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 HigherNon-calculator
Simplifying, expanding and factorising worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 2.Simplify 5a/6 − a/3
- 3.Expand and simplify 2(a + 6) − 2(a − 7)
- 4.Factorise fully 5x + 5y − 5
- 5.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 6.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.
- 7.Simplify fully: (x + 2)/(3x) × 6x²/(x² − 4)
- 8.Expand and simplify (2x − 1)(x + 5)(x − 2). Write down the coefficient of x in your answer.
- 9.A student is asked to simplify (6x³ − 15x²)/(4x² − 10x) fully. Four attempts are shown below. Which one is correct?
- 10.Simplify (x² − 9) ÷ (x² + 5x + 6).
- 11.Factorise 6x² − 7x − 3.
- 12.Expand and simplify (x + 1)(x + 2)(x + 3).
- 13.Factorise x² − 3x − 10.
- 14.Factorise fully 56x − 24
- 15.Factorise 3x² + 10x − 8.
Build your own mix at the worksheet builder.