Multiples - Worksheet | Maths Year 5 - Free Printable

I'll work through this multiples worksheet step by step, solving each section carefully.

Section 1a: Circle the numbers that are multiples of 5
Numbers: 25, 52, 60, 83, 95, 1000

A multiple of 5 ends in 0 or 5.
- 25: ends in 5 ✓ (25 5 = 5)
- 52: ends in 2 ✗
- 60: ends in 0 ✓ (60 ÷ 5 = 12)
- 83: ends in 3 ✗
- 95: ends in 5 ✓ (95 ÷ 5 = 19)
- 1000: ends in 0 ✓ (1000 ÷ 5 = 200)

Multiples of 5: 25, 60, 95, 1000

Section 1b: Circle the numbers that are multiples of 2
Numbers: 15, 82, 64, 23, 70, 586

A multiple of 2 is an even number (ends in 0, 2, 4, 6, or 8).
- 15: odd ✗
- 82: even ✓ (82 ÷ 2 = 41)
- 64: even ✓ (64 ÷ 2 = 32)
- 23: odd ✗
- 70: even ✓ (70 2 = 35)
- 586: even ✓ (586 ÷ 2 = 293)

Multiples of 2: 82, 64, 70, 586

Section 1c: Circle the numbers that are multiples of 3
Numbers: 30, 10, 37, 9, 36, 24

To check if a number is a multiple of 3, add its digits. If the sum is divisible by 3, so is the number.
- 30: 3+0=3, divisible by 3 ✓ (30 3 = 10)
- 10: 1+0=1, not divisible by 3 ✗
- 37: 3+7=10, not divisible by 3 ✗
- 9: 9, divisible by 3 ✓ (9 ÷ 3 = 3)
- 36: 3+6=9, divisible by 3 ✓ (36 ÷ 3 = 12)
- 24: 2+4=6, divisible by 3 ✓ (24 ÷ 3 = 8)

Multiples of 3: 30, 9, 36, 24

Section 1d: Circle the numbers that are multiples of 10
Numbers: 41, 90, 102, 450, 710, 8000

A multiple of 10 must end in 0.
- 41: doesn't end in 0 ✗
- 90: ends in 0 ✓ (90 ÷ 10 = 9)
- 102: doesn't end in 0 ✗
- 450: ends in 0 ✓ (450 ÷ 10 = 45)
- 710: ends in 0 ✓ (710 ÷ 10 = 71)
- 8000: ends in 0 ✓ (8000 ÷ 10 = 800)

Multiples of 10: 90, 450, 710, 8000

Section 2a: Match numbers with their multiples
Left side: 5, 2, 3
Right side: 22, 27, 25

Let me check which multiples match:
- 5 × ? = 22? No, 22 ÷ 5 = 4.4 (not whole)
- 5 × ? = 27? No, 27 ÷ 5 = 5.4 (not whole)
- 5 × ? = 25? Yes! 5 × 5 = 25 ✓

- 2 × ? = 22? Yes! 2 × 11 = 22 ✓
- 2 × ? = 27? No, 27 ÷ 2 = 13.5 (not whole)

- 3 × ? = 27? Yes! 3 × 9 = 27 ✓

So: 5 → 25, 2 → 22, 3 → 27

Section 2b: Match numbers with their multiples
Left side: 3, 5, 10
Right side: 310, 18, 35

Let me check:
- 3 × ? = 310? No, 310 ÷ 3 = 103.33... (not whole)
- 3 × ? = 18? Yes! 3 × 6 = 18 ✓
- 3 × ? = 35? No, 35 ÷ 3 = 11.67... (not whole)

- 5 × ? = 310? No, 310 ÷ 5 = 62 (wait, let me recalculate: 310 ÷ 5 = 62, yes it's whole!) Let me verify: 5 × 62 = 310 ✓
- 5 × ? = 35? Yes! 5 × 7 = 35 ✓

- 10 × ? = 310? Yes! 10 × 31 = 310 ✓

So: 3 → 18, 5 → 35, 10 → 310

Section 3: True or False

a) 26 is a multiple of 2
26 ÷ 2 = 13 ✓ This is TRUE

b) 55 is a multiple of 10
55 10 = 5.5 (not a whole number) ✗ This is FALSE

c) 36 is a multiple of 3
36 ÷ 3 = 12 ✓ This is TRUE

d) 63 is a multiple of 5
63 ÷ 5 = 12.6 (not a whole number) ✗ This is FALSE

Section 4a: Circle the odd one out
Numbers: 18, 30, 36, 28, 12, 9, 21

Let me look for patterns. I'll check if they're all multiples of something:
- Multiples of 3: 18÷3=6✓, 30÷3=10✓, 36÷3=12✓, 28÷3=9.33, 12÷3=4✓, 9÷3=3✓, 21÷3=7✓

28 is NOT a multiple of 3, while all others are. So 28 is the odd one out.

Section 4b: Circle the odd one out
Numbers: 8, 16, 22, 44, 68, 50, 31

Let me check if they're multiples of 2 (even numbers):
8, 16, 22, 44, 68, 50 are all even ✓
31 is odd ✗

So 31 is the odd one out (it's the only odd number).

Section 5: How old are the people?

Person 1: "My age is a multiple of both 3 and 5. I am less than 20 years old."

First, find multiples of both 3 and 5 (which means multiples of 15, since LCM of 3 and 5 is 15):
- 15 × 1 = 15
- 15 × 2 = 30 (too big, must be less than 20)

So the answer is 15 years old.

Let me verify: Is 15 a multiple of 3? Yes (15÷3=5). Is 15 a multiple of 5? Yes (15÷5=3). Is 15 less than 20? Yes. ✓

Person 2: "My age is a multiple of 2. It is 1 less than a multiple of 5. I am older than 10 but less than 20 years old."

Let me list multiples of 2 between 10 and 20: 12, 14, 16, 18

Now check which one is "1 less than a multiple of 5":
- 12: 12+1=13, is 13 a multiple of 5? No (13÷5=2.6)
- 14: 14+1=15, is 15 a multiple of 5? Yes! (15÷5=3) ✓
- 16: 16+1=17, is 17 a multiple of 5? No (17÷5=3.4)
- 18: 18+1=19, is 19 a multiple of 5? No (19÷5=3.8)

So the answer is 14 years old.

Let me verify: Is 14 a multiple of 2? Yes (14÷2=7). Is 14 equal to 15-1 where 15 is a multiple of 5? Yes. Is 14 between 10 and 20? Yes. ✓

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Final Answer:

1a) 25, 60, 95, 1000

1b) 82, 64, 70, 586

1c) 30, 9, 36, 24

1d) 90, 450, 710, 8000

2a) 5→25, 2→22, 3→27

2b) 3→18, 5→35, 10→310

3a) true

3b) false

3c) true

3d) false

4a) 28 (all others are multiples of 3)

4b) 31 (all others are even numbers)

5) Person 1: 15 years old; Person 2: 14 years old