Total marks: 80 · Duration: 90 minutes · Tier: Foundation
Instructions to candidates
- Use black ink or ball-point pen.
- Answer all questions.
- You must show all your working. Answers given without working may not gain full marks.
- Calculators may not be used.
- Diagrams are NOT accurately drawn. Where a question describes a shape in words, you may find it helpful to sketch it before you start.
- The total mark for this paper is 80. The marks for each question are shown in brackets.
Information
- Questions get harder as the paper goes on. If you get stuck, move on and come back later.
- Read each question carefully and check your answers if you have time at the end.
Paper
1. (a) Write 0.7 as a percentage.
(1 mark)
(b) Write 3/20 as a decimal.
(1 mark)
2. Write these numbers in order of size. Start with the smallest number.
0.35 3/8 0.3 1/3
(2 marks)
3. (a) Work out 4.6 × 100
(1 mark)
(b) Round 3847 to the nearest hundred.
(1 mark)
(c) Work out 15% of 240
(2 marks)
4. (a) Simplify 5a + 3b − 2a + b
(2 marks)
(b) Simplify m × m × m
(1 mark)
(c) Expand 4(2x − 3)
(1 mark)
5. (a) A bus leaves the bus station at 09 45. The journey takes 1 hour 35 minutes.
At what time does the bus arrive?
(1 mark)
(b) Train tickets cost £12.50 for an adult and £7.80 for a child.
Mr Khan buys tickets for 2 adults and 3 children. He pays with a £50 note.
How much change should he get?
(3 marks)
6. (a) Two of the angles in a triangle are 47° and 68°.
Work out the size of the third angle.
(1 mark)
(b) An isosceles triangle has one angle of 40°.
Lily says, "The other two angles must both be 70°."
Is Lily correct? You must explain your answer.
(2 marks)
7. Here are the first four terms of an arithmetic sequence.
4 11 18 25
(a) Write down the next term of the sequence.
(1 mark)
(b) Find an expression, in terms of n, for the nth term of the sequence.
(2 marks)
(c) Is 100 a term in this sequence? You must show how you get your answer.
(2 marks)
8. Ravi and Sophie share £72 in the ratio 5 : 3.
Work out how much money each of them gets.
(2 marks)
9. A fair spinner can land on red, blue, green or yellow. The table shows the probability that it lands on each colour.
| Colour | Red | Blue | Green | Yellow |
|---|---|---|---|---|
| Probability | 0.25 | 0.4 | 0.15 |
(a) Work out the probability that the spinner lands on green.
(2 marks)
(b) The spinner is spun 80 times.
Work out an estimate for the number of times it lands on blue.
(2 marks)
10. A rectangle is 12 cm long and 7 cm wide.
A square has the same perimeter as the rectangle.
Work out the area of the square.
(3 marks)
11. (a) Solve 3x + 7 = 22
(2 marks)
(b) Solve 5(y − 2) = 3y + 4
(3 marks)
12. (a) Work out 2/3 + 1/4
(2 marks)
(b) Work out 2½ × 3/5
Give your answer as a mixed number in its simplest form.
(2 marks)
13. A shop sells yoghurts in two sizes of pack.
Pack A: 6 yoghurts for £2.70 Pack B: 10 yoghurts for £4.20
Which pack is the better value for money? You must show how you get your answer.
(3 marks)
14. Here is a recipe for 12 biscuits.
| Ingredient | Amount for 12 biscuits |
|---|---|
| Butter | 150 g |
| Flour | 225 g |
| Sugar | 90 g |
(a) Work out how much flour is needed to make 20 biscuits.
(2 marks)
(b) Maria has 400 g of butter and plenty of flour and sugar.
What is the greatest number of biscuits she can make?
(2 marks)
15. 25 people were asked how many pets they have. The table shows the results.
| Number of pets | Frequency |
|---|---|
| 0 | 8 |
| 1 | 10 |
| 2 | 5 |
| 3 | 2 |
(a) Write down the mode.
(1 mark)
(b) Work out the mean number of pets.
(3 marks)
16. Complete the table of values for y = 2x − 1
| x | −1 | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|
| y | −1 | 5 |
(2 marks)
17. (a) Write 84 as a product of its prime factors.
(2 marks)
(b) Work out the highest common factor (HCF) of 84 and 60.
(2 marks)
18. (a) Work out the value of 5³
(1 mark)
(b) Simplify 7⁵ × 7³. Give your answer as a power of 7.
(1 mark)
(c) Write 36 000 in standard form.
(1 mark)
19. Work out an estimate for the value of
(48.7 × 6.12) ÷ 0.49
You must show how you get your estimate.
(3 marks)
20. A right-angled triangle has two shorter sides of length 6 cm and 8 cm.
Work out the length of the longest side.
(2 marks)
21. In a sale, all prices are reduced by 20%. The sale price of a coat is £64.
Work out the price of the coat before the sale.
(3 marks)
22. A fish tank is in the shape of a cuboid. It is 40 cm long, 30 cm wide and 25 cm high. The tank is empty.
Water flows into the tank at a rate of 2 litres every minute.
How many minutes does it take to fill the tank completely?
[1 litre = 1000 cm³]
(3 marks)
23. n is an integer.
−3 < 2n + 1 ≤ 9
Write down all the possible values of n.
(3 marks)
24. Expand and simplify (x + 5)(x − 3)
(2 marks)
25. Factorise x² + 7x + 12
(2 marks)
TOTAL FOR PAPER: 80 MARKS