Starter quiz
- Which of these numbers are multiples of 4?
- 20 ✓
- 28 ✓
- 30
- 34
- 36 ✓
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- Which of these numbers are not multiples of 6?
- 12
- 22 ✓
- 36
- 42
- 56 ✓
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What calculations does this array show?- 4 × 8 = 32 ✓
- 32 ÷ 4 = 8 ✓
- 32 ÷ 8 = 4 ✓
- 8 × 4 = 32 ✓
- 8 ÷ 4 = 32
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Match the array to the correct square number.- Array a⇔4² ✓
- Array b⇔6² ✓
- Array c⇔5² ✓
- Select the square numbers.
- 6
- 25 ✓
- 40
- 49 ✓
- 81 ✓
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- Jacob has designed a square. One side is 7 tiles long. How many tiles has he used? ______ tiles
- '49' ✓
Exit quiz
- Match the divisibility rules.
- Divisible by 3⇔The sum of the digits is divisible by 3 ✓
- Divisible by 4⇔Halving the number gives an even number ✓
- Divisible by 6⇔The number is divisible by both 2 and 3 ✓
- Divisible by 8⇔Halving the number twice gives an even value ✓
- Which statements are true?
- 16 is divisible by 3
- 16 is divisible by 4 ✓
- 16 is divisible by 6
- 16 is divisible by 8 ✓
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- Which statement is not true?
- 36 is divisible by 3
- 36 is divisible by 4
- 36 is divisible by 6
- 36 is divisible by 8 ✓
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- True or false? 40 is divisible by 3
- True
- False ✓
- Which statements are true?
- 129 is divisible by 3 ✓
- 600 is divisible by 8 ✓
- 30 is divisible by 4
- 16 is divisible by 6
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- True or false? 24 is divisible by 3, 4, 6 and 8
- True ✓
- False
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Multiples of 3 have a digit sum of a multiple of 3 and multiples of 6 are even multiples of 3
- If you can halve a number twice and get a whole number then the original number is a multiple of 4
- If you can halve a multiple of 4 and get a whole number then the original number is a multiple of 8
Common misconception
Pupils may confuse the divisibility rules or apply them incorrectly.
Display the rules so pupils can be reminded of them. Clarify each rule with clear examples and practice problems (e.g., a number is divisible by 3 if the sum of its digits is divisible by 3).
Keywords
Divisible - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Divisibility rules - Divisibility rules let you test if one number is divisible by another, without having to do too much calculation.
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