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.Factorise x² − 64.
- 2.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 3.Expand and simplify (x − 3)²
- 4.Simplify (x² − 9) ÷ (x² + 5x + 6).
- 5.Expand and simplify (x + 1)(x + 2)(x + 3).
- 6.Factorise fully 56x − 24
- 7.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.
- 8.Subtract, giving your answer as a single fraction in its simplest form: 4/(x − 1) − 2/(x + 3)
- 9.A student is asked to simplify (6x³ − 15x²)/(4x² − 10x) fully. Four attempts are shown below. Which one is correct?
- 10.Factorise 6x² − 7x − 3.
- 11.Factorise fully 12x² + 18x.
- 12.Simplify 5a/6 − a/3
- 13.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 14.Factorise fully 5x + 5y − 5
- 15.Factorise 3x² + 10x − 8.
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