Printable · GCSE Higher · ages 14-16
Simplifying, expanding and factorising worksheet — GCSE Higher
Fifteen questions on "simplifying, expanding and factorising" — DfE statement A4. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
part Higher
Simplifying, expanding and factorising worksheet — GCSE Higher
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- 1.Simplify (x² − 9) ÷ (x² + 5x + 6).
- 2.A student is asked to simplify (6x³ − 15x²)/(4x² − 10x) fully. Four attempts are shown below. Which one is correct?
- 3.Factorise fully 5x + 5y − 5
- 4.Simplify (2x² + 7x + 3) ÷ (x² − 9), giving your answer as a single fraction.
- 5.Simplify fully: (x + 2)/(3x) × 6x²/(x² − 4)
- 6.Factorise x² − 3x − 10.
- 7.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 8.Factorise 3x² + 10x − 8.
- 9.Expand and simplify (2x − 1)(x + 5)(x − 2). Write down the coefficient of x in your answer.
- 10.Expand and simplify (x − 3)²
- 11.Simplify 5a/6 − a/3
- 12.Expand and simplify (x + 1)(x + 2)(x + 3).
- 13.Factorise x² − 64.
- 14.Factorise 6x² − 7x − 3.
- 15.Simplify 2/(x + 1) + 3/(x − 2), giving your answer as a single fraction.
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