36

TJ Publishers (ii) Produced by members of the TeeJay Writing Group T Strang, J Geddes and J Cairns. TEXTBOOK 2B TeeJay would like to thank Caoimhe Ni Chomhrai and Rachel Phazey for

  • Upload
    lydiep

  • View
    232

  • Download
    3

Embed Size (px)

Citation preview

page (i)

TJ PublishersAdvantage Business Centre132-134 Great Ancoats StreetManchesterM4 6DE

© TeeJay Publishers 2013First Edition published by TeeJay Publishers - October 2013

All rights in this book are reserved. No part of this book may be copied or reproduced in any format, including electronic, without the express permission of the authors in accordance with the Copyright, Design and Patents Act of 1988.

Any person or organisation who makes unauthorised copies of any part of this book may be liable to prosecution and possible civil claims for damages.

Tel: 0141 880 6839

Fax: 0870 124 9189

e-mail: [email protected]

web page: www.teejaypublishers.co.uk

Printed by :-

Elanders Ltd Merlin Way New York Business Park North Tyneside NE27 0QG Registered in England number 3788582 http://www.elanders.com/uk

page (ii)

Produced by members of the TeeJay Writing Group

T Strang, J Geddes and J Cairns.

TEXTBOOK

2B

TeeJay would like to thank Caoimhe Ni Chomhrai and Rachel Phazey for their invaluable advice, recommendations and help with the final proofing.

Front and Back Cover designed by Fraser McKie. (http://www.frasermckie.com)

Year 2TextbookYear 2

TextbookBook 2BBook 2B

page (iii)

National Curriculum TextBook 2B

• This book, along with Textbook 2A covers every outcome of the Year 2course, as laid out in the National Curriculum England frameworkdocument, (July 2013).

• There are no A and B exercises. The book covers the second half of the Year 2 course without the teacher having to pick and choose which questions to leave out and which exercises are important. They all are !

• The book follows on directly from TeeJay’s Year 2 Book 2A.

• Year 2 Book 2B contains a 12 page “Chapter 13” which primarily revises every topic from the Year 2 course and can be used as a diagnostic tool. This could be followed by TeeJay’s diagnostic assessments * of the work covered in our Year 2 book.

• Non-calculator skills are emphasised and encouraged throughout the book.

• Each chapter will have a “Revisit - Review - Revise” exercise as a summary.

• Homework*, mirroring exercise by exercise, the topics in this book, is available as a photocopiable pack.

• TeeJay’s Assessment Pack* for Year 2 work, is also available as a photocopiable pack, and can be used topic by topic or combined to form a series of Year 2 Cumulative Tests. It also contains a series of longer assessments covering the Outcomes as laid out in the National Curriculum England framework document.

We make no apologies for the multiplicity of colours used throughout the book, both for text and in diagrams - we feel it helps brighten up the pages !!

T Strang, J Geddes, J Cairns

(December 2013)

* Available for purchase separately.

page (iv)

CH TOPIC EX CONTENT PAGES

1 Multiplication 2 0 Intro (revision of multiplication by 2) 11 Multiplication by 5 (done initially like x 2 - use objects) (x 12) 2-32 Multiplication by 5 (with carrying) up to 5 x 20 4-53 Multiplication by 2 and 5 (a mixture) 64 Multiplication by 10 7-8

Revisit-Revise-Review 9

2 3-D Shapes 0 Revise naming/recognising cube, cuboid, cylinder, prism, sphere 101 Recognise 3-D shapes and in real world including composites 11-132 2-D shapes in 3-D solids 14-15

Revisit-Revise-Review 16

3 Division 1 0 Intro (revision of sharing) 171 Dividing by 2 using sharing 18-192 Dividing by 2 using formal symbols 203 Methods of dividing by 2 (no remainder) 21-224 Dividing by 2 (with remainder) 23-245 Dividing by 2 - More remainders 25-26

Revisit-Revise-Review 27

4 Position & 0 Intro (revision Position & Direction) 28-29Direction 1 The right angle and the quarter turn and three quarters turn 30-31

2 Describing a Journey 32-34

Revisit-Revise-Review 35

5 Division 2 0 Intro (revision of Division 1) 361 Divide by 5 (no remainder) 37-382 Divide by 5 (with remainder) (up to 99 ÷ 5) 39-403 Divide by 10 (no remainder) (up to 90 ÷ 10) 41-424 Mixed exercise involving ÷ 2, ÷ 5, ÷ 10 43

Revisit-Revise-Review 44

6 Fractions 1 0 Intro (revision of half and quarter pictorially from Year 1) 45-461 Find 1/3 of length, shape, set of objects by sharing 47-482 Find 1/2, 1/3 or 1/4 of a number of objects 49-50

Revisit-Revise-Review 51

Contents

page (v)

CH TOPIC EX CONTENT PAGES

7 Statistics 1 1 Reading and interpreting tables 52-542 Reading from pictograph 55-563 Reading from simple block graphs 57-58

Revisit-Revise-Review 59-60

8 Length/Height 0 Revise which is shorter/longer/taller/smaller, further/nearer 611 Lengths to the nearest cm 62-632 Units of Measurement (cm and m) + draw rectangles etc. 64-66

Revisit-Revise-Review 67

9 Fractions 2 0 Intro (revision of Fractions 1) 681 Find 1/2 of a number by ÷ 2 69-702 Equivalent fractions 2/4 (= to 1/2) and 3/4 pictorially 713 Fractions on the number line 72-73

Revisit-Revise-Review 74

10 Operations 1 A mixture of +, –, x and ÷ 75-762 Word problems involving a mixture of operators 77-79

Revisit-Revise-Review 80

11 Mass & Volume 0 Intro (revision of heavier than/lighter than etc) 811 Kilograms and grams (not conversion) + 1 more page 82-842 Volume - an introduction 85-863 Litres and millilitres 87-88

Revisit-Revise-Review 89

12 Statistics 2 0 Intro (revision of Statistics 1) 90-911 Drawing pictographs and block graphs 92-94

2 Tally marks and frequency tables 95-97

Revisit-Revise-Review 98

13 Revision Revise all Year 2 work 99-110

Answers Answers to all exercises except the 3-R’s 111-121

page (vi)

Revision of Multiplication by 2 1. Copy and complete :–

a 0 x 2 = ..... b 10 x 2 = ..... c 5 x 2 = .....

d 12 x 2 = ..... e 11 x 2 = ..... f 9 x 2 = .....

2. What numbers are missing ?

a .... x 2 = 6 b .... x 2 = 14 c .... x 2 = 12

d .... x 2 = 16 e .... x 2 = 8 f .... x 2 = 10.

3. Copy and complete :–

a b c

d e f

4. A pair of sunglasses has 2 lenses.

How many lenses are needed for 34 pairs ?

5. Ice lollies come in boxes of 2.

If I fill my freezer with 18 boxes, how many ice lollies will be in it ?

6. If you add the 2 digits in 34, you get 3 + 4 = 7.

Write down the even number between 20 and 30 whose two digits add to give eight.

Now double your number and subtract 2.

What do you get ?

14x 2

23x 2

35x 2

47x 2

24x 2

45x 2

Book 2B - Chapter 1 page 1 Revision of x 2 - Multiplication 2

S A M P L E

Each Chapter

has a set of blue

pages revising

earlier work

Book 2B - Chapter 2 page 2 Multiplication 2

Multiplication 2Multiplication 2

Look at what happens when you have sets of 5 coins :-

+ =

+ =

+ =

5 lots of 2 coins = 10 coins. We say 2 x 5 = 10

Use coins or counters to find the following :-

5 lots of 5 coins, (5 x 5 = ?) 5 lots of 6 coins, (6 x 5 = ?)

5 lots of 7 coins, (7 x 5 = ?) 5 lots of 8 coins, (8 x 5 = ?)

5 lots of 9 coins, (9 x 5 = ?) 5 lots of 10 coins, (10 x 5 = ?)

5 lots of 11 coins, (11 x 5 = ?) 5 lots of 12 coins, (12 x 5 = ?)

+ + +

5 lots of 1 coin = 5 coins. We say 1 x 5 = 51 times 5 is 5

+ + +

2 times 5 is 10

+ + +

5 lots of 3 coins = 15 coins. We say 3 x 5 = 153 times 5 is 15

When we write :- 4 x 5, it is

5 lots of 4, which gives us 20.4 times 5 is 20

Times 5 TableMultiplying by 5.

The 5times table.

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 2 page 3 Multiplication 2

Exercise 1

1. Copy and complete :– (For example, 1 x 5 = 5).

a 1 x 5 = ..... b 2 x 5 = ..... c 3 x 5 = .....

d 4 x 5 = ..... e 5 x 5 = ..... f 6 x 5 = .....

g 7 x 5 = ..... h 8 x 5 = ..... i 9 x 5 = .....

j 10 x 5 = ..... k 11 x 5 = ..... l 12 x 5 = .....

2. Write out and learn the “five times table” by heart. (up to 12 x 5).

Say :- 1 x 5 = 5, 2 x 5 = 10, 3 x 5 = 15, 4 x 5 = 20,

Practise it with someone at home.

3. What numbers are missing :-

a .... x 5 = 10 b .... x 5 = 20 c .... x 5 = 30

d .... x 5 = 45 e .... x 5 = 0 f .... x 5 = 35

g .... x 5 = 40 h .... x 5 = 25 i .... x 5 = 55 ?

4. a Seven times in a row, Matthew rolled a 5.

What was his total score ?

b C & Q have a special offer on just now.

With each standard lamp you buy, you get 5 free light bulbs.

Meryl bought 3 lamps.

How many bulbs did she get ?

c What is (i) 5 x 2 (ii) 2 x 5 ? Did you get the same answer ?

Can you explain what this means ?

S A M P L E

First 2 pages

of Chapter

1. Copy and complete :–

a 8 x 5 = ..... b 6 x 2 = ..... c 10 x 7 = .....

d 2 x 9 = ..... e 5 x 10 = ..... f 9 x 5 = .....

2. What numbers are missing ?

a .... x 10 = 0 b .... x 2 = 16 c .... x 5 = 35

d .... x 2 = 22 e 5 x .... = 60 f .... x 10 = 90.

3. Copy and complete :–

a b c

d e f

4. Paul buys 12 Mr Pencils, priced 5 pence each.

How many pence did he pay in total ?

5. Sugar coated mice sweets are sold in packs of 2.

Ralph buys 36 packs.

He gives 3 packs to his friend Jenny.

a How many mice did Ralph buy altogether ?

b How many mice (not packs) did he have left for himself ?

6. Have a go at working out 2 x 5 x 10.

27x 2

17x 5

3x 10

14x 5

8x 10

46x 2

Mr Pencil

Book 2B - Chapter 1 page 9 Multiplication 2

The 3 ‘sR

Revisit - Review - Revise

S A M P L E

Each Chapter

has a review

exercise like

t h i s

Book 2B - Chapter 2 page 11 3-Dimensions

You have already met 2 dimensional (2-D) shapes.

These are all flat shapes -

3 Dimensions3 Dimensions

cone

Here are three more 3-D shapes :-

square rectangle circle triangle

Now, we look at the solid shapes - 3 Dimensional (3-D) shapes.

You should recognise these five 3-D shapes.

cuboidcube

cylindersphere

3-D Shapes

square based pyramid triangular prismhemisphere

Recognise and name common

3-D (solid) shapes.

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 2 page 12 3-Dimensions

1. Write the name of these 3 dimensional shapes :-

a b c

d e f

2. What is this 3-D shape called ?

3. Here are some 3-D items seen in the real world.

Write the name of each object and its mathematical name :-

a b c d

e f g h

Exercise 1 Worksheet 2·1

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 3 page 18 Division 1

Division 1Division 1

Dividing by 2 is the same as sharing equally between two.

Freddie has 2 sweets.

He shares them with Joe.

Freddie and Joe each get 1 sweet.

We say that 2 divided by 2 = 1.

or 2 ÷ 2 = 1

÷ 2

Tommy has 6 sweets.

He shares them equally with Jenny.

Tommy and Jenny each get 3 sweets.

We say that 6 divided by 2 = 3.

or 6 ÷ 2 = 3÷ 2

this is the dividing sign

Isa has 4 sweets.

She shares them with Kylie.

Isa and Kylie each get 2 sweets.

We say that 4 divided by 2 = 2.

or 4 ÷ 2 = 2

÷ 2

Be able to divide a

quantity by 2.Dividing by 2

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 3 page 19 Division 1

Exercise 1 You will need small cubes here, or sweets, coins or counters.Possibly work in pairs.

1. a Count out 8 small cubes, or coins, counters etc.

b Share them equally between you and your friend.

c How many did each of you get ?

d Copy and complete :- 8 divided by 2 = ... => 8 ÷ 2 = ...

2. a This time count out 10 small cubes.

b Share them equally between you and your friend.

c How many did each of you get ?

d Copy and complete :- 10 divided by 2 = ... => 10 ÷ 2 = ...

3. a This time count out 12 cubes.

b Share them equally again. How many did each of you get ?

c Copy and complete :- 12 divided by 2 = ... => 12 ÷ 2 = ...

4. a Count out 14 small cubes and share them equally between you.

b Copy and complete :- 14 divided by 2 = ... => 14 ÷ 2 = ...

5. a Share 16 cubes, then 18, 20, 22, and 24 between you.

b Find :- 16 ÷ 2 18 ÷ 2 20 ÷ 2 22 ÷ 2 24 ÷ 2

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 4 page 30 Position & Direction

Position & DirectionPosition & Direction

Exercise 1

The hands of a clock move in a clockwise direction.

Anticlockwise is the opposite direction.

1. The blue arrow makes a quarter turn clockwise.

Which shape will it point to ?

2. Instead, the arrow makes a three quarters turn clockwise.

Which shape is it pointing to now ?

3. The arrow points at the red square and makes a half turn clockwise.

Which shape is it pointing to now ?

Know what a right angle and a

quarter turn are.

Do you remember what a quarter looks like ?

clockwiseanticlockwise

When the big hand moves clockwise from the 12 to the 3, it has moved through a quarter turn clockwise.

A quarter turn is the same as a right angle.

quarter

When the big hand moves clockwise from the 12 to the 9, it has moved through a three quarters turn clockwise.

A Right Angle and Quarter Turn

(This is the same as a quarter turn anticlockwise.)

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 4 page 31 Position & Direction

4. This blue arrow starts at 12.

Make a quarter turn anticlockwise.

Where does it finish ?

5. Set the arrow to 6. Make a quarter turn clockwise.

Where does it finish this time ?

6. Set the arrow to 9. Make a half turn clockwise.

Where will the arrow then point to ?

7. Start at 2. Make a full turn clockwise. Where do you finish ?

8. Start at 1. Make a half turn clockwise. Where do you finish ?

9. Billy is standing at a crossroads.

He is facing the church.

Billy makes a quarter turn anticlockwise.

What is Billy then looking at ?

10. Billy faces the church. He makes a three quarters

turn clockwise. What is he then looking at ?

11.This time Billy is facing the bus.

He makes a right angle turn clockwise.

What does he end up facing ?

Billy

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 5 page 37 Division 2

Division 2Division 2

Dividing by 5 is the same as sharing equally among five.

Lennie has 5 Rolos.He shares them with Jan, Jim, Ned and Amy.All five each get 1 Rolo.

We say that 5 divided by 5 = 1.

or 5 ÷ 5 = 1

÷ 5

÷ 5

Exercise 1

1. Write out your times 5 table up to 12 x 5 = 60. Use it to help here :-

2. a 15 ÷ 5 = .... b 30 ÷ 5 = .... c 50 ÷ 5 = ....

d 35 ÷ 5 = .... e 20 ÷ 5 = .... f 40 ÷ 5 = ....

g 25 ÷ 5 = .... h 45 ÷ 5 = .... i 55 ÷ 5 = ....

3. Find the missing numbers :-

a ÷ 5 = 3 b ÷ 5 = 7 c ÷ 5 = 10

d ÷ 5 = 6 e ÷ 5 = 8 f ÷ 5 = 5.

Marion has 10 Rolos.She shares them with Ella, Annie, Chrissie and Alex.All five of them get 2 Rolos.

We say that 10 divided by 5 = 2.

or, since 2 x 5 = 10 => 10 ÷ 5 = 2

Be able to divide a 2 digit number by 5(with no remainder).

* Note, also :- since 3 x 5 = 15 => 15 ÷ 5 = 3

and since 4 x 5 = 20 => 20 ÷ 5 = 4

Dividing by 5

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 5 page 38 Division 2

4. Try these questions mentally.

a How many £5 notes would I need for £45 ?

b How many 5p coins would I get for 20p ?

c 40 children turn up for a 5-a-side football tournament.

How many teams can be made up ?

d Each mini-packet of Rolos contains 5 sweets.

If I ate 50 Rolos, how many packets must I have eaten ?

e Buses are to be parked at the garage in rows of 5.

The bus company has a fleet of 35 buses.

How many rows will there be ?

f 25 counters were laid out in groups of 5.

How many groups of five were there ?

g A chef at a hotel has 5 frying pans and 30 eggs.

He divides the eggs equally over the pans.

How many eggs will he be able to fry in each pan ?

h 55 boxes of cereal were split equally among 5 shelves in a shop.

How many boxes did each shelf hold ?

Worksheet 5·1

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 6 page 47 Fractions 1

Another way of writing a half is .

Another way of writing a quarter is .

Imagine you have a pizza and cut it into 3 equal parts.

Each part is “1 out of the 3” parts.

We can write this as a fraction as one third or .

Exercise 1

This tells you how many parts the

shape was cut into.

This tells you how many parts you are interested in.

1 of the 3 partswas removed.

1. Has this shape been cutinto thirds (3 equal parts) ?

Write yes or no.

2. Have each of these shapes been cut into thirds ? (Yes or No).

a b c d

13

13

14

12

Be able to recognise and shade a third

of a shape.1 “bit”out of

2 “bits”

1 “bit”out of

4 “bits”

Fractions 1Fractions 1

A Third of Something

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 6 page 48 Fractions 1

2. e f g h

3. Kat, Paul and Gary share 18 sweets.

Do each of them have a ? (Have they shared equally ?)

4. Bill, Ben and Pete share £15.

a Do each of them have a ? (Have they shared equally ?)

b How much money should each of them have ?

5. There are 24 pencils in a box.

Zara, Zack and Zia share them equally.

a What fraction will they each get ?

b How many pencils should each of them get ?

Kat

Ben Pete

Paul Gary

13

Bill

13

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 7 page 52 Statistics 1

1. Use the table above to answer these questions :-

a How many pupils were absent on Monday ?

b How many pupils were absent on Wednesday ?

c How many more were absent on Thursday than Monday ?

d How many less were absent on Tuesday than Wednesday ?

e How many absences were there altogether that week ?

Exercise 1

Information which appears in a table or a chart should be easy to read.

This table shows the number ofpupils from a Year 3 class who were absent with flu from school during one week last winter.

• there were 6 absent on Tuesday.

• there were 3 more absent on Friday than on Wednesday.

• the longer the week went on, the more absences there were.

Many more pieces of information can be taken from the table !

Number Absent

Monday

Tuesday

Wednesday

Thursday

Friday

4

Day

6

7

9

10

Statistics 1Statistics 1

Interpreting information

from a table. Reading from a Table

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 7 page 53 Statistics 1

2. Nurse Provan has set her TV box to record her favourite programmes while she is at work.

a What time is CSI York on at ?

b When does Emmerdake start ?

c How long after Corrie Road starts does CSI York come on ?

3. Gerry and Tanya counted the number of goals they had scored over the past 3 seasons.

Gerry scored 16 in S2 (season 2).

a How many goals did Tanya score in S2 (season 2) ?

b How many goals did Gerry score in S1 (season 1) ?

c (i) Who scored more goals altogether ?

(ii) How many was that ?

4. Every 3 months Tom and Betty saved some money in their bank.

a How much did Tom save in March ?

b How much did Betty save in June ?

c Who saved more in December and how much more ?

StartingTimes

1 pm 100 m race

2 pm Javelin

3 pm Hurdles

4 pm 200 m race

CompetitionStartTimes

7:00 Emmerdake

7:30 Corrie Road

8:00 CSI York

9:00 Our Family

Programme

S1 S2 S3

Gerry 21 16 25Tanya 17 19 25

Lucy £10 £14 £5 £15

Ben £12 £10 £5 £10

Tom £6 £12 £3 £13

Betty £10 £8 £3 £8

March June Sept. Dec.

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 8 page 62 Length & Height

Length & HeightLength & Height

The line below has a length whichis nearer to 9 cm than to 8 cm.

This line is approximately 9 cm, (to the nearest centimetre (cm)).

1. Estimate (guess) the length of each line below.Give your answer to the nearest centimetre.

a b

c d

e f

2. Use your ruler to measure each of the lines in question 1.(Give your answer to the nearest centimetre).

3. Write down the lines in order with the longest line first. (F, ..., ...)

Exercise 1 Worksheet 8·1

1 2 3 4 5 6 7 8 9 100

A

D

B

C

FE

Be able to estimate and measure

to the nearest centimetre.

Lengths to the Nearest Centimetre

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 8 page 63 Length & Height

4. Estimate (guess) the sizes shown in each picture below.(Give your answer to the nearest centimetre).

a b c

d e

f

5. Use your ruler to measure each of the objects in question 4.(Give your answer to the nearest centimetre).

6. a Measure each side of this shape to the nearest centimetre.

b Now add your 4 lengths together to find the total distance around the shape.

c There is a special name for the distance around a shape.

Try to find out what this is called.

W’Sheet8·2

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 9 page 69 Fractions 2

1. Copy and complete :-

12

of 20p means “20p divided by 2” = ... p”.

2. Copy and complete :-

12

of 36 cm means “36 cm ÷ by ...” = ... cm”.

3. Find :-

a

12

of 60p b

12 of 18 metres c

12

of 40 grams

d

12

of £80 e

12

of 42 litres f

12

of £66

g

12

of 48 cm h

12

of 62p i

12

of 16p

j

12

of 32 cm k

12

of 54p l

12

of 96p.

Exercise 1

To find a fraction (like a

12

) of something - you divide.

—>

12

of 14p means “14p divided by 2” = 7p.

—>

12

of £24 means “£24 ÷ 2” = £12.

dividedivide

divide

Be able tofind a half

of something.

÷ means divided by

Fractions 2Fractions 2

Half of a Quantity

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 9 page 70 Fractions 2

4. 26 children are in a classroom.

12

of them are girls.

a How many girls are in the classroom ?

b How many boys are there ?

5. It is 36 miles from my home town to Avon by train.

The train broke down after

12

of the trip.

a How far had I travelled ?

b How far was I then from Avon ?

6. Lucy got 30 birthday cards on her birthday.

12

of them had money in them.

How many cards had money in them ?

7. Most cats sleep for about

12

of each day.

There are 24 hours in a day.

How many hours do cats sleep ?

8. a Draw a rectangle (12 squares) like this 4 times on squared paper.

b What is

12

of 12 ?

c Colour

12

of each rectangle in four

different ways.

9. a How many days are there in June ?

b It rained on

12

of these days. How many days was this ?

COPY

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 10 page 75 Maths Operations

Exercise 1

1. Do each of these examples in your head, then write down your answer.

a 9 x 2 = ..... b 16 ÷ 2 = ..... c 9 + 9 = .....

d 12 – 7 = ..... e 5 x 7 = ..... f 20 – 13 = .....

g 14 + 8 = ..... h 20 ÷ 5 = ..... i 48 – 25 = .....

j 25 + 23 = ..... k 8 x 10 = ..... l 60 ÷ 10 = .....

m 34 x 2 = ..... n 24 ÷ 2 = ..... o 72 + 18 = .....

p 25 – 8 = ..... q 45 ÷ 5 = ..... r 12 x 5 = .....

s 13 + 17 = ..... t 86 – 6 = ..... u 10 x 10 = .....

v 35 + 9 = ..... w 72 – 5 = ..... x 90 ÷ 10 = .....

This chapter gives you the chance to revise the 4 operations of mathematics which you have been introduced to - (+, x, –, ÷).

You will have to recall how to add and subtract up to 100 and how to multiply and divide by the numbers 2, 5 and 10.

The early examples are set out, giving you clear instructions as to which operation you have to use. Then you will meet problem type questions, when it will be up to you to decide which to use.

Be able to add and subtract up to 100 and to multiply and divide

by 2, 5 and 10.

Maths OperationsMaths Operations

multiply ?subtract ?

divide ?

add ?

A Mixture of Examples using +, –, x and ÷

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 10 page 76 Maths Operations

2. Copy and complete :–

a b c

d e f

g h i

j k l

m n o

p q r

s t u

v w x

y z

2 18

17+ 8

15x 2

14– 7

9+ 72

25– 9

34x 2

2 62 13x 5

51– 14

23+ 62

5 65

36+ 47

2 56 17x 5

68– 49

11x 10

73+ 17

5 47 47x 2

10 70

29+ 49

91– 61

83– 26

48+ 32

2 35

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 11 this is page 82 Mass & Volume

Mass & VolumeMass & Volume

Exercise 1

1. Put these items in order of weight, starting with the lightest :-

a

b

c

The weight of an object tells us how heavy it is.

So far, you can compare heavy objects with light ones.

Be able to use kilograms and

grams.

The weight of heavy items is measured in kilograms (kg).

The weight of light items is measured in grams (g).

1 cmA small hollow cube,

1 cm by 1 cm by 1 cm, when filled with water

weighs 1 gram.

camera iron biscuit phone

truck car bicycle tank

baby mouse man elephant

Examples :-

A pot noodle weighsabout 70 grams.70 g 12 kg

A sack of potatoes weighs about 12 kg.

Kilograms and Grams

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 11 this is page 83 Mass & Volume

2. Would you use kilograms (kg) or grams (g) to weigh these objects :-

a computer b jar of coffee c dice

d vacuum cleaner e bag of crisps f football top

g caterpillar h sandwich i foot bath

j boy k fruit scone l bag of cement ?

3. Write down the weight shown on each scale :-

a b c d

4. Copy and complete to show the final weights each time :-

a 17 kg + 13 kg = .... kg b 24 g + 60 g = .... g

c 41 kg – 16 kg = .... kg d 68 g – 33 g = .... g.

5. A new car tyre weighs 13 kilograms.

What would a set of 5 new tyres weigh ?

0 12

3456

kg

246

kg

0 0 12

3456

kg

246

kg

0S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 12 page 92 Statistics 2

Statistics 2Statistics 2

Example Drawing a Pictograph

Use the key to draw a pictograph which shows the pets owned by a Year 3 class. Key: stands for 2 children.

Cat Hamster Dog Goldfish Rabbit

6 4 9 3 7

A block graph needs :–

• a title

• headings

• and blocks.

*Sometimes 1 block stands for more than 1 item.

Example Drawing a Block Graph

The table opposite shows the favourite curry of twenty people who came out of a Chinese restaurant.

This information can be displayed in a block graph.

Prawn - 5Lamb - 3Chicken - 7Beef - 1Mixed - 4

Be able to draw a pictograph ora block graph.

Type of Curry prawn lamb chicken beef mixed

Favourite Chinese Curry

= 1 person

This means that :-

stands for 1 child

Mon

Tue

Wed

Thu

Fri

Cat

Hamster

Dog

Goldfish

Rabbit

Drawing Pictographs and Block Graphs

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 12 page 93 Statistics 2

Exercise 1

Use the given key in each case to draw a pictograph to show the information given in the table.

1. a Kinds of fish for sale in a small market, late on in the day.

b Year 3’s favourite zoo animals.

c Year 4’s favourite TV channels.

d Number of robins seen in my front garden over 5 days.

e Number of teenagers waiting to get into a gig one night.

Lion Tiger Giraffe Seal Panda

5 3 4 1 6 stands for 1 person.

Key:-

Mon Tues Wed Thurs Fri

4 10 6 8 2 stands for 2 birds.Key:-

Worksheet 12·1

Cod Haddock Plaice Bass Sole

4 6 3 2 7 stands for 1 fish.

Key:-

6:30 7:00 7:30 8:00 8:30

10 12 8 4 3stands for 2 teenagers.

Key:-

= 1 teenager.

BBC ITV Ch 4 Ch 5 Sky

3 5 2 4 6 stands for 1 pupil.Key:-SKY

S A M P L E

First 2 pages

of Chapter

Book 2B - Chapter 13 page 99 Revision of Year 2

Revision - Year 2Revision - Year 2

1. Write down all the missing numbers :-

a 15 17 19 21 .... .... .... 29 .... ....

b 55 50 45 .... .... .... 25 .... .

2. What is the number just up from 79 ?

3. What is the number two down from 51 ?

4. What numbers do arrows A and B point to ?

60 70

A B

5. Copy and complete :-

a b c d

6. Set down this sum and work out the answer :-

Cheryl guesses that there are 55 mints in the jar.

Pat thinks that there are 23 more than this.

How many mints does Pat think there are ?

7. Do these additions mentally :-

a 22 + 7 b 64 + 32 c 38 + 11 d 53 + 45.

8. Work out the answer to this problem mentally :-

Debbie made some muffins for the school fayre.

She sold 63 of them. There were still 25 left.

How many muffins had Debbie made ?

84+ 5

51+ 27

27+ 63

53+ 42S A M P L E

First 2 pages of

Revision of all

Year 2 work

Chapter 1 - Multiplication - Page 1

Revision - Page 130

1. a 0 b 20 c 10d 24 e 22 f 18

2. a 3 b 7 c 6d 8 e 4 f 5

3. a 28 b 46 c 70d 94 e 48 f 90

4. 68 lenses 5. 36 ice lollies6. 50

Chapter 1 - Exercise 1 - Page 3

1. a 5 b 10 c 15d 20 e 25 f 30g 35 h 40 i 45j 50 k 55 l 60

2. Practical3. a 2 b 4 c 6

d 9 e 0 f 7g 8 h 5 i 11

4. a 35 b 15 c (i) 10 (ii) 10Same answer - doesn’t matter which way you multiply two numbers - you get the same answer both ways.

Chapter 1 - Exercise 2 - Page 4

1. a 55 b 70 c 85d 50 e 65 f 80g 90 h 95 i 100

2. a 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

b 100, 95, 90, 85, 80, 75, 70, 65, 60, 55, 50, 45, 40, 35, 30, 25, 20, 15, 10, 5, 0

3. 65 flowers 4. 90 fish5. 70 burgers 6. 75 millilitres7. 85 carrots 8. 80 roosters

Chapter 1 - Exercise 3 - Page 6

1. a 5 b 8 c 35d 16 e 30 f 6g 40 h 18 i 70

2. a 6 b 0 c 5d 5 e 10 f 4g 7 h 9 i 11

3. a 65 b 36 c 80d 74 e 75 f 98

4. 60 toffees5. various (50, 60 or 70)

Chapter 1 - Exercise 4 - Page 8

1. a 0 b 20 c 50d 80 e 70 f 60g 40 h 90 i 30

2. a 5 b 2 c 8d 3 e 6 f 7

3. a 110 b 1204. a 70 b 905. a 50, 50 b 10, 10 c 20, 206. a Each pair of answers is the same.

b no c 63

Chapter 2 - 3-D Shapes - Page 10

Revision - Page 10

1. a cube b cuboid c cylinderd cone e sphere

2. various3. a 3-D b 2-D c 3-D d 2-D

d 2-D f 3-D g 2-D h 3-D

Chapter 2 - Exercise 1 - Page 12

1. a cube b sphere c cylinderd cuboid e cone f (triangular) prism

2. (square based) pyramid3. a Egyptian pyramid - pyramid

b Child’s brick - cubec tent - coned computer - cuboide snooker ball - spheref tin of paint - cylinderg ice cream cone - coneh chocolate bar - triangular prism

Book 2 page 111 Answers

Answers to Year 2 Book 2BAnswers to Year 2 Book 2B

S A M P L E

First 2 pages

of Answers

4. a cuboid and prismb cone and half a sphere (hemisphere)c cone and cylinderd cone, cylinder and hemispheree cube and pyramidf cube, cylinder and cuboidg cuboid, cube, pyramid and coneh cylinder, cylinder, cylinder, spherei cylinder (with hole) and 4 spheresj 4 cylinders, cuboid and triangular prism

Chapter 2 - Exercise 2 - Page 14

1. 6 rectangles2. 2 squares and 4 rectangles3. a 4 triangles and a square

b 2 triangles and 3 rectangles4. a cube b cuboid

c triangular prism d pyramid 5. a 12 b 86. a 12 b 87. a 8 b 58. a 9 b 69. 2 circles and a rectangle

Chapter 3 - Division 1 - Page 17

Revision - Page 17

1. a 42. a 6 b 73. a 6 b 10 c (i) 12 (ii) 1

Chapter 3 - Exercise 1 - Page 19

1. a/b practical c 4 d 8 ÷ 2 = 42. a/b practical c 5 d 10 ÷ 2 = 53. a practical b 6 c 12 ÷ 2 = 64. a practical b 14 ÷ 2 = 75. a practical b 16 ÷ 2 = 8, 18 ÷ 2 = 9,

20 ÷ 2 = 10, 22 ÷ 2 = 11, 24 ÷ 2 = 12

Chapter 3 - Exercise 2 - Page 20

1. a 2 b 4 c 3d 6 e 5 f 7g 9 h 8 i 11

2. a 6 b 12 c 18d 16 e 24 f 20

3. a 4 b 6c 7 d 3

Chapter 3 - Exercise 3 - Page 21

1. a 13 b 23 c 11 d 22e 31 f 34 g 42 h 41

2. a 23 pencils b 40 pieces of gold3. a 13 children b 14 times4. a 21 notes b 32 times5. a 30 b 20

Chapter 3 - Exercise 4 - Page 24

1. a 2 r 1 b 4 r 1 c 3 r 1 d 5 r 1e 7 r 1 f 6 r 1 g 8 r 1 h 9 r 1

2. a 10 r 1 b 24 r 1 c 33 r 1 d 42 r 1e 13 r 1 f 30 r 1 g 21 r 1 h 44 r 1

3. a 12 b 14. a 20 b 15. a 33 b 16. a 41 b 1

Chapter 3 - Exercise 5 - Page 25

1. a 17 b 35 c 38 d 49e 19 f 45 g 36 h 27

2. a 25 b 163. 37 bundles4. 48 papers5. a 18 r 1 b 29 r 1 c 45 r 1 d 36 r 1

e 25 r 1 f 42 r 1 g 13 r 1 h 46 r 16. a 19 b 17. 28 with 1 left over8. a 8 b 14 c 22 r 1 d 48 r 1

e 8 r 1 f 16 r 1 g 27 r 1 h 49 r 1

Chapter 4 - Position - Page 28

Revision - Page 28

1. a red b green c yellow2. a rectangle b triangle3. a mouse b ball c mouse

d top e bat and ball4. a Sue b Ian c Lee5. a Tom b Tim c Tom d Lee

e Ann f Nan, Ted, Ann g Ted

Book 2 page 112 Answers

S A M P L E

First 2 pages

of Answers