Year 9 Surds Worksheet — Level 1 — 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 — Answers
Write each answer in simplest surd form: √a × √b = √(ab), and look for square factors (4, 9, 16, 25, 36…).
1.Simplify √250.
Answer: 5√10
- 250 = 25 × 10
- √250 = √25 × √10 = 5√10
2.Simplify √48.
Answer: 4√3
- 48 = 16 × 3
- √48 = √16 × √3 = 4√3
3.Simplify √60.
Answer: 2√15
- 60 = 4 × 15
- √60 = √4 × √15 = 2√15
4.Simplify √125.
Answer: 5√5
- 125 = 25 × 5
- √125 = √25 × √5 = 5√5
5.Simplify √24.
Answer: 2√6
- 24 = 4 × 6
- √24 = √4 × √6 = 2√6
6.Simplify √96.
Answer: 4√6
- 96 = 16 × 6
- √96 = √16 × √6 = 4√6
7.Simplify √80.
Answer: 4√5
- 80 = 16 × 5
- √80 = √16 × √5 = 4√5
8.Simplify √32.
Answer: 4√2
- 32 = 16 × 2
- √32 = √16 × √2 = 4√2
9.Simplify √56.
Answer: 2√14
- 56 = 4 × 14
- √56 = √4 × √14 = 2√14
10.Simplify √75.
Answer: 5√3
- 75 = 25 × 3
- √75 = √25 × √3 = 5√3
11.Simplify √99.
Answer: 3√11
- 99 = 9 × 11
- √99 = √9 × √11 = 3√11
12.Simplify √18.
Answer: 3√2
- 18 = 9 × 2
- √18 = √9 × √2 = 3√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.