GCSE · Algebraic manipulation

Simplifying expressionsExam-style questions

Why only like terms collect, why a + a and a × a are different animals, and how the index laws drive multiplying, dividing and raising algebraic terms to powers.

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12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Simplify fully $\dfrac{18x^5y^2}{6x^2y}$
Level 4 · 2 marksTry it
2
A rectangle has length $(3x + 2)$ cm and width $(2x - 1)$ cm.Diagram NOT accurately drawn

Write an expression, in its simplest form, for the perimeter of the rectangle.
Level 4 · 2 marksTry it
3
Simplify fully $\dfrac{24m^6n^3}{8m^2n^3}$
Level 4 · 2 marksTry it
4
Simplify $(5c^4)^2 \times 2c$
Level 4 · 2 marksTry it