Question 1:

There are 208 tennis rackets in the court for an organization of 18 teams. Between which two whole numbers does the number of rackets each team can use lie? Give your answer in fractions.

Question 2:

It is Sports Day at school. The school cafeteria prepared 15 big platters of sandwiches for the 6 classes of Grade 4 students. How many platters of sandwiches will each class get? Give your answer in fractions.

Question 3:

Lilly used 5/7 meters of rope to tie up one package. If she has 70 meters of rope, how many packages can she tie up?

Question 4:

There are z people in the audience for a basketball game. 7/8 of the audience are spectators. Write the expression for the number of spectators watching the basketball game.

Question 5:

In a sale TV's are reduced by 15%. What is the sale price if the original price was $200.00? Give answer in fraction or whole number.

Question 6:

Jake squeezed 13 3/4 oz of juice into a pitcher that can hold 12 1/4 oz. Suzie poured 3 5/8 oz of juice out. How much juice was left in the pitcher?

Question 7:

There were 4/8 gallons of latex paint in storage. Doctor House used 2/3 of the paint for the fence. How much paint did he use?

Question 8:

Jessie is in charge of writing the report. She completed 2/5 of the report before the end of the day. When she went home, she finished 4/7 of the remaining report. How much of the report does Jessie still need to work on? Give answer in fraction or whole number.

Question 9:

Each batch of brownie mix requires 1/3 of a cup of oil. According to the recipe, the batch can make 12 bite-sized pieces or 8 large pieces. If Peter makes a batch of large pieces, how much oil is used for each piece?

Question 10:

There were two pies in the fridge. The first pie was cut into 14 slices and there are 5 slices left. The other pie was cut into 12 slices and 6 slices were sold. How much pie is left in the fridge?

Question 11:

6/10 of the employees are male. 3/8 of the employees work part time at the zoo. What fraction of the employees is female?

Question 12:

It is Lunch Day at school. The school cafeteria prepared 10 big plates of cookies for the 7 classes of Grade 6 students. How many plates of cookies will each class get? Give your answer in fractions.

Question 13:

The office ordered 4 boxes of items for the new year. There are 24 students in the school. If the items are divided equally among the students, how many boxes of items will each student get? Give your answer in fractions.

Question 14:

Katrina spent 3/4 of an hour paragliding and 5/6 of an hour mountaineering. Afterwards, she kayaked for 1/8 of an hour. How much time did Katrina exercise before she went kayaking?

Question 15:

George has 48 pieces of candy in a package. He keeps 2/3 of them and shares the rest with his classmates. How many pieces of candy will he give to his classmates? Give answer in fraction or whole number.

Question 16:

The glasses can hold 7/9 of a liter of liquid. If Benjamin pours 4/5 of a liter of juice into a glass, how much soda can a customer add?

Question 17:

There are 18 questions on a math test. The time allowed for the test is 45 minutes. Between which two numbers does the time allowed for each question lie?

Question 18:

Christopher buys 7 souvenirs for his siblings and parents. Each gift takes up 1/12 of his suitcase. If he has two suitcases, how much room is left for his own belongings in his suitcases? Give answer in fraction or whole number.

Question 19:

A bus arrives at the station with 175 passengers on board. 3/7 of the passengers get off the bus in Atlanta, and then 25 passengers board the bus. How many passengers are on the bus when it leaves the station? Give answer in fraction or whole number.

Question 20:

There are 12 pieces of cake in a box. A group of four people is sharing the cake equally. How many pieces of cake does each person get? Give your answer in fractions.

---

Answer Keys

Question 1: 11 and 12

Question 2: 2 and 1/6

Question 3: 98

Question 4: (7/8)z

Question 5: $170.00

Question 6: 8 5/8

Question 7: 1/3

Question 8: 3/7

Question 9: 1/8 cup

Question 10: 11

Question 11: 2/5

Question 12: 1 3/7

Question 13: 1/6

Question 14: 1 7/12

Question 15: 16

Question 16: 37/45

Question 17: 2 and 3

Question 18: 5/6

Question 19: 125

Question 20: 3

---

Solutions

Question 1
208 tennis rackets are for 18 teams. To find the range, we need to calculate 208/18. 208/18 = 11 8/18 = 11 4/9, so each team can use 11 4/9 rackets.

Question 2
To find the number of platters of sandwiches each class will get, we need to divide the total number of platters by the number of classes. For this problem, we have 15 platters and 6 classes. So, dividing 15 by 6 gives us 2 and a remainder of 3. This means that each class will get 2 platters and there will be 3 platters left over. We can represent this as a fraction: each class will get 2 and 1/6 platters of sandwiches.

Question 3
70 ÷ (5/7) = 98 packages

Question 4
The expression for the number of spectators watching the basketball game is (7/8)z.

Question 5
($200.00)(0.85) = $170.00

Question 6
Jake squeezed 13 3/4 oz of juice into a pitcher that can only hold 12 1/4 oz. Therefore, the pitcher can only hold 12 1/4 oz of juice. Suzie poured 3 5/8 oz of juice out, so the remaining juice in the pitcher is: 12 1/4 - 3 5/8 = 8 5/8 oz.

Question 7
To find out how much paint Doctor House used, we need to multiply the amount of paint in storage (4/8) by the fraction representing the amount used for the fence (2/3). This gives us (4/8) * (2/3) = 8/24 or 1/3 gallons of paint used.

Question 8
To find out how much of the report Jessie still needs to work on, we can first find out how much of the report she has already completed. If she completed 2/5 of the report before the end of the day, that means she still had 3/5 of the report left to do. She then finished 4/7 of the remaining report when she went home. To find out how much of the report Jessie still needs to work on, we can subtract the amount she has completed from the total report: 1 - (2/5 + (3/5 * 4/7)) = 1 - (8/35 + 12/35) = 1 - 20/35 = 15/35 = 3/7. Therefore, Jessie still needs to work on 3/7 of the report.

Question 9
1/8 cup

Question 10
To find the total amount of pie left in the fridge, we need to add the number of slices left from each pie. The first pie has 5 slices left, and the second pie has 12 - 6 = 6 slices left. Adding them together, we get 5 + 6 = 11 slices of pie left in the fridge.

Question 11
Female employees = 1 - male employees = 1 - 6/10 = 4/10 = 2/5

Question 12
To find out how many plates of cookies each class will get, you need to divide the total number of plates of cookies by the number of classes. So, we have 10/7 or 1 3/7 plates of cookies.

Question 13
To find out how many boxes of items each student will get, we need to divide the total number of boxes by the total number of students. 4 boxes / 24 students = 1/6 Therefore, each student will get 1/6 of a box of items.

Question 14
3/4 + 5/6 = (9 + 10) / 12 = 19/12 = 1 7/12

Question 15
George keeps 32 pieces of candy, so he will give 16 pieces to his classmates.

Question 16
To solve this problem, we need to first find out how much liquid is already in the glass after Benjamin pours the juice. We can do this by multiplying the fraction of the glass's capacity by the amount of juice Benjamin poured in. 7/9 x 4/5 equals 28/45 of a liter. This means that there is 28/45 of a liter of liquid already in the glass. To find out how much soda can be added, we need to subtract the amount of liquid from the full capacity of the glass. The full capacity of the glass is 7/9 of a liter, so we can subtract 28/45 from 7/9. This gives us 37/45 of a liter of space left in the glass for soda. Therefore, a customer can add 37/45 of a liter of soda to the glass.

Question 17
To find the time allowed per question, we divide the total time by the total number of questions: 45/18 = 2.5 minutes. Therefore, the time allowed per question lies between 2 and 3 minutes, which can be expressed as the fraction 2/3.

Question 18
Since each gift occupies 1/12 of the suitcase, 7 gifts will occupy 7/12 of the suitcase. Christopher has 2 suitcases, which means that the total space that the gifts will occupy is 2 * 7/12 = 7/6. This means that the space left for Christopher's own belongings is equal to 2 - 7/6 = (12/6 - 7/6) = 5/6. Therefore, Christopher has 5/6 of a suitcase left for his own belongings.

Question 19
175 * (4/7) + 25 = 100 + 25 = 125 passengers

Question 20
There are 12 pieces of cake, and they are being shared equally among 4 people. To find out how many pieces each person gets, divide the number of pieces by the number of people: 12 ÷ 4 = 3. So, each person gets 3 pieces of cake.