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End-of-unit review

End-of-unit review

1 Write each fraction in its simplest form.
a 5 b 16 c 24 d 22 e 250 f 21
15 20 32 55 350 27

2 Write the fraction 84 in its lowest terms.
108
Show how you check your answer.
3 Work out these additions and subtractions.
Write each answer in its simplest form and as a mixed number when appropriate.
Show all the steps in your working.
1
a 1 + 3 b 7 − 1 c 2 + 5 d 4 3 + 2 e 3 − 7 f 7 7 − 4 1
4 8 12 4 5 6 8 3 5 15 8 12
4 Keith is a plumber. He has a 5 m length of pipe. 5 m
He cuts off two pieces of pipe.
1
2

The first piece is 2 m long, the second is 1 m long.
4 5
a How long is the piece of pipe that Keith has left? 2 1 m 1 2 m m
b Show how to check your answer is correct. 4 5

5 Work out these multiplications.
Cancel common factors before multiplying.
Write each answer as a mixed number in its simplest form.
8
4
a 3 × 15 b 2 × 810 c 5 × 7 d 2 × e 3 × f 4 × 9
5 9 9 5 9 4 9 9 16
1
7
6 a The guests at a party eat of a cake. Tom eats of what is left.
2
8
What fraction of the cake does Tom eat?
3
4
b At the party of a pie are eaten. Jo eats of what is left.
5 5
What fraction of the pie does Jo eat?
7 Work out these divisions.
Write each answer in its simplest form and as a mixed number when appropriate.
4
2
a 12 ÷ 4 b 21÷ 6 c 25 ÷ d 3 ÷ e 3 ÷ 12 f 9 ÷ 15
5 7 5 5 9 7 33 11 22
8 Read what Dakarai says.

If I divide an improper fraction by a
different improper fraction, my answer will
always be an improper fraction.

Use a counter-example to show that this statement is not true.

74 7 Fractions