IGCSE Maths Core Paper 1: non-calculator
80 marks · 90 minutes · Core tier · method marks for your working · estimated grade · step-by-step answers
How it works
- Like the real Cambridge IGCSE 0580 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. If an answer is not exact, give it to 3 significant figures (angles to 1 decimal place). For π use the π key or 3.142.
- 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. Core papers lead to grades C to G, Extended papers to A* to E. Your answers are kept in this browser, so you can close the page and come back.
1 Question 1
Write 4827 correct to 2 significant figures.[1 mark]
2 Question 2
Work out 34 + 2/5. Give your answer as a fraction.[2 marks]
3(a) Question 3(a)
Write 0.375 as a fraction in its simplest form.[1 mark]
3(b) Question 3(b)
Write 720 as a percentage.[1 mark]
4 Question 4
Work out 15% of 60.[2 marks]
5 Question 5
Share $72 in the ratio 4 : 5.[2 marks]
6(a) Question 6(a)
Simplify 5x + 3y − 2x + y.[2 marks]
6(b) Question 6(b)
Expand 3(2x − 5).[1 mark]
6(c) Question 6(c)
Factorise completely 6x + 15.[1 mark]
7 Question 7
Solve 4x + 7 = 31.[2 marks]
8 Question 8
Solve 5(x − 2) = 3x + 6.[3 marks]
9 Question 9
Find the value of 5a − 2b when a = 3 and b = −4.[2 marks]
10 Question 10
Find the nth term of the sequence 7, 11, 15, 19, ...[2 marks]
Two angles lie on a straight line.
11(a) Question 11(a)
One angle is 118°. Find the other angle, x.[1 mark]
11(b) Question 11(b)
Two angles of a triangle are 52° and 71°. Find the third angle.[2 marks]
12(a) Question 12(a)
Find the sum of the interior angles of a hexagon.[1 mark]
12(b) Question 12(b)
Find the size of one exterior angle of a regular octagon.[2 marks]
13 Question 13
A triangle has base 12 cm and height 7 cm. Find its area.[2 marks]
14 Question 14
A trapezium has parallel sides 6 cm and 10 cm. The height is 4 cm. Find its area.[2 marks]
15 Question 15
A cuboid measures 5 cm by 4 cm by 3 cm. Find its volume.[2 marks]
16 Question 16
A fair dice is rolled. Find the probability that it shows a number more than 4.[1 mark]
Here are the marks of 6 students: 4, 7, 9, 3, 7, 6.
17(a) Question 17(a)
Find the mean.[2 marks]
17(b) Question 17(b)
Find the median.[1 mark]
17(c) Question 17(c)
Find the range.[1 mark]
18 Question 18
Write 45 000 in standard form.[1 mark]
19 Question 19
Find the gradient of the line through (1, 2) and (3, 8).[2 marks]
20 Question 20
The point (3, 2) is reflected in the x-axis. Write down the coordinates of its image.[1 mark]
ξ = {1, 2, 3, ..., 12}, A = {2, 4, 6, 8, 10, 12}, B = {3, 6, 9, 12}.
21 Question 21
List the elements of A ∩ B.[1 mark]
22 Question 22
Solve the inequality 3x − 4 < 11.[2 marks]
23(a) Question 23(a)
Simplify x³ × x⁴.[1 mark]
23(b) Question 23(b)
Simplify x⁸ ÷ x².[1 mark]
24 Question 24
Make t the subject of the formula v = u + at.[2 marks]
25(a) Question 25(a)
Write 360 as a product of its prime factors.[2 marks]
25(b) Question 25(b)
Find the highest common factor (HCF) of 24 and 36.[2 marks]
25(c) Question 25(c)
Find the lowest common multiple (LCM) of 6 and 8.[1 mark]
26 Question 26
A right-angled triangle has shorter sides 6 cm and 8 cm. Find the length of the hypotenuse.[2 marks]
27 Question 27
Solve the simultaneous equations x + y = 10 and x − y = 2.[3 marks]
28 Question 28
A car travels 150 km in 3 hours. Find its average speed in km/h.[1 mark]
29 Question 29
$1 = €0.80. Change $250 into euros.[2 marks]
30 Question 30
Find the percentage increase when a price goes from $50 to $60.[2 marks]
31 Question 31
A coat costs $80. In a sale the price is reduced by 25%. Find the sale price.[2 marks]
32 Question 32
Using a ruler and compasses only, construct triangle ABC with AB = 7 cm, BC = 5 cm and AC = 6 cm.[2 marks]
33 Question 33
Expand and simplify (x + 3)(x + 5).[2 marks]
34 Question 34
In a class of 32 students, 20 play football, 14 play tennis and 9 play both. How many students play neither?[2 marks]
35 Question 35
The point (3, 1) is rotated 180° about the origin. Write down the coordinates of its image.[1 mark]
36 Question 36
Three more than four times a number is 31. Write an equation and solve it to find the number.[3 marks]
37 Question 37
At midnight the temperature is −4°C. By noon it has risen by 9 degrees. Find the temperature at noon.[1 mark]
38 Question 38
Work out 0.4 × 0.3.[1 mark]
39 Question 39
Write 3.476 correct to 1 decimal place.[1 mark]
Steply practice papers are our own questions in the style of the Cambridge IGCSE Mathematics (0580) papers; they are not official and not endorsed by Cambridge University Press & Assessment. Official past papers: your school or the Cambridge website.