Total marks: 80 · Duration: 90 minutes · Tier: Foundation
Instructions to candidates
- Use black ink or black ball-point pen. Draw diagrams in pencil.
- Answer all questions.
- You must answer the questions in the spaces provided.
- In all calculations, show clearly how you work out your answer.
- You may not use a calculator.
- Diagrams are not accurately drawn, unless otherwise indicated. Where a question describes a shape in words, you may find it helpful to sketch it.
Information
- The marks for questions are shown in brackets.
- The maximum mark for this paper is 80.
- Where a question asks you to circle your answer, choose one of the four options.
Paper
1 Circle the number that is a multiple of 8 and a factor of 48.
16 12 32 6
[1 mark]
2 Circle 0.3 written as a fraction.
1/3 3/10 3/100 30/10
[1 mark]
3 Circle the value of 4² + 3
11 14 19 64
[1 mark]
4 Circle the size of each angle in an equilateral triangle.
180° 90° 60° 45°
[1 mark]
5 (a) Round 3456 to the nearest hundred.
[1 mark]
5 (b) Work out 7.2 × 4
[1 mark]
5 (c) Work out 3.6 ÷ 0.4
[2 marks]
6 Cinema tickets cost £8.50 for an adult and £5.25 for a child.
Mr and Mrs Okafor buy tickets for themselves and their 3 children. They pay with two £20 notes.
How much change should they get?
[3 marks]
7 (a) Simplify 4p + 3q − p + 2q
[2 marks]
7 (b) Simplify 6a × 2b
[1 mark]
7 (c) Solve x/4 = 7
[1 mark]
8 A is the point (1, 3), B is the point (5, 3) and C is the point (5, 7).
8 (a) ABCD is a square. Write down the coordinates of D.
[1 mark]
8 (b) Work out the perimeter of the square. Each unit on the axes is 1 cm.
[1 mark]
9 (a) Work out 3/5 of 45
[1 mark]
9 (b) Work out 2/3 − 1/5. Give your answer as a fraction.
[2 marks]
10 (a) Work out 35% of 160
[2 marks]
10 (b) Write 18 out of 24 as a percentage.
[2 marks]
11 A drink is made by mixing orange juice and water in the ratio 2 : 7.
How much orange juice is in 450 ml of the drink?
[2 marks]
12 Here are the first four terms of a sequence.
5 9 13 17
12 (a) Write an expression, in terms of n, for the nth term of the sequence.
[2 marks]
12 (b) Is 101 a term in the sequence? Show how you decide.
[2 marks]
13 In triangle ABC, angle A = 2x, angle B = 3x and angle C = 40°.
Work out the value of x.
[3 marks]
14 (a) A triangle has a base of 10 cm and a perpendicular height of 6 cm. Work out its area.
[1 mark]
14 (b) A circle has a radius of 4 cm. Work out its area. Give your answer in terms of π.
[2 marks]
15 (a) A fair six-sided dice is rolled. Work out the probability that it lands on a number greater than 4.
[1 mark]
15 (b) Two fair coins are thrown. List all the possible outcomes.
[2 marks]
15 (c) Work out the probability of getting at least one head.
[1 mark]
16 A car travels 150 km in 2½ hours.
16 (a) Work out its average speed.
[2 marks]
16 (b) At the same average speed, how long would it take to travel 210 km? Give your answer in hours and minutes.
[2 marks]
17 (a) Write 90 as a product of its prime factors.
[2 marks]
17 (b) Work out the lowest common multiple (LCM) of 90 and 24.
[2 marks]
18 Solve 4(x − 3) = 2x + 6
[3 marks]
19 Work out an estimate for the value of
(19.8 × 4.1) ÷ 0.52
[3 marks]
20 (a) Simplify 3⁴ × 3². Give your answer as a power of 3.
[1 mark]
20 (b) Write down the value of 10⁰
[1 mark]
20 (c) Simplify 2⁵ ÷ 2⁸. Give your answer as a power of 2.
[1 mark]
21 A ladder 13 m long leans against a vertical wall. The foot of the ladder is 5 m from the wall on level ground.
How far up the wall does the ladder reach?
[2 marks]
22 (a) Factorise x² − 5x + 6
[2 marks]
22 (b) Expand and simplify (x + 6)(x − 4)
[2 marks]
23 In a sale, all prices are reduced by 25%. The sale price of a jacket is £120.
Work out the price of the jacket before the sale.
[3 marks]
24 (a) Solve 3x + 2 ≤ 17
[2 marks]
24 (b) n is an integer and −2 ≤ n < 3. Write down all the possible values of n.
[1 mark]
25 Coffee is sold in two sizes of jar.
Small jar: 300 g for £2.40 Large jar: 500 g for £3.75
Which jar is better value for money? You must show your working.
[3 marks]
26 (a) Write 4.2 × 10⁵ as an ordinary number.
[1 mark]
26 (b) Work out (3 × 10⁴) × (2 × 10³). Give your answer in standard form.
[1 mark]
27 Here are five numbers.
4 7 7 9 13
27 (a) Work out the mean.
[1 mark]
27 (b) Work out the range.
[1 mark]
27 (c) Write down the median.
[1 mark]
28 (a) Work out the volume of a cuboid that measures 5 cm by 4 cm by 3 cm.
[1 mark]
28 (b) A box is a cuboid measuring 6 cm by 4 cm by 4 cm. How many cubes of side 2 cm will fit exactly inside the box?
[2 marks]
END OF QUESTIONS — TOTAL: 80 MARKS