6th Grade Ratio Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 6th Grade ratios & rates worksheet.
6th Grade Ratio Worksheet — Level 1 — Practice Set 2 — Answers
Part A: Simplify
1.Simplify the ratio 9 : 21
Answer: 3 : 7
- HCF of 9 and 21 is 3
- Divide both parts by 3
2.Simplify the ratio 16 : 2
Answer: 8 : 1
- HCF of 16 and 2 is 2
- Divide both parts by 2
3.Simplify the ratio 6 : 12
Answer: 1 : 2
- HCF of 6 and 12 is 6
- Divide both parts by 6
4.Simplify the ratio 12 : 8
Answer: 3 : 2
- HCF of 12 and 8 is 4
- Divide both parts by 4
5.Simplify the ratio 28 : 36
Answer: 7 : 9
- HCF of 28 and 36 is 4
- Divide both parts by 4
6.Simplify the ratio 14 : 14
Answer: 1 : 1
- HCF of 14 and 14 is 14
- Divide both parts by 14
Part B: Divide in a ratio
7.Divide $66 in the ratio 5 : 1.
Answer: $55 and $11
- Total parts: 5 + 1 = 6
- One part: 66 ÷ 6 = 11
- 5 × 11 = 55 and 1 × 11 = 11
8.Divide $80 in the ratio 3 : 5.
Answer: $30 and $50
- Total parts: 3 + 5 = 8
- One part: 80 ÷ 8 = 10
- 3 × 10 = 30 and 5 × 10 = 50
9.Divide $28 in the ratio 1 : 3.
Answer: $7 and $21
- Total parts: 1 + 3 = 4
- One part: 28 ÷ 4 = 7
- 1 × 7 = 7 and 3 × 7 = 21
10.Divide $15 in the ratio 2 : 3.
Answer: $6 and $9
- Total parts: 2 + 3 = 5
- One part: 15 ÷ 5 = 3
- 2 × 3 = 6 and 3 × 3 = 9
11.Divide $70 in the ratio 4 : 3.
Answer: $40 and $30
- Total parts: 4 + 3 = 7
- One part: 70 ÷ 7 = 10
- 4 × 10 = 40 and 3 × 10 = 30
12.Divide $50 in the ratio 3 : 2.
Answer: $30 and $20
- Total parts: 3 + 2 = 5
- One part: 50 ÷ 5 = 10
- 3 × 10 = 30 and 2 × 10 = 20
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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