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Aarav cleans 6 apartments in 2.5 hours. If Aarav cleans 30 apartments at this same rate,
|
how long will it take him?
|
Ratio
|
12.5 (hours)
|
2.5:6=12.5:30
|
If you have 1 ten dollar bill, 1 quarter and 1 nickel,
|
how much money do you have?
|
UnitTrans
|
10.3 (dollars)
|
(1*10 (dollar) *100 (cent/dollar) + 1 (quarter) *25 (cent/quarter) + 1 (nickel)*5 (cent/nickel))/100 (cent/dollar) = 10.30 (dollar)
|
A man bought a cow and a calf for $990, paying 8 times as much for the cow as for the calf.
|
What was the cost of each?
|
Algebra-2
|
110 (dollars); 880 (dollars)
|
x:The cost of the cow; y:The cost of the calf; x+y=990; x=8y
|
Roger is at the library helping put away books. There are fifty-four book to put away total but a librarian takes nineteen of them and leaves Roger with the rest. If he can fit five books on a shelf,
|
how many shelves will he need?
|
Common-Division
|
7 (shelves)
|
(54-19)/5=7
|
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball went into the hole. Martin was standing 79 meters from the hole as he took his second stroke.
|
How many kilometers from the hole was Martin when he started?
|
Multiplication
|
0.395 (kilometers)
|
79 (m)*5 = 395 (m); 395/1000 (m/km) = 0.395 (km)
|
Payton leaves to go on an 85 minute bike ride at 3:27 p.m. Payton's family eats dinner at 5:45 p.m.
|
How much time will Payton have between finishing her bike ride and eating dinner?
|
Subtraction
|
53 (minutes)
|
3*60 (min/hour) + 27 (min) = 207 (min); 207 (min) + 85 (min) = 292 (min); (5*60 (min/hour) + 45 (min)) - 292 (min) = 53 (min)
|
A vet was weighing 3 cats. The first weighed 2 pounds. The second weighed 7 pounds and the last weighed 4 pounds.
|
What is their combined weight?
|
Sum
|
13 (pounds)
|
2+7+4=13
|
Michael has some fish in his fish tank. Ben gave him 18 more fish. Now he has 49.
|
How many fish did he have to begin with?
|
Subtraction
|
31 (fish)
|
49-18=31
|
A company was offering a special on cell phones for $2 each. But only if you spent 7 dollars a month for 4 months.
|
How much would it end up costing you total if you bought 1 phone?
|
Addition
|
30 (dollars)
|
7*4+2=30
|
While heating the wings, Charlie decided to make metal supports for the wings. If he needs 635 lbs of metal and he has 276 lbs in storage,
|
how much additional metal does he need to buy?
|
Subtraction
|
359 (lbs)
|
635-276=359
|
The ratio of shoes sold to sandals sold was 9:5. If there were 72 shoes sold,
|
how many sandals were sold?
|
Ratio
|
40 (sandals)
|
9:5=72:40
|
Vincent has learned the words to 56 songs. He learned 18 more songs at summer camp.
|
How many songs does Vincent know now?
|
Addition
|
74 (songs)
|
56+18=74
|
Martha bought 18 small cakes. She has 3 children. She would like to divide the cakes among her children so that each child gets the same amount.
|
How many cakes would each child get?
|
Common-Division
|
6 (cakes)
|
18/3=6
|
The distance travelled by Ben and Tim is in the ratio 3:4. The distance travelled by Ben is 18 miles.
|
Find the distance travelled by Tim.
|
Ratio
|
24 (miles)
|
3:4=18:24
|
Josh had 142 pencils. He gave 31 pencils to Dorothy.
|
How many pencils does Josh have left?
|
Subtraction
|
111 (pencils)
|
142-31=111
|
Her friends are coming over the next day so she also bought some refreshments. If she has $50.00 left from the money she had after buying cookies, and she has $69.00 before,
|
how much did she spend on juice?
|
Subtraction
|
19 (dollars)
|
69-50=19
|
Uncle Dave bought 143 ice cream sandwiches. If he wants to give them to his 11 hungry nieces,
|
how many can each niece get?
|
Common-Division
|
13 (ice cream sandwiches)
|
143/11=13
|
Two neon signs are turned on at the same time. both signs blink as they are turned on. One sign blinks every 9 seconds. The other sign blinks every 15 seconds.
|
In how many seconds will they blink together again?
|
LCM
|
45 (seconds)
|
LCM[9,15]=45
|
At the top of the Empire State Building, he saw the Madison Square Garden so he decided to go there as well. It took him 676 steps to get down the building and 315 steps from the building to Madison Square Garden.
|
How many steps did he take to get to Madison Square?
|
Addition
|
991 (steps)
|
676+315=991
|
The weight of 2 bags of chips is 800 g. The total weight of 5 such bags of chips and 4 bottles of juice is 2 kg 200 g.
|
How much heavier is a bag of chips than a bottle of juice?
|
Subtraction
|
350 (g)
|
(800/2)-((2200-(800/2)*5)/4)=350
|
Paige had 2 pencils in her desk, 2 in her backpack and 15 at home.
|
How many pencils does Paige have?
|
Sum
|
19 (pencils)
|
2+2+15=19
|
One of his favorites is a book called Encyclopedia of Life and Everything Else. The book has 7 large chapters, each having 566 pages.
|
How many pages does the encyclopedia have in total?
|
Multiplication
|
3962 (pages)
|
7*566=3962
|
Sarah bought 8 new shirts for school. If she already had 9 shirts,
|
how many did she own total?
|
Addition
|
17 (new shirts)
|
8+9=17
|
A restaurant needs to buy three hundred eighty-seven new plates. If each box has five plates in it,
|
how many boxes will they need to buy?
|
Ceil-Division
|
78 (boxes)
|
387/5=77 r2
|
Maria had twenty-five pieces of gum. Tommy gave her sixteen more pieces. Luis gave her twenty more pieces.
|
How many pieces of gum does Maria have now?
|
Sum
|
61 (pieces of gum)
|
25+16+20=61
|
Some oranges were in the basket. Five oranges were taken from the basket. Now there are three oranges.
|
How many oranges were in the basket before some of the oranges were taken?
|
Addition
|
8 (oranges)
|
5+3=8
|
It takes 4 ounces of cheese to make a burrito and 9 ounces for a taco. If you wanted 7 burritos and 1 taco,
|
how many ounces of cheese would you need?
|
Addition
|
37 (ounces of cheese)
|
(7*4)+(1*9)=37
|
Rebecca wants to split a collection of eggs into groups of 2. Rebecca has 16 eggs and 3 marbles.
|
How many groups will be created?
|
Common-Division
|
8 (groups)
|
16/2=8
|
He also had 8 aquariums for saltwater animals. Each aquarium has 64 animals in it.
|
How many saltwater animals does Tyler have?
|
Multiplication
|
512 (saltwater animals)
|
8*64=512
|
Mikey had 356 leaves. Some of her leaves blew away. Now she has 112 leaves left.
|
How many of her leaves blew away?
|
Subtraction
|
244 (leaves)
|
356-112=244
|
Fabric is sold in stores from bolts that are 45 or 60 inches wide.
|
What is the width of the widest strips of fabric you can cut from either bolt without wasting any of the fabric if each strip has the same width?
|
GCD
|
15 (inches)
|
GCD(45,60)=15
|
He also has a section filled with short story booklets. If each booklet has 9 pages and there are 49 booklets in the short story section,
|
how many pages will Jack need to go through if he plans to read them all?
|
Multiplication
|
441 (pages)
|
9*49=441
|
Maria stored ninety-three cloves of garlic in the kitchen. She used eighty-six for roast chicken for dinner.
|
How many cloves of garlic does she have left?
|
Subtraction
|
7 (cloves)
|
93-86=7
|
The school is planning a field trip. The school has 11 classrooms. There are 100 students in the school and 20 seats on each school bus.
|
How many buses are needed to take the trip?
|
Common-Division
|
5 (buses)
|
100/20=5
|
Dave was organizing his baseball cards in a binder with eight on each page. If he had three new cards and thirteen old cards to put in the binder,
|
how many pages would he use?
|
Common-Division
|
2 (pages)
|
(3+13)/8=2
|
In an isosceles triangle, the base angles are equal. The vertex angle is twice either base angle.
|
What are the angles of the triangle?
|
Geometry
|
45 (degrees); 45 (degrees); 90 (degrees)
|
2x+x+x=180
|
If the cave is 974 feet deep and they are already at 588 feet,
|
how much farther until they reach the end of the cave?
|
Subtraction
|
386 (feet)
|
974-588=386
|
Matthew had 27 crackers. If Matthew gave equal numbers of crackers to his 9 friends,
|
how many crackers did each person eat?
|
Common-Division
|
3 (crackers)
|
27/9=3
|
Our class got fifty-four books from the library. Then we got twenty-three more books from the library.
|
How many books did our class get from the library?
|
Addition
|
77 (books)
|
54+23=77
|
Tina had a large collection of beanie babies. She gave 8 beanie babies to her cousin. She gave half that amount to her sister. She gave 36 beanie babies to needy children. She kept 12 for herself.
|
How many beanie babies were in Tina's collection at first?
|
Sum
|
60 (beanie babies)
|
8/2=4; 8+4+36+12=60
|
Kathleen is a dental sales representative who wants to distribute 18 brochures and 12 pamphlets to local dental offices. She wants to deliver the same combination of brochures and pamphlets to each office, without having any materials left over.
|
What is the greatest number of dental offices Kathleen can distribute materials to?
|
GCD
|
6 (dental offices)
|
GCD(18,12)=6
|
He also needed some nails. If he already has 247 nails with him and he found another 144 in his toolshed,
|
how many more nails does he need to buy if he needs a total of 500 nails?
|
Subtraction
|
109 (nails)
|
500-(247+144)=109
|
Tommy has $79. He wants to buy a $35 camera. He also wants to buy a $59 CD player.
|
How much more money does Tommy need?
|
TVQ-Change
|
15 (dollars)
|
35+59-79=15
|
Next, she went to a country full of mountains. There she saw 532 species of insects, reptiles and birds. If she saw 253 insect species and 143 bird species,
|
how many reptile species did she see?
|
Subtraction
|
136 (reptile species)
|
532-(253+143)=136
|
The base of the parallelogram is 11 inches and its area is 132 Sq. inches.
|
Find the height of the parallelogram.
|
Geometry
|
12 (inches)
|
11H=132
|
Sean has 223 whistles. He has 95 more whistles that Charles.
|
How many whistles does Charles have?
|
Subtraction
|
128 (whistles)
|
223-95=128
|
Oliver collected two seashells from the beach on Monday and two more on Tuesday.
|
How many seashells did Oliver collect all together?
|
Addition
|
4 (seashells)
|
2+2=4
|
A worm has fallen into a hole that is 26 inches deep. It climbs up 8 inches and slides back 3 inches every day.
|
How many days will it take the worm to reach the top?
|
Floor-Division
|
5 (days)
|
26/(8-3)=5 r1
|
A movie store had nine hundred ninety-nine movies they were putting on five shelves. If the owner wanted to make sure each shelf had the same number of movies,
|
how many more movies would he need?
|
Subtraction
|
1 (movie)
|
999/5=199 r4; 5-4=1
|
Two dimes and 3 pennies,
|
does the former equal the latter?
|
Comparison
|
Yes
|
2*10=20 cents > 1*3=3 cents
|
My car gets 20 miles per gallon.
|
How many miles can I drive on 5 gallons of gas?
|
Multiplication
|
100 (miles)
|
20*5=100
|
For the final touches, John wanted to paint the house using the 3 primary colors. If he has 5 liters of paint for each color,
|
how many liters of paint does he have in all?
|
Multiplication
|
15 (liters of paint)
|
3*5=15
|
Olivia picked up sixteen pieces of paper from the floor. If Edward picked up three pieces,
|
how many did they pick up total?
|
Addition
|
19 (pieces of paper)
|
16+3=19
|
The last place that he went to was the city animal shelter. There he donated some money to make sure the dogs and cats there are being taken care of. If there are 645 cats and 567 dogs there,
|
how many animals are there in the shelter?
|
Addition
|
1212 (animals)
|
645+567=1212
|
The teacher gave 29 gold stickers to the first student, 35 gold stickers to the second student, 41 gold stickers to the third student, 47 gold stickers to the fourth student, and 53 gold stickers to the fifth student. If this pattern continues,
|
how many gold stickers will the teacher give to the sixth student?
|
Sequential-Operation
|
59 (gold stickers)
|
29, 35, 41, 47, 53, 59
|
Feeling good about what he did, Mr. Anderson decided to continue giving to others. He went around the city and gave clothes to homeless people. If he gave 589 shirts and 345 trousers,
|
how many pieces of clothing did he gave out in total?
|
Addition
|
934 (pieces of clothing)
|
589+345=934
|
Sean is playing Monopoly with his friends. He already has 27 houses. Sean traded in 8 houses for money to buy Park Place. He collected so much rent that he decided to buy 12 more houses.
|
How many houses did Sean have then?
|
TVQ-Final
|
31 (houses)
|
27-8+12=31
|
Mrs. Hilt made 5 Rice Krispie Treats. She used 8 large marshmallows and 10 mini marshmallows.
|
How many marshmallows did she use altogether?
|
Addition
|
18 (marshmallows)
|
8+10=18
|
For a potluck lunch Debby brought 10 bottles of soda. If everyone only drank 8 of the sodas,
|
how many did she have to take back home?
|
Subtraction
|
2 (sodas)
|
10-8=2
|
Kevin started his science test at 2:34 p.m. and finished the test 75 minutes later. Kevin has football practice at 4:15 p.m.
|
How much time did Kevin have between the end of the test and the beginning of football practice?
|
Subtraction
|
26 (minutes)
|
2*60 (min/hour) + 34 (min) = 154 (min); 154 (min) + 75 (min) = 229 (min); (4*60 (min/hour) + 15 (min)) - 229 (min) = 26 (min)
|
A small school has 55 students. If 10 of the students are boys,
|
what is the ratio of girls to boys?
|
Ratio
|
9:2
|
55-10=45; 45:10=9:2
|
A length of wire is cut into several smaller pieces. Each of the smaller pieces are bent into squares. Each square has a side that measures 2 centimeters. The total area of the smaller squares is 92 square centimeters.
|
What was the original length of wire?
|
Geometry
|
184 (centimeters)
|
(92/(2*2))*(2*4)=184
|
John was drawing super heroes one sheet of scrap paper. He drew fifteen pictures total. If he drew nine on the back.
|
How many heroes did he draw on the front?
|
Subtraction
|
6 (heroes)
|
15-9=6
|
If books came from all the 4 continents that Bryan had been into and he collected 122 books per continent,
|
how many books does he have from all 4 continents combined?
|
Multiplication
|
488 (books)
|
4*122=488
|
Tara can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours.
|
Find her speed of rowing in still water and the speed of the current.
|
Algebra-2
|
6 (km/hour); 4 (km/hour)
|
x:Speed of rowing in still water; y:Speed of current; 20/(x+y)=2; 4/(x-y)=2
|
She wants to know how many children will go trick or treating in their village. If there are 6 children on each of the 9 blocks,
|
how many children will go trick or treating in Annie's village?
|
Multiplication
|
54 (children)
|
6*9=54
|
An aquarium had ten fish in it. Later they added three fish.
|
How many fish are in the aquarium now?
|
Addition
|
13 (fish)
|
10+3=13
|
Alex's fishing rod is 250 cm long. Jim's fishing rod is 20 cm longer than Alex's.
|
Who has the longer fishing rod?
|
Comparison
|
Jim
|
250 cm(Alex) < 250+20=270 cm(Jim)
|
A movie theater sold 9 child tickets. The other 41 tickets it sold were adult tickets.
|
What is the ratio of the number of child tickets to the number of adult tickets?
|
Ratio
|
9:41
|
9:41=9:41
|
Mr. Lee wants to load 134 tons of his fruits. A large truck can load 15 tons of fruits and small truck can load 7 tons. In order to use the least number of trucks and have every truck fully occupied,
|
how many small trucks should be used?
|
Common-Division
|
2 (small trucks)
|
134/15=8 r14; 14/7=2
|
Victor and his friend were buying trick decks from the magic shop for eight dollars each.
|
How much did they spend if Victor bought six decks and his friend bought two decks?
|
Multiplication
|
64 (dollars)
|
(6+2)*8=64
|
Tiffany was buying sodas for her and her friends. They needed nine sodas, but Tiffany bought seven extra.
|
How many did she buy?
|
Addition
|
16 (sodas)
|
9+7=16
|
Willy has 5,092 crayons. Lucy has 3,971 crayons.
|
How many more crayons does Willy have than Lucy?
|
Difference
|
1121 (crayons)
|
5092-3971=1121
|
An envelope from the post office is 4 inches wide and 4 inches long.
|
What is the area of the envelope?
|
Geometry
|
16 (square inches)
|
4*4=16
|
Finn has 89 goldfish. 32 of the goldfish die.
|
How many goldfish are left?
|
Subtraction
|
57 (goldfish)
|
89-32=57
|
A box of cupcakes cost $six. If you had eight hundred twenty-one dollars and bought as many boxes as you could,
|
how much money would you have left?
|
Surplus
|
5 (dollars)
|
821/6=136 r5
|
Kiera is making trail mix out of 16 bags of nuts and 6 bags of dried fruit. She wants each new portion of trail mix to be identical, containing the same combination of bags of nuts and bags of dried fruit, with no bags left over.
|
What is the greatest number of portions of trail mix Kiera can make?
|
GCD
|
2 (portions of trail mix)
|
GCD(16,6)=2
|
If each ball costs $1.54,
|
how much must Kyoko pay for three balls?
|
Multiplication
|
4.62 (dollars)
|
1.54*3=4.62
|
At the end of the cave, they found a golden chest. If the chest contains 421 diamonds and 377 rubies,
|
how many more diamonds are there than rubies?
|
Subtraction
|
44 (diamonds)
|
421-377=44
|
Alyssa has 30 books in her library. She bought several books at a yard sale over the weekend. She now has 88 books in her library.
|
How many books did she buy at the yard sale ?
|
Subtraction
|
58 (books)
|
88-30=58
|
The school cafeteria ordered 25 red apples and 17 green apples for students lunches. But, if only 10 students wanted fruit,
|
how many extra did the cafeteria end up with?
|
Subtraction
|
32 (apples)
|
(25+17)-10=32
|
Ted has 15 candy bars. He wants to put them into 5 bags so there are the same number of candy bars in each bag.
|
How many candy bars should go in each bag?
|
Common-Division
|
3 (candy bars)
|
15/5=3
|
One stamp costs $0.34. Two stamps cost $0.68. Three stamps cost $1.02. If the cost of each stamp remains the same,
|
how much would 4 stamps cost?
|
Addition
|
1.36 (dollars)
|
1.02+0.34=1.36
|
Kate is 12 years old. His age is 4 times the age of Robbie.
|
Find the age of Robbie.
|
Algebra-1
|
3 (years old)
|
R:Robbie's age; 12=4*R
|
Amy had 26 music files and 36 video files on her flash drive. If she deleted 48 of the files,
|
how many files were still on her flash drive?
|
Subtraction
|
14 (files)
|
(26+36)-48=14
|
A cafeteria sold 49 cartons of regular flavored milk. If the ratio of regular milk sold to chocolate milk sold was 7:2,
|
what is the combined amount of chocolate and regular milk sold?
|
Addition
|
63 (cartons of milk)
|
7:2=49:14; 49+14=63
|
Mrs. Hilt bought 15 boxes of citrus fruits from a fundraiser. She paid $12 for each box. If 6% sales tax was added to the total cost,
|
how much was her total bill?
|
Multiplication
|
190.8 (dollars)
|
(15*12)*(1+6/100)=190.8
|
The area of right angled triangle is 32 sq. cm. If the base is 8 cm,
|
find its height.
|
Geometry
|
8 (cm)
|
(8h)/2=32
|
Lucy has 212 fish.
|
How many more fish does she need to buy to have 280 fish?
|
Subtraction
|
68 (fish)
|
280-212=68
|
Maggi had 3 packages of cupcakes. There are 4 cupcakes in each package. She ate 5 cupcakes.
|
How many are left?
|
Subtraction
|
7 (cupcakes)
|
(3*4)-5=7
|
Bryan has always been fond of studying rocks and minerals. He has a room full of books about and samples of the different types of rocks. One particular day, he went in the room to take a look at his mineral samples. If he has 65 samples of minerals per shelf, and he has a total of 7 shelves,
|
how many mineral samples does he have?
|
Multiplication
|
455 (mineral)
|
65*7=455
|
There are 37 baskets. There are 17 apples in each basket.
|
How many apples are there in all?
|
Multiplication
|
629 (apples)
|
37*17=629
|
Before they end the meeting, Tom counted the total number of robots in his collection. He has 6 sets of robots and each set is composed of 7 robots.
|
How many robots does Tom have in his collection?
|
Multiplication
|
42 (robots)
|
6*7=42
|
Malia is picking berries in the berry patch. She picks 3 berries from the first bush, 4 berries from the second bush, 7 berries from the third bush, and 12 berries from the fourth bush. If this pattern continues,
|
how many berries will Malia pick from the fifth bush?
|
Sequential-Operation
|
19 (berries)
|
3, 4, 7, 12, 19
|
Kim has 4 cousins. She wants to give each one 5 pieces of gum.
|
How much gum will she need?
|
Multiplication
|
20 (pieces of gum)
|
4*5=20
|
The second angle of a triangle is three times the first, and the third is 12 degrees less than twice the first.
|
Find the measures of the angles.
|
Algebra-2
|
32 (degrees); 96 (degrees); 52 (degrees)
|
x:The first angle of a triangle; y:The second angle of a triangle; y=3x; 180-(x+y)=2x-12
|
Lawrence has 5504 marbles. If he shares them among 64 friends,
|
how many marbles does each friend get?
|
Common-Division
|
86 (marbles)
|
5504/64=86
|
The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units.
|
Find the dimensions of the rectangle.
|
Algebra-2
|
17 (units); 9 (units)
|
x:The length of a rectangle; y:The breadth of a rectangle; (x-5)(y+3)=xy-9; (x+3)(y+2)=xy+67
|
Next on his shopping list are the eggs. If he needs 222 eggs for his cake and his friend Andrew gave him 155,
|
how many more eggs should he buy?
|
Subtraction
|
67 (eggs)
|
222- 155=67
|
A pet store sold 12 siamese cats. If the ratio of siamese cats to house cats sold was 2:1,
|
what is the combined amount of cats sold?
|
Ratio
|
18 (cats)
|
2:3=12:18
|
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