Page 191 - Cambridge+Checkpoint+Mathematics+Coursebook+9

End-of-year review

1 Work these out.
a 6 + −5 b −4 − −6 c 3 × −4 d −18 ÷ 6
2 Copy and complete each statement.
1
a 6 × 6 = 6 b 8 ÷ 8 = 8 c 9 = d 15 =
−1
2
5
7
3
0
3 a The first term of a sequence is 4 and the term-to-term rule is ‘add 6’.

Write down the first four terms of this sequence.

b A sequence has the position-to-term rule: term = 3 × position number − 2.

Write down the first four terms of this sequence.
4 Jim thinks of a number.
He adds 5 to the number then multiplies the result by 7.
a Write this as a function using a mapping.
The answer Jim gets is 91.
b Use inverse functions to work out the number Jim thought of.
Show all your working.
5 Work these out mentally.
a 9 × 0.2 b 12 × 0.04 c 6 ÷ 0.2
d 24 ÷ 0.06 e 0.4 × 0.8 f 0.4 ÷ 0.02
6 Work these out.
a 26 × 10 b 0.07 × 10 c 24 ÷ 10 d 0.8 ÷ 10 −2
3
4
−1
7 Round each number to the given degree of accuracy.
a 15.264 (1 d.p.) b 0.0681 (1 s.f.) c 45 776 (2 s.f.)
8 Write the correct sign, =, < or >, that goes in the box between the expressions.
a 20 – 3 × 5 1 + 45 b 40 – 5 3(38 – 33)
2
15
9 A green gold bracelet weighs 56 g.
The bracelet is made from 75% gold, 20% silver and 5% copper.
a What is the mass of the gold in the bracelet?
b What is the mass of the copper in the bracelet?
10 A motorist drives at an average speed of 90 km/h.
1
How far does he travel in 2 hours?
2
11 A 500 g bag of pasta costs $0.82.
A 2 kg bag of the same pasta costs $3.30.
Which bag is the better value for money?
Show your working. 500 g 2 kg
12 Calculate:
a the exterior angle of a regular pentagon
b the interior angle of a regular pentagon.

190 End-of-year review