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Math 4 · Unit 15: Special numbers · Cambridge Primary Maths Stage 4

15.3 Tests of divisibility

14 questions · e.g. Which number is divisible by 5 but not by 2 or 10?

Practice

Questions

  1. 1. Worked example: use all the digits 8, 0, 9 and 5 to make the smallest 4-digit number that is divisible by both 2 and 5.

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  2. 2. Tick the 2 numbers that are divisible by 2.

    Tick all the right answers.

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  3. 3. Write these numbers in the Venn diagram. 302, 25, 203, 400, 205, 52, 502

    divisibleby 2divisibleby 5

    Fill the blanks with these.

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  4. 4. Match each number to the rule for dividing by it.

    • Divisible by 2
    • Divisible by 5
    • Divisible by 10
    • Divisible by 100
    • ones digit is 0 or 5
    • ones digit is 0
    • tens and ones digits are 0
    • ones digit is 0, 2, 4, 6 or 8
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  5. 5. A number is divisible by ☐ if the ones digit is 0, 2, 4, 6 or 8. Use 2, 5, 10 or 100.

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  6. 6. A number is divisible by ☐ if the ones digit is 0. Use 2, 5, 10 or 100.

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  7. 7. Write these numbers in the table: 25, 500, 310, 1000, 105, 690

    Divisible by 5Divisible by 5 and 10Divisible by 5, 10 and 100

    Fill the blanks with these.

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  8. 8. The numbers in the grid that are divisible by 2, 5 or 10 are coloured. A secret calculation appears. What is the answer to it?

    17020803136117435254903127463326939441929759145967624610532270257122855736381734297732714359496279413038347333515169535710587
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  9. 9. Alex says, 'The number fifteen thousand five hundred and fifty-three is divisible by 5.' Is he correct?

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  10. 10. Which of 250, 205, 502 and 520 is divisible by 5 but not by 2 or 10, and which two more numbers are too?

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  11. 11. Here is a set of numbers: 20, 50, 75, 300, 350, 600, 650, 675. Tick the 2 numbers that are divisible by 100.

    Tick all the right answers.

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  12. 12. Here is a set of numbers: 20, 50, 75, 300, 350, 600, 650, 675. Tick the 5 numbers that are divisible by 50.

    Tick all the right answers.

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  13. 13. Here is a set of numbers: 20, 50, 75, 300, 350, 600, 650, 675. Tick the 7 numbers that are divisible by 25.

    Tick all the right answers.

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  14. 14. What is the smallest number that can be added to 333 to make it divisible by 25?

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