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£2.20
1. Tim buys one fibre tip pen and one gel pen. Gel pen
Fibre tip
£2.05
He pays with a £5 note.
(a) How much change should he get?
Roller ball £2.60
Mrs Holt has £20 to spend.
(b) Work out the greatest number of roller ball pens she can buy.
Mr Davis buys 20 gel pens. 25% of the 20 gel pens do not work.
(c) Work out 25% of 20
a.) 2.05 + 2.20 = 4.25
5 - 4.25 = 0.75p
b.) 20 ÷ 2.60 = 7.6
She can buy 8 pens
c.) 1/4 of 20 = 5
2. Imran plays a game of chess with his friend.
A game of chess can be won or drawn or lost.
The probability that Imran wins the game of chess is 0.3
The probability that Imran draws the game of chess is 0.25
Work out the probability that Imran loses the game of chess.
0.3 + 0.25 = 0.28
1- 0.28 = 0.72
3.
(a) Solve 4(y+2)=6
(b) Make h the subject of the formula
f=g+3h
a.) 4y + 2 = 6
4y = 4
y=1
b.) f – g = 3h
h=f–g÷3
4. The equation x3 + 10x = 51 has a solution between 2 and 3.
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
x
2.5
2.7
2.8
2.9
x3 + 10 x
40.625
46.683
49.952
53.389
The solution is 2.9
Too low
Too low
Too low
Too high
5. Joanna made a list of the ages of the children in a
playgroup.
4 3 1 4 2 4 4 2 1 2
(a) Find the median age of the children in the play group.
(b) Find the range of the ages of the children in the
playgroup.
a.) 2 and 4
b.) 4 - 1 = 3
6. Three boys shared £48 in the ratio 5:4:3
Daniel received the smallest amount.
Work out the amount Daniel received.
5 + 4 + 3 = 12
48 ÷ 12 = 4
Daniel received 4 x 3 = 12
7. Write an expression for the
perimeter of the trapezium.
Write your answer as simply q
as possible.
3p
q
6p
3p + q + 6p + q
= 9p + 2q
8. Angela, Barbara and Carol each collect pop star cards.
Angela has p cards.
Barbara has twice as many cards as Angela.
(a) Write down an expression for the number of cards that
Barbara has.
Carol has 7 cards less than Angela.
(b) Write down an expression for the number of cards that
Carol has.
a.) Barbara has 2p
b.) 7 - p
9. There are 3 red pens, 4 blue pens and 5 black
pens in a box.
Sameena takes a pen, at random, from the box.
Write down the probability that she takes a black
pen.
5/7
10. The radius of this circle is 8 cm.
Work out the circumference of the
circle.
Give your answer correct to 2
decimal places.
C = πd
= 3.142 x 8
= 25.136
= 25.13 (to 2 dp)
8cm
11. Use your calculator to work out
22.4 x 14.5
8.5 x 3.2
Write down all the figures on your calculator display.
122.2776471
12. (a) Andy sells CDs.
He sells each CD for £8.80 plus VAT at 17 %.
How much VAT does he pay?
(b) A car tyre costs £80 plus VAT at 17 %.
Work out the total cost of the tyre.
a.) 17% of 8.80 = £1.496
b.) 17% of £80 = £13.6
£80 + £13.6 = £93.60
13. A year ago, Daniel’s height was 1.24 metres.
Daniel’s height has now increased by 9.5%.
Work out Daniel’s height now.
Give your answer to an appropriate degree of accuracy.
9.5% of 1.24 = 0.1178
Daniels height = 1.24 + 0.1178
= 1.3578 or 1.36m
14. S = 1/2 at2
Find the value of S when t = 3 and
a =1/4
2
3
S = 0.5 x 1/4 x
S = 0.5 x 0.25 x 6
S = 0.75
A
15. ABC is a right-angled triangle.
7cm
AB = 7 cm,
AC = 11 cm.
Work out the length of BC.
B
Give your answer correct to 2 decimal places.
2
11
2
7
+
= 121 + 49= 171
171 ÷ 4 = 42.75
11cm
C
ANSWERS
£2.20
1. Tim buys one fibre tip pen and one gel pen. Gell pen
Fibre tip
£2.05
He pays with a £5 note.
(a) How much change should he get?
Roller ball £2.60
Mrs Holt has £20 to spend.
(b) Work out the greatest number of roller ball pens she can buy.
Mr Davis buys 20 gel pens. 25% of the 20 gel pens do not work.
(c) Work out 25% of 20
a.) 2.05 + 2.20 = 4.25
5 - 4.25 = £0.75p
b.) 20 ÷ 2.60 = 7.6
She can buy 7 pens
c.) 1/4 of 20 = 5
2. Imran plays a game of chess with his friend.
A game of chess can be won or drawn or lost.
The probability that Imran wins the game of chess is 0.3
The probability that Imran draws the game of chess is 0.25
Work out the probability that Imran loses the game of chess.
0.3 + 0.25 = 0.55
1- 0.55 =0.45
3.
(a) Solve 4(y+2) = 12
(b) Make h the subject of the formula f=g+3h
a.) 4y + 8 = 12
4y = 4
y=1
b.) f – g = 3h
h = (f – g) ÷ 3
4. The equation x³ + 10x = 51 has a solution between 2 and 3.
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
x
2.5
2.7
2.8
2.9
x³ + 10 x
40.625
46.683
49.952
53.389
Too low
Too low
Too low
Too high
The solution is 2.8
✘
5. Joanna made a list of the ages of the children in a
playgroup.
4314244212
(a) Find the median age of the children in the play group.
(b) Find the range of the ages of the children in the
playgroup.
1122234444
a.) 2.5
b.) 4 - 1 = 3
6. Three boys shared £48 in the ratio 5:4:3
Daniel received the smallest amount.
Work out the amount Daniel received.
5 + 4 + 3 = 12
48 ÷ 12 = 4
Daniel received 4 x 3 = 12
7. Write an expression for the
perimeter of the trapezium.
Write your answer as simply q
as possible.
3p
q
6p
3p + q + 6p + q
= 9p + 2q
8. Angela, Barbara and Carol each collect pop star cards.
Angela has p cards.
Barbara has twice as many cards as Angela.
(a) Write down an expression for the number of cards that
Barbara has.
Carol has 7 cards less than Angela.
(b) Write down an expression for the number of cards that
Carol has.
a.) Barbara has 2p
b.) p - 7
9. There are 3 red pens, 4 blue pens and 5 black
pens in a box.
Sameena takes a pen, at random, from the box.
Write down the probability that she takes a black
pen.
5/12
10. The radius of this circle is 8 cm.
Work out the circumference of the
circle.
Give your answer correct to 2
decimal places.
C = πd
= 3.142 x 16
= 50.272
= 50.27(to 2 dp)
8cm
11. Use your calculator to work out
22.4 × 14.5
8.5 × 3.2
Write down all the figures on your calculator display.
(22.4 x 14.5)÷(8.5 x 3.2)
= 11.94117647
12. (a) Andy sells CDs.
He sells each CD for £8.80 plus VAT at 17 %.
How much VAT does he pay?
(b) A car tyre costs £80 plus VAT at 17 %.
Work out the total cost of the tyre.
a.) 17% of 8.80 = £1.50
b.) 17% of £80 = £13.6
£80 + £13.6 = £93.60
13. A year ago, Daniel’s height was 1.24 metres.
Daniel’s height has now increased by 9.5%.
Work out Daniel’s height now.
Give your answer to an appropriate degree of accuracy.
9.5% of 1.24 = 0.1178
Daniels height = 1.24 + 0.1178
= 1.3578 or 1.36m
14. S = ½ at²
Find the value of S when t = 3 and a = ¼
S = 0.5 x ¼ x 3²
S = 0.5 x 0.25 x 9
S = 1.125
A
15. ABC is a right-angled triangle.
7cm
AB = 7 cm,
AC = 11 cm.
Work out the length of AC.
B
Give your answer correct to 2 decimal places.
11cm
11² - 7²
= 121 - 49= 72
√72=8.48528... = 8.49
C