IGCSE Maths practice questions by topic

Original questions for every topic, Core and Extended, with worked answers, and paper-style questions where each answer you type is checked.

Quick checks	Multiple choice, worked or timed
Paper-style questions	Core and Extended, calculator and non-calculator
Answers	Checked in any equivalent form, then the full working
Algebra	Includes the algebra repair pack, marked line by line

Check your working: Box plot maker

Try 4 questions

Question 1Core · no calculator

The grid shows a straight line through

(0, -2)

and

(3, 4)

. What is the equation of the line?

Question 2Core · no calculator

Two parallel lines are crossed by a straight line. One angle is

65^\circ

. Angle

x

is between the parallel lines, on the same side of the crossing line as the

65^\circ

angle. Find

x

Question 3Extended · no calculator

The Venn diagram shows the numbers of people in sets

A

and

B

. One of the

30

people is chosen at random. Find

P(A \cap B')

Question 4Core · calculator

A frequency table for 20 matches. 0 goals: frequency 4. 1 goal: 7. 2 goals: 5. 3 goals: 3. 4 goals: 1.
Number of goals	0	1	2	3	4
Frequency	4	7	5	3	1

The table shows the numbers of goals scored by a team in

20

matches. Find the mean number of goals per match.

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Questions people ask

How are typed answers checked?

By the same checker as our GCSE maths course: 0.375, 3/8 and 37.5% all count for a probability, and (x + 4)(2x - 3) counts for (2x - 3)(x + 4), unless the question asks for one form.