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Parallel & perp. lines
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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1Foundation
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Parallel and perpendicular lines exam questions for GCSE maths, with worked solutions
Practise parallel and perpendicular lines with exam questions written the way GCSE papers test them: spotting which equations give parallel lines, writing the equation of a line parallel to another, using the fact that perpendicular gradients multiply to minus one, finding the equation of a perpendicular line through a point, and putting the ideas to work in problems about triangles, rhombuses and the tangent to a circle. 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.
23 questions: 17 Higher, 1 Foundation and 5 for both tiers. 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
Deciding whether two lines are parallel, from their equations or from a grid
Writing the equation of a line parallel to a given line, through a point or on the y-axis
Showing that two lines are parallel by rearranging to y = mx + c
Finding the gradient of a line perpendicular to a given line, and checking that gradients multiply to minus one
Finding the equation of the line through a point that is perpendicular to a given line, including from two points
Using perpendicular lines in problems: an x-axis crossing, a missing value, a rhombus, an area, and the tangent to a circle
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.