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
MathsUKwww.geekhero.co.uk
- 1.Expand and simplify (x + 1)(x + 2)(x + 3).
- 2.Factorise x² − 3x − 10.
- 3.Subtract, giving your answer as a single fraction in its simplest form: 4/(x − 1) − 2/(x + 3)
- 4.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.
- 5.Factorise 6x² − 7x − 3.
- 6.Factorise x² − 64.
- 7.Simplify 5a/6 − a/3
- 8.Simplify fully: (x + 2)/(3x) × 6x²/(x² − 4)
- 9.Simplify 2/(x + 1) + 3/(x − 2), giving your answer as a single fraction.
- 10.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 11.Factorise fully 56x − 24
- 12.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 13.Factorise fully 12x² + 18x.
- 14.Factorise fully 5x + 5y − 5
- 15.Expand and simplify (x − 3)²
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