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 + 10x + 16
Answer: (x + 8)(x + 2)
- Find two numbers that multiply to 16 and add to 10: 8 and 2
2.Factorise: x2 − 4
Answer: (x − 2)(x + 2)
- Find two numbers that multiply to −4 and add to 0: −2 and 2
3.Factorise: x2 + 6x − 27
Answer: (x + 9)(x − 3)
- Find two numbers that multiply to −27 and add to 6: 9 and −3
4.Factorise: x2 + 9x + 18
Answer: (x + 6)(x + 3)
- Find two numbers that multiply to 18 and add to 9: 6 and 3
5.Factorise: x2 + 13x + 42
Answer: (x + 7)(x + 6)
- Find two numbers that multiply to 42 and add to 13: 7 and 6
6.Factorise: x2 − 5x + 4
Answer: (x − 1)(x − 4)
- Find two numbers that multiply to 4 and add to −5: −1 and −4
7.Factorise: x2 + 5x + 6
Answer: (x + 2)(x + 3)
- Find two numbers that multiply to 6 and add to 5: 2 and 3
8.Factorise: x2 − x − 12
Answer: (x − 4)(x + 3)
- Find two numbers that multiply to −12 and add to −1: −4 and 3
9.Factorise: x2 − 1
Answer: (x − 1)(x + 1)
- Find two numbers that multiply to −1 and add to 0: −1 and 1
10.Factorise: x2 + 12x + 36
Answer: (x + 6)(x + 6)
- Find two numbers that multiply to 36 and add to 12: 6 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.