9th Grade Ratio Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade ratios & rates worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Ratio & Rates9th Grade Ratio Worksheet — Level 2 — Practice Set 4 — Answers
Part A: Simplify
1.Simplify the ratio 48 : 6
Answer: 8 : 1
- HCF of 48 and 6 is 6
- Divide both parts by 6
2.Simplify the ratio 12 : 18
Answer: 2 : 3
- HCF of 12 and 18 is 6
- Divide both parts by 6
3.Simplify the ratio 42 : 6
Answer: 7 : 1
- HCF of 42 and 6 is 6
- Divide both parts by 6
4.Simplify the ratio 12 : 84
Answer: 1 : 7
- HCF of 12 and 84 is 12
- Divide both parts by 12
5.Simplify the ratio 36 : 30
Answer: 6 : 5
- HCF of 36 and 30 is 6
- Divide both parts by 6
6.Simplify the ratio 81 : 81
Answer: 1 : 1
- HCF of 81 and 81 is 81
- Divide both parts by 81
Part B: Divide in a ratio
7.Divide $70 in the ratio 5 : 5.
Answer: $35 and $35
- Total parts: 5 + 5 = 10
- One part: 70 ÷ 10 = 7
- 5 × 7 = 35 and 5 × 7 = 35
8.Divide $30 in the ratio 5 : 5.
Answer: $15 and $15
- Total parts: 5 + 5 = 10
- One part: 30 ÷ 10 = 3
- 5 × 3 = 15 and 5 × 3 = 15
9.Divide $40 in the ratio 2 : 3.
Answer: $16 and $24
- Total parts: 2 + 3 = 5
- One part: 40 ÷ 5 = 8
- 2 × 8 = 16 and 3 × 8 = 24
10.Divide $21 in the ratio 4 : 3.
Answer: $12 and $9
- Total parts: 4 + 3 = 7
- One part: 21 ÷ 7 = 3
- 4 × 3 = 12 and 3 × 3 = 9
11.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
12.Divide $66 in the ratio 4 : 2.
Answer: $44 and $22
- Total parts: 4 + 2 = 6
- One part: 66 ÷ 6 = 11
- 4 × 11 = 44 and 2 × 11 = 22
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.