Let’s solve each problem step by step.
---
1) Write the multiples of 3 between 10 and 30.
Multiples of 3: 3, 6, 9,
12, 15, 18, 21, 24, 27, 30...
Between 10 and 30 → we start after 10 and stop before or at 30? The question says “between 10 and 30” — usually in math worksheets like this, it includes numbers greater than 10 and less than or equal to 30 if 30 is a multiple. But let’s check: 3×4=12, 3×5=15, 3×6=18, 3×7=21, 3×8=24, 3×9=27, 3×10=30.
But “between 10 and 30” often means *greater than 10 and less than 30*. However, looking at the blanks — there are 6 boxes. Let’s list:
12, 15, 18, 21, 24, 27 → that’s 6 numbers. 30 is not included because “between 10 and 30” typically excludes endpoints unless specified. Also, 30 is the upper limit, so likely excluded.
✔ So:
12, 15, 18, 21, 24, 27
---
2) Write the multiples of 4 between 15 and 40.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...
Between 15 and 40 → greater than 15, less than 40? Again, 6 blanks.
Start from 16 (4×4), then 20, 24, 28, 32, 36 → that’s 6 numbers. 40 is probably excluded since “between 15 and 40”.
✔ So:
16, 20, 24, 28, 32, 36
---
3) Write the multiples of 5 between 20 and 55.
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55...
Between 20 and 55 → greater than 20, less than 55? 6 blanks.
So: 25, 30, 35, 40, 45, 50 → that’s 6 numbers. 20 and 55 are endpoints — likely excluded.
✔ So:
25, 30, 35, 40, 45, 50
---
4) Write the multiples of 9 between 30 and 90.
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90...
Between 30 and 90 → greater than 30, less than 90? 6 blanks.
Start from 36 (9×4), then 45, 54, 63, 72, 81 → that’s 6 numbers. 90 is endpoint — likely excluded.
✔ So:
36, 45, 54, 63, 72, 81
---
5) 10, 15, 20, 30 are multiples of _______
Find what number divides all of them evenly.
Check common factors:
- 10 ÷ 5 = 2
- 15 ÷ 5 = 3
- 20 ÷ 5 = 4
- 30 ÷ 5 = 6
All divisible by 5. Is there a larger one? GCF of 10,15,20,30.
Factors:
- 10: 1,2,5,10
- 15: 1,3,5,15
- 20: 1,2,4,5,10,20
- 30: 1,2,3,5,6,10,15,30
Common factor: 5 is the largest that divides all.
Also note: they’re all multiples of 5.
✔ Answer:
5
---
6) 12, 15, 18, 21 are multiples of _______
Check divisibility:
- 12 ÷ 3 = 4
- 15 ÷ 3 = 5
- 18 ÷ 3 = 6
- 21 ÷ 3 = 7
All divisible by 3. Any higher? 12÷6=2, but 15÷6=2.5 → no. So only 3 works for all.
✔ Answer:
3
---
7) 10, 20, 30, 40 are multiples of _______
Clearly all end in 0 → divisible by 10.
Also divisible by 5 and 2, but 10 is the largest common divisor.
10÷10=1, 20÷10=2, etc.
✔ Answer:
10
---
8) 12, 24, 36, 42 are multiples of _______
Check:
- 12 ÷ 6 = 2
- 24 ÷ 6 = 4
- 36 ÷ 6 = 6
- 42 ÷ 6 = 7 → yes!
Is there a bigger one? Try 12: 42÷12=3.5 → no. 7? 12÷7≈1.7 → no. So 6 is the greatest common divisor.
Also, notice: 12=6×2, 24=6×4, 36=6×6, 42=6×7 → all multiples of 6.
✔ Answer:
6
---
Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of math multiples worksheet.
