Year 10 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Factorise each quadratic.
1.Factorise: x2 + 14x + 48
Answer: (x + 6)(x + 8)
- Find two numbers that multiply to 48 and add to 14: 6 and 8
2.Factorise: x2 + 8x + 12
Answer: (x + 2)(x + 6)
- Find two numbers that multiply to 12 and add to 8: 2 and 6
3.Factorise: x2 + 6x + 5
Answer: (x + 1)(x + 5)
- Find two numbers that multiply to 5 and add to 6: 1 and 5
4.Factorise: x2 − 2x − 8
Answer: (x − 4)(x + 2)
- Find two numbers that multiply to −8 and add to −2: −4 and 2
5.Factorise: x2 − x − 42
Answer: (x − 7)(x + 6)
- Find two numbers that multiply to −42 and add to −1: −7 and 6
6.Factorise: x2 + 12x + 27
Answer: (x + 3)(x + 9)
- Find two numbers that multiply to 27 and add to 12: 3 and 9
7.Factorise: x2 − 2x − 63
Answer: (x + 7)(x − 9)
- Find two numbers that multiply to −63 and add to −2: 7 and −9
8.Factorise: x2 + 2x − 24
Answer: (x + 6)(x − 4)
- Find two numbers that multiply to −24 and add to 2: 6 and −4
9.Factorise: x2 + 13x + 42
Answer: (x + 6)(x + 7)
- Find two numbers that multiply to 42 and add to 13: 6 and 7
10.Factorise: x2 + 7x + 10
Answer: (x + 5)(x + 2)
- Find two numbers that multiply to 10 and add to 7: 5 and 2
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.