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End-of-unit review

End-of-unit review

1 Complete these additions.
a −3 + 6 b 12 + −14.5 c −3.5 + −5.7 d −3.6 + 2.8 + −1.3

2 Subtract.
a 12 − −4 b −6.4 − 8.3 c 3.7 − −8.3 d −5.1 − −5.2
3 2.5 × 4.5 = 11.25. Use this to find the value of each expression.
a −2.5 × −4.5 b −11.25 ÷ −4.5 c −4.5 × 1.25
4 Solve these equations.
a x + 17.8 = 14.2 b y − 3.4 = −9.7 c 3y + −4.9 = 2.6

5 Look at the statement in the box. Write a similar statement for each number.
a 111 b 333 c 111 d 3 333 4 < 19 < 5

6 a Estimate 200 to the nearest whole number.
b Estimate 200 to the nearest whole number.
3
7 Choose the number that is closest to 250.
14.9 15.1 15.4 15.8 16.2

3
8 Choose the number that is closest to 550 .
7.6 7.8 8.2 8.5 8.8
3
9 Show that 1000 is more than three times 1000 .
10 Write each of these numbers as a decimal.
a 2 b 4 c 2 d 5 −2
−1
−1
−2
11 Write each number as a fraction.
a 3 b 2 c 6 d 12 −2
−2
−3
−1
12 Write each expression as a single number.
a 2 + 2 + 2 b 10 + 10 + 10 3
2
0
−2
0
−1
13 Write each number as a power of 10.
a 100 b 1000 c 0.01 d 0.001 e 1
14 Write each expression as a single power.
a 9 × 9 b 8 × 8 c 7 ÷ 7 d a ÷ a e n ÷ n 2
2
3
2
2
1
3
5
15 Simplify each expression.
a 2 ÷ 2 b 15 × 15 c 20 ÷ 20 d 5 ÷ (5 × 5 )
2
5
0
3
4
2
3
1
5
16 Write each expression as a power of a.
a a × a b a ÷ a c a × a d a × a e a ÷ a 4
4
2
2
0
1
2
2
4
4
17 Simplify each expression.
2
2
a 4 × 4 4 b a 2 c n × n 1
3
4 3 a × a n 2
18 Find the value of n in each of these equations.
a 4 = 1 b 5 = 0.2 c n × n = 343 d 2 ÷ 2 = 4
n
2
4
n
n
14 1 Integers, powers and roots