GCSE Maths Foundation Mock Paper 1 (Non-calculator)
A free 80-mark GCSE Maths Foundation non-calculator mock paper. Timed, marked instantly, with a worked answer for every question.
- Time allowed
- 90 minutes
- Total marks
- 80
- Tier
- Foundation
- Calculator
- Not allowed
Instructions
- You may not use a calculator.
- Answer every question. Write only your final answer in each box.
- Fractions can be typed like 3/4. Indices can be typed like 10^4.
- Each answer is marked on your final answer only. In the real exam you can also earn method marks, so always show your working on paper.
Suitable for AQA, Edexcel, OCR Foundation tier. Written by MockNine; not an official exam board paper.
Your result
| Topic | Progress | Marks |
|---|
The estimated grade uses typical Foundation tier boundaries. Real boundaries are set after each exam and change every year. Scroll down to see a worked answer under every question.
1
Write 0.7 as a fraction.
2
Write 3/8 as a decimal.
3
Which of these numbers is prime?
4
Round 3.846 to 1 decimal place.
5
Change 2.5 km into metres.
6
Work out 7 − 3 × 2²
7
Work out 36 × 24
8
Work out 15% of 60.
9
Work out √81 + ∛64
10
Simplify 5a + 3b − 2a + b
11
Solve 4x − 7 = 21
12
A bus leaves at 09:47. The journey takes 1 hour 38 minutes. At what time does the bus arrive? Give your answer using the 24-hour clock.
13
Here are five numbers: 4, 7, 7, 9, 13
(a)Work out the mean.
(b)Write down the mode.
(c)Work out the range.
14
A triangle has a base of 10 cm and a perpendicular height of 6 cm. Work out its area.
15
Two angles in a triangle are 52° and 71°. Work out the size of the third angle.
16
Work out 2/3 + 1/4. Give your answer as a fraction.
17
Write the ratio 72 : 48 in its simplest form.
18
Amir and Bella share £45 in the ratio 2 : 3
(a)How much does Amir get?
(b)How much does Bella get?
19
A recipe for 4 people uses 300 g of flour. How much flour is needed for 10 people?
20
(a)Expand 3(x + 4)
(b)Factorise 6y − 15
21
a = 3 and b = −2. Work out the value of 4a − 5b
22
Here are the first four terms of a sequence: 5, 8, 11, 14
(a)Find an expression for the nth term.
(b)Work out the 20th term.
23
A bag contains 3 red counters, 5 blue counters and 2 green counters. One counter is taken at random.
(a)What is the probability that it is blue? Give your answer as a fraction.
(b)What is the probability that it is not green? Give your answer as a fraction.
24
The probability of winning a game is 0.15. Sam plays the game 200 times. Work out an estimate for the number of times Sam wins.
25
(a)Find the highest common factor (HCF) of 24 and 36.
(b)Find the lowest common multiple (LCM) of 6 and 8.
26
A car travels 150 km in 2.5 hours. Work out its average speed.
27
A cuboid measures 5 cm by 4 cm by 3 cm. Work out its volume.
28
Work out the size of one interior angle of a regular hexagon.
29
The price of a jacket goes up from £80 to £92. Work out the percentage increase.
30
Write 45 000 in standard form.
31
n is an integer and −2 < n ≤ 3. Write down all the possible values of n, separated by commas.
32
A circle has a radius of 5 cm. Work out its area. Give your answer in terms of π.
33
Solve 5(x − 2) = 3x + 6
34
A straight line passes through the points (1, 3) and (4, 12). Work out the gradient of the line.
35
The diagram shows a right-angled triangle. The two shorter sides are 6 cm and 8 cm. Work out the length of the longest side, x.
36
£200 is invested at 10% compound interest per year. Work out the value of the investment after 2 years.
37
In a sale, all prices are reduced by 20%. A bag costs £48 in the sale. What was its price before the sale?
38
Solve the simultaneous equations: x + y = 10 and x − y = 4
(a)Find the value of x.
(b)Find the value of y.
END OF QUESTIONS