Year 9 Surds Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 indices & scientific notation worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Indices & Scientific NotationYear 9 Surds Worksheet — Level 1 — Practice Set 3 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √56.
Answer: 2√14
- 56 = 4 × 14
- √56 = √4 × √14 = 2√14
2.Simplify √75.
Answer: 5√3
- 75 = 25 × 3
- √75 = √25 × √3 = 5√3
3.Simplify √375.
Answer: 5√15
- 375 = 25 × 15
- √375 = √25 × √15 = 5√15
4.Simplify √275.
Answer: 5√11
- 275 = 25 × 11
- √275 = √25 × √11 = 5√11
5.Simplify √135.
Answer: 3√15
- 135 = 9 × 15
- √135 = √9 × √15 = 3√15
6.Simplify √468.
Answer: 6√13
- 468 = 36 × 13
- √468 = √36 × √13 = 6√13
7.Simplify √176.
Answer: 4√11
- 176 = 16 × 11
- √176 = √16 × √11 = 4√11
8.Simplify √99.
Answer: 3√11
- 99 = 9 × 11
- √99 = √9 × √11 = 3√11
9.Simplify √150.
Answer: 5√6
- 150 = 25 × 6
- √150 = √25 × √6 = 5√6
10.Simplify √52.
Answer: 2√13
- 52 = 4 × 13
- √52 = √4 × √13 = 2√13
11.Simplify √27.
Answer: 3√3
- 27 = 9 × 3
- √27 = √9 × √3 = 3√3
12.Simplify √108.
Answer: 6√3
- 108 = 36 × 3
- √108 = √36 × √3 = 6√3
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.