Pearson Edexcel GCSE (9–1) Mathematics

Pearson Edexcel GCSE (9?1)

Mathematics

2021 Special Edition

Grades 7?9 Knowledge check

Contents

3 ABOUT THE KNOWLEDGE CHECK 4 KNOWLEDGE CHECK 8 ANSWERS 9 REVISION & PRACTICE SAMPLE PAGES

What else do you need to revise smart?

Revision guides and workbooks

Free Pearson Revise App

? They cover the content you need to know for the most popular Edexcel and AQA subjects

? Our one-topic-per-page format breaks everything down into manageable chunks and there's a 1-to-1 page match between the guides and the workbooks

? Prepare your essays and other coursework with worked examples in the revision guides

? Master your answers with the exam skills section

? Check your progress using the three-step tracker on every page.

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Pearson Edexcel GCSE (9?1)

Mathematics

Higher tier Revision Guide + App

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This book will help you to:

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Revision Guide + App

Higher tier

Mathematics

Pearson Edexcel GCSE (9?1)

Pearson Edexcel GCSE (9?1)

Mathematics

Higher tier Revision Guide + App

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29/06/2020 16:44

? Track your progress and test your topic knowledge with quick quizzes and worked-solution videos*

? Check your answers in real-time ? Share your progress with your teachers ? Review relevant sections of your revision guide** ? Available for Pearson Edexcel GCSE maths, history,

science (higher tier only) and business. *Maths only **Links to Pearson Revise revision guide pages and videos [for maths only] are accessed via a code on the inside front cover of the revision guides.

Download

the App today!

About the Knowledge check

The Knowledge check can be used to support your progress as you transition to A level. Whether you're looking for ways to test your skills or spot potential knowledge gaps, this Knowledge check will be perfect for you.

These activities have come from our Pearson Edexcel Grades 7-9 Revision & Practice title, the perfect companion to help you nail the knowledge and skills you need in Maths: ? Expert advice to help you get to grips with the tougher exam questions. ? Worked examples and fully worked answers to show you what the best answers will look like. ? Plenty of opportunity to practise the more challenging exam-style questions. ? Hints and advice to improve your answers to help you access the higher marks.

Have a look at the sample pages from page 9 onward and feel free to browse our Revision & Practice title on our website:

REVISE Pearson Edexcel GCSE (9-1) Mathematics Grades 7-9 Revision & Practice (ISBN 9781292294285)

B0349 | Version 1.0 | May 2021

If you're aiming for a top grade, you need to be confident with core skills and knowledge, such as solving linear equations or working with fractions, decimals and percentages. Take this quick quiz to find out which skills you might need to brush up on before tackling the topics in this book. Tick the correct answer for each question. The answers are on page 86.

Revise core skills

Use the Revise Pearson Edexcel GCSE (9?1) Mathematics Revision Guide if you need to revise any of the core skills covered in this quiz. The green arrow next to each question tells you which page to look at for more help.

1 1. Express 600 as a product of its prime factors.

A 22 ? 52 ? 6 B 23 ? 32 ? 53 C 23 ? 3 ? 52 D 2 ? 3 ? 102

2 2. Write 7_1_0_7?__7_3as a single power of 7.

A 729

B 712

C 723

D 7-13

6. The length of a carrot is 20cm,

10

rounded to the nearest cm. What is

the upper bound for this length?

A 20.5cm

B 20.49cm

C 25cm

D 19.5cm

7. This combination lock uses two

13

letters from A to Z and two digits

from 0 to 9. Work out the total

CX 0 5

number of possible combinations.

A 67600

B 72

4 3. Round 0.0473508 to 3 significant figures.

C 6760

D 260

A 0.047 C 0.0474

5 4.Work out 1_87_ ? 3_25_ A 6_83_ C 3_27_0_

B 0.0473 D 0.05

B 4_19_3_ D 5_81_

8. Simplify (x2y)3 A x2y3 C xy6

16

B x5y3 D x6y3

9. Expand and simplify 3(4a + b) - 2(a - 2b)

A 10a - b

17

B 10a + 7b

8 5 . Write 736000 in standard form.

C 9a + 7b

D 5a + b

A 7.36 ? 103 C 7.36 ? 105

B 736 ? 103 D 7.36 ? 10-6

10. Expand and simplify (2x + 3)2

17

A 4x2 + 9

B 2x2 + 6x + 9

C 4x2 + 12x + 9

D 4x2 + 6x + 9

2

18 11. Factorise x2 - 4x - 12 A 4x(x - 3) B (x - 4)(x + 3) C (x - 6)(x + 2) D (x - 4)2

19 12. Solve 6x + 2 = 8x - 1

A x = 0.75

B x=2

C x = -1

D x = 1.5

21 13. P = 5Q2 - 2QR Find the value of P when Q = 4 and R = -3

A 76

B 104

C 112

D 56

22 14. Find an expression for the nth term of this sequence. 811141720

A 3n + 5

B 5n + 3

C 8n + 3

D 20 - 3n

25 15. Find the equation of this straight line.

y 2

1

25 24 23 22 21 O 21 22 23

1 2 3 4 5x

A y = 2x - 1 B y = _21_x - 1 C y = -x + 2

D y = 2x + 1

16. Match this graph to the correct equation.

A y = 3 - x2 B y = x2 - 3 C y = x2 + 3 D y = x3

y

28

3

O

x

17. Solve the equation x2 - 10x + 16 = 0

31

A x = 1.6

B x = -4

C x = 8 or x = 2

D x = -8 or x = -2

18.Solve the simultaneous equations

34

5x + 6y = 5

x - 2y = 9

A x = -3, y = 1.5

B x = 4, y = -2.5

C x = 2.5, y = 5

D x = -3, y = -1.5

19. Solve the inequality 3x + 1 < x - 5

37

A x>3

B x > -3

C x < -2

D x < -3

20. M = 6R - 20

41

Rearrange the formula to make R

the subject.

AR = _M __+6__2_0_

B R = 6M + 20

CR = _ M6+20 DR = _61 (M-20)

3

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