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      Use knowledge of the divisibility rules for divisors 8 to solve problems

      Lesson details

      Learning outcome

      I can solve problems using knowledge of the divisibility rules for 8

      Key learning points

      1. If you can halve a multiple of 4 then it is a multiple of 8 and divisible by 8
      2. All numbers divisible by 8 are also divisible by 4 and 2
      3. Multiples of 8 are all multiples of both 2 and 4

      Keywords

      • Halve - A half is one of two equal parts of a whole.

      • Divisible - Divisibility is when division of a number results in another whole number.

      Common misconception

      Lack of fluency in 4s and or 8s times tables and understanding when tackling word problems.

      Clearly model highlighting key words of worded problems to understand the problem and the operation required for the calculation. Continue to use language stems such as 'If I know...' 'Then I know...,' to support mathematical thinking.

      Teacher tip

      By this lesson, pupils should be fluent in the 2s, 4s & 8s and the divisibility rules for both 2s and 4s. Continue to use language reflective of the relational pattern between 4s & 8s e.g. 'If I know that 4 × 6 = 24 then I know that 8 × 6 is 48; when you double one factor the product also doubles.'

      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.
      What single number fits into each of these gaps to make this correct? 16 ÷ 8 = 16 ÷ ___ ÷___ ÷___

      An image in a quiz
      Correct Answer: 2, two

      Q2.
      Match the numbers so that one is half of the amount of the other.

      Correct Answer:20,10

      10

      Correct Answer:30,15

      15

      Correct Answer:40,20

      20

      Correct Answer:70,35

      35

      Correct Answer:90,45

      45

      Q3.
      Select the multiples of 4

      Correct answer: 24
      Correct answer: 32
      37
      Correct answer: 40
      47

      Q4.
      Select the multiples of 8

      100
      Correct answer: 200
      300
      Correct answer: 400

      Q5.
      A bakery has baked 50 cupcakes. It packs them into full boxes of 4 Can 49 cupcakes be packed into full boxes of 4?

      Yes
      Correct answer: No

      Q6.
      A bakery has baked 170 cupcakes. It packs them into boxes of 4 Can all 170 cupcakes be packed?

      Yes
      Correct answer: No

      6 Questions

      Q1.
      Look at the number sequence: 8, 16, 24, ___, 40, 48 . What is the missing number?

      Correct Answer: 32

      Q2.
      Match the numbers so that one is half of the amount of the other.

      Correct Answer:200,100

      100

      Correct Answer:300,150

      150

      Correct Answer:400,200

      200

      Correct Answer:700,350

      350

      Correct Answer:900,450

      450

      Q3.
      Select the multiples of 8

      Correct answer: 32
      37
      Correct answer: 40
      68
      Correct answer: 96

      Q4.
      Select the multiples of 4

      50
      Correct answer: 100
      150
      Correct answer: 200

      Q5.
      Select the multiples of 8

      Correct answer: 88
      97
      Correct answer: 104
      116
      Correct answer: 208

      Q6.
      Is 784 a multiple of 8?

      Correct answer: Yes
      No

      To help you plan your 3 maths lesson on: Use knowledge of the divisibility rules for divisors 8 to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...