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.
12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try
- 1Aisha asked shoppers how they had travelled to the shops, and recorded their age group as well. She put her results into this two-way table.
(a) Show that Aisha's table cannot be correct.Under 25 25 or over Total Walked Drove Total
(b) All of the totals in Aisha's table are correct, and only one of the four numbers inside the table was recorded wrongly.
Work out the correct value of that number.Level 4 · 5 marksTry it - 2people were asked whether they had read a particular book and whether they had seen the film of that book.
of the people had seen the film.
of the people who had seen the film had also read the book.
Altogether of the people had read the book.
(a) Use this information to complete the two-way table.
(b) Work out how many of the people had read the book or had seen the film (or both).Read the book Not read the book Total Seen the film Not seen the film Total Level 4 · 6 marksTry it - 3There are students in Year 11 at a school. Each student studies exactly one of French, Spanish and German.
of the students are girls.
of the girls study French and of the girls study German.
of the students study French.
The number of boys who study Spanish is twice the number of boys who study German.
(a) Complete the two-way table.
(b) Work out how many more students study Spanish than study German.French Spanish German Total Girls Boys Total Level 4 · 6 marksTry it