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Complete a two-way table from given values, then use it to find totals, fractions, percentages and probabilities. It is on Foundation and Higher, aimed at grade 3. Free questions with answers are on this page. Worked examples show each line before you try the questions.
A two-way table cross-classifies two features (year group against how they travel). Every row sums to its total; every column sums to its total; the grand total sits in the bottom-right. Fill the given cells, then use the totals to find the blanks. One wrong cell will make two totals fail — that is your check.
A probability from a two-way table is the cell (or cells) asked for, over the correct total. 'Given that they are in Year 11' changes the denominator to the Year 11 total, not the grand total. That one word 'given' is the whole of conditional probability at this grade.
Fill every cell so rows and columns add to their totals — start with the given cells and work outwards. A probability is the cell (or a total of cells) over the grand total, unless the question restricts to a row ('given they study French').
In one row of a two-way table, 5 people walk and 3 go by bus. There is no other choice in that row. What is the row total?
2 marks
Answer: 8
In one row of a two-way table, 8 people walk and the rest go by bus. The row total is 16. How many go by bus?
2 marks
Answer: 8
In one row of a two-way table, 11 people walk and 13 go by bus. There is no other choice in that row. What is the row total?
2 marks
Answer: 24
GCSE Maths two-way tables questions and answers. Try each one, then open the answer. Easy questions come first.
In one row of a two-way table, 14 people walk and the rest go by bus. The row total is 21. How many go by bus?
Answer: 7
In one row of a two-way table, 17 people walk and 12 go by bus. There is no other choice in that row. What is the row total?
Answer: 29
In one row of a two-way table, 12 people walk and the rest go by bus. The row total is 17. How many go by bus?
Answer: 5
In one row of a two-way table, 15 people walk and 10 go by bus. There is no other choice in that row. What is the row total?
Answer: 25
In one row of a two-way table, 10 people walk and the rest go by bus. The row total is 13. How many go by bus?
Answer: 3
In one row of a two-way table, 13 people walk and 8 go by bus. There is no other choice in that row. What is the row total?
Answer: 21
In one row of a two-way table, 8 people walk and the rest go by bus. The row total is 20. How many go by bus?
Answer: 12
Most lost marks on this topic are one slip.
Using the grand total when the question asks for a percentage of one row.
The denominator is the group named in the question.
Adding a total into the cells.
Totals are sums of cells. They are not extra people.
Filling a gap from the wrong row.
Stay in the row, or the column, that contains the gap.
The row totals in a two-way table should add to
the grand total Every person is in exactly one row.
The same questions are in a PDF you can print. Answers start on a later page.
Or use Print in your browser. Answers under each question are included when you print.
Two-way tables is on Foundation and Higher, aimed at grade 3.
Using the grand total when the question asks for a percentage of one row. The denominator is the group named in the question.
The questions on this page are free. Open Show answer under each one, or download the worksheet PDF. Start free to practise this topic in the app.
AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.
Last updated 9 November 2026.