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

# Fractions 2 (Easy)

In the last Eleven Plus maths quiz we learnt about improper fractions (in which the numerator (top number) is greater than or equal to the denominator (bottom number)) and mixed fractions (in which there is a whole number and a fractional part). In this second easy quiz on fractions, we give you more opportunity to familiarise yourself with these terms.

There will be times in maths when you are asked to convert an improper fraction to a mixed one, and vice versa. Thankfully, there are some simple rules which make this easier: to convert a mixed fraction to an improper fraction, first multiply the whole number part by the denominator, then add your answer to the numerator. E.g. 3 13 = ((3 x 3) + 1) ÷ 3 = 103.

To do the reverse, simply divide the numerator by the denominator. Write the answer before the fraction and put any remainders in the numerator place. E.g. 103 = 10 ÷ 3 = 3 remainder 1 = 3 13.

1.
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
80
50
20
The word 'of' means multiply; therefore one-sixth OF something means multiply by 16 BUT multiplying by a sixth is the same as dividing by six: 120 ÷ 6 = 20
2.
What is 146 as a mixed fraction?
2 16
2 13
2 14
73
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 26. Of course, this can be simplified further as 2 13
3.
What is the quickest way to find 23 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
4.
Arnold ate 715 of a cake and Betty ate a third. How much cake is left for their brother Clive?
15
14
13
115
First, convert all fractions to the same denominator: 715 + 13 = 715 + 515 = 1215. There is 315, or 13 of the cake left for Clive
5.
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
23 × £24 = (2 × £24) ÷ 3 = £48 ÷ 3 = £16
6.
What is 3 23 as an improper fraction?
93
103
113
123
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: 113
7.
What is one ninth of 81?
9
90
72
729
19 × 81 = 81 ÷ 9 = 9
8.
What is 6 912 as an improper fraction?
264
2812
274
2612
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: 8112 BUT you must now REDUCE the fraction to its simplest form: divide the numerator and the denominator by 3 to get 274
9.
What is 6624 as a mixed fraction?
2 1724
2 34
2 1924
2 23
REDUCE the fraction to its simplest form: divide the denominator by 24 to get 2 remainder 18. So, the fraction is 2 1824. This can be simplified further by dividing the numerator and denominator by 6: 2 1824 = 2 34
10.
What is 13 of 13?
26
14
16
19
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 13 x 13 = 19
Author:  Frank Evans

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