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Auralith Learning

Year 8 · Maths · Tables and probability · Lesson 2

Two-way tables

Learn to read and complete two-way tables, build one from information in words, and use them to find fractions and probabilities.

Whiteboard video lesson: Two-way tables

32-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Read information from a two-way table
  • Complete a two-way table using row and column totals
  • Build a two-way table from written information
  • Find probabilities from a two-way table
  • Choose the right total for a fraction or probability

The method

  1. Find a row or column with only one gap.
  2. Gap in a total: add. Gap in a part: subtract from the total.
  3. Keep going until the table is full.
  4. Check every row and column adds up.

Key words: two-way table, row, column, total, probability.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Complete the two-way table about favourite sports.

  1. Step 1: Find a row or column with one gap
  2. Step 2: Total, Swimming
  3. Step 3: Year 8, Football
  4. Step 4: Year 8, Swimming
  5. Step 5: Year 7, Netball
  6. Step 6: Year 7, Total

Answer: Table complete

Question 2

Complete the two-way table about pets.

  1. Step 1: Find a row or column with one gap
  2. Step 2: Total, Cat
  3. Step 3: Total, None
  4. Step 4: Girls, None
  5. Step 5: Girls, Dog
  6. Step 6: Boys, Dog
  7. Step 7: Boys, Total

Answer: Table complete

Question 3

Complete the two-way table about left- and right-handed pupils.

  1. Step 1: Find a row or column with one gap
  2. Step 2: Left-handed, Girls
  3. Step 3: Total, Girls
  4. Step 4: Right-handed, Boys
  5. Step 5: Right-handed, Girls

Answer: Table complete