Year 11 Factorising and Solving Quadratics Worksheet — Level 1 — 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 — Answers
Factorise each quadratic.
1.Factorise: x2 + 4x − 12
Answer: (x − 2)(x + 6)
- Find two numbers that multiply to −12 and add to 4: −2 and 6
2.Factorise: x2 + 4x + 3
Answer: (x + 3)(x + 1)
- Find two numbers that multiply to 3 and add to 4: 3 and 1
3.Factorise: x2 + 12x + 32
Answer: (x + 8)(x + 4)
- Find two numbers that multiply to 32 and add to 12: 8 and 4
4.Factorise: x2 + 4x − 32
Answer: (x + 8)(x − 4)
- Find two numbers that multiply to −32 and add to 4: 8 and −4
5.Factorise: x2 − 17x + 72
Answer: (x − 8)(x − 9)
- Find two numbers that multiply to 72 and add to −17: −8 and −9
6.Factorise: x2 + x − 12
Answer: (x + 4)(x − 3)
- Find two numbers that multiply to −12 and add to 1: 4 and −3
7.Factorise: x2 − x − 20
Answer: (x + 4)(x − 5)
- Find two numbers that multiply to −20 and add to −1: 4 and −5
8.Factorise: x2 − 4x + 4
Answer: (x − 2)(x − 2)
- Find two numbers that multiply to 4 and add to −4: −2 and −2
9.Factorise: x2 − x − 42
Answer: (x + 6)(x − 7)
- Find two numbers that multiply to −42 and add to −1: 6 and −7
10.Factorise: x2 − 14x + 45
Answer: (x − 9)(x − 5)
- Find two numbers that multiply to 45 and add to −14: −9 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.