AQA · Mathematics · 8300

GCSE Maths: Number: multiples

Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Number: multiples (Corbettmaths Video 220), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. What are the first three multiples of 5?

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    5, 10, 15

  2. What is the smallest number over 200 that is a multiple of 6?

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    204. Divide 200 by 6 to get 33.33..., so the 34th multiple of 6 is 34 × 6 = 204.

  3. How many crates can be filled if each crate holds 12 cans and there are 200 cans?

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    16 crates. 200 ÷ 12 = 16 remainder 8, so 16 full crates can be filled.

  4. What is the first even number that is a multiple of both 5 and 7?

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    70. The least common multiple of 5 and 7 is 35, but 35 is odd. The next multiple, 70, is even.

  5. Give an example of a number that is a multiple of 2, 3, 4, 5, and 6.

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    60 (or any multiple of 60). The least common multiple of these numbers is 60.

  6. From the numbers 8, 10, 12, 20, 25, which are multiples of 5?

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    10, 20, 25. These numbers are divisible by 5.

  7. What are all the numbers between 40 and 60 (inclusive) that are multiples of 9?

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    45 and 54. These are 5×9 and 6×9.

  8. What are the positive single-digit factors of 15?

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    1, 3, 5 (and 15, but that's two digits)

  9. What is an example of a number with exactly four factors?

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    Any number of the form p³ (cube of a prime) or p×q (product of two different primes). Examples: 6 (factors: 1,2,3,6), 8 (factors: 1,2,4,8), 10 (factors: 1,2,5,10), 14 (factors: 1,2,7,14), 15 (factors: 1,3,5,15).

  10. To find when two events that repeat will next occur together, calculate their ?.

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    least common multiple

  11. How many prime numbers are between 30 and 40?

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    Two: 31 and 37.

  12. How many prime numbers are between 40 and 50?

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    Three: 41, 43, and 47.

  13. What is the least common multiple (LCM) of 8 and 12?

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    24

  14. What is the least common multiple (LCM) of 20 and 12?

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    60

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