GCSE · Linear equations

Forming equations from problemsExam-style questions

How to turn a worded setup into an equation: one letter for one unknown NUMBER, every other quantity built from it, and one fact that ties the expressions together — then answer the question that was asked.

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15 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
A rectangle has length $(2x + 3)$ cm and width $(x - 1)$ cm.

The perimeter of the rectangle is $46$ cm.

Work out the value of $x$ . (3 marks)
Level 2 · 3 marksTry it
2
The perimeter of this rectangle is $30$ cm. The length is $x + 4$ cm and the width is $x$ cm. Find the value of $x$ .
Level 2 · 2 marksTry it