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Maths Quiz - Fractions (Easy) (Questions)

Fractions help us describe parts of a whole. In this 11 Plus Maths quiz, learn how to spot and compare fractions using simple, everyday examples.

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Fascinating Fact:

The Moon’s visible surface changes by fractions every night – it goes from one eighth full to one half and back again.

In 11 Plus Maths, pupils use fractions to understand parts of a whole and how these relate to decimals and percentages. Fractions appear in cooking, time, and even in nature.

Key Terms

Fraction: A number showing a part of a whole, such as ½ or ¾.
Numerator: The top number of a fraction that shows how many parts are counted.
Denominator: The bottom number that shows how many equal parts make the whole.

To learn which subjects are covered in the 11 Plus exam, read our Guide to 11 Plus Subjects for Parents .

Frequently Asked Questions (Click to see answers)

What does a fraction represent?

A fraction represents one or more equal parts of a whole, such as one quarter of a cake or half of a pizza.

How can fractions be compared?

To compare fractions, find ones with the same denominator – the bigger the numerator, the larger the fraction.

Why do we need fractions in maths?

Fractions are important for sharing, measuring, and understanding other topics like decimals, percentages, and ratios.

Try These Related Quizzes

1.

What is 3³⁄₅ as an improper fraction?

[ ]	⁴⁵⁄₅
[ ]	⁹⁄₃
[ ]	¹⁸⁄₅
[ ]	¹⁸⁄₃

2.

What is the improper fraction ¹⁶⁄₅ as a mixed fraction?

[ ]	3¹⁶⁄₅
[ ]	3¹⁄₅
[ ]	16¹⁄₅
[ ]	10⁶⁄₅

3.

If you are asked to find ¹⁄₈ of something, what is the best method of doing it?

[ ]	Subtract 8
[ ]	Add 8
[ ]	Multiply by 8
[ ]	Divide by 8

4.

What is ¹⁄₂ of ¹⁄₄?

[ ]	³⁄₄
[ ]	¹⁄₈
[ ]	¹⁄₁₆
[ ]	¹⁄₃₂

5.

Mary says that you can have one fifth of her sweets. If she has 125 sweets, how many sweets will you get?

[ ]	75
[ ]	25
[ ]	45
[ ]	65

6.

What is 6³⁄₉ as an improper fraction?

[ ]	¹⁹⁄₃
[ ]	¹⁸⁄₉
[ ]	⁵⁴⁄₃
[ ]	⁵⁷⁄₃

7.

What is ⁵⁴⁄₁₈ as a mixed fraction?

[ ]	3³⁄₁₈
[ ]	3¹⁄₁₈
[ ]	1¹⁄₃
[ ]	3

8.

Harry lost three-quarters of half the money his aunt had given him. If half of the money was £64, how much did Harry lose?

[ ]	£96
[ ]	£32
[ ]	£24
[ ]	£48

9.

First, Anne had ⁴⁄₁₆ of the cake. Then, James had ⁹⁄₁₆ and finally, Henry had ⁶⁄₁₆ of the cake. Is there anything wrong here?

[ ]	Anne should have been given more cake because she is a girl
[ ]	No. Bon appétit!
[ ]	Yes. Henry didn't get the stated amount of cake
[ ]	Yes. there won't be any cake left for Henry

10.

What is one seventh of 49?

[ ]	42
[ ]	56
[ ]	7
[ ]	343

Maths Quiz - Fractions (Easy) (Answers)

1.

What is 3³⁄₅ as an improper fraction?

[ ]	⁴⁵⁄₅
[ ]	⁹⁄₃
[x]	¹⁸⁄₅
[ ]	¹⁸⁄₃

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 3 × 5 = 15. STEP 2: 15 + 3 = 18. STEP 3: ¹⁸?₅

2.

What is the improper fraction ¹⁶⁄₅ as a mixed fraction?

[ ]	3¹⁶⁄₅
[x]	3¹⁄₅
[ ]	16¹⁄₅
[ ]	10⁶⁄₅

To convert an improper fraction to a mixed fraction, follow these steps: 1. Divide the numerator by the denominator. 2. Note the whole number remainder. 3. Write the number from step 1 as the whole number in front of the fractional part AND write the fractional part with the remainder in the numerator and keep the original denominator. STEP 1: 16 ÷ 5 = 3. STEP 2: Remainder 1. STEP 3: 3¹?₅

3.

If you are asked to find ¹⁄₈ of something, what is the best method of doing it?

[ ]	Subtract 8
[ ]	Add 8
[ ]	Multiply by 8
[x]	Divide by 8

The word 'of' means multiply; therefore, one-eighth OF something means multiply by ¹?₈ BUT multiplying by an eighth is the same as dividing by eight because ¹?₈ × 32 = ³²?₈. The same applies in similar situations

4.

What is ¹⁄₂ of ¹⁄₄?

[ ]	³⁄₄
[x]	¹⁄₈
[ ]	¹⁄₁₆
[ ]	¹⁄₃₂

¹?₂ × ¹?₄ = ¹?₈. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction

5.

Mary says that you can have one fifth of her sweets. If she has 125 sweets, how many sweets will you get?

[ ]	75
[x]	25
[ ]	45
[ ]	65

The word 'of' means multiply; therefore one-fifth OF something means multiply by ¹?₅ BUT multiplying by a fifth is the same as dividing by five: 125 ÷ 5 = 25

6.

What is 6³⁄₉ as an improper fraction?

[x]	¹⁹⁄₃
[ ]	¹⁸⁄₉
[ ]	⁵⁴⁄₃
[ ]	⁵⁷⁄₃

To convert a mixed fraction to an improper fraction, follow these steps: 1. Multiply the whole number part by the denominator. 2. Add this result to the numerator. 3. Write the fraction with step 2 in the numerator and keep the original denominator. STEP 1: 6 × 9 = 54. STEP 2: 54 + 3 = 57. STEP 3: ⁵⁷?₉ BUT you must now REDUCE the fraction to its simplest form: divide the numerator and the denominator by 3 to get ¹⁹?₃

7.

What is ⁵⁴⁄₁₈ as a mixed fraction?

[ ]	3³⁄₁₈
[ ]	3¹⁄₁₈
[ ]	1¹⁄₃
[x]	3

⁵⁴?₁₈ = 3: REDUCE the fraction to its simplest form: divide the numerator and the denominator by 18. Be on the LOOKOUT for this sort of thing. Note: we could have written 3¹?₁ but this is pointless

8.

Harry lost three-quarters of half the money his aunt had given him. If half of the money was £64, how much did Harry lose?

[ ]	£96
[ ]	£32
[ ]	£24
[x]	£48

³?₄ × £64 = (3 × £64) ÷ 4 = 192 ÷ 4 = £48

9.

First, Anne had ⁴⁄₁₆ of the cake. Then, James had ⁹⁄₁₆ and finally, Henry had ⁶⁄₁₆ of the cake. Is there anything wrong here?

[ ]	Anne should have been given more cake because she is a girl
[ ]	No. Bon appétit!
[x]	Yes. Henry didn't get the stated amount of cake
[ ]	Yes. there won't be any cake left for Henry

⁴?₁₆ + ⁹?₁₆+ ⁶?₁₆ = ¹⁹?₁₆ which is more than 1 cake! In fact, Henry only got ³?₁₆ of the cake, which was less than Anne got

10.

What is one seventh of 49?

[ ]	42
[ ]	56
[x]	7
[ ]	343

¹?₇ × 49 = 49 ÷ 7 = 7