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If fractions give you a headache, then this quiz should cure it!

Fractions 2 (Easy)

Fractions make saving, spending, and sharing clearer. This 11 Plus Maths quiz helps you practise dividing whole numbers into simple, equal parts.

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Fascinating Fact:

If you save one tenth of your pocket money every week, by the tenth week you have saved one whole week’s worth.

In 11 Plus Maths, fractions are used to show parts of a whole or group. They appear in real-life situations like sharing food, saving money, or dividing time.

Key Terms

Fraction: A way to represent part of a whole, written with a top and bottom number.
Denominator: The bottom number that shows how many equal parts make the whole.
Numerator: The top number that shows how many parts are taken or used.

To explore more examples of 11 Plus practice content, visit our Guide to 11 Plus Sample Questions for Parents .

Frequently Asked Questions (Click to see answers)

How do I find one tenth of a number?

To find one tenth of a number, divide it by ten. For example, one tenth of 100 is 10.

What does the denominator tell us?

The denominator tells how many equal parts make the whole. In ¾, the 4 means the whole is divided into four parts.

Where are fractions used in real life?

Fractions are used when cooking, saving money, cutting materials, or working with time and measurements.

Try These Related Quizzes

1 .

What is one ninth of 81?

729

¹?₉ × 81 = 81 ÷ 9 = 9

2 .

What is 3 ²⁄₃ as an improper fraction?

⁹⁄₃

¹⁰⁄₃

¹¹⁄₃

¹²⁄₃

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 × 3 = 9. STEP 2: 9 + 2 = 11. STEP 3: ¹¹?₃

3 .

What is ¹⁴⁄₆ as a mixed fraction?

2 ¹⁄₆

2 ¹⁄₃

2 ¹⁄₄

⁷⁄₃

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: 14 ÷ 6 = 2. STEP 2: Remainder 2. STEP 3: 2 ²?₆. Of course, this can be simplified further as 2 ¹?₃

4 .

What is ¹⁄₃ of ¹⁄₃?

²⁄₆

¹⁄₄

¹⁄₆

¹⁄₉

Of, in this case, means multiply. You multiply the numbers in the denominator together, and you multiply the numbers in the numerator together to form a single fraction: 1 x 1 = 1 and 3 x 3 = 9 so ¹?₃ x ¹?₃ = ¹?₉

5 .

What is ⁶⁶⁄₂₄ as a mixed fraction?

2 ¹⁷⁄₂₄

2 ³⁄₄

2 ¹⁹⁄₂₄

2 ²⁄₃

REDUCE the fraction to its simplest form: divide the denominator by 24 to get 2 remainder 18. So, the fraction is 2 ¹⁸?₂₄. This can be simplified further by dividing the numerator and denominator by 6: 2 ¹⁸?₂₄ = 2 ³?₄

6 .

What is the quickest way to find ²⁄₃ of a number?

Divide by two then add three

Divide by three then add two

Multiply by three then divide by two

Divide by three then multiply by two

To find one-third of something, you divide it by three. To find two-thirds, multiply one-third by two

7 .

Sophie spent two-thirds of her Christmas money on a book about horses. If she got £24 in total, how much was Sophie’s book?

£20

£18

£16

£14

²?₃ × £24 = (2 × £24) ÷ 3 = £48 ÷ 3 = £16

8 .

Arnold ate ⁷⁄₁₅ of a cake and Betty ate a third. How much cake is left for their brother Clive?

¹⁄₅

¹⁄₄

¹⁄₃

¹⁄₁₅

First, convert all fractions to the same denominator: ⁷?₁₅ + ¹?₃ = ⁷?₁₅ + ⁵?₁₅ = ¹²?₁₅. There is ³?₁₅, or ¹?₃ of the cake left for Clive

9 .

What is 6 ⁹⁄₁₂ as an improper fraction?

²⁶⁄₄

²⁸⁄₁₂

²⁷⁄₄

²⁶⁄₁₂

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 × 12 = 72. STEP 2: 72 + 9 = 81. STEP 3: ⁸¹?₁₂ BUT you must now REDUCE the fraction to its simplest form: divide the numerator and the denominator by 3 to get ²⁷?₄

10 .

John got one-sixth of the questions in his maths test wrong. If there were 120 questions in the test, how many did John get wrong?

100

The word 'of' means multiply; therefore one-sixth OF something means multiply by ¹?₆ BUT multiplying by a sixth is the same as dividing by six: 120 ÷ 6 = 20

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)