GCSE Maths Foundation Paper 2: calculator
80 marks · 90 minutes · Foundation tier · method marks for your working · estimated grade · step-by-step answers
How it works
- Like the real AQA 8300 style paper: 80 marks, 90 minutes, a calculator is allowed (one is on the screen). Answer all the questions. Solve it right here: no sign-up.
- Each part shows its marks, like [2 marks]. Type your answer and show your working, one line at a time: if the answer is wrong, right working still earns method marks, as in the exam. In all calculations, show clearly how you work out your answer.
- 1 part needs a drawing or words (a construction, a graph, a proof): do it on paper. At the end you mark it yourself with the mark scheme.
- Use Back and Next, or the question list at the bottom. Mark for review the ones to look at again. The timer counts down (you can hide it).
- At the end: your marks out of 80, an estimated grade, your marks in each area, and every part marked, with your working line by line, the right answer and its step-by-step solution.
The grade is only an estimate: real grade boundaries change every year and use all the papers together. Foundation papers lead to grades 1 to 5, Higher papers to 3 to 9. Your answers are kept in this browser, so you can close the page and come back.
1 Question 1
Round 7.4851 to 2 decimal places.[1 mark]
2 Question 2
Work out (4.8 + 3.6) ÷ 2.1.[1 mark]
3 Question 3
Write 0.004726 correct to 2 significant figures.[1 mark]
4(a) Question 4(a)
Work out 17.5% of £240.[2 marks]
4(b) Question 4(b)
40% of a number is 26. Work out the number.[2 marks]
5 Question 5
Ellie puts £1200 in a bank account that pays 2% simple interest each year. How much interest does she get after 5 years?[3 marks]
6 Question 6
Raj invests £3000 at 2.5% compound interest per year. Work out the value of his investment after 4 years.[3 marks]
7 Question 7
A piece of wood has mass 450 g and volume 600 cm³. Work out its density.[2 marks]
8 Question 8
A car travels at 64 km/h. How many hours does it take to travel 208 km?[2 marks]
9(a) Question 9(a)
A circle has radius 7.5 cm. Work out its area.[2 marks]
9(b) Question 9(b)
A circle has diameter 18 cm. Work out its circumference.[2 marks]
10 Question 10
A cylinder has radius 3 cm and height 12 cm. Work out its volume.[2 marks]
11 Question 11
A right-angled triangle has shorter sides 7 cm and 8 cm. Work out the length of the hypotenuse.[3 marks]
12 Question 12
In a right-angled triangle the hypotenuse is 15 cm and one angle is 40°. Work out the side opposite the 40° angle.[3 marks]
13 Question 13
A prism has a cross-section of area 18 cm² and length 7 cm. Work out its volume.[2 marks]
14 Question 14
£1 = $1.27. Change £300 into dollars.[2 marks]
15 Question 15
Shop A sells 6 pens for £4.20. Shop B sells 10 pens for £6.50. Which shop is the better value? Show how you decide.[3 marks]
16 Question 16
A length is 36 cm, rounded to the nearest centimetre. Write down the error interval for the length.[2 marks]
17 Question 17
The table shows how long, t minutes, 25 people waited: 0 < t ≤ 5: 6, 5 < t ≤ 10: 10, 10 < t ≤ 15: 7, 15 < t ≤ 20: 2. Work out an estimate of the mean waiting time.[3 marks]
18 Question 18
A two-way table: boys, 16 say yes and 4 say no; girls, 12 say yes and 8 say no. One person is chosen at random. Work out the probability they said yes.[2 marks]
19 Question 19
12 out of 40 students walk to school. Estimate how many of 600 students walk to school.[2 marks]
20 Question 20
Solve 6(x − 2) = 2x + 8.[3 marks]
21 Question 21
Make w the subject of A = lw.[2 marks]
22 Question 22
Factorise x² + 7x + 12.[2 marks]
23 Question 23
Two triangles are similar. The small one has sides 3 cm, 4 cm and 5 cm. The large one has sides 6 cm, 8 cm and x cm. Work out x.[2 marks]
24 Question 24
Work out the size of one exterior angle of a regular decagon (10 sides).[2 marks]
25 Question 25
The point (4, −2) is enlarged by scale factor 2, centre the origin. Write down the coordinates of its image.[1 mark]
26 Question 26
Complete a table of values for y = 3x − 1 for x = −1, 0, 1, 2, 3 and draw the graph of y = 3x − 1.[3 marks]
27 Question 27
Sam and Tia share £450 in the ratio 4 : 5. How much does Tia get?[2 marks]
28 Question 28
The price of a phone falls from £350 to £315. Work out the percentage decrease.[2 marks]
29 Question 29
Work out (2.4 × 10⁴) × (3 × 10⁵). Give your answer in standard form.[2 marks]
30 Question 30
A map has a scale of 1 cm to 2.5 km. Two villages are 8 cm apart on the map. Work out the real distance between them.[2 marks]
31 Question 31
The sequence 7, 13, 19, 25, ... continues in the same way. Work out the 25th term.[2 marks]
32 Question 32
A trapezium has parallel sides 7.5 cm and 12 cm and height 6 cm. Work out its area.[3 marks]
33 Question 33
In a club of 30 people, 18 like tea, 12 like coffee and 5 like both. One person is chosen at random. Work out the probability they like tea only.[2 marks]
34 Question 34
A ladder makes an angle of elevation of 70° with the ground and its foot is 1.2 m from a wall. How high up the wall does it reach?[3 marks]
35 Question 35
A coin is thrown 60 times. It lands on heads 33 times. Work out the relative frequency of heads.[2 marks]
Steply practice papers are our own questions in the style of GCSE Mathematics papers in England (layout and timing as AQA 8300); they are not official and not endorsed by AQA or any exam board. Official past papers: your exam board's website.