Graphical Inequalities

Sample Graphical Inequalities questions

A few of the 50 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 3-4
   The grid shows one boundary line: $x = 4$. Click the region that satisfies the inequality $x < 4$.

   On the practice page you draw or plot the answer on screen.

   Show the worked solution

   Test a point clearly inside the candidate region, e.g. $(1, 5)$

What are the common mistakes in Graphical Inequalities?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Shades the wrong side of a boundary line/curve on a graph

  Shaded the opposite side of the boundary line to the correct region for $-2x + 2y \leq -4$

• Uses the wrong style of boundary (open/closed circle or inclusive/exclusive) for an inequality

  Drew the boundary line dashed instead of solid - $\geq$ is inclusive, so the boundary IS part of the solution (solid line)

• Makes an error while rearranging an equation to isolate the required variable

Quick answers about Graphical Inequalities

How many Graphical Inequalities practice questions are there?

There are 50 self-marking GCSE and IGCSE Maths questions on Graphical Inequalities, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Graphical Inequalities?

No. You can start practising Graphical Inequalities straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.