Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Factorise each quadratic.
1.Factorise: x2 − 12x + 32
Answer: (x − 8)(x − 4)
- Find two numbers that multiply to 32 and add to −12: −8 and −4
2.Factorise: x2 + 7x + 10
Answer: (x + 2)(x + 5)
- Find two numbers that multiply to 10 and add to 7: 2 and 5
3.Factorise: x2 + 4x − 32
Answer: (x − 4)(x + 8)
- Find two numbers that multiply to −32 and add to 4: −4 and 8
4.Factorise: x2 − 6x − 16
Answer: (x − 8)(x + 2)
- Find two numbers that multiply to −16 and add to −6: −8 and 2
5.Factorise: x2 + 12x + 36
Answer: (x + 6)(x + 6)
- Find two numbers that multiply to 36 and add to 12: 6 and 6
6.Factorise: x2 + 11x + 28
Answer: (x + 4)(x + 7)
- Find two numbers that multiply to 28 and add to 11: 4 and 7
7.Factorise: x2 − 7x + 6
Answer: (x − 1)(x − 6)
- Find two numbers that multiply to 6 and add to −7: −1 and −6
8.Factorise: x2 − 14x + 49
Answer: (x − 7)(x − 7)
- Find two numbers that multiply to 49 and add to −14: −7 and −7
9.Factorise: x2 − 5x − 6
Answer: (x + 1)(x − 6)
- Find two numbers that multiply to −6 and add to −5: 1 and −6
10.Factorise: x2 − 2x − 24
Answer: (x + 4)(x − 6)
- Find two numbers that multiply to −24 and add to −2: 4 and −6
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.