We're back with another fun and challenging quiz to throw your mathematical weight at. This time we're focusing on FRACTIONS. You've got 14 word problems to solve and they're all about the fraction. Good luck!

4/7 of a number is 84. Find the full number.

147

21

12

156

One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

3/10

2/10

4/25

4/10

A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd?

3

2

5

4

Mrs. Smith's class is making vests. Each vest uses 2/3 of a yard of fabric. How many vests can they make out of 18 yards of fabric?

18 ÷ 2/3 = 54/2, which reduces to 27.

27

30

23

35

There are eight book shelves with 44 books per shelf? If 1/4 of these books are novels, how many novels would there be?

8 x 44 = 352 total books. 352 x 1/4 = 88

88

82

77

56

A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in Seattle, and then 35 passengers board the train. How many passengers are on the train when it leaves the station?

150 x 2/5 = 60 people get off. 150 – 60 + 35 = 125 125 passengers are on board the train when it leaves the station

125

75

135

95

There was 5/8 of a pie left in the fridge. Daniel ate 1/4 of the leftover pie. How much of a pie did he have?

5/32

6/32

4/64

10/22

Lisa says “I would rather have 5/9 of $72 than 4/6 because I will get more to spend.” Is she correct?

She's wrong. 4/6 would give her $48 instead of $40.

Yes

No

30 people watched the football game last night. Tickets cost $2.75 each. Half of these fans bought a program at $1.50 each. How much money was collected?

30 x 2.75 = 82.50 collected for tickets. ½ of the people bought a program, so 30 * 1/2 = 15 bought programs. 15 x 1.50 = 22.50 collected for programs 82.50 + 22.50 = 105

$115

$101

$105

$75

Of 100 children in Grades 5 and 6, three-quarters have pets; 40 children have a dog, and 18 children have a cat. How many children have other kinds of pets?

100 x 3/4 = 75, so 75 children have pets. 75 – 40 – 18 = 17 17 children have other kinds of pets

17

19

7

21

In a garden the trees are made of 1/5 mango trees, 1/8 litchi trees and 1/12 are banana trees. The rest are guava trees. if the number of guava trees is 142 - What is the total number of trees?

240

120

140

220

Olivia used pound of peppers and pound of cheese to make 3 pizzas. If she uses the same recipe to make 5 pizzas, how much cheese is needed?

1/15 divided by 3 X 5 = 1/9

1/9

2/9

1/7

2/5

There was a bowl with 120 candies in it. Steve, Bob and Margie found the bowl. Steve ate 2/12 of the candies, Bob ate 3/12 and Margie had 5/12. How many candies were left?

2/12 + 3/12 + 5/12 = 10/12 = 5/6 5/6 * 120 = 100; the boys ate 100 candies. 120 – 100 = 20

20

30

25

15

According to a recipe, 9/20 oz. of sugar is needed to make 6 cookies. Jess decided to use only a third of the sugar to make it healthier. How much sugar did Ashley use?

9/20 X 1/3 = 3/20

3/20

1/10

5/14

3/10

You Did Less Than 1/5 - That's a FAIL

Unfortunately, you got 1/5 or less of the answers right. That means you have a lot of work to do with fractions, starting with basics and moving on to multiplication and division of fractions. Many online sites offer free lessons and worksheets for practicing. Don't let your math go to waste.

You Got Around a 4/15 to 7/15 of the answers right: Not Great

While not a complete fail, this was not a strong score. This means you may have the basics of fractions right but perhaps are out of practice using them in multiplication, finding a shared number, and fraction division. Many online sites offer free worksheets for practicing your basics again and getting a firmer hand on this old material you probably haven't had to use in a while.

You Did Between 7/15 and 3/4 - That's Good!

You definitely know your way around fractions, and it's hard to stump you. That said, it could be some time since you practiced, so some questions did get by you. We're sure you've got the basics down pat so if you try again we have little doubt you can ace this test completely. Why not try again since you surely know this material? If not, maybe have a quick look at your mistakes below to know where you went wrong.

4/5 to 5/5 - You ACED IT!

Wow, you got over 75% in the test, perhaps even aced it completely! Way to go, you truly know your fractions, and it's almost impossible to throw YOU for a loop no matter how hard the fractions or how incompatible they may seem to be. You have that mathematical eye that finds the shared rules for those fractions and with it the answer. You rock the fractions!

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