6th Grade Ratio Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 6th Grade ratios & rates worksheet.
6th Grade Ratio Worksheet — Level 1 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 12 : 8
Answer: 3 : 2
- HCF of 12 and 8 is 4
- Divide both parts by 4
2.Simplify the ratio 12 : 15
Answer: 4 : 5
- HCF of 12 and 15 is 3
- Divide both parts by 3
3.Simplify the ratio 8 : 16
Answer: 1 : 2
- HCF of 8 and 16 is 8
- Divide both parts by 8
4.Simplify the ratio 8 : 14
Answer: 4 : 7
- HCF of 8 and 14 is 2
- Divide both parts by 2
5.Simplify the ratio 32 : 8
Answer: 4 : 1
- HCF of 32 and 8 is 8
- Divide both parts by 8
6.Simplify the ratio 4 : 4
Answer: 1 : 1
- HCF of 4 and 4 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $96 in the ratio 3 : 5.
Answer: $36 and $60
- Total parts: 3 + 5 = 8
- One part: 96 ÷ 8 = 12
- 3 × 12 = 36 and 5 × 12 = 60
8.Divide $15 in the ratio 2 : 1.
Answer: $10 and $5
- Total parts: 2 + 1 = 3
- One part: 15 ÷ 3 = 5
- 2 × 5 = 10 and 1 × 5 = 5
9.Divide $21 in the ratio 3 : 4.
Answer: $9 and $12
- Total parts: 3 + 4 = 7
- One part: 21 ÷ 7 = 3
- 3 × 3 = 9 and 4 × 3 = 12
10.Divide $48 in the ratio 4 : 2.
Answer: $32 and $16
- Total parts: 4 + 2 = 6
- One part: 48 ÷ 6 = 8
- 4 × 8 = 32 and 2 × 8 = 16
11.Divide $16 in the ratio 3 : 5.
Answer: $6 and $10
- Total parts: 3 + 5 = 8
- One part: 16 ÷ 8 = 2
- 3 × 2 = 6 and 5 × 2 = 10
12.Divide $24 in the ratio 4 : 2.
Answer: $16 and $8
- Total parts: 4 + 2 = 6
- One part: 24 ÷ 6 = 4
- 4 × 4 = 16 and 2 × 4 = 8
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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