primary€¦ · primary mastering the ... the book and an additional version ... of the hard copy...

Year 6

Primary

Mastering the Arithmetic Curriculum

© Copyright HeadStart P

rimary Ltd

43

Name .........

..........

..........

..........

..........

..........

..........

.........

1

1

1

2

2

2

5

4

3

3

3

6

4

5

6

Year 6

SECTION A

SECTION B

SECTION C

Multiply whole numbers with up to 4 digits by a 2-digit number

x

x

x

x

x

x1

2

4

2

4

3

02

32

12

7

3

6

33

63

21

21

11

03

43

22

73

x

x

x

x

x

x

6

3

2

7

6

4

4

0

0

04

0

6

23

45

44

43

83

23

34

62

23

34

42

x

x

x

5

4

3

9

8

9

03

75

85

48

26

43

UNIT 3

MULTIPLICATION

© Copyright H

eadStart Prim

ary Ltd

25

Name .......

........

........

........

........

........

........

........

........

.......

1

1

4

1

2

2

5

2

3

3

6

3

4

5

6

Year 6

SECTION A

SECTION B

5238 - 2104

87,428 - 512

65,231 - 3199

7214 - 4478

67,787 - 4125

79,234 - 5152

48,904 - 22,249

12,178 - 1489

83,247 - 32,104

38,430 - 16,600

51,038 - 12,783

42,350 - 19,572

SECTION C

83,704 - 24,815

275,143 - 139,257

384,214 - 95,437

Subtract w

hole numbers with

4 or more digits

UNIT 2

SUBTRACTION

© Copyright HeadStart Primary Ltd


100

Name ..............................................................................

Name ..............................................................................

3

1

1

3

3

5

1

4

2

2

4

4

6

2

Year 6

Divide fractions by whole numbers

SECTION C - Write answers in lowest terms, as appropriate

SECTION B - Write answers in lowest terms, as appropriate

SECTION A

DIVISION

UNIT 5FRACTIONS

÷ 21

13

÷ 3

78

÷ 53

4

÷ 44

5

÷ 23

5

÷ 64

7

÷ 3

15

÷ 41

3

÷ 29

11

÷ 35

6

÷ 3

34

÷ 42

3

÷ 64

9

÷ 41

6


136

Name ..............................................................................

a

1

1

4

2

2

5

3

3

6Year 6

SECTION A

SECTION B

Use knowledge of the order of operations to carry out calculations

7 + 4 - 3

8 x 8 + 12

43 + 18 ÷ 6

15 + 5 - 3

(69 + 15) ÷ 6

(76 - 28)7

40 ÷ 2 - 4

387 - 4 2

4(18 ÷ 6 + 3)SECTION C IS ON PAGE 136b

ORDER OF OPERATIONS

UNIT 8

CD-ROM contains six standardised arithmetic tests

CD-ROM includes a PDF of the book AND an additional version

with different content

Written by Laura Sumner

Year 6

Primary


Acknowledgements:Author: Laura SumnerCover Design: Kathryn Webster

The right of Laura Sumner to be identified as the author of this publication has been asserted by her in accordance with the Copyright, Designs and Patents Act 1998.

T. 01200 423405E. [email protected]

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without the prior permission of the publisher.

Published by HeadStart Primary Ltd 2018 © HeadStart Primary Ltd 2018 (v1)

A record for this book is available from the British Library - ISBN: 978-1-908767-75-2

HeadStart Primary LtdElker LaneClitheroeBB7 9HZ

Primary


Primary

Rationale and introduction

Organisation of the book (and CD-ROM version)

The National Curriculum for Mathematics aims for children to “become fluent in the fundamentals of mathematics, including through varied and frequent practice…………”. The content of this product has been developed to provide children with regular practice in arithmetic in order to develop a deep understanding of the concepts taught, build number fluency and enhance progress.

The product contains:

• A hard copy book, with 140 pages providing practice of the objectives within the yeargroup. (PDF version is also available on the CD-ROM)

• A CD-ROM version, which is a mirror image (but different calculations) of the hard copy book• Six standardised assessment tests within the CD-ROM

The quantity and range of pages will save teachers immeasurable time and allow them to focus on planning for high quality teaching. There are sufficient pages for daily practice, even if teachers choose not to make use of every page, or they wish to focus on practising particular concepts or domains.

The book is divided into units, which address the arithmetic objectives within the domains for number and fractions, decimals and percentages. The units are sub-divided into hierarchical learning objectives, which provide meaningful practice towards the Year 6 expectations; the contents pages detail the objectives within each unit.

In a comparable way to the National Curriculum arithmetic tests, each question has a grid area for appropriate working out (some children may require additional space to complete some questions). The curriculum expects children to be able to use formal calculation methods, and so some questions are already set out as a formal calculation to indicate the method required. This is detailed, for teachers’ use, in the contents pages.

Year 6

MASTERING THE ARITHMETIC CURRICULUM

Teachers’ Notes – Year 6

© Copyright HeadStart Primary Ltd © Copyright HeadStart Primary Ltd 2

children working below Year 6 expectations

children working at Year 6 expectations

children working above Year 6 expectations

Section A Section B Section C

Provides practice of the objective, at a relatively simple level.

Provides opportunities to consolidate understanding of the objective and/or recall number facts with speed and accuracy.

Provides opportunities to recall number facts with speed and accuracy.

May provide opportunities to work towards Year 6 expectations.

Provides practice of the objective to meet Year 6 expectations.

Provides opportunities to further practise the skills and/or recall number facts with speed and accuracy.

Not usually accessible.

May provide opportunities for significant additional challenge.

Provides practice of the objective, at a challenging level.

DifferentiationThe National Curriculum document states:

“The expectation is that the majority of pupils will move through the programmes of study at broadly the same pace.” However, the curriculum suggests that children who grasp the concept more quickly should be provided with sufficient practice to fully embed those concepts, before accelerating further, and those who need to consolidate their learning further should be given that opportunity.

Within this book, three differentiated sections give children the opportunity to practise the objectives, and they provide a flexible means for teachers to meet children’s varying abilities. The difficulty level within each section is highlighted in the contents pages, so that teachers can see at a glance what children will be expected to complete.

The table below is a guide for using the sections:

Furthermore, most units are sub-divided into hierarchical learning objectives e.g.

Unit 1 Addition: Add whole numbers with up to 3 digits Unit 1 Addition: Add whole numbers with up to 4 digits Unit 1 Addition: Add whole numbers with 4 or more digits

This gives teachers increased flexibility in planning appropriate differentiation to meet children’s learning needs.

Year 6


When to use the pages

Assessment

There is a range of options for the teacher to make effective use of the pages, all of which will save teachers time and allow them to focus on planning highly effective teaching.

• Short periods in the day, which are available for practice of skills e.g. during registration.• During lessons, when children need to practise the calculations being taught.• During small group sessions used to accelerate children’s progress.• For homework, to consolidate the concepts taught in class. The different difficulty levels within

and across the pages can provide very effective differentiation, making the planning ofhomework very simple for teachers.

The number and range of practice pages in the hard copy book and the CD-ROM version mean that there are sufficient pages to cover use in all of the suggested aspects highlighted above.

Although the practice pages in the hard copy book and CD-ROM version are not designed as summative tools, they are based on the Year 6 expectations within the mathematics curriculum, and therefore can support teachers in making formative judgements about children’s progress towards those expectations. The standardised scores should be used in conjunction with ongoing teacher assessment.

In addition, the CD-ROM contains six standardised assessment tests, covering the range of arithmetic objectives and modelled on the Year 6 National Curriculum arithmetic tests.

Year 6


Pages/sections

Pages 1-3

Section A

Section B

Section C

Pages 4 – 8

Section A

Section B

Section C

Pages 9 – 14

Section A

Section B

Section C

Pages/sections

Pages 15-17

Section A

Section B

Section C

Pages 18-22

Section A

Section B

Section C

Pages 23-28

Section A

Section B

Section C

OBJECTIVES AND DESCRIPTION OF CONTENT

Add whole numbers with up to 3 digitsAddition of numbers with up to 3 digits, not including exchanging

Addition of numbers with up to 3 digits, including exchanging


Add whole numbers with up to 4 digitsAddition of numbers with up to 4 digits, not including exchanging



Add whole numbers with 4 or more digitsAddition of numbers with up to 5 digits, not including exchanging




Subtract whole numbers with up to 3 digitsSubtraction of numbers with up to 3 digits, not including exchanging

Subtraction of numbers with up to 3 digits, including exchanging


Subtract whole numbers with up to 4 digitsSubtraction of numbers with up to 4 digits, not including exchanging



Subtract whole numbers with 4 or more digitsSubtraction of numbers with up to 5 digits, not including exchanging



Year 6

CONTENTS YEAR 6

Unit 1 - Addition

Unit 2 - Subtraction

© Copyright HeadStart Primary Ltd © Copyright HeadStart Primary Ltd

Pages/sections

Pages 48-50

Section A

Section B

Section C

Pages/sections

Pages 29-31Section A

Section B

Section C


Section B

Section C

Pages 36-41

Section A

Section B

Section C

Pages 42-47

Section A

Section B

Section C


Divide whole numbers with up to 3 digits by a 1-digit numberDivision of numbers with up to 3 digits by a 1-digit number, not including

exchanging or remainders

Division of numbers with up to 3 digits by a 1-digit number, including exchanging

and remainders


and remainders


Multiply whole numbers with up to 3 digits by a 1-digit numberMultiplication of numbers with up to 3 digits by a 1-digit number, not including exchanging

Multiplication of numbers with up to 3 digits by a 1-digit number, including exchanging


Multiply whole numbers with up to 4 digits by a 1-digit numberMultiplication of numbers with up to 4 digits by a 1-digit number, not including exchanging



Multiply whole numbers with up to 3 digits by a 2-digit number(Questions set out as formal written method)

Multiplication of numbers with up to 3 digits by a 2-digit number, not including exchanging

(exchanging may be required for addition calculation)



Multiply whole numbers with up to 4 digits by a 2-digit number(Questions set out as formal written method)

Multiplication of numbers with up to 4 digits by a 2-digit number, not

including exchanging (exchanging may be required for addition calculation)



Year 6

CONTENTS YEAR 6

Unit 3 - Multiplication

Unit 4 - Division


Pages/sections

Pages 51-54

Section A

Section B

Section C

Pages 55-60

55a-60a

Section A

Section B

55b - 60b

Section C

Pages 61 – 66

61a-66a

Section A

Section B

61b-66b

Section C

Pages/sections

ADDITIONPages 67-69Section A

Section B

Section C


Divide whole numbers with up to 4 digits by a 1-digit numberDivision of numbers with up to 4 digits by a 1-digit number, not including

exchanging or remainders


and remainders


and remainders

Divide whole numbers with up to 3 digits by a 2-digit number

Division of numbers with up to 3 digits by a 2-digit number, not including

remainders

Division of numbers with up to 3 digits by a 2-digit number, including remainders

(Questions 4 – 6 set out as formal written method)


(Questions set out as formal written method)


Division of numbers with up to 4 digits by a 2-digit number, not including remainders




Add fractions and mixed numbers with the same denominatorAddition of unit and non-unit fractions, not including conversion to lowest terms or

mixed numbers

Addition of unit, non-unit fractions and mixed numbers, including conversion to

lowest terms and mixed numbers

Addition of unit, non-unit fractions and mixed numbers, including conversion to


Year 6

CONTENTS YEAR 6

Unit 4 - Division

Unit 5 - Fractions


Pages/sections


Section B

Section C

Pages 74-77

Section A

Section B

Section C

SUBTRACTIONPages 78-80

Section A

Section B

Section C


Section B

Section C


Add fractions with different denominatorsAddition of unit and non-unit fractions, where one denominator is double the other,

not including conversion to lowest terms or mixed numbers

Addition of unit and non-unit fractions, where one denominator is a multiple of the

other, including conversion to lowest terms

Addition of unit and non-unit fractions, requiring finding the lowest common

denominator, and conversion to lowest terms and mixed numbers

Add fractions and mixed numbers with different denominatorsAddition of unit, non-unit fractions and mixed numbers, where one denominator is

double the other, requiring answers to be written as mixed numbers

Addition of unit, non-unit fractions and mixed numbers, where one denominator is a

multiple of the other, requiring answers to be written as mixed numbers

Addition of unit, non-unit fractions and mixed numbers, requiring finding the lowest

common denominator, and conversion to lowest terms and mixed numbers

Subtract fractions and mixed numbers with the same denominatorSubtraction of unit, non-unit fractions and mixed numbers, requiring answers to be

written as mixed numbers

Subtraction of unit, non-unit fractions and mixed numbers, including conversion to


Subtraction of unit, non-unit fractions and mixed numbers, including conversion to


Subtract fractions with different denominatorsSubtraction of unit and non-unit fractions, where one denominator is double the other,

not including conversion to lowest terms or written as mixed numbers

Subtraction of unit and non-unit fractions, where one denominator is a multiple of the

other, including conversion to lowest terms

Subtraction of unit and non-unit fractions, requiring finding the lowest common

denominator, and conversion to lowest terms

Year 6

CONTENTS YEAR 6

Unit 5 - Fractions


Pages/sections


Section B

Section C

MULTIPLICATIONPages 89-94Section A

Section B

Section C


Section B

Section C

DIVISIONPages 99-104Section A

Section B

Section C


Subtract fractions and mixed numbers with different denominatorsSubtraction of unit, non-unit fractions and mixed numbers, where one denominator is

double the other, requiring answers to be written as mixed numbers

Subtraction of unit, non-unit fractions and mixed numbers, where one denominator is

a multiple of the other, including conversion to lowest terms and mixed numbers

Subtraction of unit, non-unit fractions and mixed numbers, requiring finding the

lowest common denominator, and conversion to lowest terms and mixed numbers

Multiply fractions and mixed numbers by whole numbersMultiplication of unit fractions by whole numbers, requiring answers to be written as

mixed numbers

Multiplication of non-unit fractions by whole numbers, requiring answers to be

written in lowest terms and as mixed numbers

Multiplication of mixed numbers by whole numbers, requiring answers to be written

in lowest terms and as mixed numbers

Multiply pairs of proper fractionsMultiplication of pairs of unit fractions

Multiplication of pairs of unit and non-unit fractions

Multiplication of pairs of unit and non-unit fractions requiring answers to be written in

lowest terms

Divide fractions by whole numbersDivision of unit fractions by whole numbers

Division of non-unit fractions by whole numbers, requiring answers to be written in

lowest terms

Division of non-unit fractions by whole numbers, requiring answers to be written in

lowest terms

Year 6

CONTENTS YEAR 6

Unit 5 - Fractions


Pages/sections

ADDITION AND SUBTRACTION


Section B

Section C


Section B

Section C

MULTIPLICATION AND DIVISION


Section B

Section C


Section B

Section C


Section B

Section C


Add decimal numbers with up to 3 decimal placesAddition of 1 digit numbers with I decimal place, not including exchanging

Addition of up to 2-digit numbers with up to 2 decimal places, including exchanging

Addition of up to 3-digit numbers with up to 3 decimal places, including exchanging

Subtract decimal numbers with up to 3 decimal placesSubtraction of 1 digit numbers with I decimal place, not including exchanging

Subtraction of up to 2-digit numbers with up to 2 decimal places, including exchanging

Subtraction of up to 3-digit numbers with up to 3 decimal places, including exchanging

Multiply whole and decimal numbers by 10, 100 or 1000Multiplication of whole and decimal numbers by 10, 100 or 1000

Multiplication of whole and decimal numbers by 10, 100 or 1000

Multiplication of whole and decimal numbers by 10, 100 or 1000

Divide whole and decimal numbers by 10, 100 or 1000Division of whole and decimal numbers by 10, 100 or 1000

Division of whole and decimal numbers by 10, 100 or 1000

Division of whole and decimal numbers by 10, 100 or 1000

Multiply or divide whole and decimal numbers by 10s, 100s or 1000sMultiplication or division of whole and decimal numbers by 10, 100 or 1000

Multiplication or division of whole and decimal numbers by 10, 100 or 1000

Multiplication or division of whole and decimal numbers by 10s, 100s or 1000s

Year 6

CONTENTS YEAR 6

Unit 6 - Decimals



Section B

Section C


Find percentages of numbersCalculation of 10% or 50% of whole numbers

Calculation of 10%, multiples of 10%, 25% or 50% of whole numbers

Calculation of more complex percentages of whole or decimal numbers, including

requiring remainders to be written as a decimal fraction

Pages/sections

MULTIPLICATION AND DIVISION


Section B

Section C

Pages 125-130

Section A

Section B

Section C

Pages/sections


Multiply 1-digit numbers with up to 2 decimal places by whole numbersMultiplication of whole numbers with 1 decimal place by a 1-digit whole number, not

including exchanging

Multiplication of whole numbers with up to 2 decimal places by a 1-digit whole

number, including exchanging

Multiplication of whole numbers with up to 2 decimal places by a whole number with

up to 2 digits, including exchanging

Divide whole and decimal numbers with up to 2 decimal places by a 1-digit whole numberDivision of numbers with 1 decimal place by a 1-digit whole number, not including

exchanging

Division of whole and decimal numbers with 1 decimal place by a 1-digit whole number,

including exchanging and requiring remainders to be written as decimal fractions

Division of whole and decimal numbers with 1 or 2 decimal places by a 1-digit whole

number, including exchanging and requiring remainders to be written as decimal fractions

Year 6

CONTENTS YEAR 6

Unit 7 - Percentages

Unit 6 - Decimals


Pages/sections

Pages 135-140(135a-140a)

Section A

Section B

(135b-140b)

Section C

Pages 141-148



Calculations with 2 steps, not including exchanging

Calculations with up to 3 steps, including exchanging

Calculations with up to 4 steps, including exchanging

PLEASE NOTE:The six standardised arithmetic tests are supplied on the CD-ROM.The CD-ROM also contains an additional version of the practice pages with different content.

Year 6

CONTENTS YEAR 6

Unit 8 - Order of Operations

Answers

ADDITION

UNIT 1

© Copyright HeadStart Primary Ltd 1 Name ..............................................................................

1

1

4

1

2

2

5

2

3

3

6

3

4 5 6

Year 6

SECTION A

Add whole numbers with up to 3 digits

SECTION B

34 + 10

568 + 27

642 + 267

524 + 386

462 + 37

7 + 6 + 469

287 + 442

491 + 673

735 + 100

537 + 128

291 + 349

842 + 374

SECTION C

639 + 483 267 + 948 73 + 68 + 487

UNIT 1ADDITION

© Copyright HeadStart Primary Ltd © Copyright HeadStart Primary Ltd 10Name .............................................................................. Name ..............................................................................

1

1

4

1

2

2

5

2

3

3

6

3

54

Year 6

SECTION A

SECTION B

3246 + 4703

6482 + 5000

76,132 + 15,814

9614 + 23,659

62,314 +1562

2106 + 3705

4000 + 38,956

67,582 + 24,938

13,641 + 34,234

7406 + 21,438

26,974 +62,343

127,883 + 298,029

SECTION C

2168 + 4182 + 33,964674 + 2426 + 6134

Add whole numbers with 4 or more digits UNIT 1ADDITION


1

1

4

1

2

2

5

2

3

3

6

3

54

Year 6

SECTION A

SECTION B

2463 + 4230

2684 + 9000

27,328 + 61,407

8674 + 24,187

56,684 + 3213

8406 + 1732

2806 + 28,067

26,287 + 34,964

21,364 + 68,023

6394 + 63,453

51,478 + 29,014

324,698 + 438,024

SECTION C

9047 + 3524 + 87,441243 + 4926 + 8103

Add whole numbers with 4 or more digits UNIT 1ADDITION

SUBTRACTION

UNIT 2


1

1

4

1

2

2

5

2

3

3

6

3

4 5 6

Year 6

SECTION A

SECTION B

68 - 41

52 - 24

894 - 126

437 - 158

475 - 10

385 - 79

483 - 391

575 - 489

974 - 302

174 - 46

786 - 492

806 - 418

SECTION C

930 - 456 384 - 297 523 - 187

Subtract whole numbers with up to 3 digits UNIT 2SUBTRACTION


1

1

4

1

2

2

5

2

3

3

6

3

4 5 6

Year 6

SECTION A

SECTION B

8746 - 2344

78,048 - 3246

85,802 - 3647

6002 - 4837

86,408 - 3201

86,382 - 5263

87,283 - 65,426

48,206 - 9415

82,479 - 61,346

97,498 - 64,896

88,746 - 64,863

68,420 - 39,648

SECTION C

38,618 - 29,749 782,041 - 93,138 834,162 - 456,138

Subtract whole numbers with 4 or more digits UNIT 2SUBTRACTION

MULTIPLICATION

UNIT 3


1

1

2

2

3

3

4

1

5

2

6

3

4 5 6

Year 6

SECTION A

14 x 2

24 x 3

321 x 3

223 x 4

428 x 1

242 x 3

SECTION C


SECTION B

6 x 52

574 x 7

424 x 3

632 x 5

524 x 4

448 x 6

6 x 34 x 7 345 x 7 562 x 9

UNIT 3MULTIPLICATION


1

1

1

2

2

2

54

3

3

3

6

4 5 6

Year 6

SECTION A

SECTION B

SECTION C


x

x

x

x

x

x

2

7

4

1

3

1

31

41

32

4

2

9

12

64

22

32

23

14

26

32

47

x x

xx

x

x

2 8

33

2

1

3 6

104

1

2

84

05

52

86

67

36

33

32

23

43

68

x x x5 4 78 9 90

373

68

48

68

43

UNIT 3MULTIPLICATION

DIVISIONUNIT 4


1

1

4

2

2

5

3

3

6

1

4

2

5

3

6

Year 6


SECTION A

SECTION B

SECTION C

96 ÷ 3

85 ÷ 5

868 ÷ 4

685 ÷ 1

94 ÷ 4

572 ÷ 4

488 ÷ 4

79 ÷ 6

884 ÷ 6

936 ÷ 8

758 ÷ 7

973 ÷ 7

927 ÷ 8

702 ÷ 9

267 ÷ 6

UNIT 4DIVISION

© Copyright HeadStart Primary Ltd © Copyright HeadStart Primary Ltd 56Name .............................................................................. Name ..............................................................................b

4

1

5

2

6

3

Year 6


SECTION C

5 8 4 0 3

4 3 8 1 7

4 6 8 3 9

9 7 8 7 3

3 7 7 6 5

7 4 9 6 7

UNIT 4DIVISION

FRACTIONSUNIT 5


1

1

1

3

3

5

5

2

2

4

4

6

6

2 3

Year 6

Add fractions and mixed numbers with the same denominator

SECTION A

SECTION B - Write answers in lowest terms and as mixed numbers, as appropriate

SECTION C - Write answers in lowest terms and as mixed numbers, as appropriate

ADDITION

UNIT 5FRACTIONS

+ 13

13

1 + 3 49

19

+ 59

79

+ 18

38

+ +110

310

2 + 3 19

89

1 + 3 58

18

+ 45

45

+ 712

112

+ 712

1112

+ 47

57

1 + 79

79

3 + 4 56

56

+ 29

29

+ 25

15

110


1

1

1

3

5

2

2

2

4

6

3

4

Year 6

Multiply fractions and mixed numbers by whole numbers

SECTION A - Write answers as mixed numbers, as appropriate

SECTION B - Write answers in lowest terms and as mixed numbers, as appropriate

SECTION C - Write answers in lowest terms and as mixed numbers, as appropriate

MULTIPLICATION

UNIT 5FRACTIONS

x 5 23 x 2 5

9

2 x 17

4 x 56

x 13025

x 6313 x 125

6

x 3527

x 7 16

2 x 334

2 x 2 58

3 x 3 49

DECIMALSUNIT 6


1

1

1

4

2

2

2

5

3

3

3

6

4 5 6

Year 6

SECTION A

SECTION B

4.4 + 0.5

7.4 + 3.4

5.734 + 7.528

24.5 + 96.1

6.2 + 3.4

42.6 + 7.5

73.81 + 68.54

4.74 + 71.7

1.7 + 7.2

3.47 + 4.67

7.052 + 389.87

24.9 + 7.53

SECTION C

47.52 + 594.9 7.957 + 847.5 4.5 + 73.1 + 434.9

Add decimal numbers with up to 3 decimal places

ADDITION & SUBTRACTION

UNIT 6DECIMALS


4

1

1

1

4

5

2

2

2

5

6

3

3

3

6

Year 6

SECTION A

SECTION B - Write remainders as a decimal fraction

SECTION C - Write remainders as a decimal fraction

Divide whole and decimal numbers with up to 2 decimal places by a 1-digit whole number

628 ÷ 8

48.6 ÷ 2

45.2 ÷ 4

67.05 ÷ 5

1 ÷ 8

626 ÷ 4

55.5 ÷ 5

68 ÷ 8

290.4 ÷ 6

19 ÷ 8

643.5 ÷ 5

39.6 ÷ 3

272.7 ÷ 9

6394 ÷ 8

139 ÷ 8

MULTIPLICATION & DIVISION

UNIT 6DECIMALS

PERCENTAGESUNIT 7


1

1

1

4

4

2

2

2

5

5

3

3

3

6

6

Year 6

SECTION B


50% of 700

25% of 68.04

10% of 60

70% of 380

55% x 2400

20% of 3550

30% of 473

50% of 640

25% of 4480

35% of 8630

25% of 2048

80% of 6805

10% of 4800

30% x 3400

15% x 334

Find percentages of numbers

SECTION A

UNIT 7PERCENTAGES


1

1

1

4

4

2

2

2

5

5

3

3

3

6

6

Year 6

SECTION A

SECTION B


25% of 436

25% of 364

50% of 70

25% of 492

85% x 7600

20% of 2480

25% of 7.84

10% of 350

30% x 3480

45% of 3620

50% of 5030

80% of 3028

10% of 6300

90% of 1970

75% x 3396

Find percentages of numbers UNIT 7PERCENTAGES

ORDER OF OPERATIONSUNIT 8


1

4

2

5

3

6

b Year 6

SECTION C


3 + 27(6 - 2)

(32.2 x 22) ÷ 8

(807 + 68) ÷ 5 x 3

6 + 3(96 ÷ 4)

64 + 183 - 122

870 + 6 - (62 + 35)


© Copyright HeadStart Primary Ltd 140 Name ..............................................................................a

1

1

4

2

2

5

3

3

6

Year 6

SECTION A

SECTION B


5 + 8 - 2

6 x 7 + 16

90 - 25 ÷ 5

13 + 6 - 2

(73 - 19) ÷ 9

(53 + 27)7

24 ÷ 3 - 7

387 - 42

5 + (63 - 36)3

SECTION C IS ON PAGE 140b


ANSWERS

© Copyright HeadStart Primary Ltd © Copyright HeadStart Primary Ltd 142

Page 19Section A 1) 442 2) 8224 3) 2122Section B1) 142 2) 4778 3) 8691 4) 7151 5) 2065 6) 3235Section C1) 1818 2) 3807 3) 3056 4) 1865 5) 3778 6) 3745




Page 23Section A 1) 6402 2) 83,207 3) 21,133 Section B1) 74,802 2) 81,119 3) 32,602 4) 82,155 5) 21,857 6) 23,883 Section C1) 1165 2) 38,791 3) 28,7724) 8869 5) 688,903 6) 378,024

Page 24Section A 1) 252 2) 23,152 3) 46,945 Section B1) 81,231 2) 81,512 3) 41,0894) 93,038 5) 49,474 6) 16,356 Section C1) 1629 2) 8157 3) 15,397 4) 6889 5) 8835 6) 77,745

Page 25Section A 1) 3134 2) 63,662 3) 51,143 Section B1) 86,916 2) 74,082 3) 21,8304) 62,032 5) 26,655 6) 38,255 Section C1) 2736 2) 10,689 3) 22,778 4) 58,889 5) 135,886 6) 288,777

Page 26Section A 1) 2223 2) 82,132 3) 22,632 Section B1) 86,081 2) 62,922 3) 36,4864) 43,874 5) 27,553 6) 36,756 Section C1) 2575 2) 66,881 3) 58,3794) 28,329 5) 479,747 6) 577,167



Page 29Section A 1) 48 2) 831 3) 826Section B1) 72 2) 496 3) 846 4) 1445) 5670 6) 2849Section C1) 2304 2) 5222 3) 82624) 1296 5) 3951 6) 1548

Page 30Section A 1) 28 2) 963 3) 428Section B1) 72 2) 892 3) 726 4) 1505) 1272 6) 2096Section C1) 4018 2) 3160 3) 2688 4) 14285) 2415 6) 5058

Page 31Section A 1) 69 2) 438 3) 848Section B1) 52 2) 528 3) 655 4) 112 5) 1232 6) 2490Section C1) 3828 2) 2980 3) 2367 4) 10605) 3744 6) 5068

Page 32Section A 1) 808 2) 9063 3) 6424Section B1) 2168 2) 6966 3) 9729 4) 13045) 7595 6) 24,085Section C1) 7944 2) 43,974 3) 35,8984) 46,984 5) 28,956 6) 52,052

Page 33Section A 1) 648 2) 4132 3) 9369Section B1) 1872 2) 9711 3) 12,5684) 4298 5) 10,432 6) 8715Section C1) 13,221 2) 11,824 3) 14,2024) 36,652 5) 27,204 6) 18,992

Page 34Section A 1) 284 2) 6324 3) 6099Section B1) 2928 2) 8505 3) 6945 4) 25925) 6892 6) 57,687Section C1) 4152 2) 9892 3) 45,084 4) 26,268 5) 54,264 6) 11,504

Page 35Section A 1) 432 2) 3096 3) 8408Section B1) 1274 2) 6078 3) 6486 4) 51175) 9065 6) 54,333Section C1) 15,702 2) 37,050 3) 29,9534) 57,904 5) 18,235 6) 39,402

Page 36Section A 1) 276 2) 516 3) 7613Section B1) 1204 2) 10,947 3) 12,384 4) 20,480 5) 49,005 6) 5616Section C1) 8544 2) 14,196 3) 17,458 4) 23,968 5) 16,898 6) 45,864

ANSWERS YEAR 6

PLEASE NOTE:The six standardised arithmetic tests are supplied on the CD-ROM.The CD-ROM also contains an additional version of the practice pages with different content.

© Copyright HeadStart Primary Ltd Year 6

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