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.
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Simplifying, expanding and factorising worksheet — GCSE Higher
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- 1.Factorise x² − 3x − 10.
- 2.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 3.Expand and simplify (2x − 1)(x + 5)(x − 2). Write down the coefficient of x in your answer.
- 4.Simplify fully: (x + 2)/(3x) × 6x²/(x² − 4)
- 5.Simplify 2/(x + 1) + 3/(x − 2), giving your answer as a single fraction.
- 6.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 7.A rectangle has length (2x + 5) cm and width (x − 2) cm. Work out an expression, in terms of x, for the perimeter of the rectangle. Give your answer in its simplest form.
- 8.Factorise fully 5x + 5y − 5
- 9.Expand and simplify 2(a + 6) − 2(a − 7)
- 10.Simplify (x² − 9) ÷ (x² + 5x + 6).
- 11.Factorise fully 12x² + 18x.
- 12.Expand and simplify (x − 3)²
- 13.A student is asked to simplify (6x³ − 15x²)/(4x² − 10x) fully. Four attempts are shown below. Which one is correct?
- 14.Subtract, giving your answer as a single fraction in its simplest form: 4/(x − 1) − 2/(x + 3)
- 15.Simplify 5a/6 − a/3
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