national curriculum textbook 5 2 volume of cubes and cuboids (extension) 93-94 3 converting units of...

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National Curriculum TextBook 5

• This book covers every outcome of the Year 5 course, as laid out in the National Curriculum Document.

• There are no A and B exercises. The book covers the entire Year 5 course without the teacher having to pick and choose which questions to leave outand which exercises are important. They all are !

• The book follows on directly from TeeJay’s Year 4 Book and includes revision and consolidation of the work covered in the Year 4 course.

• The Year 5 Book contains an 9 page “Chapter Zero” which primarily revises every topic from the Year 4 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 4 book.

• It also contains a Chapter 19 which revises every topic from the Year 5 course, prior to an end of year assessment.

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

• Each chapter has 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 5 work, is also available as a photocopiable pack, and can be used topic by topic or combined to form a series of Year 5 Cumulative Tests. It also contains a series of longer assessments covering the Outcomes as laid out in the National Curriculum 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 2015)

* Available for purchase separately.

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CH TOPIC EX CONTENT PAGES

0 Revision Revision of all Year 4 book 1-9

1 Whole No’s 1 Place value up to 1 000 000 10-112 Going up in 10’s, 100’s, 1000’s, 10 000’s and 100 000’s 123 Rounding to nearest 10, 100, 1000, 10 000 and 100 000 134 Using rounding to estimate 14

Revisit-Revise-Review 15

2 Addition and 1 Add and subtract numbers with up to 6 digits 16-17Subtraction 2 Add and subtract numbers mentally 18-19

3 Using rounding to estimate answers mentally 204 Multi-step problems involving addition & subtraction 21


3 Angles 1 Types of angles 23-242 Naming angles using 3 letters 25-263 Measuring angles 27-284 Drawing angles 295 Compass Points 30-31

Revisit-Revise-Review 32-33

4 Multiplication 1 Multiplication by a single digit 34-35and Division 2 Multiplication by 2 digits (long multiplication) 36

3 Multiplication by 10, 100 and 1000 374 Division by 10, 100 and 1000 385 Multiplying and dividing mentally 396 Division by a single digit (no remainder) 407 Division by a single digit (with a remainder) 41-42


5 Area 1 Area (Revision) 44-452 Area of a rectangle (a formula) 46-483 Areas and perimeters of simple composite shapes 49-50


6 Special Numbers 1 Multiples 522 Common multiples and lowest common multiple 533 Factors 544 Common factors and highest common factor 555 Prime numbers 56-57


Contents

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7 Decimals 1 Revision of Fractions 592 The third decimal place 603 More on adding and subtracting decimals 61-624 Changing decimals into fractions 625 Rounding to nearest whole number or to 1 decimal place 63-64


8 3-D & 2-D Shapes 1 3-D Shapes 66-692 3-D shapes in the real world 703 Polygons - regular or irregular ? 71-72


9 Fractions 1 1 Equivalent fractions 75-762 Improper fractions and mixed numbers 77-79


10 Symmetry 1 Line symmetry (Revision) 81-822 Turn (rotational) symmetry 83-853 Translation (slide) symmetry 86-88


11 Volume and 1 Volumes by counting cubes (revision) 90-92Measure 2 Volume of cubes and cuboids (Extension) 93-94

3 Converting units of length 954 Converting units of volume 965 Converting units of weight 97


12 Coordinates and 1 The coordinates of a point 99-101Transformations 2 More about the x and y axes 102-104

3 Translation 1054 Reflection 106-1075 Enlargement and reduction 108-109


13 An Introduction 1 The missing number 112to Algebra 2 Simple equations with + and - 113

3 Simple equations with x and ÷ 1144 Which signs are missing ? 1155 Making up equations with + and - 116-117


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14 Money 1 Needs and wants 119-1212 Budgeting 122-124


15 Fractions 2 1 Revision of fractions 1262 Adding and subtracting (basic) fractions 1273 Adding and subtracting (harder) fractions 128-129


16 Time 1 Time (Revision) 1312 24 hour clock 132-1343 Short time intervals 1354 Longer time intervals 136-138


17 Chance/Probability 1 Revision of chance 1402 Probability 1413 Simplifying probabilities 1424 Probability as a fraction 143-145


18 Statistics 1 Line Graphs (Revision) 147-1492 Dot plots 1503 Interpreting pie charts 151-1524 Drawing graphs 153-1555 Misleading graphs 156-158


19 Revision Revision of all Year 5 work 161-169

Answers Answers 171-180

Year 5 Book - Chapter 4 page 34 Multiplication/Division

Multiplication & DivisionMultiplication & Division

Exercise 1

1. Copy the following and complete the calculation :-

a b c d

e f g h

i j k l

2. Write each of these in the form of Question 1 and work them out :-

a 59 x 8 b 73 x 5 c 87 x 7 d 96 x 9

e 7 x 318 f 5 x 605 g 809 x 9 h 3 x 976

i 1237 x 4 j 8172 x 7 k 6528 x 5 l 1804 x 6

m 7 x 6254 n 5 x 2037 o 1276 x 9 p 3 x 9987.

3. Check your answers to Question 2 by dividing. .......

e.g. to check if 59 x 8 = 472, divide 472 by 8 to see if you get back to 59.

87x 9

96x 7

87x 4

35x 6

649x 4

407x 9

296x 5

748x 3

9876x 9

9070x 6

3026x 7

5217x 8

Multiplication by a Single Digit

Example 1 :- 78 x 6 Example 2 :- 569 x 7

Example 3 :- 3276 x 8

Be able to multiply a number with up to 4 digits by a

single digit.

Make sure you know yourtables !

7 8x 6

4 6 84

5 6 9x 7

3 9 8 364

3 2 7 6x 8

2 6 2 0 8462


4. There are 238 steps to the top of a tower.

How many steps will I take if I walk up and down the tower 3 times ?

5. There are 345 chicken coops on Bates’ Farm.

Each coop has 9 chickens.

How many chickens does Mr Bates have ?

6. At an awards dinner, there were 174 tables set out.

Each table had 8 diners.

How many people were at the dinner ?

7. Bronte has 499 photos in each of her family albums.

She has 5 albums altogether.

How many family photos does she have ?

8. Rob and Jane between them earn $4370 per month.

How much will they earn over 6 months ?

9. An hour consists of 3600 seconds.

How many seconds are there in 7 hours ?

10. A palette holds 2096 tins of soup.

How many tins in a lorry with 9 palettes ?

11. There are 4 schools in Laptown.

Each school was built to take a maximum of 1350 children.

When each school is full, how many children will be attending altogether ?

12. A satellite travels at 7642 kilometres per hour.

How far will it fly in 9 hours ?


Multiplication by Two Digits (Long Multiplication)Be able to multiply a number with up to 4 digits by a 2

digit number.Up until now you have only been asked to use one set of “times tables” at a time when you are multiplying.

Now, you may have to use 2 different sets of tables.

3 5 6x 4 7

2 4 9 21 4 2 4 0 1 6 7 3 2

Exercise 2

Example :- 356 x 47

Step 1 :- multiply the 356 by the 7 (= 2492).

Step 2 :- now multiply by 40, not 4. (= 14240)

(it’s easier to put a 0 (zero) belowthe 2, and then multiply by the 4).

Step 3 :- finally ... simply add your 2 answers.

1. Copy this long multiplication and complete it :-

2. Set down and work out :-

a b c d

e f g h

3. Set down the following as in Question 2, then find :-

a 21 x 15 b 35 x 46 c 67 x 58 d 84 x 39

e 236 x 17 f 805 x 25 g 37 x 549 h 52 x 1023

i 8204 x 29 j 7777 x 64 k 4706 x 83 l 67 x 1217.

2 4 7x 3 6

1 4 8 2 ....... ..........

0

* Your teacher will explain this to you.

5 3x 1 6

.............. ......... .............

0

3 6x 4 8

.............. ......... .............

0

8 0 4x 9 2

.............. ......... .............

5 5 6x 5 5

.............. ......... .............

1 6 1 2x 4 7

..............

............. .........

4 1 0 7x 8 5

..............

............. .........

2 5 9 8x 6 3

..............

............. .........

2 6 4x 7 8

..............

............. .........


Multiplication by 10, 100 and 1000 Be able to multiply a number quickly by 10, 100 or

1000.Look at these examples :-

46 x 10 = 460 10 x 258 = 2580 6506 x 100 = 650 600

100 x 57 = 5700 260 x 1000 = 260 000 1000 x 3050 = 3 050 000

Examples :-

32x 10320

601x 106010

274x 100

27 400

98x 100098 000

540x 1000

540 000

Exercise 3

1. Write down the answers to the following :–

a 15 x 10 b 11 x 10 c 56 x 10 d 10 x 98

e 10 x 125 f 302 x 10 g 10 x 457 h 10 x 1920

i 3080 x 10 j 8236 x 10 k 10 x 6543 l 46 180 x 10.

2. Write down the answers to the following :–

a 54 x 100 b 77 x 100 c 100 x 155 d 100 x 700

e 7020 x 100 f 100 x 2004 g 100 x 8600 h 9050 x 100.

3. Write down the answers to these :–

a 16 x 1000 b 72 x 1000 c 750 x 1000 d 1000 x 870

e 1000 x 900 f 246 x 1000 g 1000 x 534 h 1000 x 480.

4. A jar contains 100 jelly beans. How many jelly beans are there in :-

a 15 jars b 28 jars c 250 jars ?

5. There are 1000 milligrams in 1 gram. How many milligrams are there in :-

a 6 grams b 37 grams c 620 grams d 701 grams ?

When you multiply the number 603 by 10 => the figures move 1 place left ..... 6030.

When you multiply 5238 by 100 => the figures move 2 places left ..... 523 800.

When you multiply 40 216 by 1000 => the figures move 3 places left ..... 40 216 000.

national curriculum textbook 5 2 volume of cubes and cuboids (extension) 93-94 3 converting units of...

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