Year 9 Surds Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √208.
Answer: 4√13
- 208 = 16 × 13
- √208 = √16 × √13 = 4√13
2.Simplify √275.
Answer: 5√11
- 275 = 25 × 11
- √275 = √25 × √11 = 5√11
3.Simplify √504.
Answer: 6√14
- 504 = 36 × 14
- √504 = √36 × √14 = 6√14
4.Simplify √180.
Answer: 6√5
- 180 = 36 × 5
- √180 = √36 × √5 = 6√5
5.Simplify √60.
Answer: 2√15
- 60 = 4 × 15
- √60 = √4 × √15 = 2√15
6.Simplify √12.
Answer: 2√3
- 12 = 4 × 3
- √12 = √4 × √3 = 2√3
7.Simplify √175.
Answer: 5√7
- 175 = 25 × 7
- √175 = √25 × √7 = 5√7
8.Simplify √56.
Answer: 2√14
- 56 = 4 × 14
- √56 = √4 × √14 = 2√14
9.Simplify √125.
Answer: 5√5
- 125 = 25 × 5
- √125 = √25 × √5 = 5√5
10.Simplify √24.
Answer: 2√6
- 24 = 4 × 6
- √24 = √4 × √6 = 2√6
11.Simplify √80.
Answer: 4√5
- 80 = 16 × 5
- √80 = √16 × √5 = 4√5
12.Simplify √160.
Answer: 4√10
- 160 = 16 × 10
- √160 = √16 × √10 = 4√10
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.