GCSE · Data representation

Two-way tablesExam-style questions

Why every person in a two-way table is counted exactly once, so the rows, the columns and the grand total all have to agree — and why completing a table is never guesswork: you find the row or column with a single gap and work outwards.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
The two-way table shows how some students travel to school.
Walk Bus Total
Boys $12$ $8$ $20$
Girls $9$ $\;$ $22$
Total $21$ $\;$ $42$
How many girls take the bus?
Level 1 · 1 markTry it
2
The two-way table shows how some students travel to school.
Walk Bus Total
Boys $12$ $8$ $20$
Girls $9$ $13$ $22$
Total $21$ $21$ $42$
One of these students is picked at random. Write down the probability that the student walks to school.
Level 1 · 1 markTry it
3
$80$ students each study exactly one language: French, Spanish or German.

$45$ of the students are girls. $20$ students study Spanish, and $8$ of these are girls. $25$ girls study French. $12$ boys study German.
(a) Work out how many boys study French. (2 marks)
(b) One of the students who studies German is chosen at random.

Work out the probability that this student is a girl. (1 mark)
Level 2 · 3 marksTry it
4
The two-way table shows information about the $90$ members of a walking group and the route each member completed on a charity walk.
5 km 10 km 15 km Total
Adult $14$ $26$ $22$ $62$
Junior $17$ $8$ $3$ $28$
Total $31$ $34$ $25$ $90$
(a) Write down the number of juniors who completed the 10 km route.

(b) Work out how many of the members completed a route of at least 10 km.

(c) Work out how many more adults than juniors completed the 15 km route.
Level 2 · 5 marksTry it
5
There are $30$ students in a class. $18$ of them are girls.

$12$ of the students wear glasses. $7$ of the girls wear glasses.

A student is chosen at random. Work out the probability that the student is a boy who does not wear glasses. (3 marks)
Level 3 · 3 marksTry it

	Walk	Bus	Total
Boys	$12$	$8$	$20$
Girls	$9$	$\;$	$22$
Total	$21$	$\;$	$42$

	Walk	Bus	Total
Boys	$12$	$8$	$20$
Girls	$9$	$13$	$22$
Total	$21$	$21$	$42$

	5 km	10 km	15 km	Total
Adult	$14$	$26$	$22$	$62$
Junior	$17$	$8$	$3$	$28$
Total	$31$	$34$	$25$	$90$

7 more questions on two-way tables

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