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Grade 3 · Foundation · free GCSE maths worksheet

Two-way tables

Completing and reading two-way tables.

13 original questions, 43 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Pupils in Year 7 chose a drink or a snack for break.

DrinkSnackTotal
Boys12820
Girls91120
Total211940
  1. How many girls chose a snack?
  2. How many pupils chose a drink?
2 marks
Show answer
a) 11 b) 21
2

80 students each chose one club: Art, Music or Drama.

The two-way table shows some information about their choices.

ArtMusicDramaTotal
Boys14935
Girls1811
Total80

Complete the two-way table.

3 marks
Show answer
Boys Music) 12 Girls Art) 16 Girls Total) 45 Art Total) 30 Music Total) 30 Drama Total) 20
3

80 people watched a match at a sports club. Each person watched either football or rugby.

45 of the people were adults. The rest were children.

28 of the children watched football.

19 of the adults watched rugby.

Use this information to complete the two-way table.

FootballRugbyTotal
Adults
Children
Total
3 marks
Show answer
Adults Football) 26 Children Rugby) 7 Children Total) 35 Football Total) 54 Rugby Total) 26
4

30 people were asked whether they travel to work by car or by bus.

CarBusTotal
Men1117
Women7
Total30

Complete the table.

3 marks
Show answer
Men bus) 6 Women car) 6 Women total) 13 Car total) 17 Bus total) 13
5

120 Year 10 students each study exactly one language, French or Spanish.

66 of the students are girls.

28 boys study French.

39 girls study Spanish.

Work out how many students study French.

3 marks
Show answer
55
6

90 members of a gym each went to one class, yoga or spin.

25 of the members are men.

21 of the men went to spin.

25 of the women went to yoga.

Work out how many members went to yoga in total.

3 marks
Show answer
40
7

200 people were asked whether they prefer to shop online or in store.

112 of the people were aged under 40. The rest were aged 40 or over.

74 of the people aged under 40 prefer to shop online.

61 of the people aged 40 or over prefer to shop in store.

Work out how many of the 200 people prefer to shop online.

3 marks
Show answer
101
8

Pupils in Year 10 chose French or Spanish.

FrenchSpanishTotal
Boys181432
Girls132538
Total313970
  1. How many more girls than boys chose Spanish?
  2. One pupil is picked at random. Write the probability that the pupil is a boy who chose French, as a fraction in its simplest form.
3 marks
Show answer
a) 11 b) 9/35
9

150 students travel to school by bus, by car or by walking.

The two-way table shows some information.

BusCarWalkTotal
Year 7243080
Year 818
Total55150

Complete the two-way table.

3 marks
Show answer
Year 7 Car) 26 Year 8 Bus) 31 Year 8 Walk) 21 Year 8 Total) 70 Car Total) 44 Walk Total) 51
10

A sports club has 132 members. Each member plays exactly one sport, badminton or squash.

72 of the members are female.

The number of male members who play squash is twice the number of male members who play badminton.

45 female members play badminton.

Work out the total number of members who play badminton.

4 marks
Show answer
65
11

One morning a cafe sold 90 drinks. Each drink was tea, coffee or hot chocolate, and each drink was small or large.

34 of the drinks were tea. 14 of the teas were large.

41 of the drinks were coffee. 26 of the coffees were large.

9 of the hot chocolates were large.

Work out how many small drinks the cafe sold.

4 marks
Show answer
41
12

80 students sat a mock exam. Each student is in Year 10 or Year 11.

47 of the students are in Year 10.

35 of the Year 10 students passed the exam.

62 students passed the exam in total.

One of the students who passed the exam is chosen at random.

Find the probability that this student is in Year 11.

Give your answer as an exact fraction.

4 marks
Show answer
2762
13

120 people at a conference are delegates or speakers. Each person chose one workshop: Coding, Design or Marketing.

There are 30 speakers.

13 of the speakers chose Coding.

8 speakers chose Marketing.

36 delegates chose Design.

Equal numbers of delegates chose Coding and Marketing.

  1. Complete the two-way table to show this information.
    CodingDesignMarketingTotal
    Delegates36
    Speakers830
    Total120
  2. One of the 120 people is chosen at random. Work out the probability that this person chose Coding.
5 marks
Show answer
a) Delegates 27, 36, 27, total 90; speakers 10, 12, 8, total 30; totals 37, 48, 35, grand total 120. b) 37/120

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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