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Math 4 · Unit 3: Addition and subtraction of whole numbers · Cambridge Primary Maths Stage 4

3.3 Generalising with odd and even numbers

14 questions · e.g. The sum of two odd numbers is always …

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Questions

  1. 1. Is it always, sometimes or never true that when you add two numbers together you get an even number?

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  2. 2. Look at the odd numbers in the grid. If you shade them all, what letter do they make?

    416636503241223286122065715419842385365411058518257304045367659535820645294687590682566742174552
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  3. 3. Each one is the sum of two odd numbers: 5 + 11, 23 + 19 and 101 + 5. Work them out, then complete: The sum of two odd numbers is always …

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  4. 4. Join each calculation to the correct answer.

    • odd + odd =
    • odd + even =
    • even + even =
    • odd
    • even
    • even
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  5. 5. Is it always, sometimes or never true that the sum of two odd numbers is even?

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  6. 6. Is it always, sometimes or never true that the sum of three odd numbers is even?

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  7. 7. Each one is the sum of one odd number and one even number: 5 + 12, 23 + 20 and 101 + 10. Work them out, then complete: The sum of one odd number and one even number is always …

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  8. 8. Tick the 2 statements that are true.

    Tick all the right answers.

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  9. 9. Leroy says, ‘I add two odd numbers and one even number and my answer is 33.’ Is Leroy correct?

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  10. 10. Mary says, 'The difference between two odd numbers is odd.' Is this always true, sometimes true or never true, and why?

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  11. 11. Work out 5 + 11, 22 + 19, 34 + 56, 213 + 35, 432 + 79 and 876 + 432. Then complete: the sum of two odd numbers is always …, the sum of two even numbers is always …, the sum of one odd and one even number is always … (in that order).

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  12. 12. Tick the 2 statements that are true.

    Tick all the right answers.

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  13. 13. Four statements about odd and even numbers: one is wrong. Which one?

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  14. 14. Is it always, sometimes or never true that the sum of four even numbers will divide exactly by 4?

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