following is the same as $$3\times \frac{2}{7}$$?

$$3 \times 2 \times \frac{1}{7}$$

$$\frac{2}{7} \times \frac{2}{7} \times \frac{2}{7}$$

$$3 \times \frac{2}{7} \times \frac{1}{7}$$


$$\frac{1}{3}+\square =\frac{3}{4}$$  What is the missing fraction in the box? ．


Which card below has the greatest value?

$$10$$ ones

$$1$$ ten and $$8$$ ones

$$16$$ ones

$$1$$ ten and $$5$$ ones

$$19$$ ones

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering


Which of the following expressions CANNOT be represented by $$4 \times 3$$?


The speeds of Selena and Polly is $4:7$. It takes Selena $28$ minutes to complete a race. How long does it take Polly to complete the same race?

$49\rm\textasciitilde minutes$

$7\rm\textasciitilde minutes$

$4\rm\textasciitilde minutes$

$16\rm\textasciitilde minutes$


NBA Score

Time on the clock

A statement

A recipe


The numbers 1, 5, 8, 9, 10, 12 and 15 are distributed into groups with one or more numbers. The sum of the numbers in each group is the same. What is the largest number of groups?


The commuting time for a student to travel from home to a college campus is normally distributed with a mean of 30 minutes and a standard deviation 5 minutes. If the student leaves home at 8:25 A.M. What is the probability that the student will arrive at the college campus later than 9 A.M.?


What is the missing number?  $$1386$$,~ $$1586$$,~ $$1986$$,~~$$\boxed ~{\textasciitilde\textasciitilde?\textasciitilde\textasciitilde}$$,~ $$3386$$.

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences


$$4a+2b+3c=20$$  Which of the statements below is incorrect?  Choose the answer.

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


Yes

No

This is a wrong answer but I just want to choose it

Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation


How many groups of four are there in $$84$$?


Overseas Competition->Knowledge Point->Calculation Modules->Fractions


$$245 \times 48 = 245\times~ 50-\square $$  What is the missing number in the box?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Distributive Law of Whole Numbers


A sequence of numbers is generated by subtracting the same amount each time.  If the $4^{\rm th}$ term is $5$ and the $11^{\rm th}$ term is $-16$, what is the $1^{\rm st}$ term of the sequence?

Overseas Competition->Knowledge Point->Calculation Modules


Yes

No

Not sure

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers


The graph above shows the position x as a function of time for the center of mass of a system of particles of total mass 6.0 kg. For a very short time interval around 2.0 s, an external force is exerted on an object in the system. What is the resulting change in momentum of the system?


The amount of money that Rachel saved was $$\textbackslash$1670$$ when rounded off to the nearest $$\textbackslash$10$$. What was the greatest amount of money she could have possibly saved (from the below options)?


Which of the following is an inequality that is always true？

$x \textgreater{} 1$

$1 \textless{} -1$

$y +1 \geq 2$

$2 + 1 \geq 3$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities


A packet of biscuits costs $$x$$ pence.  I buy $$6$$ packets.  Which expression shows how much change I will get from £$$5$$?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number


What is the opposite sign of \textbf{\textquotesingle$\times$\textquotesingle{}}?

$$\times $$

$$\div $$


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals


Fill in the blank with the correct number.  1,1,2,3,5,8,~\uline{~~~~~~~~~~}~

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)


Estimate the sum of $$298608$$ and $$7290$$ by rounding off each number to the nearest thousand first (before calculating the result).

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers


Which of the following is an linear equation written in slope-intercept form?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable


There are $15$ people coming to Laura's party.  Laura wants to prepare four meatballs, two slices of pizza, and three scoops of ice cream for each guest.  A bag (B) of meatballs contains $12$ meatballs, a pizza (P) can be cut up into $10$ slices and a tub (T) of ice cream can be divided into $5$ scoops.  Which expression shows how many bags of meatballs, pizzas and tubs of ice cream Laura must buy?

$3\rm B+5\rm P+9\rm T$

$3\rm B+5\rm P+4\rm T$

$9\rm B+3\rm P+5\rm T$

$15\rm B+6\rm P+3\rm T$

$5\rm B+3\rm P+9\rm T$


Look at this sequence:  72, 70, 66, 60, 52,~\uline{~~~~~~~~~~}~,~\uline{~~~~~~~~~~}~, $\cdots$  What is the $$7\text{th}$$ number in this sequence?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->Two Grade Arithmetic Sequences


Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences


Eddie has $$y$$ toys. Bob has $$150$$ more than two times the number of toys Eddie has. Bob hastoys．


I'm thinking of two numbers, one of which is three times as big as the other. When I double one of my numbers and then add it to the other I get $$140$$. Which of the following cannot possibly be one of my numbers?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


The random variable X is normally distributed with mean 5 and standard deviation 25. The random variable Y is defined by Y = 4+2X. What are the mean and the standard deviation of Y?

The mean is 20 and the standard deviation is 102.

The mean is 20 and the standard deviation is 50.

The mean is 22 and the standard deviation is 102.

The mean is 22 and the standard deviation is 100.

The mean is 22 and the standard deviation is 50.


What is the set of solution to the equation $\sqrt{x+6}=x$ ?  $\textasciitilde$

$\textbackslash{-2, 3\textbackslash}$

There are no solutions to the given equation.


A satellite that is a spinning cylinder has initial rotational inertia I\textsubscript{0}~and angular velocity w\textsubscript{0.~}Solar panels unfold from the satellite and are extended outward. The satellite then has rotational inertia I\textsubscript{f} = al\textsubscript{0} and angular velocity w\textsubscript{f} = bw\textsubscript{0,~}where a and b are constants. Which of the following is true about the constants a and b ?

a = l and b = 1

a \textgreater{} 1 and b \textless{} l

a \textgreater{} l and b = 1

a \textless{} l and b \textless{} l


One basket can contain no more than $35$ eggs. What is the samllest number of baskets needed to contain $150$ eggs?


Which of the following ratio is equivalent to $$18:12$$?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio


$$\frac{9}{6}\textgreater{} \frac{10}{7}$$

$$\frac{12}{25}\textgreater\frac{50}{99}$$

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering->By Converting Fractions into Decimals


A bag contains green mints and red mints only. If 75\% of the mints are green, what is the ratio of the number of green mints to the number of red mints? (A)

$$3 : 4$$

$$3 : 1$$

$$4 : 3$$

$$1 : 3$$

$$3 : 7$$

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


The product of $5$ and $a$ is the same as $2$ plus $b$. Which of the following is the correct expression?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


Three friends write down the first $30$ numbers ($1--30$) on separate cards.  Karry says, ``I have all the prime numbers.''  Barry says, ``I have all the odd numbers that aren\textquotesingle t prime.''  Larry says, ``I have all the even numbers that aren\textquotesingle t prime.''  How many cards is Larry holding?


Expressions: The combination of numbers, symbols and operators.  (1) A single number or a single letter can be considered an algebraic expression.  (2) Equations and inequalities are NOT expressions.  Which of the following is \textbf{NOT} an expression?

a

$$a+b=a+b$$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


Bill is making a scale model of Willis Tower. The Willis Tower is $440\text{m}$ tall and his model is $110\text{cm}$ tall. What is the scale of the model, in its simplest form?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction


$3, 6, 12, 24, 48, \dots$  What number comes next in the sequence?

Overseas Competition->Knowledge Point->Calculation Modules


Carl has $7$ dollars and $40$ cents. One hammer cost $1.70$ dollars, and one saw is $50$ cents cheaper than one hammer. After buying $3$ hammer and $1$ saw, how much does he have left?

$1.5.$ dollars

$1.3.$ dollars

$1.2.$ dollars

$1.1.$ dollars

$0.8.$ dollars


Which of the following group has equivalent ratios?

$2$ to $5$, $\frac{0.5}{5}$

$\frac{2}{5}$, $2$ to $15$

$$\frac{2}{5}$$, $2:5$

$2:5$, $\frac{5}{2}$


Luna asks her grandmother how old she is, and her grandmother replies: "if you multiply your age by $5$ and then add by $7$, then you would be my age." Luna is $12$ years old. Which of the following is an equation that correctly represents Luna\textquotesingle s grandmother\textquotesingle s age? Let $x$ represent grandmother\textquotesingle s age.

$x = 12 \times 5 - 7$

$x ~= 12 \times 5 + 7$

$x + 1= 12 \times 5 + 7$

$ 12 \times 5 + 7 - 1$


A disc has a radius of 5 cm. If the disc rotates about its central axis at an angular speed of 8 rev/s, what is the linear speed of a point on the rim of the disc?  $\textasciitilde$  $\textasciitilde$

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating


A book costs £8.32.  Mark buys the book and pays with a~£$$10$$ note.  All the change he gets is coins.  What is the smallest number of coins that he can receive in change?

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money


A large store has a customer service department where customers can go to ask for help with store-related issues. According to store records, approximately $\dfrac{1}{4}$~of all customers who go to the service department ask for help finding an item. Assume the reason each customer goes to the service department is independent from customer to customer. Based on the approximation, what is the probability that at least 1 of the next 4 customers who go to the service department will ask for help finding an item?

$(\dfrac{4}{4})(\dfrac{3}{4})(\dfrac{2}{4})(\dfrac{1}{4})$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables


Which of these fractions is equal to $0.2$?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Converting Fractions into Decimals


Which of the following numbers when rounded off to the nearest ten becomes $$26500$$?

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion

Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Estimation->Estimating the Results of Computations->Rounding Whole Numbers


There are $$27$$ boys and $$18$$ girls at a school camp. What is the ratio of the number of boys to the total number of pupils at the school camp? Give the answer in the simplest form.


Find the value of $\frac{4}{9} \times \frac{3}{16}$.

Overseas Competition->Knowledge Point->Calculation Modules->Fractions


~When using the kinematics equation $x\textbackslash{} =\textbackslash{} x\_{0}+v\_{x0}t+1/2a\_{x}t^{2}$, which of the following is always assumed to be true?

$a\_{x}\textbackslash{} =\textbackslash{} zero$

$x\textbackslash{} \gt\textbackslash{} x\_{0}$

$v\_{x0}$~is positive.

$a\_{x}$~is constant.


How many sixths are there in $$2\dfrac{2}{3}$$?

Overseas In-curriculum->Knowledge Point->Knowing Numbers->Fractions->Meaning of Fractions->The Wholes and Unit Fraction

Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas


Observe the pattern in the following sequence. What is the $67\text{th}$ number in this sequence?  $4, 3, 1, 2, 5, 4, 3, 1, 2, 5, 4, 3, 1, 2, 5\dots$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences


The distribution of monthly rent for one-bedroom apartments in a city is approximately normal with mean $\textbackslash$$936 and standard deviation $\textbackslash$$61. A graduate student is looking for a one-bedroom apartment and wants to pay no more than $\textbackslash$$800 in monthly rent. Of the following, which is the best estimate of the percent of one-bedroom apartments in the city with a monthly rent of at most $\textbackslash$$800?


Yesterday is Saturday, What day is the day after tomorrow?

Monday

Tuesday

Wednesday

Thursday

Sunday


A bus leaves from a bus stop at $06:30$ and then every half hour afterwards. If ~arrives at the bus stop at $10:32$, how long does he have to wait for a bus?

$28\rm min$

$18\rm min$

$32\rm min$

$2\rm min$

$32\rm min$


Which sequence is an arithmetic sequence?

$$1$$, $$2$$, $$4$$, $$5$$, $$7$$, $$8$$, $$10$$, $$11$$, $$\cdots$$

$$1$$, $$2$$, $$1$$, $$2$$, $$1$$, $$2$$, $$1$$, $$2$$, $$\cdots$$

$$2$$, $$5$$, $$8$$, $$11$$, $$14$$, $$17$$, $$21$$, $$\cdots$$

$$5$$, $$10$$, $$15$$, $$20$$, $$25$$, $$30$$, $$35$$, $$\cdots$$


What is the simplest fraction of $\frac{125}{750}$?


I have 25 cards numbered 30-54. What percentage of the cards show multiples of 4?

Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation


Which of the following is a continued ratio?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


The sequence below must contain all the numbers from $$1$$ to $$4$$, and each number can only appear once. What number comes next?  $$1$$, $$4$$, $$3$$,~\uline{~~~~~~~~~~}~．


An object is moving with a constant acceleration of 2 m/s^{2}. If its initial velocity is 10 m/s, what is its velocity after 5 seconds?

0 m/s

10 m/s

20 m/s

30 m/s

Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers


How many terms and variables does the expression $3xz+y+25$ have?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


Elma took $$2$$ candy bars to school. First, she traded each of them for $$4$$ apples, and then she traded each of the apples for $$3$$ mandarin oranges. How many mandarin oranges did she have after all the trading? (2008 Math Kangaroo Problem, Level 1-2, Question \#9)

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Object Substitution


Devi is $$9$$ years old and Valli is $$13$$ years old now. What is the ratio of Devi\textquotesingle s age to Valli\textquotesingle s age in $$5$$ years\textquotesingle{} time?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio


Which of the following is not a unit of length?

centimeter

meter

inch

pound

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Knowing Units


None of the above

Overseas Competition->Knowledge Point->Calculation Modules


If $p-9=12$, what number does $p$ stand for?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form


A rocket stays initially at rest. After ignition, rocket has a constant upward acceleration of 90 m/s², and reaches a final velocity of 5400 m/s. How long does the rocket take to reach to this final velocity?  $\textasciitilde$  $\textasciitilde$  $\textasciitilde$


Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers


Quinn\textquotesingle s Cupcake shop has a price elasticity of supply of 3.75.  Which of the following statements is the correct interpretation of this price elasticity of supply?

For every 1\% increase in price, Quinn will be willing to sell 3.75 more cupcakes

For every $3.75 increase in price, Quinn will be willing to sell 1\% more cupcakes

For every $3.75 increase in price, Quinn will be willing to sell 1 more cupcake

For every 1\% increase in price, Quinn will be willing to sell 3.75\% more cupcakes

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


The total cost of $$4$$ rulers is the same as the total cost of $$2$$ rulers and $$6$$ pencils.  How many pencils cost the same as $$ 5$$ rulers?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Addition and Subtraction of Equations


What is the opposite sign of \textbf{\textquotesingle~$\times$ \textquotesingle{}}?

$$\times $$

$$\div $$


The combustion of glucose releases energy. The ratio of grams of glucose combusted to kilocalories of energy released is 12.0 to 45.0. How many grams of glucose must be combusted to provide 85.5 kilocalories of energy?


Count the amount of money shown by the coins below.  The total amount of money is．

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Money

Overseas In-curriculum->Knowledge Point->Measurement->Money->U.S. Currency Units->Currency Conversion


None of the above


Kelly has $$2$$ two-dollar notes. She exchanges the notes for $$20$$-cent coins. How many coins will she receive?

Overseas In-curriculum->Knowledge Point->Measurement->Money->Singapore Currency Units->Conversion of Cents and Dollars


How many solutions does the equation $\textbar x-3\textbar=-2$ have?

Zero

Exactly one

Exactly Two

More than two


The graph of $y=-3x-1$ does not pass through which quadrant?

Quadrant $I$

Quadrant $II$

Quadrant $III$

Quadrant $IV$


Peter bought $2$ watermelons, a banana and an apple, which cost a total of $20$ dollars. Joey bought a banana and $2$ apples, which cost $7$ dollars less than Peter. The unit price of watermelon is $3$ dollars higher than that of banana. How much is an apple?

$$3$$ dollars

$4$ dollars

$5$ dollars

$6$ dollars

$$7$$ dollars

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution


Which digit in $$31.902$$ is in the tenths place?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals


$m$~and~$n$~are reciprocals.~$\dfrac{3}{m}\div\dfrac{n}{5}=\textbackslash{} (\textbackslash{} \textbackslash{} \textbackslash{} \textbackslash{} ).$

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions


Which of the following correctly uses butterfly method to solve $\frac{x}{7}=\frac{3}{5}$?

$3x=7\times 5$

$5x=7\times 3$


When a 0.05-kg mass is attached to a vertical spring, it is observed that the spring stretches 0.03 m. The system is then placed horizontally on a frictionless surface and set into simple harmonic motion. What is the period of the oscillations?


The next two numbers in the pattern $1, 1, 2, 3, 5,$ are $\cdots$

$7$ \& $11$

$8$ \& $12$

$8$ \& $13$

$3$ \& $2$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences->The Fibonacci Sequences (Rabbit Sequences)


To obtain $$9^{9}$$, to which power does $$3^{3}$$ need to be raised?


If the equation $\sqrt{x+2}=a$ with respect to $x$ has no solution, which of the following is a possible value of the constant $a$?  $\textasciitilde$


Which of the following is equal to $x^{}\frac{4}{3}$ for all values of $x$?  $\textasciitilde$

$x\sqrt{x}$


$65.2 \textbackslash\%$

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length


Which of these fractions expressions has the \textbf{smallest} value?

$$\frac{1}{3} \times \frac{1}{6}$$

$$\frac{1}{3} \div \frac{1}{6}$$

$$\frac{1}{6} \div \frac{1}{3}$$


Fill in the blank with the correct number.  $1, 1, 2, 3, 5, 8,$~\uline{~~~~~~~~~~}~

None of the above

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences


Study the number pattern below. What is the missing number in the pattern?  $$1015$$, $$1025$$, $$1045$$, $$1075$$,~\uline{~~~~~~~~~~}~, $$1165$$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Patterns in Number Sequences


What is the product of $$51$$ and $$706$$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


Brian and Charles had some stickers. At first, the number of stickers Brian had was $$\frac{4}{7}$$ of the total number of stickers. Then, Brian sold $$\frac{3}{8}$$ of his stickers. Find the ratio of the number of stickers Brian had at the end to the number of stickers Charles had at the end.

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Ratio


A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?

About 95\% of all random samples of 50 students from this population would result in a 95\% confidence interval of (6.73.7.67).

About 95\% of all random samples of 50 students from this population would result in a 95\% confidence interval that covered the population mean number of hours of sleep per day.

95\% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.

95\% of the students in this high school sleep between 6.73 and 7.67 hours per day.

A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95\% of the time.

Overseas Competition->Knowledge Point->Calculation Modules


Choose the answer to this calculation.  $$67.9-32.68$$

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals


Which of the following groups contains more equations?  Group 1: $y=1$ $\quad$ $x+1$  Group 2: $c + 1 = b$ $\quad$~ $c \textless{} 2$  Group 3: $z = x$ $\quad$~ $z = 1$

Group 1

Group 2

Group 3

They all contain the same number of equations.


Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


Paul draws a plan of his school using a scale of $$2\text{cm}$$ to $$5\text{m}$$.  The real length of the hall is $$15\text{m}$$ long.  What is the length of the hall on the plan?

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions->Scale


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table


There were $$9$$ pieces of paper. Some of them were cut into three pieces. As a result, there are now $$15$$ pieces of paper now. How many pieces of paper were cut?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


To the number $$209$$ we add $$212$$. Then we multiply the result by $$29$$ and then we add $$208$$. Then the final result will be same as the result of the computation: (adapted from $$2012$$ Math Kangaroo Problem, Level $5$-$6$, Question \#$$7$$)．

$$209+212\times 29+208$$

$$(209+212\times 29)+208$$

$$(209+212)\times 29+208$$

$$(209+212)\times (29+\textasciitilde208)$$


（1）45-6\times 7  （2）6+27\div 3  What should we do first?

\times /\div


One tour bus can seat no more than $$55$$ people. What is the smallest number of buses needed to take $$160$$ people?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders


Which of the following is an algebraic expression?

$$\pi$$


Which of these numbers is closest in value to $$1$$?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals->Comparing Decimals


Stephen had $50$ balls, and Kevin had a certain number of balls. Then Kevin sold half of his balls. Finally the number of Kevin\textquotesingle s balls is $8$ less than that of Stephen\textquotesingle s balls. How many balls did Kevin have at first?


There are $80$ children in a class.  There are $16$ more girls than boys.  What percentage of the class are boys?


There are $15$ apples on each of $6$ trees. Five children want to pick some apples. Two of them each picks $13$ apples, and the others each picks $20$ apples. How many apples are left on the trees?


l am a number. If you count by tens you will say my name. I am not ten. If you add me to 40, you will get a number less than 70. Who am I?


To remove the parentheses, which one is correct?


There are $$16$$ pencils. Teacher try to divide these pencils into $$5$$ students equally. Assume $$x$$ represents the number of pencils each student can get. Which of the following inequalities can represent this situation?

$$5x\geqslant 16$$

$$5x\leqslant 16$$

$$5x = 16$$

$$x\geqslant 16$$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Inequalities


If the elasticity of demand for college textbooks is -0.1, and the price of textbooks increases by 20\%, how much will the quantity demanded change, and in what direction?

The quantity demanded increases by 2\%

The quantity demanded decreases by 20\%

The quantity demanded decreases by 2\%

The quantity demanded remains the same

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


The weight of adult male grizzly bears living in the wild in the continental United States is approximately normally distributed with a mean of 500 pounds and a standard deviation of 50 pounds. The weight of adult female grizzly bears is approximately normally distributed with a mean of 300 pounds and a standard deviation of 40 pounds. Approximately, what would be the weight of female grizzly bear with the same standardized score (z-score) as a male grizzly bear with weight of 530 pounds?

330 pounds

340 pounds

530 pounds


A commercial for a breakfast cereal is shown during a certain television program. The manufacturer of the cereal wants to estimate the percent of television viewers who watch the program. The manufacturer wants the estimate to have a margin of error of at most 0.02 at a level of 95 percent confidence. Of the following, which is the smallest sample size that will satisfy the manufacturer\textquotesingle s requirements?


The best way of writing $2\frac{1}{2}x$ is~\uline{~~~~~~~~~~}~.


Brian and Charles had some stickers. At first, the number of stickers Brian had was $$\frac{4}{7}$$ of the total number of stickers. Then, Brian sold $$\frac{3}{8}$$ of his stickers. Find the ratio of the number of stickers Brian had at the end to the number of stickers Charles had at the end.


Determine the percent of seal offspring that would be predicted to have long whiskers from a cross between one seal homozygous dominant for whisker length and one seal homozygous recessive for whisker length.


No

Yes

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers


Which of the following group has equivalent ratios?

$4$ to $3$, $\frac{0.4}{3}$

$\frac{4}{3}$, $8$ to $9$

$$\frac{4}{3}$$, $8:6$

$4:3$, $\frac{2}{3}$

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


Round 19.367 kilometres to the nearest 100 metres.

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Estimating Large Numbers


An engine maintains constant power on a conveyor belt machine. If the belt\textquotesingle s velocity is doubled, the magnitude of its average acceleration

is doubled

is quartered

is halved

is quadrupled


One box could contain $25$ strawberries. What is the smallest number of boxes needed to contain $110$ strawberries?


To the number $$209$$, we add $$212$$. Then we multiply the result by $$29$$, and then we add $$208$$. Then the final result will be same as the result of the computation: (Adapted from 2012 Math Kangaroo Problem, Level 5 - 6, Question \#7)

$$209+212\times 29+208$$

$$(209+212\times 29)+208$$

$$(209+212)\times 29+208$$

$$(209+212)\times (29+208)$$


Four sports cars travel $$4$$ kilometres in $$1$$ minutes. How long does it take for one sports car to travel $$4$$ kilometres?

$$1$$ minute

$$2$$ minutes

$$3$$ minutes

$$4$$ minutes

$$5$$ minutes


Which of the following statement about $$0$$ is true?

$$0$$ is positive

$$0$$ is negative

$$0$$ is neither positive nor negative

Do not know

Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers


A large city newspaper periodically reports the mean cost of dinner for two people at restaurants in the city. The newspaper staff will collect data from a random sample of restaurants in the city and estimate the mean price using a 90 percent confidence interval. In past years, the standard deviation has always been very close to $\textbackslash$$35. Assuming that the population standard deviation is $\textbackslash$$35, which of the following is the minimum sample size needed to obtain a margin of error of no more than $\textbackslash$$5?


Jim and his eight friends are going to share six pizzas equally between them．  What fraction of a whole pizza should each of them have?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->The Meaning of Fractions


A simple pendulum consists of sphere tied to the~end of a string of negligible mass. The sphere is~pulled back until the string is horizontal and then~released from rest. Assume gravitational potential~energy is zero when the sphere is at its lowest~point. What angle will the string make with the horizontal when the kinetic energy and the~potential energy of the sphere-Earth system is equal?

Greater than 45°

Equal to 45°~

Less than 45°

It cannot be determined without knowing the mass of the sphere.

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables


A male homozygous dominant for polydactyly and a female without polydactyly have offspring. What is the predicted phenotype ratio (polydactyly : not polydactyly) of their offspring?

0 : 1

1 : 0

1 : 1

3 : 1

1 : 3


Pip divides 612 by 7. What remainder should he get?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table


$$5$$ groups of $$6$$

$$5$$ groups of $$2$$

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division


What is the value of the expression~$\dfrac{1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8}{1+2+3+4+5+6+7+8}$?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences


There are 40 students in the class, and the number of boys is $$ \frac{5}{8} $$of the total number of students in the class. How many boys are there ?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions


$$9.09 $$

$$ 8.91 $$

$$9.101 $$

$$8.7 $$

Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating->Comparing and Ordering


Ming bought $$3$$ identical files and $$3$$ identical notebooks from a bookshop.  The $$3$$ identical notebooks cost as much as $$1$$ file. She paid ＄$$24$$ altogether.  How much did each file cost?

Overseas In-curriculum->Knowledge Point->Algebra-> Numbers, Letters and Equations->Equivalent Substitution->Conversion and Substitution


Which fraction is equivalent to $$\frac{24}{32}$$?

Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Basic Understanding of Fractions->Properties of Fractions


What is the sum of the first $20$ digits in the decimal part of $0.\dot{1}\dot{2}$?

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals


Harry has $11$ dollars. He is going to buy $3$ footballs which cost $1.5$ dollars each and a certain number of~ basketballs which cost $2.5$ dollars each. How many basketballs at most can he buy?

Overseas Competition->Knowledge Point->Calculation Modules


An object is dropped from a height of 50 meters. What is its velocity just before it hits the ground? Pick the closest answer and assume no air resistance.

0 m/s

10 m/s

20 m/s

30 m/s


Which of the following will increase the demand for burgers, a normal good?

An increase in consumers\textquotesingle{} income

A decrease in the price of burgers

An increase in the cost of beef used in producing burgers

An increase in the number of restaurants selling burgers

An increase in the price of a complementary product


Kate has $24$ apples, $12$ pears, and $8$ roses. She divides all the fruits equally among $4$ kids. How many fruits does each kid get?


The total surface area of a cube is $96\rm cm^{2}$. What is the volume of the cube?

$125\rm cm^{3}$

$343\rm cm^{3}$

$64\rm cm^{3}$

$$27\rm cm^{3}$$

$216\rm cm^{3}$


What is the predicted phenotype ratio of their offspring (red : both blue and red : blue)?~

0 : 1 : 1

0 : 1 : 0

0 : 0 : 1

1 : 0 : 0

1 : 1 : 1

1 : 1 : 0

1 : 0 : 1

1 : 2 : 1

2 : 1 : 1~

1 : 1 : 2


William got $75\textbackslash\%$ in a maths test.  His mark was $105$.  What is the full mark of the maths test?


After simplying the following expressions, which one is different from others?

$(x+y)-(x-y)$

$(x-y)+(-x+y)$

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions


The Koala ate some leaves from 3 branches. Each branch had 20 leaves. The Koala ate a few leaves from the first branch and then ate as many leaves from the second branch as were left on the first branch. Then it ate 2 leaves from the third branch. How many leaves in total were left on the 3 branches? (2021 Math Kangaroo Problem, Level 3-4, Question \#14)


For number $$250$$, what is its factor form and exponential form?

Factor form: $$2\times 2\times 5\times 5$$; Exponential form: $$2\times 5^{2}$$

Factor form: $$2\times 2\times 5\times 5$$; Exponential form: $$2^{2}\times 5^{2}$$

Factor form: $$2\times 5\times 5\times 5$$; Exponential form: $$2\times 5^{3}$$

Factor form: $$2\times 5\times 5\times 5$$; Exponential form: $$2^{2}\times 5^{2}$$

Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers


Carlos was just able to perceive a difference in weight when Maria removed two of the  50 jelly beans from his plastic bag. It is most likely that if Carlos had the jumbo bag of 100  jelly beans, the smallest number of jelly beans he could notice removed would be


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form


Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers


Given that $\frac{6^{}x}{4^{}x}=\frac{3}{2}$, what is the value of $x$ ?  $\textasciitilde$


Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals


The distribution of weights of female college cross-country runners is approximately normal with mean 122 pounds and standard deviation 8 pounds. Which of the following is closest to the percent of the runners who weigh between 1 14 pounds and 138 pounds?


The number of books in a library increased by 30\% from 2002 to 2014. There were x books in the library in 2002. Which expression represents the number of books in the library in 2014 in terms of x?


An arrow is shot from the roof of a building 30 meters high at 5 m/s and at an angle of 45 degrees. How fast will the arrow be going when it hits the ground?

I have submitted my answer in the google form.

I haven\textquotesingle t submitted.


Brian and Charles had some stickers. At first, the number of stickers Brian had was $$\frac{4}{7}$$ of the total number of stickers. Then, Brian sold $$\frac{3}{8}$$ of his stickers. Find the ratio of the number of stickers Brian had at the end to the number of stickers Charles had at the end.

Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions


Express $$0.05$$ as a fraction in its simplest form.

Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Basic Understanding of Decimals


At Frank\textquotesingle s Fruit Market, $$3$$ bananas cost as much as $$1$$ apple, and $$6$$ apples cost as much as $$4$$ oranges. How many oranges cost as much as $$18$$ bananas?


13. For a sample of 42 rabbits, the mean weight is 5 pounds and the standard deviation of weights is 3 pounds. Which of the following is most likely true about the weights for the rabbits in this sample?

The distribution of weights is approximately normal because the sample size is 42, and therefore the central limit theorem applies.

The distribution of weights is approximately normal because the standard deviation is less than the mean.

The distribution of weights is skewed to the right because the least possible weight is within 2 standard deviations of the mean.

The distribution of weights is skewed to the left because the least possible weight is within 2 standard deviations of the mean.

The distribution of weights has a median that is greater than the mean.


We can represent atoms by listing the number of protons, neutrons, and electrons---for example, 2p\textsuperscript{+}, 2n\textsuperscript{0} , 2e\textsuperscript{-} for helium. Which of the following represents the \textsuperscript{18}O isotope of oxygen, given oxygen has an atomic number of 8?

7p\textsuperscript{+}, 2n\textsuperscript{0} , 9e\textsuperscript{-}

8p\textsuperscript{+}, 10n\textsuperscript{0} , 8e\textsuperscript{-}

9p\textsuperscript{+}, 9n\textsuperscript{0} , 9e\textsuperscript{-}

10p\textsuperscript{+}, 8n\textsuperscript{0} , 9e\textsuperscript{-}


Which of the following algebraic expressions is written correctly?

$a\times b+c$


A packet of biscuits costs $$x$$ pence.  I buy $$6$$ packets.  Which expression shows how much change I will get from £$$5$$?

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Using a Letter to Represent an Unknown Number


A ball with a mass of 0.15 kg has a velocity of 5 m/s. It strikes a wall perpendicularly and bounces off straight back with a velocity of 3 m/s. The ball underwent a change in momentum equal to

0.30 kg·m/s

1.20 kg·m/s

0.15 kg·m/s

5 kg·m/s


What is the value of this expression: $$2\times0\times0\times6+2006$$?

Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations


A police officer is using a radar device to check motorists\textquotesingle{} speeds. Prior to beginning the speed check, the officer estimates that 40 percent of motorists will be driving more than 5 miles per hour over the speed limit. Assuming that the police officer\textquotesingle s estimate is correct, what is the probability that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit?

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables


A furlong is $220$ yards and a mile is $1760$ yards. How many miles are 12 furlongs?

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Length


If a geometric sequence $$\textbackslash{a\_n\textbackslash}$$ $$n\geqslant1$$ satisfies the condition $$a\_{2003}\textless a\_{2002}\textless a\_{2004}$$ then:

$$a\_{2003}\cdot a\_{2004}\textgreater0$$

$$a\_{2002}\cdot a\_{2003}\textless0$$

$$a\_{2002}\cdot a\_{2004}\textless0$$

$$a\_{2002}\cdot a\_{2003}\textgreater0$$

Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Geometric Sequences->Whole-number Geometric Sequences


Teacher Peter writes a long expression $10-9+8-7+6-5+4-3+2-1$. Four kids rewrite the expression in another way. Who is correct?

Ben: $10+9+8+7+6-5-4-3-2-1$

Bill: $1-2+3-4+5-6+7-8+9-10$

Julie: $2+4+6+8+10-1-3-5-7-9$

Judy: $1+3+5+7+9-2-4-6-8-10$

None of them is correct.


How many millimetres are there in a metre?


Which of the following is equivalent to $16^{}\frac{3}{4}$ ?  $\textasciitilde$


Sam travelled $$\rm 2400 m$$ from his home to the school.  Which of the following is equal to this distance?

$$\rm 2km$$ $$4 m$$

$$\rm 2km$$ $$40 m$$

$$\rm 2km$$ $$400 m$$

$$\rm 20km$$ $$40 m$$

Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion

Overseas In-curriculum->Knowledge Point->Measurement->Length->Knowing International Length Units->Conversion of Length Units


Calculate the approximate size of the DWL in this market due to the monopoly

Not enough information

Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation


What is nine million, ninety thousand and nineteen in numeral?

Overseas In-curriculum->Knowledge Point->Knowing Numbers->Whole Numbers->Knowing Numbers Beyond 10000->Reading and Writing Large Numbers

Overseas Competition->Knowledge Point->Calculation Modules


Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?


Which of the following commonly used conversion factors cannot be used to convert length units?


$a$ is $25\textbackslash\%$ more than $3600$, and b is $20\textbackslash\%$ less than $a$. What is the value of $b$?


\times /\div


Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Calculation of Multi-digit Numbers