Year 10 Ratio Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 ratio & rates worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Ratio & RatesYear 10 Ratio Worksheet — Level 3 — Practice Set 3 — Answers
Part A: Simplify
1.Simplify the ratio 2 : 2
Answer: 1 : 1
- HCF of 2 and 2 is 2
- Divide both parts by 2
2.Simplify the ratio 20 : 32
Answer: 5 : 8
- HCF of 20 and 32 is 4
- Divide both parts by 4
3.Simplify the ratio 14 : 14
Answer: 1 : 1
- HCF of 14 and 14 is 14
- Divide both parts by 14
4.Simplify the ratio 15 : 25
Answer: 3 : 5
- HCF of 15 and 25 is 5
- Divide both parts by 5
5.Simplify the ratio 70 : 50
Answer: 7 : 5
- HCF of 70 and 50 is 10
- Divide both parts by 10
6.Simplify the ratio 20 : 25
Answer: 4 : 5
- HCF of 20 and 25 is 5
- Divide both parts by 5
Part B: Divide in a ratio
7.Divide $145 in the ratio 4 : 1.
Answer: $116 and $29
- Total parts: 4 + 1 = 5
- One part: 145 ÷ 5 = 29
- 4 × 29 = 116 and 1 × 29 = 29
8.Divide $30 in the ratio 3 : 2.
Answer: $18 and $12
- Total parts: 3 + 2 = 5
- One part: 30 ÷ 5 = 6
- 3 × 6 = 18 and 2 × 6 = 12
9.Divide $280 in the ratio 3 : 5.
Answer: $105 and $175
- Total parts: 3 + 5 = 8
- One part: 280 ÷ 8 = 35
- 3 × 35 = 105 and 5 × 35 = 175
10.Divide $160 in the ratio 1 : 4.
Answer: $32 and $128
- Total parts: 1 + 4 = 5
- One part: 160 ÷ 5 = 32
- 1 × 32 = 32 and 4 × 32 = 128
11.Divide $120 in the ratio 3 : 5.
Answer: $45 and $75
- Total parts: 3 + 5 = 8
- One part: 120 ÷ 8 = 15
- 3 × 15 = 45 and 5 × 15 = 75
12.Divide $340 in the ratio 5 : 5.
Answer: $170 and $170
- Total parts: 5 + 5 = 10
- One part: 340 ÷ 10 = 34
- 5 × 34 = 170 and 5 × 34 = 170
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.