15 21 12 72 11 7 14 − 2 = 16 − 4 = 11 − 4 = 18 − 5 = 13 − 6€¦ · 7 + 9 = 11 + 7 = 11...

Name

PAGE 37

The numerator in a fraction is the top number. The denominator is the bottom number or the total number of equal parts.

NUMBER &

ALGEBRA

Number & Place Value

1 Calculate these products.

4 × 25 =

4 × 27 =

so5 × 20 =

5 × 23 =

so

6 × 30 =

6 × 29 =

so8 × 20 =

8 × 18 =

so

2 Draw a dot array then write the fact family to match.

7 × 8 =

× =

÷ =

÷ =

6 × 4 =

× =

÷ =

÷ =

3 Complete these.

3 7 8

+ 3 5 2

4 8 6

+ 3 9 1

2 6 7

+ 4 4 5

5 4 3

+ 2 9 5

Fractions & Decimals

4 You can make equivalent fractions by doubling the numerator and the denominator. Write equivalent fractions for these.

is the same as is the same as2

3


4

Money & Financial Mathematics

5 Calculate the total cost in your head. Write a number sentence to show your thinking.

$1.95 + $7.48 = $

$2.99 + $5.39 = $

$6.98 + $3.49 = $

$1.97 + $11.05 = $

Mental M

aths

Addition & Subtraction Multiplication & division

9 + 6 = 12 + 9 = 14 − 2 = 8 × 9 = 8 × = 88 35 ÷ 5 =

5 + 6 = 16 + 3 = 16 − 4 = 8 × 4 = 8 × = 160 ÷ 4 = 10

7 + 9 = 11 + 7 = 11 − 4 = 8 × 6 = × 8 = 800 16 ÷ 8 =

10 + 4 = 13 + 9 = 18 − 5 = 8 × 8 = 8 × = 400 ÷ 3 = 9

3 + 11 = 5 + 14 = 13 − 6 = 8 × 7 = × 8 = 96 ÷ 2 = 7

15 21 12 72 11 711 19 12 32 20 4016 18 7 48 100 214 22 13 64 50 2714

100 100

180 160

108 115

174 144

19 7 56 12

9.43

8.38

10.47

13.02

$7 + $1.95 + 5c + 43c

$5 + $2.99 + 1c + 38c

$3 + $6.98 + 2c + 47c

$11 + $1.97 + 3c + 2c

4

6

8

12

6

8

12

16

14

56

24

56

24

8

4

7

6

7

6

7

6

8

4

8

4

56

24

56

24

730 712877 838

PARENT/CARER SIGNATURE DATE PAGE 38

STATIS

TIC

S &

PROBABIL

ITY

Data Representation & Interpretation

10 a. Write 3 numbers in each of the 4 parts of the Venn diagram.

b. Write how you would describe the numbers in the overlapping part of the circles.

c. Write how you would describe the numbers outside the circles.

Numbers from 100 to 300

Odd Numbers Divisible by 5

MEASUREMENT &

GEOMETRY

Using Units of Measurement

6 Draw the base of a tower that has 7 cubesin each layer.

Then complete the table below to match.

Number of cubes in base

Number of layers

Total number of cubes

1

3

5

7

9

7 Draw a quadrilateral and a pentagon that cover the same number of squares.

Shape

8 Two prism bases are shown below. Complete each drawing.

Geometric Reasoning

9 Write A next to all the acute angles.Write R next to all the right angles.Write O next to all the obtuse angles.

TESTER

What is the next number in this pattern?

64 53 42 31 20 ?

19 9 11 0

Colour onebubble.

Name

PAGE 37

The numerator in a fraction is the top number. The denominator is the bottom number or the total number of equal parts.

NUMBER &

ALGEBRA



4 × 25 =

4 × 27 =

so5 × 20 =

5 × 23 =

so

6 × 30 =

6 × 29 =

so8 × 20 =

8 × 18 =

so

2 Draw a dot array then write the fact family to match.

7 × 8 =

× =

÷ =

÷ =

6 × 4 =

× =

÷ =

÷ =

3 Complete these.

3 7 8

+ 3 5 2

4 8 6

+ 3 9 1

2 6 7

+ 4 4 5

5 4 3

+ 2 9 5


4 You can make equivalent fractions by doubling the numerator and the denominator. Write equivalent fractions for these.


3


4


5 Calculate the total cost in your head. Write a number sentence to show your thinking.

$1.95 + $7.48 = $

$2.99 + $5.39 = $

$6.98 + $3.49 = $

$1.97 + $11.05 = $

Mental M

aths


9 + 6 = 12 + 9 = 14 − 2 = 8 × 9 = 8 × = 88 35 ÷ 5 =

5 + 6 = 16 + 3 = 16 − 4 = 8 × 4 = 8 × = 160 ÷ 4 = 10

7 + 9 = 11 + 7 = 11 − 4 = 8 × 6 = × 8 = 800 16 ÷ 8 =

10 + 4 = 13 + 9 = 18 − 5 = 8 × 8 = 8 × = 400 ÷ 3 = 9

3 + 11 = 5 + 14 = 13 − 6 = 8 × 7 = × 8 = 96 ÷ 2 = 7

Answers will vary. This is one example.

A

A

A

R

R

R

R

OO

O

O

O

O

O

7 77 217 357 497 63

They are all odd, divisible

They are even numbers, divisible by

177 135150

231 245 290

299

212 198 127

115220

by 5 and between 100 – 300.

5 and between 100 – 300.

Name

PAGE 39

The (=) symbol means is the same as or is equal to. The ( ) symbol means is not equal to.

8NUMBER &

ALGEBRA


1 Write the value of the red digit.

3608

4175

8110

6290

3999

5961

3827

4106

3702

8217

2 Write the number in each box.

9200

9100

8900

8800

3 Complete these facts.

6 × =

÷ =

24 dots altogether

× 9 =

÷ =

36 dots altogether


4 Write the missing amounts.

Money in wallet Total cost Amount

left over

$120 $67.50

$200 $39.50

$50 $16.15

$150 $63.80

$43.45 $19.55

$70 $32.65

Patterns & Algebra

5 Write = or for each.

6 + 4 + 5 3 × 5 6 × 7 39 – 7

18 ÷ 2 20 − 12 18 + 19 4 × 9

4 × 8 20 + 4 + 18 72 ÷ 8 3 × 3

20 − 14 30 ÷ 5 63 ÷ 9 3 + 4

3 + 4 + 5 30 ÷ 3 48 ÷ 4 2 × 7

6 hundreds

Mental M

aths


6 + 7 = 50 + 50 = 18 – 6 = 8 × 7 = 3 × 3 = 40 ÷ 10 =

3 + 11 = 30 + 70 = 11 – 2 = 6 × 8 = 2 × 7 = 36 ÷ 9 =

9 + 8 = 60 + 70 = 14 – 9 = 11 × 8 = 3 × 7 = 20 ÷ 10 =

8 + 4 = 80 + 90 = 12 – 3 = 4 × 7 = 5 × 7 = 45 ÷ 9 =

7 + 3 = 70 + 20 = 19 – 7 = 7 × 5 = 6 × 3 = 72 ÷ 9 =


13 100 12 56 9 414 100 9 48 14 417 130 5 88 21 212 170 9 28 35 510 90 12

4 46 924 36

24 364 4

4 thousands 2 tens6 tens

9 tens 7 hundreds8 thousands 6 ones

9 ones 7 ones

93309300

9230

9160

9070

9000

8920

8890

9250

9140

9050

8950

8850

$52.50

$33.85$160.50

$86.20$63

$37.35

=

= ==

≠≠

≠≠

≠≠

35 18 8


STATIS

TIC

S &

PROBABIL

ITY

Chance

10 Imagine you take a toy car out of this box without looking.

Write colours to describe the toy cars.

a. is more likely than .

b. is the most unlikely.

c. It is impossible to draw a car.

d. and are equally likely.

e. is the most likely.

MEASUREMENT &

GEOMETRY


6 Draw the hands on the clock.

10:05

9:15

3:38

6:55

1 1:47

7:12

7 Write the time you do each of these.

:Wake up

:Go to school

:Eat lunch

:Eat dinner

:Eat breakfast

:Do homework

:Go to bed

:Leave school

8 Work out the total mass.

250 g 500 g 330 g 115 g

a. Apples and mushrooms g

b. Oranges and bananas g

c. Bananas and apples g

d. Mushrooms and oranges g

e. Which 2 items add to make 34 kg?

f. Which item is 12 kg?

Location & Transformation

9 Draw 2 shapes that have more than 1 mirror line. Then mark all the mirror lines.

TESTER

Look at this spinner.

Which letter is least likely?

CA B D

A

E

A

EAD

CD

Colour onebubble.

Name

PAGE 39

The (=) symbol means is the same as or is equal to. The ( ) symbol means is not equal to.

8

NUMBER &

ALGEBRA


1 Write the value of the red digit.

3608

4175

8110

6290

3999

5961

3827

4106

3702

8217

2 Write the number in each box.

9200

9100

8900

8800

3 Complete these facts.

6 × =

÷ =

24 dots altogether

× 9 =

÷ =

36 dots altogether


4 Write the missing amounts.

Money in wallet Total cost Amount

left over

$120 $67.50

$200 $39.50

$50 $16.15

$150 $63.80

$43.45 $19.55

$70 $32.65

Patterns & Algebra

5 Write = or for each.

6 + 4 + 5 3 × 5 6 × 7 39 – 7

18 ÷ 2 20 − 12 18 + 19 4 × 9

4 × 8 20 + 4 + 18 72 ÷ 8 3 × 3

20 − 14 30 ÷ 5 63 ÷ 9 3 + 4

3 + 4 + 5 30 ÷ 3 48 ÷ 4 2 × 7

6 hundreds

Mental M

aths


6 + 7 = 50 + 50 = 18 – 6 = 8 × 7 = 3 × 3 = 40 ÷ 10 =

3 + 11 = 30 + 70 = 11 – 2 = 6 × 8 = 2 × 7 = 36 ÷ 9 =

9 + 8 = 60 + 70 = 14 – 9 = 11 × 8 = 3 × 7 = 20 ÷ 10 =

8 + 4 = 80 + 90 = 12 – 3 = 4 × 7 = 5 × 7 = 45 ÷ 9 =

7 + 3 = 70 + 20 = 19 – 7 = 7 × 5 = 6 × 3 = 72 ÷ 9 =


365

580

830

615

apples oranges

oranges

7 00 8 15

7 15 10 15

12 30 6 30

9 00 3 00

BlueYellow

RedBlue

greenblack

green

Name

PAGE 41

To calculate the distance around a shape (perimeter), add the side lengths. Use compatible pairs to make the addition easier.

9NUMBER &

ALGEBRA


1 Write the number that is 10 000 more.

986 421

599 301

4321 7808

9999 1019

2 Complete the expanders to show the different ways to describe 30 000.

3 a. Use all the digits. Write the greatest number possible.

6, 0, 1, 7, 9 5, 8, 4, 2, 3

1, 9, 3, 2, 6 0, 2, 4, 9, 1

b. Write the 4 numbers in order from least to greatest.

4 Name 2 places you would see 5-digit numbers.

a.

b.

5 Complete these.

3 7 8

− 1 5 6

4 8 9

− 2 4 7

6 1 9

− 2 0 5

5 5 5

− 3 3 4


6 Write the fraction that is shaded.

Patterns & Algebra

7 Write the missing numbers to make the balance pictures true.

3617 42

5321 9

Mental M

aths


14 + 14 = 18 – 3 = – 13 = 7 × 8 = 16 90 × 2 = 54 ÷ 9 =

3 + 18 = – 4 = 12 19 – 6 = 4 × 4= 6 × 70 = 81 ÷ 9 =

17 + 17 = 13 – 11 = 24 – = 1 × 4 = 8 3 × 50 = 63 ÷ 9 =

13 + 13 = 17 – = 2 19 – 13 = 8 × 6 = 2 × 70 = 45 ÷ 9 =

19 + 19 = 10 – 6 = – 8 = 18 8 × = 64 7 × 90 = 27 ÷ 9 =


28 15 20 2 180 621 16 13 16 420 934 2 23 2 150 726 15 6 48 140 538

222 414242 221

10 986 10 421

10 599 10 301

14 321 17 80819 999 11 019

4 26 8

3

3

3

3

3

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

23

41

1

6

5

2

4

8

10

6

630 3

The price tag for a car.The attendance at a grand final.

97 610

96 321

85 432

94 210

85 432 94 210 96 321 97 610


TESTER Look at the calendar in Question 9.

What is the date of the 4th Sunday in October?

16th 2nd 9th 23rd

STATIS

TIC

S &

PROBABIL

ITY


12 Use the graph to complete this table.

Names Distance

m

m

m

m

m

Stud

ent

Mitchell

Sarah

Emily

Charlie

Thomas

0 2 4 6 8 10 12 14 16 18 20Distance in metres

Bean Bag Throws

MEASUREMENT &

GEOMETRY


8 Convert these distances.

m cm953 cm 8 m 14 cmcm



9 Look at this calendar.

October 2011

S M T W Th F S

30 31 1

2 3 4 5 6 7 8

9 10 11 12 13 14 15

16 17 18 19 20 21 22

23 24 25 26 27 28 29

a. How many days in October?

b. What date is the last Thursday?

c. How many Sundays in this month?

d. What day was 18 October?

e. What day was 30 September 2011?

f. What day was 1 November 2011?

10 Calculate the distance around each shape.

9 m

4 m

19 m

25 m

29 m

5 m

2 m

3 m

7 m

17 m10 m

21 m

5 m

21 m

A = m C = m

B = m D = m

AB

C

D

Shape

11 a. Draw 2 quadrilaterals, a circle, a polygon and a hexagon to create a picture.

b. Label the shapes as shown below. P = polygon Q = quadrilateral C = circle H = hexagon

Colour onebubble.

Name

PAGE 41

To calculate the distance around a shape (perimeter), add the side lengths. Use compatible pairs to make the addition easier.

9

NUMBER &

ALGEBRA


1 Write the number that is 10 000 more.

986 421

599 301

4321 7808

9999 1019

2 Complete the expanders to show the different ways to describe 30 000.

3 a. Use all the digits. Write the greatest number possible.

6, 0, 1, 7, 9 5, 8, 4, 2, 3

1, 9, 3, 2, 6 0, 2, 4, 9, 1

b. Write the 4 numbers in order from least to greatest.

4 Name 2 places you would see 5-digit numbers.

a.

b.

5 Complete these.

3 7 8

− 1 5 6

4 8 9

− 2 4 7

6 1 9

− 2 0 5

5 5 5

− 3 3 4



Patterns & Algebra

7 Write the missing numbers to make the balance pictures true.

3617 42

5321 9

Mental M

aths


14 + 14 = 18 – 3 = – 13 = 7 × 8 = 16 90 × 2 = 54 ÷ 9 =

3 + 18 = – 4 = 12 19 – 6 = 4 × 4= 6 × 70 = 81 ÷ 9 =

17 + 17 = 13 – 11 = 24 – = 1 × 4 = 8 3 × 50 = 63 ÷ 9 =

13 + 13 = 17 – = 2 19 – 13 = 8 × 6 = 2 × 70 = 45 ÷ 9 =

19 + 19 = 10 – 6 = – 8 = 18 8 × = 64 7 × 90 = 27 ÷ 9 =


9 537 19 10 415

903814

26 6517 82

3127th

5Tuesday

FridayTuesday

Thomas

EmilyCharlie

SarahMitchell 14

1619

78

P

HQ

Q

C

Name

PAGE 43

An acute angle is less than a quarter turn, a right angle is the same as a quarter turn and an obtuse angle is greater than a quarter turn but less than a half turn.

20NUMBER &

ALGEBRA


1 Loop the numbers that are less than 100 away from 10 000.

8980 9020 9942 9890

9902 9508 9998 9001


9300 9005 8998 9608

8900 8312 9109 9098

3 Write all the other factors.

1 × 84

×

×

×

×

×

84

1 × 72

×

×

×

×

×

72

1 × 96

×

×

×

×

×

96

4 Use all the digits. Make the greatest number possible.

0, 1, 8, 9, 2 8, 1, 1, 7, 0

0, 2, 7, 1, 0 7, 4, 0, 3, 9

1, 6, 9, 9, 0 2, 4, 6, 1, 5

5 Draw beads on the abacus to show the number. Then write the number.

fifty-nine thousand, three hundred and sixty-one

ThTTh H OnesT

thirty-one thousand, two hundred and forty-seven

ThTTh H OnesT

nineteen thousand, one hundred and eighty-nine

ThTTh H OnesT


6 Calculate the total cost.

Buy 4.

Total = $

$2.50

Buy 3.

$6.40

Total = $

Mental M

aths


9 + 8 = 18 − 7 = 14 − 8 = 3 × 5 = 8 × = 24 48 ÷ 4 =

12 + 12 = 11 − 8 = 19 − 14 = 6 × 8 = 4 × 8 = 24 ÷ 3 =

4 + 8 = 14 − 4 = 18 − 6 = 9 × 7 = × 4 = 36 14 ÷ 2 =

18 + 18 = 20 − 12 = 15 − 7 = 7 × 6 = 8 × 5 = 21 ÷ 7 =

5 + 13 = 18 − 11 = 9 − 4 = 2 × 8 = 8 × = 8 12 ÷ 4 =

17 11 6 15 3 1224 3 5 48 32 812 10 12 63 9 736 8 8 42 40 318 7 5 16 1

2 2 23 3 3

6 6 64 4 4

7 8 8

42 36 4828 24 32

14 12 1621 18 24

12 9 12

10.00 19.20

98 210 87 110

72 100 97 430

99 610 65 421

3

19 189

31 247

59 361

Answers will vary.


MEASUREMENT &

GEOMETRY


7 Measure and label the dimensions in cm.

cm

cm

cm

cm

cm

cm

cm

cm

8 Convert these measurements.

1 cm mm12 cm mm

4 12 cm mm

9 cm mm

90 cm mm 100 cm mm

85 cm mm

30 mm cm

9 Measure and label the dimensions in mm.

Geometric Reasoning

10 Draw a quadrilateral to match each label.

1 right angle,2 obtuse angles

2 acute angles, 1 right angle

TESTER Sarah has saved $268. She wants to buy a bicycle for $625.

How much more money does she need to save? $

Write your answer in the box.

mm

mm

mm

mm

mm

mm mm

mm

STATIS

TIC

S &

PROBABIL

ITY


11 a. Measure and record the length of 6 different shoes.

Shoes Length (cm)

Shoe 1

Shoe 2

Shoe 3

Shoe 4

Shoe 5

Shoe 6

b. Use the data to complete the graph.

Title:

Shoe 6

Shoe 5

Shoe 4

Shoe 3

Shoe 2

Shoe 1

0 5 10 15 20 25 30Length (cm)

Name

PAGE 43

An acute angle is less than a quarter turn, a right angle is the same as a quarter turn and an obtuse angle is greater than a quarter turn but less than a half turn.

20

NUMBER &

ALGEBRA



8980 9020 9942 9890

9902 9508 9998 9001


9300 9005 8998 9608

8900 8312 9109 9098

3 Write all the other factors.

1 × 84

×

×

×

×

×

84

1 × 72

×

×

×

×

×

72

1 × 96

×

×

×

×

×

96

4 Use all the digits. Make the greatest number possible.

0, 1, 8, 9, 2 8, 1, 1, 7, 0

0, 2, 7, 1, 0 7, 4, 0, 3, 9

1, 6, 9, 9, 0 2, 4, 6, 1, 5

5 Draw beads on the abacus to show the number. Then write the number.

fifty-nine thousand, three hundred and sixty-one

ThTTh H OnesT

thirty-one thousand, two hundred and forty-seven

ThTTh H OnesT

nineteen thousand, one hundred and eighty-nine

ThTTh H OnesT



Buy 4.

Total = $

$2.50

Buy 3.

$6.40

Total = $

Mental M

aths


9 + 8 = 18 − 7 = 14 − 8 = 3 × 5 = 8 × = 24 48 ÷ 4 =

12 + 12 = 11 − 8 = 19 − 14 = 6 × 8 = 4 × 8 = 24 ÷ 3 =

4 + 8 = 14 − 4 = 18 − 6 = 9 × 7 = × 4 = 36 14 ÷ 2 =

18 + 18 = 20 − 12 = 15 − 7 = 7 × 6 = 8 × 5 = 21 ÷ 7 =

5 + 13 = 18 − 11 = 9 − 4 = 2 × 8 = 8 × = 8 12 ÷ 4 =

3

23

1

3

5

41

19

12

20 25

34

16

17

21

10 5

3 45

90 850

900 1000

357

Name

PAGE 45

You can double and halve the factors in a multiplication problem to make the multiplication easier. For example, when you see 8 × 15 think 4 × 30 or 2 × 60 is 120.

2NUMBER &

ALGEBRA


1 Add 1200 to each number.

31 272 21 010

14 701 66 666

10 625 53 905

97 391 46 812

42 087 29 345

30 004 18 870

2 Write these numbers in words.

52 421

17 201

3 a. Use all the digits. Make the least number possible.

1, 8, 7, 0, 9 7, 4, 1, 2, 8

3, 0, 1, 2, 0 9, 7, 8, 2, 1

b. Order the 4 numbers from least to greatest.

4 Double and halve the factors. Then write the answers.

5 × 16 = is the same as

× =


× =


× =


× =


4 × 30 =

4 × 5 =

4 × 35 = so

5 × 20 =

5 × 6 =

5 × 26 = so

7 × 40 =

7 × 5 =

7 × 45 = so

9 × 20 =

9 × 3 =

9 × 23 = so

Patterns & Algebra

6 Write the missing parts in these patterns.

46, 56, 66, , , , 106, ,

3 × 3, 3 × 4, , , , 3 × 8

1, 2, 2, 3, 1, 2, 2, 3, 1, , , , , 2

97, 91, 85, , , 67, , , ,

Mental M

aths


16 + 3 + 7 = 21 – 4 = 19 − 7 = 7 × 7 = × 8 = 40 32 ÷ 8 =

12 + 6 + 8 = 21 – 8 = 17 − 4 = 3 × 8 = 5 × 4 = 18 ÷ 3 =

17 + 4 + 6 = 21 – 7 = 8 − 6 = 7 × 4 = × 7 = 14 24 ÷ 6 =

19 + 7 + 1 = 21 – 5 = 12 − 7 = 4 × 3 = 5 × 6 = 40 ÷ 5 =

18 + 9 + 1 = 21 – 2 = 13 − 9 = 7 × 9 = × 2 = 10 27 ÷ 9 =

454912172662024131326422821427830125162735

80

90 150

80

90 150

10

9 50

88

10 3

7

56

56

120 100

280 180

20 30

35 27

140 130

315 207

10 789

10 789

10 023

10 023

12 478

12 478

12 789

12 789

6341928

32 472 22 210

11 825 55 105

43 287 30 545

15 901 67 866

98 591 48 012

31 204 20 070

fifty-two thousand, four

seventeen thousand, two

hundred and twenty-one

hundred and one

76 86 96 116 126

2 2 3 179 5573 49 4361

3 x 5 3 x 6 3 x 7


STATIS

TIC

S &

PROBABIL

ITY Data Representation & Interpretation

12 Use the table to answer these questions.

a. The hottest day in Week 1 was .

b. The coldest day in Week 2 was .

c. The coldest Thursday was in Week .d. The difference in temperature

between both Tuesdays was ºC .

e. Which week was hottest overall? Week

Maximum Temperatures

Week 1 Week 2

Monday 24ºC Monday 28ºC

Tuesday 26ºC Tuesday 31ºC

Wednesday 31ºC Wednesday 33ºC

Thursday 27ºC Thursday 29ºC

Friday 25ºC Friday 26ºC

MEASUREMENT &

GEOMETRY


7 Convert these measurements.

1 L = mL 2 L = mL

12 L = mL L = 5000 mL

2 12 L = mL 3 1

2 L = mL

14 L = mL L = 1500 mL

8 Calculate the totals.

500 mL

+

250 mL

mL

50 mL

+

125 mLmL

250 mL

+

250 mL

+

250 mL

mL

500 mL

+

500 mL

+

500 mLL

250 mL

+

200 mL

+

50 mLL

9 Write these times.

thirty-fi ve minutes past 10 :

thirteen minutes past 8:

quarter past 2 :

20 minutes to 6:

Location & transformation

5

4

3

2

1

A B C D E F G H

10 N

Colour these squares red: D5, G3, C5, B4.• Draw a green • one square north of E4. Draw a red • one square east of H4. Draw a blue • one square north-east of C1.

11 Redraw the shape to show a fl ip to the right.

TESTER Which of these has the same value as 14 × 5?

60 + 8 + 4 10 × 7 100 − 20 100 ÷ 10Colour one

bubble.

Name

PAGE 45

You can double and halve the factors in a multiplication problem to make the multiplication easier. For example, when you see 8 × 15 think 4 × 30 or 2 × 60 is 120.

2

NUMBER &

ALGEBRA


1 Add 1200 to each number.

31 272 21 010

14 701 66 666

10 625 53 905

97 391 46 812

42 087 29 345

30 004 18 870

2 Write these numbers in words.

52 421

17 201

3 a. Use all the digits. Make the least number possible.

1, 8, 7, 0, 9 7, 4, 1, 2, 8

3, 0, 1, 2, 0 9, 7, 8, 2, 1

b. Order the 4 numbers from least to greatest.

4 Double and halve the factors. Then write the answers.


× =


× =


× =


× =


4 × 30 =

4 × 5 =

4 × 35 = so

5 × 20 =

5 × 6 =

5 × 26 = so

7 × 40 =

7 × 5 =

7 × 45 = so

9 × 20 =

9 × 3 =

9 × 23 = so

Patterns & Algebra

6 Write the missing parts in these patterns.

46, 56, 66, , , , 106, ,

3 × 3, 3 × 4, , , , 3 × 8

1, 2, 2, 3, 1, 2, 2, 3, 1, , , , , 2

97, 91, 85, , , 67, , , ,

Mental M

aths


16 + 3 + 7 = 21 – 4 = 19 − 7 = 7 × 7 = × 8 = 40 32 ÷ 8 =

12 + 6 + 8 = 21 – 8 = 17 − 4 = 3 × 8 = 5 × 4 = 18 ÷ 3 =

17 + 4 + 6 = 21 – 7 = 8 − 6 = 7 × 4 = × 7 = 14 24 ÷ 6 =

19 + 7 + 1 = 21 – 5 = 12 − 7 = 4 × 3 = 5 × 6 = 40 ÷ 5 =

18 + 9 + 1 = 21 – 2 = 13 − 9 = 7 × 9 = × 2 = 10 27 ÷ 9 =

Wednesday

Friday1

2

5

8 13

2 15

10 35

5 40

10005002500

5

1250

2000

35001 2

750

175

750

1 1 2

1 2

Name

PAGE 47

You can use a place-value strategy to multiply. For example, when you see 6 × 23 think 6 × 20 plus 6 × 3 is 120 + 18 = 138.

NUMBER &

ALGEBRA


1 Draw beads on the abacus to show the number. Then add one bead to the digit that is red and write the new number.

HTh T Ones

17 847

New number TTh HTh T Ones

28 601

New number TTh

HTh T Ones

21 304


82 526

New number TTh

2 Write the numbers just before and just after.

19 342

29 802

45 260

68 400

31 799

72 600

20 000

3 Double each number.

24 74

48 124

70 261

4 Calculate the cost of buying 5.

$35

5 × 30 =

5 × 5 =

Total

$

$27

5 × 20 =

5 × 7 =

Total

$

$43

5 × =

5 × =

Total

$

$52

5 × =

5 × =

Total

$


5 Draw lines to connect equivalent fractions.

102

104

108

105

106

21

51

53

54

52

22Mental M

aths


13 + 8 + 7 = – 4 = 19 – 14 = 12 6 × 10 = 11 × = 88 42 ÷ 6 =

7 + 12 + 8 = 23 – 10 = 19 – 4 = 9 × 6 = 6 × 4 = 99 ÷ 11 =

11 + 4 + 9 = 32 – 6 = 17 – = 2 10 × 10 = × 6 = 42 36 ÷ 6 =

13 + 4 + 7 = 41 – = 7 14 – 5 = 3 × 9 = 6 × 8 = 24 ÷ 6 =

6 + 4 + 15 = 18 – 14 = – 5 = 18 3 × 10 = 11 × = 11 33 ÷ 11 =

7860262328924541513276710015262444827934243

150

100

200

250

40

50

25

35

15

10

3

2

175

135

215

260

19 341 19 34329 801 29 80345 259 45 26168 399 68 40131 798 31 80072 599 72 60119 999 20 001

1

48 14896 248140 522

3023425

17 848

31 304

29 601

82 626


MEASUREMENT &

GEOMETRY


6 Complete the table.

Container

500 mL 250 mL 100 mL 50 mL

Number needed to make 2L

7 Calculate these amounts.

Drink 3

Total = mL

600 mL

Drink 4

Total = mL

300 mL

Drink 5

250 mL

Drink 2

2 L

Total = mL Total = mL

8 Draw lines to connect matching amounts.

500 mL

15 L

100 mL

34 L

250 mL

12 L

200 mL

14 L

750 mL

110 L

9 Calculate the area of each shape.

A

C

B

A = squares B = squares

C = squares

Shape

10 Draw a net

for .


11 Draw a shape that has exactly 4 mirror lines.

TESTER

Which picture shows a three-quarter turn clockwise?

Colour onebubble.

STATIS

TIC

S &

PROBABIL

ITY

Chance

12 Draw lines to show the likelihood of each event.

Impossible Unlikely Even Chance Likely Certain

Snow in summer Flip heads on a coin You will sleep tonight The sun will rise Milk in the fridge

Win lotto Dog riding a bike All homework correctA house number being odd

Name

PAGE 47

You can use a place-value strategy to multiply. For example, when you see 6 × 23 think 6 × 20 plus 6 × 3 is 120 + 18 = 138.

NUMBER &

ALGEBRA


1 Draw beads on the abacus to show the number. Then add one bead to the digit that is red and write the new number.

HTh T Ones

17 847


28 601

New number TTh

HTh T Ones

21 304


82 526

New number TTh

2 Write the numbers just before and just after.

19 342

29 802

45 260

68 400

31 799

72 600

20 000

3 Double each number.

24 74

48 124

70 261

4 Calculate the cost of buying 5.

$35

5 × 30 =

5 × 5 =

Total

$

$27

5 × 20 =

5 × 7 =

Total

$

$43

5 × =

5 × =

Total

$

$52

5 × =

5 × =

Total

$


5 Draw lines to connect equivalent fractions.

102

104

108

105

106

21

51

53

54

52

22

Mental M

aths


13 + 8 + 7 = – 4 = 19 – 14 = 12 6 × 10 = 11 × = 88 42 ÷ 6 =

7 + 12 + 8 = 23 – 10 = 19 – 4 = 9 × 6 = 6 × 4 = 99 ÷ 11 =

11 + 4 + 9 = 32 – 6 = 17 – = 2 10 × 10 = × 6 = 42 36 ÷ 6 =

13 + 4 + 7 = 41 – = 7 14 – 5 = 3 × 9 = 6 × 8 = 24 ÷ 6 =

6 + 4 + 15 = 18 – 14 = – 5 = 18 3 × 10 = 11 × = 11 33 ÷ 11 =


4 8 20 40

3035

22

1250 4000

1800 1200

Name

PAGE 49

You can use compatible pairs to make addition easier. For example, when you see 52 + 13 + 28 + 37, add the pairs that are easy (52 + 28 and 13 + 37) first.

23NUMBER &

ALGEBRA


1 Write each number.

eighteen thousand, six hundred and thirty-one

twenty-one thousand, two hundred and nineteen

seventy-four thousand, one hundred and four

forty-four thousand, three hundred

2 Add 198 to these numbers.

167 348 182 402


150 299 405 151

4 Halve these numbers.

50 86 98

128 130 74

5 Loop together the pairs that are easy to add. Then write the total.

Total =

35 80

25 20

Total = 22 45

38 15

Total = 140 18

60 32

Total = 134 25

45 26

Money & financial Mathematics

6 Calculate the cost of these buys.

$565

$347

$179

$218

Total = $

phone and laptop

Total = $

speakers and camera

Total = $

laptop and camera

Total = $

phone and speakers

Mental M

aths


6 + = 12 8 + = 16 42 – 9 = 9 × 6 = 4 × = 28 21 ÷ 3 =

3 + = 10 + 4 = 17 35 – 9 = 4 × 8 = × 7 = 21 24 ÷ 4 =

+ 9 = 14 + 6 = 10 21 – 9 = 3 × 7 = 7 × = 49 30 ÷ 10 =

+ 8 = 11 2 + = 9 48 – 9 = 7 × 6 = × 7 = 35 28 ÷ 4 =

11 + = 15 9 + = 18 67 – 9 = 6 × 4 = × 7 = 7 40 ÷ 5 =

77543386633226137372112457542397381

18 631

74 104

21 219

44 300

245894

25 43 4964 65 37

365

499

546

648

380

754

600

500

160

120

250

230

744 565

783 526

565 +100 665

565 +200

765

347 +200

547

347 +100 447

665 +79 744

765 +18 783

547 +18

565

447 +79 526


TESTER

65 300 65 400 65 500

What number is the red arrow pointing to?

MEASUREMENT &

GEOMETRY


7 a. Write 4 things you do in the a.m. time period.

b. Write 4 things you do in the p.m. time period.

8 Write the time. Then loop a.m. or p.m.

shower before bed:p.m.

a.m.

p.m.

a.m.shoes on for school :

p.m.

a.m.eat morning tea :

Shape

9 Draw 2 different nets that will fold to make a square-based pyramid.

Geometric Reasoning

10 Look at the angles that are marked. Write the number of each type.

acute right obtuse

STATIS

TIC

S &

PROBABIL

ITY Data Representation & Interpretation

11 Draw a line to connect each town to the temperature shown in the table.

Town Temperature (ºC)

Cloncurry 33

Devonport 14

Yulara 35

St. Kilda 24

Wagga 28

40

30

20

10

0

Wagga

St. Kilda

Devonport

Cloncurry

Yulara

Write your answer in the box.

Name

PAGE 49

You can use compatible pairs to make addition easier. For example, when you see 52 + 13 + 28 + 37, add the pairs that are easy (52 + 28 and 13 + 37) first.

23

NUMBER &

ALGEBRA


1 Write each number.

eighteen thousand, six hundred and thirty-one

twenty-one thousand, two hundred and nineteen

seventy-four thousand, one hundred and four

forty-four thousand, three hundred


167 348 182 402


150 299 405 151

4 Halve these numbers.

50 86 98

128 130 74

5 Loop together the pairs that are easy to add. Then write the total.

Total =

35 80

25 20

Total = 22 45

38 15

Total = 140 18

60 32

Total = 134 25

45 26

Money & financial Mathematics

6 Calculate the cost of these buys.

$565

$347

$179

$218

Total = $

phone and laptop

Total = $

speakers and camera

Total = $

laptop and camera

Total = $

phone and speakers

Mental M

aths


6 + = 12 8 + = 16 42 – 9 = 9 × 6 = 4 × = 28 21 ÷ 3 =

3 + = 10 + 4 = 17 35 – 9 = 4 × 8 = × 7 = 21 24 ÷ 4 =

+ 9 = 14 + 6 = 10 21 – 9 = 3 × 7 = 7 × = 49 30 ÷ 10 =

+ 8 = 11 2 + = 9 48 – 9 = 7 × 6 = × 7 = 35 28 ÷ 4 =

11 + = 15 9 + = 18 67 – 9 = 6 × 4 = × 7 = 7 40 ÷ 5 =


65 690

13 6 5

eat breakfast

eat lunch

get dressed

do homework

go to school

play with my brother

have recess/morning tea

eat dinner

6 50

10 20

7 45

Name

PAGE 51

You can use a place-value strategy when adding dollar-and-cent amounts. For example, when you see $18.30 + $42.50 think $18 + $42 + 30c + 50c = $60.80.

24NUMBER &

ALGEBRA


1 Write the numbers 1000 more and 1000 less.

1000 less

61 532 29 401 84 291 50 325

1000 more

2 Write the numbers in the boxes.

12 300

12 700

13 100

12 100

12 500

12 900

13 300

3 Find the difference between these scores.

Difference =

342 points 136 points

Difference =



4 Calculate the total cost of the groceries.

and Total = $$14.70 $13.40

and Total = $$12.80 $21.70

and Total = $$25.40 $11.50

and Total = $$13.10 $7.80

Patterns & Algebra

5 Cross out the number that does not belong in each pattern.

6 , 9 , 12 , 14 , 15 , 18 , 21 , 24 , 27

25 , 50 , 75 , 100 , 110 , 125 , 150

1550 , 2550 , 3500 , 3550 , 4550 , 5550

10 000 , 8000 , 6000 , 5000 , 4000 , 2000

9 , 18 , 27 , 36 , 41 , 45 , 54 , 63 , 72 , 81

Mental M

aths


+ 3 = 10 16 + = 40 14 – 6 = 7 × 11 = 30 × 8 = 12 ÷ 3 =

7 + 6 = 26 + 3 = 11 – 3 = 8 × 7 = 60 × 7 = 30 ÷ 5 =

3 + 18 = + 18 = 60 20 – 14 = 7 × 2 = 8 × 40 = 27 ÷ 3 =

4 + = 10 34 + 8 = 18 – 14 = 6 × 7 = 70 × 5 = 44 ÷ 11 =

8 + 10 = 65 + = 80 24 – 13 = 7 × 7 = 3 × 40 = 16 ÷ 4 =

4240778247642056829139320146422143504244264120

28.10

34.50

36.90

20.90

$14.70 + 30c+ $13.10

$12.80 + 20c + $21.50

$25.40 + $11 + 50c

$13.10 + $7 + 80c

4911

13 250

12 800

12 450

13 050

12 850

12 600

12 400

12 200

1518

60 532

62 532

28 401

30 401

83 291

85 291

49 325

51 325

206 318

342 –100 242

725 –400

325

242 –36

325 –7


STATIS

TIC

S &

PROBABIL

ITY


Com

pet

itor

Sandy

Tom

Steve

Tina

Kelly

Jim

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70

Number of fi sh

Fishing Competition9

Complete this picture graph to show the same data.

Sandy Tom Steve Tina Kelly Jim

Title: = 10 fi sh

MEASUREMENT &

GEOMETRY


6 Show the times and loop a.m. or p.m.

p.m.a.m.:

Ten minutes past twelve in the afternoon

p.m.a.m.:

Quarter past seven in the morning

p.m.a.m.:

Twenty minutes to two in the afternoon

p.m.a.m.:

Twenty-fi ve minutes past six in the evening

7 Write the total time in 2 different ways.

Footy training 40 mins

Swim squad 25 mins

minutes

hour minutes

Ride bike 38 mins

Mow grass 42 mins

minutes

hour minutes

Bath 19 mins

Shopping 55 mins

minutes

hour minutes

Make bed 5 mins

Homework 47 mins

minutes

hour minutes


8 Draw the refl ection on the other side of the mirror line.

TESTER Which words best describe this angle?

right angle acute angle

obtuse angle quarter turn

Colour onebubble.

Name

PAGE 51

You can use a place-value strategy when adding dollar-and-cent amounts. For example, when you see $18.30 + $42.50 think $18 + $42 + 30c + 50c = $60.80.

24

NUMBER &

ALGEBRA


1 Write the numbers 1000 more and 1000 less.

1000 less

61 532 29 401 84 291 50 325

1000 more

2 Write the numbers in the boxes.

12 300

12 700

13 100

12 100

12 500

12 900

13 300

3 Find the difference between these scores.

Difference =


Difference =



4 Calculate the total cost of the groceries.

and Total = $$14.70 $13.40

and Total = $$12.80 $21.70

and Total = $$25.40 $11.50

and Total = $$13.10 $7.80

Patterns & Algebra

5 Cross out the number that does not belong in each pattern.

6 , 9 , 12 , 14 , 15 , 18 , 21 , 24 , 27

25 , 50 , 75 , 100 , 110 , 125 , 150

1550 , 2550 , 3500 , 3550 , 4550 , 5550

10 000 , 8000 , 6000 , 5000 , 4000 , 2000

9 , 18 , 27 , 36 , 41 , 45 , 54 , 63 , 72 , 81

Mental M

aths


+ 3 = 10 16 + = 40 14 – 6 = 7 × 11 = 30 × 8 = 12 ÷ 3 =

7 + 6 = 26 + 3 = 11 – 3 = 8 × 7 = 60 × 7 = 30 ÷ 5 =

3 + 18 = + 18 = 60 20 – 14 = 7 × 2 = 8 × 40 = 27 ÷ 3 =

4 + = 10 34 + 8 = 18 – 14 = 6 × 7 = 70 × 5 = 44 ÷ 11 =

8 + 10 = 65 + = 80 24 – 13 = 7 × 7 = 3 × 40 = 16 ÷ 4 =

80

74

62

65

20

14

2

5

1

1

1

1

Fishing Competition

Competitor

7 15

12 10

6 25

1 40

Name

PAGE 53

REVIEW 3

NUMBER &

ALGEBRA


1 Write the number and the number words.

TTTh H OnesT

TT T h H O nesT

2 Draw a line to the correct place on the number line.

16 275

16 200

16 000

16 250

16 100

16 05015 900

16 300

3 Double and halve to solve these.


× =


× =


× =


× =



5 Write equivalent fractions.

32

9is the

same as 21

10is the

same as

43

12is the

same as 63

12is the

same as

108

5is the

same as 53

10is the

same as


6 Calculate the total cost of each buy.

Buy 4.

Total = $

$4.50

Buy 2.

Total = $

$37.65


$163 $595 $177

$

phone and speakers

$

speakers and laptop

$

laptop and phone

Patterns & Algebra

8 Cross out the part that is incorrect in each pattern.

5 , 10 , 20 , 40 , 60 , 80 , 160 , 320 , 640

3470 , 3370 , 3270 , 3207 , 3170 , 3070

9 , 16 , 23 , 30 , 35 , 37 , 44 , 51 , 58 , 65

122 , 119 , 116 , 113 , 110 , 107 , 103

6

9

4

5

6

6

18.00 75.30

90 90

280 150

90 90

280 150

3 9

70 50

30 10

4 3

5

4212

86

340 772 758

177 +100

277 +63

595 +100 695 +77

595 +100 695 +63

sixty-three

thirteen thousand,

63 413

13 165

thousand, four

one hundred and

hundred and thirteen

sixty-five

MEASUREMENT &

GEOMETRY


9 Convert these lengths.

4 14 m mm 15 m mm

72 14 m mm 900 mm m

18 14 m mm 1500 mm m

10 Write the digital time and loop a.m. or p.m.

p.m.a.m.:

Wake up before sunrise

p.m.a.m.:

Fireworks display

11 Match the times.

12 minute

2 12 days

30 minutes

90 seconds

12 hour

30 seconds

60 hours

1 12 minutes

12 Draw a different shape that has the same area.

Shape

13 Two prism bases are shown below. Complete each drawing.


14 Write the colour of these grid squares.

3

2

1

A B C D E F G H

F2 = H1 = A3 =

Geometric Reasoning

15 Loop the obtuse angles.

STATIS

TIC

S &

PROBABIL

ITY

Chance

16 Colour the spinner to match the label.

Data representation & Interpretation

17 Use the graph to complete the table.

Loca

tion

Temperatures

ArgyleYarraRomaBega

Paloona0 2 4 6 8 10 12 14 16 18 20 22 24

Degrees (ºC)

Locations Degrees (°C)

Argyle

Yarra

Roma

Bega

Paloona

Green is unlikely.

Yellow is more likely than red.

Yellow and blue have an equal chance.

Name

PAGE 53

REVIEW 3

NUMBER &

ALGEBRA


1 Write the number and the number words.

TTTh H OnesT

TT T h H O nesT

2 Draw a line to the correct place on the number line.

16 275

16 200

16 000

16 250

16 100

16 05015 900

16 300

3 Double and halve to solve these.


× =


× =


× =


× =



5 Write equivalent fractions.

32

9is the

same as 21

10is the

same as

43

12is the

same as 63

12is the

same as

108

5is the

same as 53

10is the

same as


6 Calculate the total cost of each buy.

Buy 4.

Total = $

$4.50

Buy 2.

Total = $

$37.65


$163 $595 $177

$

phone and speakers

$

speakers and laptop

$

laptop and phone

Patterns & Algebra

8 Cross out the part that is incorrect in each pattern.

5 , 10 , 20 , 40 , 60 , 80 , 160 , 320 , 640

3470 , 3370 , 3270 , 3207 , 3170 , 3070

9 , 16 , 23 , 30 , 35 , 37 , 44 , 51 , 58 , 65

122 , 119 , 116 , 113 , 110 , 107 , 103


yellow purple green

21

198

1411

4 10

7 40

4250

72 250

18 250

15 000

1

9 10

1 2

15 21 12 72 11 7 14 − 2 = 16 − 4 = 11 − 4 = 18 − 5 = 13 − 6€¦ · 7 + 9 = 11 + 7 = 11...

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