A MathedUp practice collection, not an exam paper. Every question is original MathedUp material.
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Surds
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.
1mark
1Foundation
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Surds exam questions for GCSE maths, with worked solutions
Practise surds with exam questions written the way GCSE papers test them: simplifying roots, adding and subtracting surds, multiplying and expanding brackets, rationalising a denominator with a single surd or a conjugate pair, and showing that an expression takes an exact form. 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.
31 questions: 30 Higher and 1 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
Simplifying a square root by taking out the largest square factor
Adding and subtracting surds once each is written as a multiple of the same root
Multiplying and dividing surds, and expanding brackets that contain surds
Rationalising a denominator that is a single surd
Rationalising a denominator of the form a + root b, using the conjugate
Showing that an expression simplifies to a whole number or to a given exact form
Placing a root between whole numbers, ordering surds and finding the mistake in some working
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.
