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 √8.
Answer: 2√2
- 8 = 4 × 2
- √8 = √4 × √2 = 2√2
2.Simplify √275.
Answer: 5√11
- 275 = 25 × 11
- √275 = √25 × √11 = 5√11
3.Simplify √160.
Answer: 4√10
- 160 = 16 × 10
- √160 = √16 × √10 = 4√10
4.Simplify √108.
Answer: 6√3
- 108 = 36 × 3
- √108 = √36 × √3 = 6√3
5.Simplify √540.
Answer: 6√15
- 540 = 36 × 15
- √540 = √36 × √15 = 6√15
6.Simplify √150.
Answer: 5√6
- 150 = 25 × 6
- √150 = √25 × √6 = 5√6
7.Simplify √224.
Answer: 4√14
- 224 = 16 × 14
- √224 = √16 × √14 = 4√14
8.Simplify √75.
Answer: 5√3
- 75 = 25 × 3
- √75 = √25 × √3 = 5√3
9.Simplify √180.
Answer: 6√5
- 180 = 36 × 5
- √180 = √36 × √5 = 6√5
10.Simplify √50.
Answer: 5√2
- 50 = 25 × 2
- √50 = √25 × √2 = 5√2
11.Simplify √28.
Answer: 2√7
- 28 = 4 × 7
- √28 = √4 × √7 = 2√7
12.Simplify √56.
Answer: 2√14
- 56 = 4 × 14
- √56 = √4 × √14 = 2√14
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.