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 − 6x − 7
Answer: (x + 1)(x − 7)
- Find two numbers that multiply to −7 and add to −6: 1 and −7
2.Factorise: x2 + x − 20
Answer: (x − 4)(x + 5)
- Find two numbers that multiply to −20 and add to 1: −4 and 5
3.Factorise: x2 − 25
Answer: (x − 5)(x + 5)
- Find two numbers that multiply to −25 and add to 0: −5 and 5
4.Factorise: x2 − 6x + 9
Answer: (x − 3)(x − 3)
- Find two numbers that multiply to 9 and add to −6: −3 and −3
5.Factorise: x2 + 2x − 8
Answer: (x + 4)(x − 2)
- Find two numbers that multiply to −8 and add to 2: 4 and −2
6.Factorise: x2 + 7x + 12
Answer: (x + 3)(x + 4)
- Find two numbers that multiply to 12 and add to 7: 3 and 4
7.Factorise: x2 + 2x − 3
Answer: (x − 1)(x + 3)
- Find two numbers that multiply to −3 and add to 2: −1 and 3
8.Factorise: x2 − 2x − 3
Answer: (x − 3)(x + 1)
- Find two numbers that multiply to −3 and add to −2: −3 and 1
9.Factorise: x2 − 8x + 16
Answer: (x − 4)(x − 4)
- Find two numbers that multiply to 16 and add to −8: −4 and −4
10.Factorise: x2 + 4x − 45
Answer: (x − 5)(x + 9)
- Find two numbers that multiply to −45 and add to 4: −5 and 9
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.