GCSE & IGCSE maths practice

Two-way tables questions and answers

A two-way table shows two things at once, like gender and how students travel to school. Each row and column has a total. To complete a table, use the fact that the numbers in each row and column add to its total. Probabilities come straight from the table: the number you want over the number you're choosing from.

15 questions · Foundation and Higher tier · Every answer is checked as you type it, with a full worked solution. Updated 10 Nov 2026.

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Where two-way tables comes up

GCSE (AQA, Edexcel, OCR)	Foundation and Higher: interpret and construct tables, including two-way tables. Higher only: conditional probability from two-way tables.
Cambridge IGCSE (0580)	Core and Extended: interpret two-way tables. Extended only: conditional probability from tables.

The method

Fill in any row or column with only one gap first.
Check the grand total both ways.
Probability: wanted ÷ total you're choosing from.
"Given that..." (conditional): the total is just that row or column.

Two-way tables questions

Try each one before looking at the hint. If you're stuck, the AI tutor can talk you through it step by step.

Warm-up

Question 1Warm-upFoundation

The table shows how 60 students travel to school. How many girls take the bus?

	Walk	Bus	Car	Total
Boys	12	9	7	28
Girls	15	11	6	32
Total	27	20	13	60

Question 2Warm-upFoundation

Using the same table, how many students walk?

	Walk	Bus	Car	Total
Boys	12	9	7	28
Girls	15	11	6	32
Total	27	20	13	60

Question 9Warm-upFoundation

The table shows the clubs chosen by 100 students. How many Year 11 students chose music?

	Sport	Music	Art	Total
Year 10	22	15	13	50
Year 11	18	20	12	50
Total	40	35	25	100

Question 10Warm-upFoundation

Using the same table, how many students chose art altogether?

	Sport	Music	Art	Total
Year 10	22	15	13	50
Year 11	18	20	12	50
Total	40	35	25	100

Exam-style

Question 3Exam-styleFoundation

A student is chosen at random. What is the probability they are a boy who travels by car?

	Walk	Bus	Car	Total
Boys	12	9	7	28
Girls	15	11	6	32
Total	27	20	13	60

Question 4Exam-styleFoundation

A student is chosen at random. What is the probability they walk?

	Walk	Bus	Car	Total
Boys	12	9	7	28
Girls	15	11	6	32
Total	27	20	13	60

Question 5Exam-styleHigher

A girl is chosen at random. What is the probability she takes the bus?

	Walk	Bus	Car	Total
Boys	12	9	7	28
Girls	15	11	6	32
Total	27	20	13	60

Question 6Exam-styleFoundation

80 people: 35 are adults and the rest are children. 20 adults have a pet. 30 children have no pet. How many children have a pet?

Question 11Exam-styleFoundation

A student is chosen at random. What is the probability they chose sport?

	Sport	Music	Art	Total
Year 10	22	15	13	50
Year 11	18	20	12	50
Total	40	35	25	100

Question 12Exam-styleFoundation

A student is chosen at random. What is the probability they are in Year 10 and chose music?

	Sport	Music	Art	Total
Year 10	22	15	13	50
Year 11	18	20	12	50
Total	40	35	25	100

Question 13Exam-styleHigher

A student who chose art is picked at random. What is the probability they are in Year 10?

	Sport	Music	Art	Total
Year 10	22	15	13	50
Year 11	18	20	12	50
Total	40	35	25	100

Question 14Exam-styleFoundation

50 people were asked if they like tea. 30 are adults. 18 adults like tea and 12 children like tea. How many children don't like tea?

Challenge

Question 7ChallengeFoundation

For the same 80 people, how many have no pet?

Question 8ChallengeHigher

For the same 80 people, a person with a pet is chosen at random. What is the probability they are an adult?

Question 15ChallengeHigher

A Year 11 student is chosen at random. What is the probability they chose sport or art?

	Sport	Music	Art	Total
Year 10	22	15	13	50
Year 11	18	20	12	50
Total	40	35	25	100

Common mistakes

Dividing by the grand total in a "given that" question.
Reading from the wrong row or column.
Not checking the totals add up.

Stuck on one of these?

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Sources

The questions are our own. The “where it comes up” notes are from each board's published specification, checked on 26 October 2026:

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