A MathedUp practice collection, not an exam paper. Every question is original MathedUp material.
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Quadratic inequalities
Topic practice
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Before you start
Write in black pen. Draw graphs and diagrams in pencil.
Write each answer in the space under its question.
Show your working: a correct method can earn marks even when the answer is wrong.
Questions marked need a calculator.
About this exam
Marks for each part are in brackets, like (3).
Diagrams are NOT accurately drawn, unless otherwise indicated.
Read each question through once before you start writing.
Original MathedUp practice material: a topic collection, not an exam paper and not modelled on the format of one. Not affiliated with, endorsed by or produced by any exam board.
Sitting · www.mathedup.co.uk
Higher papers also test Foundation-level questions, so All is the whole topic.
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Quadratic inequalities exam questions for GCSE maths, with worked solutions
Practise quadratic inequalities with exam questions written the way GCSE papers test them: finding the critical values by factorising, sketching the graph to decide whether the answer lies between them or outside them, writing the answer as inequalities or in set notation, showing it on a number line, and listing the integers that satisfy it. Every question comes with a worked solution and an answer, and Remix gives you a fresh version with new numbers whenever you want another go.
17 questions: 17 Higher. Every question has a worked solution and an answer. Type your answers in and the page marks them as you go.
What the questions cover
Reading the solution of a quadratic inequality from a graph or a sketch
Solving x squared compared with a number, including the negative root
Finding the critical values by factorising, then choosing the region between or outside them
Quadratics that are already factorised, that have a coefficient of x squared other than 1, or that need rearranging first
Writing the answer as one inequality, as two statements, or in set notation, and showing it on a number line
Listing the integers that satisfy a quadratic inequality, and spotting the mistake in a number line
Setting up and solving an inequality from an area, a parallelogram or a rectangle and a triangle
How to use this page
Remix gives you a new version of the question in front of you, with new numbers.
New sitting refreshes every question at once.
Solution shows the full working, and Answer shows just the answer.
All questions lists the whole collection, and Scroll puts every question on one page.
Original MathedUp questions, written to practise the skills GCSE papers test. These are not past exam papers, and MathedUp is not affiliated with any exam board.
