Multiplying, dividing and mixed operations · Ages 9–10

Multiples worksheet

Part of: Factors and multiples

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Multiplying, dividing and mixed operations · Ages 9–10

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

13.A path is 232 m long. Trees are planted every 8 m from the start, including both ends. How many trees are planted?
Working:
Answer:
14.Ka-lok counts the multiples of 13: 13, 13 × 2, 13 × 3, … When Ka-lok reaches 208, which one is it (1st, 2nd…)?
Working:
Answer:
15.pineapple buns come in boxes of 5, sold only by the box. Ming needs at least 69. What is the fewest pineapple buns Ming can buy?
Working:
Answer:
16.This month has 30 days. Tsz-hin swims on every date that is a multiple of 8. How many times does Tsz-hin swim this month?
Working:
Answer:
17.This month has 30 days. May swims on every date that is a multiple of 5. How many times does May swim this month?
Working:
Answer:
18.Tsz-hin counts the multiples of 11: 11, 11 × 2, 11 × 3, … When Tsz-hin reaches 88, which one is it (1st, 2nd…)?
Working:
Answer:

Show the answers and working

Multiples worksheet: Answers and working

1. 18, 27, 36
The multiples of 9 are 9 times 1, times 2, times 3, … Work them out in turn.
9 times 1, 2, 3, 4: 9, 18, 27, 36.
2. 22, 33, 44
The multiples of 11 are 11 times 1, times 2, times 3, … Work them out in turn.
11 times 1, 2, 3, 4: 11, 22, 33, 44.
3. 70
The 1st multiple of 7 is 7 × 1 and the 2nd is 7 × 2. What about the 10th?
The 1st multiple of 7 is 7 × 1, so the 10th is 7 × 10 = 70.
4. 80
Work out 74 ÷ 8 first to see where the last multiple of 8 up to 74 is.
Take the quotient of 74 ÷ 8, add 1, and multiply by 8: 80.
5. 56
Work out 53 ÷ 8 first to see where the last multiple of 8 up to 53 is.
Take the quotient of 53 ÷ 8, add 1, and multiply by 8: 56.
6. 44
The 1st multiple of 4 is 4 × 1 and the 2nd is 4 × 2. What about the 11th?
The 1st multiple of 4 is 4 × 1, so the 11th is 4 × 11 = 44.
7. 15
Count the multiples of 3 from 1 to 96 first, then think what to do with those below 53.
The multiples of 3 from 1 to 96, subtract those below 53: 15.

8. True
Try 42 ÷ 7 and see whether there is a remainder.
42 ÷ 7 = 6 remainder 0. Only with no remainder is it a multiple of 7.
9. True
Try 20 ÷ 4 and see whether there is a remainder.
20 ÷ 4 = 5 remainder 0. Only with no remainder is it a multiple of 4.
10. C. 76
Divide each option by 10 and see which leaves a remainder.
76 ÷ 10 leaves a remainder, so 76 is not a multiple of 10.
11. B. 99 is a multiple of 9
9 × 11 = 99: which number is made from which? Think which one is the multiple and which the factor.
9 × 11 = 99: 99 is a multiple of 9 and 11, and they are factors of 99.
12. C. 114
Divide each option by 12 and see which leaves a remainder.
114 ÷ 12 leaves a remainder, so 114 is not a multiple of 12.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 30 trees
Work out how many 8 m gaps fit in 232 m, then think: with trees at both ends, more trees or more gaps?
Trees stand at 0 m and every multiple of 8: 232 ÷ 8 = 29 gaps, and one more tree than gaps: 30.
14. 16
Think what 13 must be multiplied by to make 208.
208 = 13 × 16, so 208 is the 16th multiple of 13.
15. 70 pineapple buns
The number bought must be a multiple of 5. Work out 69 ÷ 5 to see how many boxes are enough.
The number bought is a multiple of 5; the smallest one at least 69 is 70.
16. 3 times
The swim dates are all multiples of 8, up to 30. How many 8s fit in 30?
8, 8 × 2, 8 × 3, … up to 30: 30 ÷ 8 gives 3.
17. 6 times
The swim dates are all multiples of 5, up to 30. How many 5s fit in 30?
5, 5 × 2, 5 × 3, … up to 30: 30 ÷ 5 gives 6.
18. 8
Think what 11 must be multiplied by to make 88.
88 = 11 × 8, so 88 is the 8th multiple of 11.

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