Let's solve each problem step by step and explain the reasoning.
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1) Write the multiples of 3 between 10 and 30.
Multiples of 3: Numbers divisible by 3.
Start from the first multiple of 3 greater than 10:
- 12 (3×4)
- 15 (3×5)
- 18 (3×6)
- 21 (3×7)
- 24 (3×8)
- 27 (3×9)
Next would be 30, but it’s
not less than 30, so we stop at 27.
✔ Answer: 12, 15, 18, 21, 24, 27
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2) Write the multiples of 4 between 15 and 40.
Multiples of 4:
- First multiple of 4 greater than 15: 16 (4×4)
- Then: 20 (4×5), 24 (4×6), 28 (4×7), 32 (4×8), 36 (4×9)
- Next is 40, but it's
not less than 40, so exclude it.
✔ Answer: 16, 20, 24, 28, 32, 36
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3) Write the multiples of 5 between 20 and 55.
Multiples of 5:
- First multiple > 20: 25 (5×5)
- Then: 30 (5×6), 35 (5×7), 40 (5×8), 45 (5×9), 50 (5×10)
- Next is 55, which is not less than 55 → exclude.
✔ Answer: 25, 30, 35, 40, 45, 50
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4) Write the multiples of 9 between 30 and 90.
Multiples of 9:
- First multiple > 30: 36 (9×4)
- Then: 45 (9×5), 54 (9×6), 63 (9×7), 72 (9×8), 81 (9×9)
- Next is 90 → not less than 90 → exclude.
✔ Answer: 36, 45, 54, 63, 72, 81
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5) 10, 15, 20, 30 are multiples of _______
Check what number divides all these evenly.
- 10 ÷ 5 = 2
- 15 ÷ 5 = 3
- 20 ÷ 5 = 4
- 30 ÷ 5 = 6
All divisible by
5.
✔ Answer: 5
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6) 12, 15, 18, 21 are multiples of _______
Check common divisor:
- 12 ÷ 3 = 4
- 15 ÷ 3 = 5
- 18 ÷ 3 = 6
- 21 ÷ 3 = 7
All divisible by
3.
✔ Answer: 3
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7) 10, 20, 30, 40 are multiples of _______
These are all multiples of 10:
- 10 = 10×1
- 20 = 10×2
- 30 = 10×3
- 40 = 10×4
✔ Answer: 10
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8) 12, 24, 36, 42 are multiples of _______
Check if they have a common factor.
- 12 ÷ 6 = 2
- 24 ÷ 6 = 4
- 36 ÷ 6 = 6
- 42 ÷ 6 = 7
Yes! All divisible by
6.
✔ Answer: 6
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✔ Final Answers:
1)
12, 15, 18, 21, 24, 27
2)
16, 20, 24, 28, 32, 36
3)
25, 30, 35, 40, 45, 50
4)
36, 45, 54, 63, 72, 81
5)
5
6)
3
7)
10
8)
6
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of multiples of 3 worksheet.
