Ratios Worksheet: Fill in the blanks to make the ratios equivalent.

Let’s solve each problem step by step. We’re making equivalent ratios — that means we multiply or divide both parts of the ratio by the same number to keep them equal.

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(1) 1 : 2 = ___ : 4 = ___ : 6 = 4 : ___ = ___ : 10 = 6 : ___

Start with 1:2
→ To get second term 4, multiply both by 2 → 2 : 4
→ To get second term 6, multiply both by 3 → 3 : 6
→ First term is 4, so multiply 1:2 by 4 → 4 : 8
→ Second term is 10, so multiply 1:2 by 5 → 5 : 10
→ First term is 6, so multiply 1:2 by 6 → 6 : 12

✔ Answers: 2, 3, 8, 5, 12

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(2) 1 : 3 = ___ : 6 = 3 : ___ = ___ : 12 = 5 : ___ = 6 : ___

1:3
→ ×2 → 2 : 6
→ First term 3 → ×3 → 3 : 9
→ Second term 12 → ×4 → 4 : 12
→ First term 5 → ×5 → 5 : 15
→ First term 6 → ×6 → 6 : 18

✔ Answers: 2, 9, 4, 15, 18

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(3) 1 : 7 = ___ : 14 = ___ : 21 = 4 : ___ = 5 : ___ = ___ : 42

1:7
→ ×2 → 2 : 14
→ ×3 → 3 : 21
→ First term 4 → ×4 → 4 : 28
→ First term 5 → ×5 → 5 : 35
→ Second term 42 → ×6 → 6 : 42

✔ Answers: 2, 3, 28, 35, 6

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(4) 2 : 5 = ___ : 10 = ___ : 15 = 8 : ___ = ___ : 25 = ___ : 30

2:5
→ ×2 → 4 : 10
→ ×3 → 6 : 15
→ First term 8 → ×4 → 8 : 20
→ Second term 25 → ×5 → 10 : 25
→ Second term 30 → ×6 → 12 : 30

✔ Answers: 4, 6, 20, 10, 12

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(5) 2 : 4 = ___ : 8 = ___ : 12 = 8 : ___ = ___ : 20 = 12 : ___

Simplify 2:4 → it’s same as 1:2 (but we’ll use 2:4 directly)

→ ×2 → 4 : 8
→ ×3 → 6 : 12
→ First term 8 → ×4 → 8 : 16
→ Second term 20 → ×5 → 10 : 20
→ First term 12 → ×6 → 12 : 24

✔ Answers: 4, 6, 16, 10, 24

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(6) 5 : 9 = 10 : ___ = 15 : ___ = 20 : ___ = 25 : ___ = ___ : 54

5:9
→ ×2 → 10 : 18
→ ×3 → 15 : 27
→ ×4 → 20 : 36
→ ×5 → 25 : 45
→ Second term 54 → ×6 → 30 : 54

✔ Answers: 18, 27, 36, 45, 30

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(7) 1 : 5 = ___ : 10 = 3 : ___ = 4 : ___ = 5 : ___ = 6 : ___

1:5
→ ×2 → 2 : 10
→ First term 3 → ×3 → 3 : 15
→ First term 4 → ×4 → 4 : 20
→ First term 5 → ×5 → 5 : 25
→ First term 6 → ×6 → 6 : 30

✔ Answers: 2, 15, 20, 25, 30

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(8) 3 : 2 = ___ : 4 = ___ : 6 = 12 : ___ = ___ : 10 = 18 : ___

3:2
→ ×2 → 6 : 4
→ ×3 → 9 : 6
→ First term 12 → ×4 → 12 : 8
→ Second term 10 → ×5 → 15 : 10
→ First term 18 → ×6 → 18 : 12

✔ Answers: 6, 9, 8, 15, 12

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(9) 1 : 8 = ___ : 16 = ___ : 24 = 4 : ___ = ___ : 40 = ___ : 48

1:8
→ ×2 → 2 : 16
→ ×3 → 3 : 24
→ First term 4 → ×4 → 4 : 32
→ Second term 40 → ×5 → 5 : 40
→ Second term 48 → ×6 → 6 : 48

✔ Answers: 2, 3, 32, 5, 6

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(10) 3 : 1 = ___ : 2 = ___ : 3 = 12 : ___ = 15 : ___ = ___ : 6

3:1
→ ×2 → 6 : 2
→ ×3 → 9 : 3
→ First term 12 → ×4 → 12 : 4
→ First term 15 → ×5 → 15 : 5
→ Second term 6 → ×6 → 18 : 6

✔ Answers: 6, 9, 4, 5, 18

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Final Answer:
(1) 2, 3, 8, 5, 12
(2) 2, 9, 4, 15, 18
(3) 2, 3, 28, 35, 6
(4) 4, 6, 20, 10, 12
(5) 4, 6, 16, 10, 24
(6) 18, 27, 36, 45, 30
(7) 2, 15, 20, 25, 30
(8) 6, 9, 8, 15, 12
(9) 2, 3, 32, 5, 6
(10) 6, 9, 4, 5, 18