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      Use knowledge of the relationships between the 3 and 6 times tables to solve problems

      Lesson details

      Learning outcome

      I can use knowledge of the relationships between the 3 and 6 times tables to solve problems.

      Key learning points

      1. All multiples of 6 are multiples of 3
      2. Not all multiples of 3 are multiples of 6
      3. Multiples of 6 are double the multiples of 3
      4. Multiples of 3 are half the multiples of 6

      Keywords

      • Multiple - A multiple is the result of multiplying a number by another whole number.

      • Double / doubling - Doubling is the act of becoming twice as many.

      • Halve / Halving - Halving means to divide into two equal parts.

      Common misconception

      Pupils may find it difficult to solve problems or misunderstand questions.

      Model clearly how to identify key phrases and words which will identify the operation and equation required for word problems. This could involve drawing bar models or other representations.

      Teacher tip

      By this point fluency in 3 and 6 times tables will support children in solving these problems. Continue to chorally rehearse the 3 and 6 times tables.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which numbers are multiples of 3?

      4
      Correct answer: 6
      8
      Correct answer: 9
      Correct answer: 18

      Q2.
      Multiples of 3 are __________ the multiples of 6

      double
      Correct answer: half

      Q3.
      Match the groups of 3 to the groups of 6

      Correct Answer:2 groups of 3,1 group of 6

      1 group of 6

      Correct Answer:6 groups of 3,3 groups of 6

      3 groups of 6

      Correct Answer:4 groups 3,3 groups of 4

      3 groups of 4

      Correct Answer:8 groups of 3,4 groups of 6

      4 groups of 6

      Correct Answer:12 groups of 3,6 groups of 6

      6 groups of 6

      Q4.
      Match the expressions to the correct product.

      Correct Answer:3 × 6,18

      18

      Correct Answer:7 × 6,42

      42

      Correct Answer:9 × 6,54

      54

      Correct Answer:8 × 6,48

      48

      Q5.
      Match the calculation to the answer.

      Correct Answer:Double 3,6

      6

      Correct Answer:Half of 36,18

      18

      Correct Answer:Double 6,12

      12

      Correct Answer:Half of 14,7

      7

      Q6.
      Match the start and end of the sentences to make them correct.

      An image in a quiz
      Correct Answer:If there are 5 triangles,there are 15 vertices

      there are 15 vertices

      Correct Answer:If there are 7 stars,there are 42 vertices

      there are 42 vertices

      Correct Answer:If there are 4 triangles,there are 12 vertices

      there are 12 vertices

      Correct Answer:If there are 9 stars,there are 54 vertices

      there are 54 vertices

      6 Questions

      Q1.
      Look at this array. It shows 6 groups of 3 and it also shows groups of 6

      An image in a quiz
      3

      Q2.
      Select the keyword which will make the statement correct. In a multiplication equation, when one factor doubles the product __________.

      halves
      Correct answer: doubles
      triples

      Q3.
      Select the correct product: if 3 × 6 = 18 then 3 × 3 = .

      An image in a quiz
      Correct Answer: 9

      Q4.
      If 3 × 7 = 21, what is 6 × 7 =

      Correct Answer: 42

      Q5.
      Find the missing number.

      An image in a quiz
      Correct Answer: 54

      Q6.
      Match the equation to the correct missing factor.

      Correct Answer:4 × 3 = ___ × 6,2

      2

      Correct Answer:6 × 3 = ___ × 6,3

      3

      Correct Answer:8 × 3 = ___ × 6,4

      4

      Correct Answer:10 × 3 = ___ × 6,5

      5


      To help you plan your 4 maths lesson on: Use knowledge of the relationships between the 3 and 6 times tables to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...