GCSE Maths Foundation Paper 1: non-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, no calculator. 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
Write 0.7 as a fraction.[1 mark]
2 Question 2
Write 25 as a percentage.[1 mark]
3 Question 3
Work out −6 + 13.[1 mark]
4 Question 4
Work out 20 − 3 × 4.[1 mark]
5(a) Question 5(a)
Work out 48 × 23. Show your working.[2 marks]
5(b) Question 5(b)
Work out 672 ÷ 8. Show your working.[2 marks]
6(a) Question 6(a)
Simplify 4a + 3b − a + 5b.[2 marks]
6(b) Question 6(b)
Expand 4(x + 6).[1 mark]
6(c) Question 6(c)
Factorise 5x − 20.[1 mark]
7(a) Question 7(a)
Solve x4 = 7.[1 mark]
7(b) Question 7(b)
Solve 3x − 5 = 16.[2 marks]
8 Question 8
Work out the value of 4p − 3q when p = 5 and q = 2.[2 marks]
9 Question 9
Write down an expression for the nth term of 4, 9, 14, 19, ...[2 marks]
10 Question 10
Three angles meet at a point. Two of them are 120° and 95°. Work out the third angle.[2 marks]
11(a) Question 11(a)
A rectangle is 9 cm long and 6 cm wide. Work out its area.[1 mark]
11(b) Question 11(b)
Work out the perimeter of the same rectangle (9 cm by 6 cm).[1 mark]
12 Question 12
A parallelogram has base 8 cm and perpendicular height 5 cm. Work out its area.[2 marks]
13 Question 13
A cube has sides of 4 cm. Work out its volume.[1 mark]
14 Question 14
A fair six-sided dice is rolled. Write down the probability that it lands on 1 or 6.[1 mark]
Here are some numbers: 3, 5, 5, 7, 8, 5, 2.
15(a) Question 15(a)
Work out the mean.[2 marks]
15(b) Question 15(b)
Write down the mode.[1 mark]
15(c) Question 15(c)
Work out the range.[1 mark]
16(a) Question 16(a)
Share £60 in the ratio 1 : 4.[2 marks]
16(b) Question 16(b)
Write the ratio 24 : 36 in its simplest form.[1 mark]
17 Question 17
Work out 30% of 90.[2 marks]
18(a) Question 18(a)
Work out 3⁴.[1 mark]
18(b) Question 18(b)
Work out √81.[1 mark]
19 Question 19
Round 2648 to the nearest hundred.[1 mark]
20 Question 20
Find the lowest common multiple (LCM) of 6 and 10.[2 marks]
21(a) Question 21(a)
Work out 23 + 1/4. Give your answer as a fraction.[2 marks]
21(b) Question 21(b)
Work out 34 × 2/5. Give your answer in its simplest form.[2 marks]
21(c) Question 21(c)
Work out 23 ÷ 4/9. Give your answer in its simplest form.[2 marks]
22 Question 22
Work out 3.6 − 1.45.[1 mark]
23 Question 23
A coat costs £80. In a sale it is 25% off. Work out the sale price.[2 marks]
24 Question 24
A train travels 240 km in 2 hours. Work out its average speed in km/h.[2 marks]
25 Question 25
The point (3, 2) is reflected in the y-axis. Write down the coordinates of its image.[1 mark]
26 Question 26
Work out the sum of the interior angles of a pentagon.[1 mark]
27 Question 27
Solve 2x + 1 ≤ 9.[2 marks]
28 Question 28
Write 76 000 in standard form.[1 mark]
29 Question 29
Solve the simultaneous equations x + 2y = 8 and x − y = 2. Show your working.[3 marks]
30 Question 30
Use a ruler and compasses to construct triangle ABC with AB = 8 cm, BC = 6 cm and AC = 7 cm. Show your construction arcs.[2 marks]
31 Question 31
A right-angled triangle has shorter sides 5 cm and 12 cm. Work out the length of the longest side.[3 marks]
32 Question 32
Write 84 as a product of its prime factors.[2 marks]
33 Question 33
A price goes up from £40 to £46. Work out the percentage increase.[2 marks]
34 Question 34
Simplify y⁵ × y³.[1 mark]
35 Question 35
In a group of 30 people, 18 like tea, 15 like coffee and 7 like both. How many like neither?[3 marks]
36 Question 36
Two parallel lines are crossed by a straight line. One of the corresponding angles is 64°. Work out the other corresponding angle, x.[2 marks]
37 Question 37
I think of a number. I multiply it by 3 and add 7. The answer is 34. Work out the number I thought of.[3 marks]
38 Question 38
A triangle has base 10 cm and height 7 cm. Work out its area.[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.