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 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 value of √196
98 16 14 13
[1 mark]
2 Circle 15% written as a decimal.
15 1.5 0.015 0.15
[1 mark]
3 Circle the number of faces of a triangular prism.
6 9 3 5
[1 mark]
4 Circle the best estimate of the height of a classroom door.
0.2 m 2 m 20 m 200 m
[1 mark]
5 (a) Work out 4.7² − √30.25. Write down all the figures on your calculator display.
[2 marks]
5 (b) Round your answer to part (a) to 1 decimal place.
[1 mark]
6 Kemi's phone contract costs £15 per month. This includes 200 texts. Each text after the first 200 costs 4p.
In March, Kemi sent 320 texts. Work out her bill for March.
[3 marks]
7 (a) 1 kg = 2.2 pounds (lb). Change 15 lb into kilograms. Give your answer to 2 decimal places.
[2 marks]
7 (b) 5 miles = 8 km. Change 60 miles into kilometres.
[2 marks]
8 A train leaves at 14 38 and arrives at 17 15.
How long does the journey take? Give your answer in hours and minutes.
[2 marks]
9 A shape is made from a rectangle and a triangle. The rectangle is 12 cm long and 5 cm high. The triangle sits on top of the rectangle; its base is the full 12 cm top edge, and its perpendicular height is 4 cm.
Work out the total area of the shape.
[3 marks]
10 120 people were asked to choose their favourite drink.
| Drink | Frequency |
|---|---|
| Tea | 45 |
| Coffee | 35 |
| Juice | 25 |
| Water | 15 |
The results are to be shown in a pie chart. Work out the angle of the sector for each drink.
[3 marks]
11 (a) The price of a shirt goes up from £24 to £27.60. Work out the percentage increase.
[2 marks]
11 (b) A bike costs £350 before VAT. VAT is charged at 20%. Work out the price including VAT.
[2 marks]
12 Jo and Sam share £1350 in the ratio 4 : 5. Work out how much each person gets.
[2 marks]
13 A taxi firm uses the formula C = 25 + 0.3m, where C is the cost in pounds and m is the number of miles.
13 (a) Work out the cost of a 140-mile journey.
[2 marks]
13 (b) A journey costs £79. How many miles was it?
[2 marks]
14 A circular running track has a diameter of 70 m. Mo runs 4 laps.
Work out how far Mo runs. Give your answer to the nearest metre.
[3 marks]
15 A van is bought for £18 000. Its value decreases by 12% each year.
Work out the value of the van after 3 years.
[3 marks]
16 (a) A right-angled triangle has a hypotenuse of 15 cm. One of its angles is 32°. Work out the length of the side opposite the 32° angle.
[2 marks]
16 (b) Another right-angled triangle has an angle x. The side opposite x is 8 cm and the side adjacent to x is 11 cm. Work out the size of angle x.
[2 marks]
17 A rectangular field is 80 m long and 45 m wide.
17 (a) Work out the length of the diagonal of the field.
[2 marks]
17 (b) How much shorter is it to walk across the diagonal than along two sides of the field?
[1 mark]
18 A cylinder has a radius of 6 cm and a height of 20 cm.
Work out the volume of the cylinder. Give your answer in litres, to 2 decimal places.
[1 litre = 1000 cm³]
[3 marks]
19 A cyclist travels 18 km in 45 minutes. Work out her average speed in km/h.
[2 marks]
20 Solve the simultaneous equations
4x + y = 23 2x − y = 7
[3 marks]
21 Work out (3.2 × 10⁶) ÷ (8 × 10⁻²). Give your answer in standard form.
[2 marks]
22 A spinner can land on red, blue, green or yellow.
| Colour | Red | Blue | Green | Yellow |
|---|---|---|---|---|
| Probability | 0.35 | 0.2 | x | 2x |
22 (a) Work out the value of x.
[3 marks]
22 (b) The spinner is spun 200 times. Work out an estimate for the number of times it lands on yellow.
[2 marks]
23 The mass, m kg, of a bag of rice is 3.7 kg, correct to 1 decimal place.
Write down the error interval for m.
[2 marks]
24 Expand and simplify (2x + 3)(x − 4)
[2 marks]
25 Gold has a density of 19.3 g/cm³. A gold ring has a volume of 0.42 cm³.
Work out the mass of the ring.
[2 marks]
26 A map uses a scale of 1 cm to 2.5 km. Two towns are 7.2 cm apart on the map.
Work out the real distance between the towns.
[2 marks]
27 After a 15% price increase, a game costs £69.
Work out the price of the game before the increase.
[3 marks]
28 It takes 8 taps 9 hours to fill a pool. All the taps fill at the same rate.
How long would it take 6 taps to fill the pool?
[2 marks]
29 The bearing of B from A is 125°. Work out the bearing of A from B.
[2 marks]
30 A rectangle measures 4 cm by 6 cm. It is enlarged by scale factor 2.5.
Work out the area of the enlarged rectangle.
[2 marks]
31 Write down the first three terms of the sequence with nth term n² − 2n.
[2 marks]
32 The mean of five numbers is 12. Four of the numbers are 9, 14, 10 and 15.
Work out the fifth number.
[1 mark]
END OF QUESTIONS — TOTAL: 80 MARKS