Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · QuadraticsYear 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — Answers
Factorise each quadratic.
1.Factorise: x2 − 12x + 36
Answer: (x − 6)(x − 6)
- Find two numbers that multiply to 36 and add to −12: −6 and −6
2.Factorise: x2 − x − 72
Answer: (x + 8)(x − 9)
- Find two numbers that multiply to −72 and add to −1: 8 and −9
3.Factorise: x2 − 49
Answer: (x − 7)(x + 7)
- Find two numbers that multiply to −49 and add to 0: −7 and 7
4.Factorise: x2 + 8x + 15
Answer: (x + 3)(x + 5)
- Find two numbers that multiply to 15 and add to 8: 3 and 5
5.Factorise: x2 + 7x + 6
Answer: (x + 6)(x + 1)
- Find two numbers that multiply to 6 and add to 7: 6 and 1
6.Factorise: x2 + 8x − 9
Answer: (x − 1)(x + 9)
- Find two numbers that multiply to −9 and add to 8: −1 and 9
7.Factorise: x2 − 2x − 48
Answer: (x − 8)(x + 6)
- Find two numbers that multiply to −48 and add to −2: −8 and 6
8.Factorise: x2 − 8x + 15
Answer: (x − 3)(x − 5)
- Find two numbers that multiply to 15 and add to −8: −3 and −5
9.Factorise: x2 + 5x − 24
Answer: (x + 8)(x − 3)
- Find two numbers that multiply to −24 and add to 5: 8 and −3
10.Factorise: x2 − 3x − 40
Answer: (x − 8)(x + 5)
- Find two numbers that multiply to −40 and add to −3: −8 and 5
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.