Question 1:

There were two cookies in the fridge. The first cookie was cut into 18 slices and there are 7 slices left. The other cookie was cut into 16 slices and 8 slices were sold. How much cookie is left in the fridge?

Question 2:

Suzy planned to interview some applicants for a position in her office. If she scheduled 1/7 of an hour to meet each of them, how much time did she schedule for all 4 applicants? Give answer in fraction or whole number.

Question 3:

In a town, there are 486 people. 3/4 of the people are women. How many men are there in the town?

Question 4:

Mrs. Brown made 2 pizzas with 8 oz of cheese. How much cheese is each pizza made with? Give your answer in fractions.

Question 5:

James has 36 cookies in a box. He saves 1/4 of them for himself and gives the rest to his family. How many cookies will he give to his family? Give answer in fraction or whole number.

Question 6:

Gordon had an out-of-town training last week. Before the training, he noticed that his car was 8/9 full of gasoline. After the training, the gas tank was 7/8 full. What fraction of the gasoline in the car was used during the trip?

Question 7:

Hank baked 17 cookies and his five children shared the cookies equally. Between which two whole numbers does the number of cookies they have lie?

Question 8:

Beth used 9 packages of spaghetti to make dinner for 48 guests. How much did each guest have? Give your answer in fractions.

Question 9:

A 7-storey building is 65 feet tall. Between which two whole numbers does the height of each storey lie? Give your answer in fractions.

Question 10:

There is a bag of coffee in the cupboard. The bag contained 3/4 kilograms of coffee. The chef filled up an empty can with 2/10 kilogram of coffee and then used 5/20 of a kilogram of coffee for a cake. How much coffee was left in the bag?

Question 11:

According to her father, 9/20 of a sack of concrete is needed for every sack of sand for the wall plaster mixture. Sally only needs a quarter of the concrete because she will just cover some cracks. How much concrete does she need?

Question 12:

Of 150 children in Grades 4 and 5, two-thirds have pets; 16 children have a cat, and 18 children have a dog. How many children have other kinds of pets? Give answer in fraction or whole number.

Question 13:

In order to pass, Amanda must get 2/3 of the items correct on a 90-item quiz in 3 subjects. How many items does she need to get correct in order to pass the quiz in each subject? Give answer in fraction or whole number.

Question 14:

John squeezed 10 1/2 oz of juice into a pitcher that can hold 17 4/5 oz. Alice poured 4 5/8 oz of juice out. How much juice was left in the pitcher?

Question 15:

Paul purchased m pizzas for 38 colleagues at a gathering. Each member will have 1/12 of a pizza. Find m.

Question 16:

John is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 7/7 of the bottle. A coach filled up his bottle for him during the second quarter. At the end of second quarter, he drank some more water and left only 4/5 of water in the bottle. How much water did he drink during the first half of the game?

Question 17:

A team of 9 electricians collaborated to assemble 2 power plants in 14 days. How much of a power plant did each of them construct? Give your answer in fractions.

Question 18:

A baby walrus was born 9/10 of a month early. At birth, its weight was 3/4 kilograms, which is 5/6 kilogram less than the average weight of newborn walrus in the ocean. What is the average weight of newborn walrus?

Question 19:

Linda has 21 meters of red ribbon and 42 meters of twine. For knitting, she wants to cut the red ribbon into smaller pieces measuring 3/7 meters each. How many smaller ribbons will she have?

Question 20:

Colton had an out-of-town trade show last week. Before the show, he noticed that his car was 2/3 full of gasoline. After the show, the gas tank was 3/8 full. What fraction of the gasoline in the car was used during the trip?

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Answer Keys

Question 1: 15

Question 2: 4/7

Question 3: 121

Question 4: 4

Question 5: 27

Question 6: 1/72

Question 7: 3 and 4

Question 8: 3/16

Question 9: 9 and 10

Question 10: 7/10

Question 11: 9/80 of a sack of concrete

Question 12: 66

Question 13: 20

Question 14: 11 11/20

Question 15: 4

Question 16: 1 1/5

Question 17: 2/9

Question 18: 4.5

Question 19: 49

Question 20: 7/24

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Solutions

Question 1
To find the total amount of cookie left in the fridge, we need to add the number of slices left from each cookie. The first cookie has 7 slices left, and the second cookie has 16 - 8 = 8 slices left. Adding them together, we get 7 + 8 = 15 slices of cookie left in the fridge.

Question 2
To find the total time Suzy scheduled, we need to multiply the time she scheduled for each applicant by the number of applicants. 1/7 of an hour is the same as 8/56 of an hour, which simplifies to 1/7. So, to find the total time, we can simply multiply 1/7 by 4: 1/7 * 4 = 4/7. Therefore, Suzy scheduled 4/7 of an hour to meet all 4 applicants.

Question 3
Step 1: Find the number of women in the town by multiplying 3/4 by 486, which equals 364.5. Step 2: Subtract the number of women from the total population to find the number of men. 486 - 364.5 = 121.5 men in the town. Since you cannot have a fraction of a person, we round down to get the final answer of 121 men in the town.

Question 4
Mrs. Brown used 8 oz of cheese for 2 pizzas. To find the amount of cheese per pizza, we can divide the total amount of cheese by the number of pizzas. 8 oz / 2 pizzas = 4 oz/pizza

Question 5
If James saves 1/4 of the 36 cookies, he will keep (1/4)*36 = 9 cookies for himself. This means he will give the rest to his family. So, James will give 36 - 9 = 27 cookies to his family. Therefore, the answer is 27.

Question 6
To find the fraction of gasoline used during the trip, we can subtract the final fraction from the initial fraction: 8/9 - 7/8 - = (64/72) -(63/72) = 1/72.

Question 7
To find the number of cookies each child gets, we need to divide the total number of cookies (17) by the number of children (5). This gives us the fraction 17/5. The number of cookies each child gets lies between the whole numbers 3 and 4.

Question 8
Beth used 9 packages of spaghetti for 48 guests. To find out how much spaghetti each guest had, we can divide the total number of packages by the number of guests. 9 / 48 = 3/16. So, each guest had 3/16 of a package of spaghetti.

Question 9
Divide the total height of the building (65 feet) by the number of storeys (7) to get the height of each storey. 65/7 = 9 2/7 Therefore, the height of each storey lies between whole numbers 9 and 10.

Question 10
Step 1: Subtract the amount of coffee used for the cake from the amount of coffee filled in the can. 2/10 - 5/20 = 4/20 - 5/20 = -1/20. Step 2: Add the result from step 1 to the amount of coffee in the bag. 3/4 + (-1/20) = 15/20 + (-1/20) = 14/20. Step 3: Simplify the fraction in the final answer. 14/20 = 7/10. Therefore, there is 7/10 kilogram of coffee left in the bag.

Question 11
If 9/20 of a sack of concrete is needed for every sack of sand, then Sally will need 1/4 x 9/20 = 9/80 of a sack of concrete to cover some cracks. Therefore, Sally needs 9/80 of a sack of concrete.

Question 12
First we find the total number of children who have pets by multiplying the total number of children by the fraction who have pets (2/3). 150 x 2/3 = 100. We then subtract the number of children who have cats (16) and the number who have dogs (18) from the total (100 - 16 - 18 = 66). Therefore, 66 children have other kinds of pets.

Question 13
To find the number of items Amanda needs to get correct in each subject to pass the quiz, we can start by finding the total number of items she needs to get correct across all three subjects. We can do this by multiplying the number of items on the quiz by the fraction she needs to get correct: 90 * 2/3 = 60. This means she needs to get a total of 60 items correct across all three subjects to pass. Since there are three subjects, we can divide this number by 3 to find the number of items she needs to get correct in each subject: 60 / 3 = 20. Amanda needs to get 20 items correct in each subject to pass the quiz.

Question 14
The pitcher had 17 4/5 oz capacity and initially had 10 1/2 oz of juice, so there were 17 4/5 - 10 1/2 = 7 3/10 oz of space left in the pitcher. After Alice poured out 4 5/8 oz of juice, there was 7 3/10 + 4 5/8 = 11 11/20 oz of juice left in the pitcher.

Question 15
To find how many pizzas Paul purchased, we need to divide the total amount of pizza among the number of people. Each person will have 1/12 of a pizza, so we need to multiply the number of people by the fraction 1/12. 38 x 1/12 = 3.166666... Since pizzas can't be divided into fractions, we need to round up to the nearest whole number. Thus, Paul purchased 4 pizzas.

Question 16
To determine how much water John drank during the first half of the game, we need to consider the amount of water he drank in each quarter. At the end of the first quarter, he drank 7/7 of the bottle, which is equivalent to 1 whole bottle (since 7/7 = 1). So he drank: First quarter: 1 During the second quarter, the coach filled up his bottle. At the end of the second quarter, he had 4/5 of the water left in the bottle. To find out how much water he drank during the second quarter, we need to subtract the remaining water from the full bottle: Second quarter: 1 - (4/5) To subtract these fractions, we need a common denominator, which in this case is 5: (5/5) - (4/5) Now, we can subtract the numerators: (5 - 4)/5 = 1/5 So, John drank 1/5 of the bottle during the second quarter. Now, we can add the amount of water he drank during both quarters: 1 (from the first quarter) + (1/5 from the second quarter) Since 1 is the same as 5/5, we can rewrite this as: (5/5) + (1/5) Now, we can add the numerators: (5 + 1)/5 = 6/5 So, John drank 6/5 of his bottle during the first half of the game. Since the fraction is greater than 1, it means that John drank more than the full capacity of his bottle during the first half of the game (considering that the coach refilled it during the second quarter).

Question 17
To find how much of a power plant each electrician built, we need to divide the total work (2 power plants) by the number of electricians (9). So, each electrician built 2/9 of a power plant. Therefore, the answer is 2/9.

Question 18
Let x be the average weight of newborn walrus in the ocean. 5/6x = x - 3/4 5/6x - x = -3/4 -1/6x = -3/4 x = (-3/4) ÷ (-1/6) = 4.5 kilograms. Therefore, the average weight of newborn walrus is 4.5 kilograms.

Question 19
There are different methods to solve this problem. One way is to divide 21 by 3/7. This is the same as multiplying 21 by 7/3, which gives 49. But since Linda has red ribbon, not blue ribbon like David in the previous question, the answer should be different. The correct answer is 21 divided by 3/7, which is the same as 21 times 7/3, which equals 49.

Question 20
To find the fraction of gasoline used during the trip, we need to subtract the final amount of gasoline from the initial amount and then calculate the ratio. The initial amount of gasoline in the car is 2/3 and the final amount is 3/8. To subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 3 and 8 is 24. We can convert both fractions to have a denominator of 24: Initial amount = (2/3) * (8/8) = 16/24 Final amount = (3/8) * (3/3) = 9/24 The fraction of gasoline used is the difference between the initial and final amounts: Fraction used = Initial amount - Final amount = 16/24 - 9/24 = 7/24. Therefore, 7/24 of the gasoline in the car was used during the trip.