Year 11 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · QuadraticsYear 11 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 2 — Answers
Factorise each quadratic.
1.Factorise: x2 − 3x + 2
Answer: (x − 2)(x − 1)
- Find two numbers that multiply to 2 and add to −3: −2 and −1
2.Factorise: x2 − 14x + 48
Answer: (x − 6)(x − 8)
- Find two numbers that multiply to 48 and add to −14: −6 and −8
3.Factorise: x2 + 14x + 49
Answer: (x + 7)(x + 7)
- Find two numbers that multiply to 49 and add to 14: 7 and 7
4.Factorise: x2 + 10x + 9
Answer: (x + 1)(x + 9)
- Find two numbers that multiply to 9 and add to 10: 1 and 9
5.Factorise: x2 − 9x + 8
Answer: (x − 8)(x − 1)
- Find two numbers that multiply to 8 and add to −9: −8 and −1
6.Factorise: x2 − 4
Answer: (x − 2)(x + 2)
- Find two numbers that multiply to −4 and add to 0: −2 and 2
7.Factorise: x2 − 9
Answer: (x + 3)(x − 3)
- Find two numbers that multiply to −9 and add to 0: 3 and −3
8.Factorise: x2 + 2x − 8
Answer: (x − 2)(x + 4)
- Find two numbers that multiply to −8 and add to 2: −2 and 4
9.Factorise: x2 − 18x + 81
Answer: (x − 9)(x − 9)
- Find two numbers that multiply to 81 and add to −18: −9 and −9
10.Factorise: x2 − 6x − 27
Answer: (x − 9)(x + 3)
- Find two numbers that multiply to −27 and add to −6: −9 and 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.