Inequalities: past paper questions

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• Question 7Oct/Nov 2025, paper 12Structured2 marks

  Write down the inequality represented on the number line.

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• Question 17Oct/Nov 2024, paper 11Structured4 marksHas a diagram

  The diagram shows the lines $y=2x+1$ and $x+y=2$. The region $R$ is defined by these three inequalities. $$y⩽2x+1x+y⩽2y⩾-2$$ On the diagram, shade and label the region $R$.

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• Question 16Oct/Nov 2023, paper 11Structured4 marksHas a diagram

  The region $R$ is defined by these inequalities. $$1⩽x⩽3$$ $$2⩽y⩽3$$ $$y⩾\frac{x}{2}+1$$ Find and label region $R$.

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• Question 17Oct/Nov 2024, paper 12Structured4 marksHas a diagram

  The diagram shows a shaded triangle, $ABC$, drawn on a $1\mathrm{c}\mathrm{m}$ square grid. The equation of the line $AC$ is $y=-\frac{3}{2}x+1$. The shaded region inside triangle $ABC$ is defined by three inequalities.

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• Question 7Oct/Nov 2024, paper 22Structured13 marks

  Solve. $$4x+7=16$$

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• Question 11May/June 2023, paper 11Structured2 marks

  Solve the inequality $x-5>3x+7$.

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• Question 15May/June 2023, paper 12Structured3 marksHas a diagram

  Three lines and a shaded region are shown on a 1 cm square grid. Find the three inequalities that define the shaded region.

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