Year 10 Surds Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Indices & Scientific NotationYear 10 Surds Worksheet — Level 1 — Practice Set 2 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √216.
Answer: 6√6
- 216 = 36 × 6
- √216 = √36 × √6 = 6√6
2.Simplify √224.
Answer: 4√14
- 224 = 16 × 14
- √224 = √16 × √14 = 4√14
3.Simplify √24.
Answer: 2√6
- 24 = 4 × 6
- √24 = √4 × √6 = 2√6
4.Simplify √12.
Answer: 2√3
- 12 = 4 × 3
- √12 = √4 × √3 = 2√3
5.Simplify √80.
Answer: 4√5
- 80 = 16 × 5
- √80 = √16 × √5 = 4√5
6.Simplify √252.
Answer: 6√7
- 252 = 36 × 7
- √252 = √36 × √7 = 6√7
7.Simplify √99.
Answer: 3√11
- 99 = 9 × 11
- √99 = √9 × √11 = 3√11
8.Simplify √52.
Answer: 2√13
- 52 = 4 × 13
- √52 = √4 × √13 = 2√13
9.Simplify √126.
Answer: 3√14
- 126 = 9 × 14
- √126 = √9 × √14 = 3√14
10.Simplify √56.
Answer: 2√14
- 56 = 4 × 14
- √56 = √4 × √14 = 2√14
11.Simplify √8.
Answer: 2√2
- 8 = 4 × 2
- √8 = √4 × √2 = 2√2
12.Simplify √72.
Answer: 6√2
- 72 = 36 × 2
- √72 = √36 × √2 = 6√2
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.