Year 12 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 12 quadratics worksheet.
Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · QuadraticsYear 12 Factorising and Solving Quadratics Worksheet — Level 1 — Practice Set 4 — Answers
Factorise each quadratic.
1.Factorise: x2 + 13x + 42
Answer: (x + 6)(x + 7)
- Find two numbers that multiply to 42 and add to 13: 6 and 7
2.Factorise: x2 + 5x − 36
Answer: (x − 4)(x + 9)
- Find two numbers that multiply to −36 and add to 5: −4 and 9
3.Factorise: x2 − 5x − 6
Answer: (x + 1)(x − 6)
- Find two numbers that multiply to −6 and add to −5: 1 and −6
4.Factorise: x2 − 14x + 48
Answer: (x − 6)(x − 8)
- Find two numbers that multiply to 48 and add to −14: −6 and −8
5.Factorise: x2 − 1
Answer: (x + 1)(x − 1)
- Find two numbers that multiply to −1 and add to 0: 1 and −1
6.Factorise: x2 + 13x + 40
Answer: (x + 8)(x + 5)
- Find two numbers that multiply to 40 and add to 13: 8 and 5
7.Factorise: x2 + 3x − 28
Answer: (x − 4)(x + 7)
- Find two numbers that multiply to −28 and add to 3: −4 and 7
8.Factorise: x2 + 13x + 36
Answer: (x + 4)(x + 9)
- Find two numbers that multiply to 36 and add to 13: 4 and 9
9.Factorise: x2 + 11x + 24
Answer: (x + 8)(x + 3)
- Find two numbers that multiply to 24 and add to 11: 8 and 3
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.