P3 Fraction Test: Trivia Quiz!

1) The circle below is divided equally into 12 parts.

How many parts should be shaded to show 7/12 ?

5

7

11

12

To show 7/12, 7 of the 12 parts should be shaded.

Explanation

To show 7/12, 7 of the 12 parts should be shaded.

2) How many quarters of the circle should be shaded to show 3/4?

1

2

3

4

3/4 is used to represent 3 out of the 4 quarters are shaded.

Explanation

3/4 is used to represent 3 out of the 4 quarters are shaded.

3) How many quarters of the circle should be shaded to show 1/4?

1

2

3

4

1/4 is used to represent 1 out of the 4 quarters is shaded.

Explanation

1/4 is used to represent 1 out of the 4 quarters is shaded.

4) How many more quarters of the circle should be shaded to show 3/4?

1

2

3

4

One of the quarters is already shaded. Thus to shade 3/4, 2 more quarters are needed.

Explanation

One of the quarters is already shaded. Thus to shade 3/4, 2 more quarters are needed.

5) Express 9/12 in its simplest form.

2/3

4/3

3/4

1/2

To express a fraction in its simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. In this case, the GCD of 9 and 12 is 3. Dividing both 9 and 12 by 3 gives us 3/4, which is the simplest form of the fraction 9/12.

Explanation

To express a fraction in its simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. In this case, the GCD of 9 and 12 is 3. Dividing both 9 and 12 by 3 gives us 3/4, which is the simplest form of the fraction 9/12.

6) How many quarters of the circle should be shaded to show 1/2?

1

2

3

4

1/2 is the simplest form of the 2 out of the 4 quarters shaded

Explanation

1/2 is the simplest form of the 2 out of the 4 quarters shaded

7) The circle below is divided equally into 12 parts.

How many more parts should be shaded to show 1/2 of the circle is shaded?

1

2

3

4

1/2 is the simplest form of 6 of the 12 parts shaded.
There are already 4 parts shaded.
Therefore, 6 parts - 4 parts = 2 parts

Explanation

1/2 is the simplest form of 6 of the 12 parts shaded.
There are already 4 parts shaded.
Therefore, 6 parts - 4 parts = 2 parts

8) The figure is made of identical triangles.

How many triangles should be shaded to show 3/4?

3

4

12

16

3/4 is the simplest form of 12 of the 16 triangles shaded.

Explanation

3/4 is the simplest form of 12 of the 16 triangles shaded.

9) What is the missing fraction?

16/16

9/16

9

16/9

1 whole = 16 /16

16 /16 - 7 /16 = 9/16

Explanation

1 whole = 16 /16

16 /16 - 7 /16 = 9/16

10) The circle below is divided equally into 12 parts.

How many parts should be shaded to show 5/6?

5

6

10

12

5/6 is the simplest form of the 10 out of the 12 parts shaded.

Explanation

5/6 is the simplest form of the 10 out of the 12 parts shaded.

11) How many eighths make a whole?

1

2

4

8

8/8 = 1

Explanation

8/8 = 1

12) Find the difference between 7/8 and 3/16.

4/8

1/8

11/16

17/16

Express both fractions to be in same denominator before subtraction

Step 1: 7/8 = 14/16

14/16 - 3/16 = 11/16

Explanation

Express both fractions to be in same denominator before subtraction

Step 1: 7/8 = 14/16

14/16 - 3/16 = 11/16

13) The figure is made of identical triangles.

How many triangles should be shaded to show 7/8?

7

8

14

16

7/8 is the simplest form of 14 of the 16 triangles shaded.

Explanation

7/8 is the simplest form of 14 of the 16 triangles shaded.

14) Which of the following set of fractions is arranged in ascending order (smallest to greatest)?

1/2 , 1/3, 1/4

1/5, 1/6, 1/7

1/4, 1/3, 1/2

1/9, 1/10, 1/11

the smaller the denominator, the greater is the fraction size.

Explanation

the smaller the denominator, the greater is the fraction size.

15) Refer to the diagram, what is the remaining number of eighths to to make 1 whole?

1

2

3

6

1/4 = 2/8

1 = 8/8

8/8 = 2/8 + 6 /8

Explanation

1/4 = 2/8

1 = 8/8

8/8 = 2/8 + 6 /8

16) The circle below is divided equally into 12 parts.

What is the fraction of the shaded parts?(in simplest form)

2/12

2/6

1/2

1/6

1/6 is the simplest form of the 2 out of the 12 parts shaded.

Explanation

1/6 is the simplest form of the 2 out of the 12 parts shaded.

17) Find the sum of 1/3 and 1/6. Leave answer in simplest form.

1/9

3/6

1/2

2/9

Express both fractions to have same denominator

1/3 = 2/6

2/6 + 1/6 = 3/6 = 1/2

Explanation

Express both fractions to have same denominator

1/3 = 2/6

2/6 + 1/6 = 3/6 = 1/2

18) There are 40 pupils in a class. 24 of them are girls. What fraction of the class is boys?

Give your answer in simplest form.

3/5

24/40

16/40

2/5

40 - 24 = 16

16/40 = 2/5

Explanation

40 - 24 = 16

16/40 = 2/5

19) What is the missing fraction?( in simplest form)

14/14

4/14

2/7

7/2

1 whole is 14/14

14/14 - 10/14 = 4/14 = 2/7

Explanation

1 whole is 14/14

14/14 - 10/14 = 4/14 = 2/7

20) Which of the following set of fractions is arranged in descending order (greatest to smallest)?

1/2, 1/4, 6/8

6/8, 1/2, 1/4

1/4, 1/2, 6/8

6/8, 1/4, 1/2

Express all fractions to be in the same denominator.

1/2 = 4/8

1/4 = 2/8

Therefore,

6/8, 1/2, 1/4

6/8' 4/8, 2/8

Explanation

Express all fractions to be in the same denominator.

1/2 = 4/8

1/4 = 2/8

Therefore,

6/8, 1/2, 1/4

6/8' 4/8, 2/8

21) Melvin, Sarah, Linda and Alan were given a bar of chocolate of the same size each.
Here is what they ate:

Melvin ate 1/2 of his bar chocolate ;

Sarah ate 5/8 of her bar chocolate ;

Linda ate 3/4 of her bar chocolate ;

Alan ate 9/16 of his bar chocolate.

Who ate the most?

Melvin

Sarah

Linda

Alan

Express all fractions to have the same denominator

1/2 = 8/16

5/8 = 10/16

3/4 = 12/16

9/ 16

Sarah ate the most

Explanation

Express all fractions to have the same denominator

1/2 = 8/16

5/8 = 10/16

3/4 = 12/16

9/ 16

Sarah ate the most

22) Tom bought a pizza for Jane and Wendy.

Jane ate 3/4 of the pizza while Wendy ate 1/12 of it.

a) What is the fraction of the ate by the two girls?(in simplest form)

b) What fraction of the pizza was left?(in simplest form)

A) 10/12 b) 2/12

A) 8/12 b) 2/3

Step 1 . Add 3/4 and 1/12. Ans:10/12 , convert to simplest form to 5/6

Step 2. Minus 5/6 from 1 whole. Ans: 6/6 - 5/6 = 1/6

Explanation

Step 1 . Add 3/4 and 1/12. Ans:10/12 , convert to simplest form to 5/6

Step 2. Minus 5/6 from 1 whole. Ans: 6/6 - 5/6 = 1/6

23) John has 8 stamps.

Mary has 4 times as many stamps as John.

What is the fraction of John's stamps to the total number of stamps the two children have? (In simplest form)

1/5

8/40

8/12

3/4

Step 1 : 8 X 4 = 32

Step 2 : 32 + 8 = 40

Step 3 : 8 / 40 = 1/5

Explanation

Step 1 : 8 X 4 = 32

Step 2 : 32 + 8 = 40

Step 3 : 8 / 40 = 1/5