dataset_version timestamp[s] | queId stringlengths 32 32 | difficulty stringclasses 5
values | qtype stringclasses 1
value | problem stringlengths 6 2.89k | knowledge_point_routes list |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | a0a9b4817586473ab82958503266de20 | 1 | short_answer | $$82+5135+109$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 7e59f3d16bb944d0af7260fa7a6a1a05 | 2 | short_answer | Calculate $${{2}^{2}}+{{5}^{2}}+{{8}^{2}}+{{11}^{2}}+\cdots +{{29}^{2}}+{{32}^{2}}$$． | [
"Overseas Competition->Knowledge Point->Number Theory Modules"
] |
2023-07-07T00:00:00 | 0d83a44b34bd44cba27a54d4aa0c0f8b | 1 | short_answer | Find the remainder of $$\frac{{{2}^{2019}}}{{{4}^{982}}-{{2}^{1963}}}$$divided by $$5$$． | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->The Relationship between Exponents and the Number of Factors"
] |
2023-07-07T00:00:00 | 62900d76501a411095425c90066b6baa | 0 | short_answer | Originally, there were equal number of tables and chairs in a shop. After selling away $$42$$ tables and bringing in $$24$$ chairs, the number of chairs will be $$4$$ times as many as tables. How many chairs were there in the shop originally? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 501f99ad661542b685b7602cc769d419 | 1 | short_answer | Find $$35 \%$$ of £$$700$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 1f92ac5fcbf346a58c902a4e56d63b9f | 1 | short_answer | The storage room of a school has a row of cabinets. There are $$4$$ cabinets to the left of Candy\textquotesingle{} s cabinet. There are $$7$$ cabinets to the right of Candy\textquotesingle{} s cabinet. How many cabinets are there in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Total Number According to the Position of one Character in a Line"
] |
2023-07-07T00:00:00 | d0df4689449e49dbaa0b915c5b1e0d16 | 1 | short_answer | Work out: $$1914\div6$$ Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 72e9171f682743098c4b8fec888c8a50 | 1 | short_answer | The bookstore bought $$455$$ books on the first day and $$198$$ books on the second day. How many books did the bookstore buy in two days? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 1a265e25f6874c5db75962c369ac17bc | 1 | short_answer | How many $$3$$-digit even numbers are there such that the sum of the digits is $$7$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | 71839d8b337447be8093660f325bbed7 | 2 | short_answer | A $$4$$-digit number $$\overline{106Y}$$ is divisible by $$18$$. Find the value of $$Y$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | b5bf6927be4b4a3087a39281607f3658 | 0 | short_answer | Breet buys $$15$$ pieces of cookies from the bakery. His friend feels hungry and he eats $$6$$ pieces of cookies. Now how many pieces of cookies does Breet have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | d75c9444af574fdf91925c609d2dc5d8 | 0 | short_answer | Mrs Smith orders $$8$$ boxes of glue sticks for each class. If there are $$5$$ classes, how many boxes of glue sticks has she ordered altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | b61bf81e98dd4cc3b300767de6effa6e | 0 | short_answer | The last two digits of a four-digit number $49\square \square$ are unknown. If this number is divisible by $2$, $3$ and $5$, find the largest possible value that the four-digit number can be. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 0c07d3cceff140638bcc02cfd4b815c0 | 1 | short_answer | Some motorcycles with $2$ wheels, cars with $4$ wheels and lorries with $6$ wheels are in a car park. There\textquotesingle s a total of $$27$$ vehicles and $$96$$ wheels. The number of cars is equal to the number of lorries. Find the number of cars in the car park. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 4950b20e3ff347308b65c01922e1ecd1 | 2 | short_answer | Calculate: $$\frac{1^{3}+2^{3}+3^{3}+\cdots+100^{3}}{1+2+3+\cdots+100}$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas->1³+2³+3³+......+n³=(1+2+3+......+n)²"
] |
2023-07-07T00:00:00 | 64edc5874141435dbc97c986f5c8c721 | 1 | short_answer | A jar with $5$~chocolates in it has mass $185\text{g}$ and the same jar with $17$ chocolates in it has mass $317\text{g}$. What is the mass of the jar with~$10$ chocolates in it? Answer:~\uline{~~~~~~~~~~}~$\text{g}$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Writing down the Expression according to the Description "
] |
2023-07-07T00:00:00 | 7c6943752cfb4c10ba5d271cbd98b7f5 | 1 | short_answer | Ana is $116\text{cm}$~taller than Olaf. Kristoff is five and a half time the height of Olaf. Ana is $150\text{cm}$. How much taller is Kristoff than Ana? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple->Difference and Multiples of Multiple Variables"
] |
2023-07-07T00:00:00 | 5f82ecd1f2614283b498976475a87d7c | 2 | short_answer | \textbf{Propotion} John bought $\dfrac{4}{5}$~as many pears as apples and $\dfrac{2}{5}$~as many mangoes as apples. She paid a total of $150 for all the fruits. The ratio of the amount of money she spent on the apples to the amount she spent on the pears was 3:2. The ratio of the amount of money she spent on the pea... | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | 825b09d6a8a7435181cbe8f03a8719e8 | 1 | short_answer | Work out $$113-29$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | 67726d4c5f1c43f99ab8c34d4c1d1255 | 1 | short_answer | Sally made $$700\text{g}$$ of sugar solution with a concentration of $$32 \%$$ by mixing some sugar and water. How much water did she use (in grams)? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 9e5d33c0a5ac43408701c0c051cab6e9 | 1 | short_answer | A seven-digit number $1992\square\square\square$ is divisible by $2$, $3$, $5$ and $11$. What is the smallest possible value of the number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | ccf4b3c1375049a0a9b0d364cd87dedb | 1 | short_answer | Subtract~$\dfrac{1}{10}$ from $3.05$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Addition and Subtraction of Fractions"
] |
2023-07-07T00:00:00 | ca40261e554e488db8f2110589404752 | 1 | short_answer | $$21$$ trees are to be planted along a road $$800$$ $$\text{m}$$ long at regular intervals. If both ends of the road are planted with trees as well, how far is one tree from another? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Straight Line Type with Objects on Both Sides"
] |
2023-07-07T00:00:00 | 41cb580f803a4484aa9de2340f620cd5 | 1 | short_answer | What is $132 \div 11$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | bee2bb31e9cc4bfd97c140eb2cd7ca84 | 1 | short_answer | In three years from now, Hazel will be $$9$$ years old. Jessica is $$3$$ years younger than Hazel. What will be their total age next year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | b5e2b7a8198347d0b928d1181cc5ab24 | 2 | short_answer | Red Star Primary School saved a total of $$366$$ kWh of electricity in the first half of the year, and an average of $$65$$ kWh per month in the second half og of the year. How much electricity was saved on average per minth last year? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | e20396c1126c4c378303deff5dbb8965 | 1 | short_answer | In how many ways can the letters in the word \textquotesingle ELEMENT\textquotesingle{} be arranged? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | d09c9b0c4c064e1d91b4be6e28603df8 | 2 | short_answer | $$4+5+\cdots +10+11=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences"
] |
2023-07-07T00:00:00 | 2f7331548e4c4ead9882750734e9dcb3 | 2 | short_answer | Find the greatest common factor of $4811$ and $1981$ using the Euclidean Algorithm. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 56e4e8204ffd46788f19f0fb559476b9 | 1 | short_answer | Avril\textquotesingle s average score on six assignments is $92$. Given that the average score of her first five assignments is $94$, what is Avril\textquotesingle s average score on the sixth assignment? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | 60a921961e274ba6b7944a53c0a16d35 | 2 | short_answer | A shop purchased some shoes at $$ $65$$ per pair. It then sold them at $$ $74$$ per pair. The shopkeeper calculated that the profit earned was $$ $440$$ when there were $$5$$ pairs of shoes left. How many pairs of shoes did the shop purchase initially? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | c3537d94f9474c1681dd753250a4e937 | 1 | short_answer | Peter went to watch a musical. At $$\rm 5.30$$ p.m., he was halfway through the musical. The musical ended at $$7.15$$ p.m. What time did the musical start? | [
"Overseas In-curriculum->Knowledge Point->Measurement->Time->Time Calculation",
"Overseas Competition->Knowledge Point->Combinatorics->Time Problem"
] |
2023-07-07T00:00:00 | bf8d648694e046798009b3bcb8b11a51 | 1 | short_answer | There are some cars in the car park. 8 more cars enter the car park. Then 10 cars exit the car park. Now there are 30 cars in the car park. How many cars are there at the beginning? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | f0661ff980b543b2890c0b2cd9ed594d | 1 | short_answer | I am thinking of a number that when I multiply it by two and divide the result by four, then multiply the result of that by itself, gives me a number that when I subtract four and divide by ten, gives me six. What is the number that I originally thought of? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 91f1dc30074b4cc5ba3de816f8ebe024 | 2 | short_answer | It needs $59$ liters of water to fill up a pool. The pipe can fill up to $$10$$ liters of water every day into the pool, but the pool leaks $$3$$ liters of water every night. Today, the pipe fills up $3$ liters of water into the pool and it is filled up for the first time. How many days have passed from the first day? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | ea2b0754dbd44371b1caf18c22c52d19 | 0 | short_answer | Work out $$1234-566$$ ANSWER~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 33baf7cac5884fbc952fe20bd5c8b056 | 1 | short_answer | A machine can produce $$27$$ toys in $$5$$ minutes. How many toys can it produce in $$20$$ minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 9921f066d3b9491bb6209aef0e315efb | 1 | short_answer | Amy visits the dentist once every $24$ days. Ginny visits the dentist every $36$ days. If they visited the dentist together today, how many days later will they visit the dentist together? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Extracting Common Factors from Whole Numbers"
] |
2023-07-07T00:00:00 | 2d3e8ce232944b0da4446730b18adc15 | 2 | short_answer | （AMC 2020 Question \#30） Writing one digit every second, you have half an hour to list as many of the counting numbers as you can, starting 1, 2, 3, \ldots{} . At the end of half an hour, what number have you just finished writing? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | c71b3187758541f2a9be1885e9788daf | 1 | short_answer | What is the difference between the smallest and largest of the following amounts? $$\dfrac{1}{2}$$ of $$30$$, $$\dfrac{1}{3}$$ of $$36$$, $$\dfrac{1}{4}$$ of $$40$$, $$\dfrac{1}{5}$$ of $$60$$, $$\dfrac{1}{6}$$ of $$96$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | 2526a9251202448c82ca74dc1af18fd8 | 1 | short_answer | Kit played computer games for $225$ minutes. When he stopped gaming and decided to head to sleep, he checked the time and noticed that it was $11.20\text{p.m.}$ What time did he start playing computer games? Write your answer in the $12-$hour clock.~\uline{~~~~~~~~~~}~ | [
"Overseas In-curriculum->Knowledge Point->Measurement->Time->Time Calculation",
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 4b4550a7fb5a4da1879ab82345527afa | 1 | short_answer | There are $5$ blue, $8$ green, $9$ white and $2$ black marbles in a box. At least how many marbles must Darrell draw before he gets the first green one? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle->Worst Case in Pigeonhole Principle Problems",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 63ccfd7c8f7948138140e37b2a8721c9 | 1 | short_answer | $$20$$ school teams took part in the West Zone Table Tennis Tournament. Each team was to play exactly $$1$$ match with another team. How many matches were played altogether? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | d325179a1a7c406b95abe95c9433bf65 | 0 | short_answer | A machine can produce $$27$$ toys in $$3$$ minutes. How many toys can it produce in $$1$$ minute? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 1a9163a8cb424cb9a9accd781412b79a | 2 | short_answer | A snail wants to climb out of a 20-metre well. It climbs up 6 metres during the day and slides down certain metres during the night. The snail climbs up only 2 metres out on the 7th day. How high does the snail slide down during the night? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 32e0c31f837f484dbc8307ce7ebbf9f6 | 1 | short_answer | On a vast grassland, lives $32$ rabbits. Rabbits eat grass and give birth to baby rabbits. Each year, there are $3$ times as many rabbits as last year. On the other hand, half of the rabbits\textquotesingle{} total population dies every year. How many rabbits will there be after $3$ years? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Power->Computing Powers->Exponentiation of Powers"
] |
2023-07-07T00:00:00 | e45c3400530944688f0b7c15612c3f65 | 1 | short_answer | Ivy\textquotesingle s house and Candy\textquotesingle s house are $$1200$$ meters apart. They wanted to meet with each other. Ivy left her own house first, and Candy left her own house after $$6$$ minutes. After another $$12$$ minutes, they met each other. Given that Ivy walked $$20$$ more meters per minute than Candy,... | [
"Overseas Competition->Knowledge Point->Word Problem Modules",
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road"
] |
2023-07-07T00:00:00 | 00b3826fde0d4426bbae01c933f41959 | 1 | short_answer | There are $$8$$ players participating in a Ping-Pong tournament using single round-robin rules, and each of the players records different number of wins. How many wins does the champion have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | 7a85e45de1cf4eefac785ffc876e2419 | 1 | short_answer | In $$2$$ hours, Minah can make $$24$$ curry puffs. At this rate, how many hours will she take to make $$120$$ curry puffs? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 407e3d4abdd84948b11417cc857b3a6f | 1 | short_answer | A $$6$$ $$\rm mg$$ metal containing $$45 \%$$ nickel was combined with a $$14$$ $$\rm mg$$ metal containing $$60 \% $$ nickel. Find the percent concentration of nickel in the new metal. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Concentration Problems->Basic Concentration Problems"
] |
2023-07-07T00:00:00 | 17b260645d6a414ab42dd5105d17a7a0 | 1 | short_answer | Given that the sum of four positive integers is $$13$$ (the numbers can be the same), find the largest possible product of the four numbers. | [
"Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value with Fixed Sums",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 0b323f74ff2440bd99945e7df07c7d9e | 3 | short_answer | Edward is 8 years old. His mother is 32 years old. In how many years will his mother be 3 times as old as Edward?（⭐⭐⭐⭐） | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 9931681699674c94a55cbd91e9fef93d | 1 | short_answer | James draws a plan of his school using a scale of $$1\text{cm}$$ to $$6\text{m}$$. On the plan the playground is $$5\text{cm}$$ long. What is the real length of the playground? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | a3f71bfa7bda47abb06c88dc5fe9c667 | 2 | short_answer | A $$2$$-digit number has a remainder of $$1$$ when it is divided by $$3$$. It also has a remainder of $$1$$ when it is divided by $$5$$. What is the smallest possible $$2$$-digit number? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Questions involving Divisions with Remainders"
] |
2023-07-07T00:00:00 | 844dc49550ce457b94476fbbf9b26070 | 1 | short_answer | What is~$\dfrac{3}{5}$ of $35$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Multiplication of Fractions"
] |
2023-07-07T00:00:00 | f824d5ccf33349d2ab0f1608091dea39 | 2 | short_answer | Students from a school line up and form a square array, and there is a surplus of $11$ students. If one row and one column are added to form a larger square array, $12$ more students are needed. Find the number of students. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Squares->Solid Squares"
] |
2023-07-07T00:00:00 | 7fc9064a1aa5469aa93c3e1bbde4bbee | 3 | short_answer | A box of cookies cost $$$6$$. How many boxes could be bought with $$$250$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | dc7f0a68b9f24779bc4219332172235f | 1 | short_answer | What is the missing number in the following sum. $$4060800=4000000+\cdots \cdots +800$$ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value->Regrouping based on Place Value Principle"
] |
2023-07-07T00:00:00 | 82a289b59d824994b394d0497a34059a | 1 | short_answer | A group of students go to apple-picking. On average, each boy picks $30$ apples and each girl picks $20$ apples. The average number of apples picked by everyone in this groups is $26$. If there are $15$ boys, then how many girls are there in the group? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems "
] |
2023-07-07T00:00:00 | ba3fa896136240449736cb46b7e3fc42 | 1 | short_answer | Amy bought a pen and a pencil, which costed her $4.5$ dollars. A pencil is $0.5$ dollars cheaper than a pen. What is the price of a pen? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 75141a0eda0b4ee188fda622dacab4d8 | 1 | short_answer | Tank A has $673$ ℓ of oil. If there is $56$ ℓ less oil in Tank A than in Tank B, how much oil does Tank B have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | e5322713de5247778392f797381187c3 | 1 | short_answer | A school bought $$12$$ volleyballs and basketballs for ＄$$340$$. Each basketball cost ＄$$30$$. Each volleyball cost ＄$$25$$. How many basketballs did the school buy? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis"
] |
2023-07-07T00:00:00 | 12650053179d4354abc37f8acdc2f5cc | 2 | short_answer | Mr Rich decided to share his wealth among his children. Richie as the oldest got $$\frac{1}{3}$$, Thrifty the second oldest got $$\frac{1}{2}$$ of what was left, Bounty got $$\frac{2}{5}$$ of what was left once Richie and Thrifty got their share. Archie got the rest. If Mr Rich shared £$15$ million pounds, how much did... | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 78ccf674710b4fe69a75eac5a5e851fe | 1 | short_answer | The cost of $8$ identical books is £$32$. What is the cost of $12$ books? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | 49f01b25ab6d4b69801d88a94adc488b | 1 | short_answer | Candies were sold in containers containing $3$ flavours: strawberry, chocolate and mint. The amount of mint candies to chocolate candies always stayed the same. The fraction of strawberry candies in $3$ different sized containers were $\frac{2}{5}$, $\frac{2}{7}$ and $\frac{2}{9}$. Given that the amount of mint candies... | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | 548479b1b79a4bb28ce823621c5abeeb | 1 | short_answer | Judy had $$36$$ pieces of candy. She gave $$\dfrac{3}{4}$$ of the candy to her friend, Lily. Then, she gave $$\dfrac{1}{3}$$ of the remaining part to her brother. How many pieces of candy does she have now? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 033994c93a6b45b089e9faa4e06774ed | 2 | short_answer | Evaluate $$\frac{1}{2}+\frac{1}{3}+\frac{2}{3}+\frac{1}{4}+\frac{2}{4}+\frac{3}{4}+\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}+\ldots +\frac{1}{60}+\frac{2}{60}+\ldots +\frac{59}{60}$$. Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fdb38dfc8f624402a53c64aee38c936c | 3 | short_answer | Roy and Dennis shared a sum of money totaling $$$340$$. After Roy spent~$\tfrac{2}{3}$~of his money and Dennis spent~$\tfrac{1}{4}$~of his money, Dennis had twice as much money left as Roy. Find the amount of money Dennis had in the end. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | ba33391702c54eddadac0a6dea3e8f20 | 1 | short_answer | Solve： $$5x+1=16$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable->Equations with Whole Number Coefficient"
] |
2023-07-07T00:00:00 | e41fa665820a4926b055fb0c8e503a19 | 1 | short_answer | $$427 \div 7 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 5084bbc7b89c41b5bf2edb1303aac223 | 0 | short_answer | Mr Lee sold $$27$$ more curry puffs on Saturday than on Friday. He sold $$14$$ fewer curry puffs on Sunday than on Friday. If Mr Lee sold $$475$$ curry puffs in these $$3$$ days, how many curry puffs did he sell on Friday? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 6a7f195d4df34990a4361a1279619703 | 1 | short_answer | $$300$$ digits are used to print the page numbers of a book. What is the last page number of the book? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem->Correspondence of Specified Numbers and Page Numbers"
] |
2023-07-07T00:00:00 | 5c220b4fa8654c3a8555329850f8525d | 1 | short_answer | Calculate $675 \div 25$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 29250105e9c04c48bd1439676ca2782d | 0 | short_answer | A school paid ＄$$235.60$$ for $$8$$ similar balls and $$6$$ similar hula hoops. Each ball cost ＄$$20.45$$. What is the cost of each hula hoop? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 93cbd8cff1724a0288df495bf1bf1129 | 2 | short_answer | Find the smallest whole number such that the product of $$693$$ and the number is a perfect square. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers->Basic Applications of Square Numbers"
] |
2023-07-07T00:00:00 | 2294a90b377245e5a243e024c10b9e33 | 1 | short_answer | Find the unit digit of $$13^{242}+17^{379}\times4^{2012}$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Applying the Properties of Dividing without Remainders->Maximum/Minimum Problems of Division without Remainders "
] |
2023-07-07T00:00:00 | 52d042e76d354b68ac3284571d64fe18 | 1 | short_answer | Calculate: $-12 - 5 =$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
2023-07-07T00:00:00 | f92015fcf25b4f6b8a4c6c33740e86b0 | 1 | short_answer | Janice\textquotesingle s mother bought $$8$$ cartons of orange juice. Each carton contained $$3$$ ℓ of orange juice. After drinking $$9$$ ℓ of the juice, Janice\textquotesingle s mother wants to pour the remaining juice into container that has a volume of $$5$$ ℓ each. How many container does she need? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | efc1886d8b6e41288f275b25df4f1970 | 1 | short_answer | Find the value of $$A$$ in the following equation. $$2+\frac{1}{2+\dfrac{1}{1+\dfrac{1}{2+\dfrac{1}{A}}}}=\frac{64}{27}$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 615a06562ee54cbf883a97926cfa289a | 3 | short_answer | Marry had $\frac{7}{5}$ as many stickers as Alexis.~Marry and Alexis each gave $20 \%$ of their stickers to Charlotte. As a result, Charlotte\textquotesingle s stickers increased by $80 \%$. If Mary had $20$ stickers more than Charlotte in the end, how many stickers did Alexis have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | d56e2d0f4d3c49c09a9d9d2fae148065 | 1 | short_answer | Vani wants to buy $3\dfrac{1}{2}\text{kg}$~of steak costing £$7.50$ a kilogram. She only has a £$20$ note. How much more money does she need to buy the steak? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Simple Multiplication Applications",
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Four Operations of Fractions and Decimals"
] |
2023-07-07T00:00:00 | 298f22aae19b448d8ed281fe1ffd1c6a | 1 | short_answer | Eddie was queuing for lunch. There were $$22$$ people in the queue. He was $${{12}^{\text{th}}}$$ in the queue. In which position was he from the end of the queue? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Problems Involving Queuing->Finding the Order of one Character"
] |
2023-07-07T00:00:00 | 73173ea4753941c1aebae06530689d79 | 1 | short_answer | Work out $498 + 349$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | f1a8a109f87844d5bb0f0d3f4dd4d789 | 2 | short_answer | A sports shop has 6 light bowling balls and 6 heavy bowling balls. The mass of a heavy bowling ball is twice that of a light bowling ball. The total mass of the 12 bowling balls is 65.7 kg. Find the mass of a light bowling ball to the nearest kg. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics"
] |
2023-07-07T00:00:00 | 866c8e678e0948b59e1d7291359716df | 1 | short_answer | Benson and Clive had a total of ＄$$705$$. Benson bought a calculator for ＄$$34$$. Clive bought a badminton racket for ＄$$63$$. They then had the same amount of money left. How much did Clive have at first? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 099b78e49bc4404ba303b17fc521c8a1 | 1 | short_answer | $$6.5 + 2.55 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Addition and Subtraction of Decimals->Addition of Decimals"
] |
2023-07-07T00:00:00 | a3b2b317382c413b950d13170728af7c | 0 | short_answer | If a number is read the same either from left to right or from right to left, such number is called a "palindromic number", such as $$1441$$，$$2222$$，$$2442$$，$$8998$$ and $$3553$$. Find the number of four-digit palindromic numbers. | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 07cef45a5cd34546b160beb5d63ff929 | 1 | short_answer | Jenny's scores on her spelling tests are $8, 14, 11, 9, 12$ and $9$. What is her average? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | d9fe69458a16475bb892b329f85a2176 | 1 | short_answer | The average of $A$ and $B$ is $50$. The average of $B$ and $C$ is $43$. The average of $A$ and $C$ is $45$. Find the average of $A$, $B$ and $C$. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)",
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | 1c2eb2be878c46f9abd8fe0eebfe90e0 | 1 | short_answer | There are $42$ sweets in Container A and $4$ times as many sweets in Container B as Container A. Given that there are twice as many sweets in Container C as Container B, how many sweets are there in Container C? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems Involving Sum and Difference"
] |
2023-07-07T00:00:00 | 0463082fb7794b94ba6e248f5672f584 | 1 | short_answer | （$$2017$$ Anglo-Chinese School (Junior), Semestral Assessment $$1$$, Primary Three, Question \#$15$） Jay has $6$ times as many pens as Denise. They have $126$ pens altogether. How many pens does Denise have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Sum and Multiple"
] |
2023-07-07T00:00:00 | a81399939c8c430caa4f5477791e6872 | 1 | short_answer | Calculate $3192 \div 7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 1f147f03ccef4ae3a50a01ccda70772f | 1 | short_answer | $$18 -- 4 \times ~2 + 3 =$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | 0e1222f712bc4ffca972c05b2effd15b | 1 | short_answer | In a grocery store, $$5$$ chocolate bars cost $$ $1.26$$ each. Their total cost is the same as the total cost of $$6$$ identical cookies that are equally priced. If I had $$ $9.05$$ at first, and I bought $$4$$ such cookies, how much money would I have left? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 040686faef95411e8585542ead1f8966 | 1 | short_answer | In Think Sports Day, there were $$250$$ balls distributed to some children. Every $$3$$ boys shared one ball while every $$2$$ girls shared one ball. If there were $$650$$ children, how many of them were girls? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | d48e695fe4c940b2acce011d716fb7cb | 1 | short_answer | There were some students in Think Classroom. When the school bell rang, $$25$$ girls went outside to play hopscotch. The number of girls in the classroom became $$\frac{2}{3}$$ of the number of boys. After that, $$15$$ boys went to play soccer at the field. There is now an equal number of boys and girls inside Think Cl... | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | a36e566f98e442f5842ab9407dee385e | 1 | short_answer | How many even three-digit numbers are there where the digits add up to 8? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | adcc0ea38c5c483abfaedf299c74cb3f | 1 | short_answer | Janet has some $$10$$-cent and $$50$$-cent coins in the ratio $$8:3$$. The total value of all the coins is ＄$$75.90$$. Find the total value of the $$50$$-cent coins Janet has. | [
"Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle"
] |
2023-07-07T00:00:00 | d9c3ed810a164a26992ebd764b6a4339 | 1 | short_answer | What number goes in the box? $8\times11=\boxed{ \overset{ }{\overset{ }{ }}}\times9+34$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Mixed Operations"
] |
2023-07-07T00:00:00 | b623a87ccea1499fb63634242cab4656 | 1 | short_answer | The temperature in Moscow at midday is $8^{\circ}\text{C}$. At midnight the temperature is $12^{\circ}\text{C}$~lower. What is the temperature at midnight? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Negative Numbers->Operations on Negative numbers"
] |
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