6th Grade Ratio Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 6th Grade ratios & rates worksheet.
6th Grade Ratio Worksheet — Level 1 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 10 : 10
Answer: 1 : 1
- HCF of 10 and 10 is 10
- Divide both parts by 10
2.Simplify the ratio 28 : 32
Answer: 7 : 8
- HCF of 28 and 32 is 4
- Divide both parts by 4
3.Simplify the ratio 12 : 21
Answer: 4 : 7
- HCF of 12 and 21 is 3
- Divide both parts by 3
4.Simplify the ratio 36 : 4
Answer: 9 : 1
- HCF of 36 and 4 is 4
- Divide both parts by 4
5.Simplify the ratio 24 : 9
Answer: 8 : 3
- HCF of 24 and 9 is 3
- Divide both parts by 3
6.Simplify the ratio 36 : 32
Answer: 9 : 8
- HCF of 36 and 32 is 4
- Divide both parts by 4
Part B: Divide in a ratio
7.Divide $20 in the ratio 2 : 2.
Answer: $10 and $10
- Total parts: 2 + 2 = 4
- One part: 20 ÷ 4 = 5
- 2 × 5 = 10 and 2 × 5 = 10
8.Divide $32 in the ratio 5 : 3.
Answer: $20 and $12
- Total parts: 5 + 3 = 8
- One part: 32 ÷ 8 = 4
- 5 × 4 = 20 and 3 × 4 = 12
9.Divide $90 in the ratio 5 : 5.
Answer: $45 and $45
- Total parts: 5 + 5 = 10
- One part: 90 ÷ 10 = 9
- 5 × 9 = 45 and 5 × 9 = 45
10.Divide $72 in the ratio 4 : 5.
Answer: $32 and $40
- Total parts: 4 + 5 = 9
- One part: 72 ÷ 9 = 8
- 4 × 8 = 32 and 5 × 8 = 40
11.Divide $25 in the ratio 2 : 3.
Answer: $10 and $15
- Total parts: 2 + 3 = 5
- One part: 25 ÷ 5 = 5
- 2 × 5 = 10 and 3 × 5 = 15
12.Divide $80 in the ratio 5 : 3.
Answer: $50 and $30
- Total parts: 5 + 3 = 8
- One part: 80 ÷ 8 = 10
- 5 × 10 = 50 and 3 × 10 = 30
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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