Success TutoringWorksheets

Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 11 quadratics worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Quadratics

Year 11 Factorising and Solving Quadratics Worksheet — Level 2 — Practice Set 4 — Answers

Factorise, then use the null factor law.

1.Solve: x2 − 2x − 35 = 0

Answer: x = −5 or x = 7

  1. Factorise: (x + 5)(x − 7) = 0
  2. Null factor law: x + 5 = 0 or x − 7 = 0
  3. x = −5 or x = 7
2.Solve: x2 − 3x + 2 = 0

Answer: x = 2 or x = 1

  1. Factorise: (x − 2)(x − 1) = 0
  2. Null factor law: x − 2 = 0 or x − 1 = 0
  3. x = 2 or x = 1
3.Solve: x2 + 7x + 12 = 0

Answer: x = −3 or x = −4

  1. Factorise: (x + 3)(x + 4) = 0
  2. Null factor law: x + 3 = 0 or x + 4 = 0
  3. x = −3 or x = −4
4.Solve: x2 − 6x + 8 = 0

Answer: x = 4 or x = 2

  1. Factorise: (x − 4)(x − 2) = 0
  2. Null factor law: x − 4 = 0 or x − 2 = 0
  3. x = 4 or x = 2
5.Solve: x2 + 15x + 54 = 0

Answer: x = −9 or x = −6

  1. Factorise: (x + 9)(x + 6) = 0
  2. Null factor law: x + 9 = 0 or x + 6 = 0
  3. x = −9 or x = −6
6.Solve: x2 − 8x + 12 = 0

Answer: x = 6 or x = 2

  1. Factorise: (x − 6)(x − 2) = 0
  2. Null factor law: x − 6 = 0 or x − 2 = 0
  3. x = 6 or x = 2
7.Solve: x2 + 11x + 24 = 0

Answer: x = −8 or x = −3

  1. Factorise: (x + 8)(x + 3) = 0
  2. Null factor law: x + 8 = 0 or x + 3 = 0
  3. x = −8 or x = −3
8.Solve: x2 + 16x + 63 = 0

Answer: x = −7 or x = −9

  1. Factorise: (x + 7)(x + 9) = 0
  2. Null factor law: x + 7 = 0 or x + 9 = 0
  3. x = −7 or x = −9
9.Solve: x2 + 18x + 81 = 0

Answer: x = −9 or x = −9

  1. Factorise: (x + 9)(x + 9) = 0
  2. Null factor law: x + 9 = 0 or x + 9 = 0
  3. x = −9 or x = −9
10.Solve: x2 − 15x + 54 = 0

Answer: x = 9 or x = 6

  1. Factorise: (x − 9)(x − 6) = 0
  2. Null factor law: x − 9 = 0 or x − 6 = 0
  3. x = 9 or x = 6
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.

Great work. Here's what to try next: