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.Simplify fully: (x + 2)/(3x) × 6x²/(x² − 4)
- 2.A rectangular garden has length (x + 7) m and width (x − 7) m. Work out an expression for the area of the garden, giving your answer in its simplest form.
- 3.Simplify 2/(x + 1) + 3/(x − 2), giving your answer as a single fraction.
- 4.Factorise 6x² − 7x − 3.
- 5.Factorise x² − 3x − 10.
- 6.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.
- 7.Factorise fully 56x − 24
- 8.Expand and simplify (x + 1)(x + 2)(x + 3).
- 9.Factorise 3x² + 10x − 8.
- 10.Expand and simplify (x − 3)²
- 11.Simplify (2x² + 7x + 3) ÷ (x² − 9), giving your answer as a single fraction.
- 12.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 13.Subtract, giving your answer as a single fraction in its simplest form: 4/(x − 1) − 2/(x + 3)
- 14.Simplify 5a/6 − a/3
- 15.Factorise fully 12x² + 18x.
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