Name€¦ · 20 10 13 80 20 30 24 2 19 30 12 48 30 8 8 10 50 32 26 4 24 50 25 200 11 40 6.49 10.54...

Name

PAGE 37

NUMBER &

ALGEBRA

Number & Place Value

1 Break each number into parts that are easy to divide. Then write the answer.

÷ 5 =230

+

÷ 5 =370

+

÷ 6 =432

+

÷ 6 =564

+

÷ 7 =231

+

÷ 7 =595

+

÷ 9 =3870

+

÷ 9 =7830

+

÷ 6 =$33.60

+

$÷ 4 =$21.60

+

$

$÷ 8 =$66.40

+

$÷ 7 =$55.30

+

2 Complete the diagrams to show how you can use factors to solve these.

÷ 12

÷ ÷

420

÷ 16

÷ ÷

400

÷ 15

÷ ÷

390

÷ 24

÷ ÷

480

Fractions & Decimals

3 Use a written method to calculate these.

36.2 − 8.7 = 45.68 − 8.43 =

72.09 – 14.23 = 26.9 – 7.18 =

You can use factors to make division of large numbers easier. For example, when you see 660 ÷ 15 think 3 × 5 = 15 so 660 ÷ 3 = 220 then 220 ÷ 5 = 44.

Mental M

aths

Addition & Subtraction Multiplication & division

15 + 9 = 14 − 7 = 18 − = 12 9 × 6 = 9 × = 900 30 ÷ 10 =

18 + 8 = 16 − 9 = 15 − = 8 9 × 3 = × 9 = 270 50 ÷ 10 =

13 + 14 = 12 − 8 = − 4 = 17 9 × 7 = 9 × = 180 10 ÷ 10 =

15 + 14 = 11 − 3 = − 15 = 9 9 × 10 = 9 × = 108 90 ÷ 10 =

8 + 22 = 13 − 8 = 30 − = 16 9 × 2 = × 9 = 99 100 ÷ 10 =

24 7 6 54 100 326 7 7 27 30 527 4 21 63 20 129 8 24 90 12 930 5 14 18 11

27.5

57.86

37.25

19.72

10

46

72

33

430

5.40

8.30

30

12

21

270

$1.60

$2.40

200

420

210

3600

$20

$64

74

94

85

870

5.60

7.90

20

24

35

630

$3.60

$6.30

350

540

560

7200

$30

$49

6

3

8

12

2

5

2

2

70

130

50

40

35

26

25

20

PARENT/CARER SIGNATURE PAGE 38

MEASUREMENT &

GEOMETRY

using units of measurement

4 The distances around this school are shown in metres.

Cricket nets

Netballcourts

A Block

C Block

Performing ArtsD Block

B Block Admin

Car park Prep

Oval244

123

285

256

180

79

137

365

188

279

87

142

294

265104

320

196

187

N

EW

S

Write the distance for each trip in 2 ways.

D Block Performing Arts C Block

= m

= km

Admin Prep Oval

= m

= km

Car park Admin A Block Netball courts

= m

= km

Prep

B Block D Block Admin C Block

= m

= km

Prep Oval Netball courts Prep

= m

= km

Geometric Reasoning

5 Label these angles as acute, obtuse and refl ex.

TESTER Which 2 operations will complete a true number sentence?

8 (12 2) = 48

Write your answers in the boxes.

STATIS

TIC

S &

PROBABIL

ITY

Chance

6 Marbles are randomly drawn from this bag.a. Write a fraction to describe the chance of taking

these marbles out of the bag.

purple yellow

green green or orange

blue red or blue

b. Which colour is most likely?

Name

PAGE 37

NUMBER &

ALGEBRA


1 Break each number into parts that are easy to divide. Then write the answer.

÷ 5 =230

+

÷ 5 =370

+

÷ 6 =432

+

÷ 6 =564

+

÷ 7 =231

+

÷ 7 =595

+

÷ 9 =3870

+

÷ 9 =7830

+

÷ 6 =$33.60

+

$÷ 4 =$21.60

+

$

$÷ 8 =$66.40

+

$÷ 7 =$55.30

+

2 Complete the diagrams to show how you can use factors to solve these.

÷ 12

÷ ÷

420

÷ 16

÷ ÷

400

÷ 15

÷ ÷

390

÷ 24

÷ ÷

480


3 Use a written method to calculate these.

36.2 − 8.7 = 45.68 − 8.43 =

72.09 – 14.23 = 26.9 – 7.18 =

You can use factors to make division of large numbers easier. For example, when you see 660 ÷ 15 think 3 × 5 = 15 so 660 ÷ 3 = 220 then 220 ÷ 5 = 44.

Mental M

aths


15 + 9 = 14 − 7 = 18 − = 12 9 × 6 = 9 × = 900 30 ÷ 10 =

18 + 8 = 16 − 9 = 15 − = 8 9 × 3 = × 9 = 270 50 ÷ 10 =

13 + 14 = 12 − 8 = − 4 = 17 9 × 7 = 9 × = 180 10 ÷ 10 =

15 + 14 = 11 − 3 = − 15 = 9 9 × 10 = 9 × = 108 90 ÷ 10 =

8 + 22 = 13 − 8 = 30 − = 16 9 × 2 = × 9 = 99 100 ÷ 10 =

555

654

1087

0.555

0.654

1.087

180188187

104265285

256 279365 187

431

376

0.431

0.376

294137

196180

x ÷

acute reflex obtuse

blue

12 12

12 12

12 12

1 3

2 3

4 5

Name

PAGE 39

NUMBER &

ALGEBRA


1 Break each number into parts to divide these.

÷ 4 =680

+

÷ 5 =485

+

$÷ 8 =$59.20

+

$÷ 4 =$26.40

+

2 Use factors to help you divide these.

÷ 18

÷ ÷

936

÷ 40

÷ ÷

1280

÷ 90

÷ ÷

3690

÷ 24

÷ ÷

864

Money & Financial Mathematics

3 Use these items to answer the questions.

95c

PARTY FOODS

$1.89 $7.59

$3.85$2.95$4.60

a. Write the total cost.

marshmallows and jelly beans

Cost = $

chocolate and ice cream

Cost = $

licorice, potato chips and chocolate

Cost = $

b. Write the difference between these prices.

licorice and jelly beans

Difference = $

potato chips and marshmallows

Difference = $

You can divide the parts to make division of large numbers easier. For example, when you see 1456 ÷ 7 think 1400 ÷ 7 plus 56 ÷ 7 = 200 + 8 = 208.

Mental M

aths


11 + 9 = 14 − 4 = 17 − = 4 8 × 10 = × 10 = 200 ÷ 2 = 15

8 + 16 = 15 − 13 = − 6 = 13 3 × 10 = 10 × = 120 ÷ 2 = 24

15 + 15 = 11 − 3 = 20 − = 12 1 × 10 = × 10 = 500 ÷ 2 = 16

12 + 14 = 12 − 8 = − 7 = 17 5 × 10 = 10 × = 250 ÷ 2 = 100

13 + 13 = 16 − 8 = 21 − = 15 2 × 10 = × 10 = 110 ÷ 2 = 20

8

3020801310204812301922432501088302002550244264011

6.49

10.54

7.75

3.65

1.96

$1.89 + $4.60

$2.95 + $7.59

95c + $3.85 + $2.95

$4.60 – 95c

$3.85 – $1.89

2068

104

369

320

108

9

10

4

8

2

9

10

3

52

41

32

36

170

7.40

97

6.60

280

$3.20

35

$2.40

400

$56

450

$24

26


MEASUREMENT &

GEOMETRY


4 Work out these total masses. Remember to convert to the same mass unit fi rst.

1.355 kg 0.45 kg 250 g 330 g

0.2 kg 760 g 450 g 1.25 kg

apples and berries nuts and kiwifruit

Total kg Total kg

melon, celery and grapes

bananas, melon and berries

Total kg Total kg

5 Write the direction and distance.

1 cm = 200 mSchool Camp

Volleyball

Obstacle course

Flying fox

Highropes

Canoes

Cabins

Archery

N

EW

S

Rock climbing

a. Archery Obstacle course m

b. Flying fox Cabins m

c. High ropes Rock climbing m

d. Volleyball High ropes m

TESTER

One hundred students were asked to vote for their favourite sport.This pie chart shows the results.

What percentage describes the number who voted for netball?

18% 50%10% 25%

STATIS

TIC

S &

PROBABIL

ITY chance

6 These 3 animal cards have been cut into Head, Body and Feet cards.

Imagine you combine different head, body and feet cards to create crazy animals.

a. How many different animals can you make?

b. What fraction of these will be correct animals?

c. If you choose an eagle's head, how many different animals can you make?

d. If you choose a rabbit's body, how many different animals can you make?

Colour onebubble.netball

swimming

soccercricket

Name

PAGE 39

NUMBER &

ALGEBRA


1 Break each number into parts to divide these.

÷ 4 =680

+

÷ 5 =485

+

$÷ 8 =$59.20

+

$÷ 4 =$26.40

+

2 Use factors to help you divide these.

÷ 18

÷ ÷

936

÷ 40

÷ ÷

1280

÷ 90

÷ ÷

3690

÷ 24

÷ ÷

864


3 Use these items to answer the questions.

95c

PARTY FOODS

$1.89 $7.59

$3.85$2.95$4.60

a. Write the total cost.

marshmallows and jelly beans

Cost = $

chocolate and ice cream

Cost = $

licorice, potato chips and chocolate

Cost = $

b. Write the difference between these prices.

licorice and jelly beans

Difference = $

potato chips and marshmallows

Difference = $

You can divide the parts to make division of large numbers easier. For example, when you see 1456 ÷ 7 think 1400 ÷ 7 plus 56 ÷ 7 = 200 + 8 = 208.

Mental M

aths


11 + 9 = 14 − 4 = 17 − = 4 8 × 10 = × 10 = 200 ÷ 2 = 15

8 + 16 = 15 − 13 = − 6 = 13 3 × 10 = 10 × = 120 ÷ 2 = 24

15 + 15 = 11 − 3 = 20 − = 12 1 × 10 = × 10 = 500 ÷ 2 = 16

12 + 14 = 12 − 8 = − 7 = 17 5 × 10 = 10 × = 250 ÷ 2 = 100

13 + 13 = 16 − 8 = 21 − = 15 2 × 10 = × 10 = 110 ÷ 2 = 20

8

1.685 0.45

2.46 2.03

E 400

NE 225W 1000

S 500

27

9

9

19

Name

PAGE 41

NUMBER &

ALGEBRA


1 Write the missing integers.

–2 10 5

2 Write > or < to show true comparisons.

3 5

3 –5

–3 5

–3 –5

0 –4

2 –3

3 List all the integers between these numbers.

4 and –3

–2 and 5

4 Write each row in order from least to greatest.

–1, 5, 2, –4, 0, 3

3, 0, –2, 1, – 4, –5

5 Complete the number sentences.

Th H T Ones t h th

6 × 1000 = 6 .6 × 100 = .6 × 10 = .6 × 1 = .

6 × 0.1 = .6 × 0.01 = .

6 × 0.001 = .

6 Write the temperature shown then the new temperature.

New Temperature

°C

Rises 15°C

Temperature

°C

–20

–10

0

10

20

30

New Temperature

°C

Falls 20°C

Temperature

°C

–20

–10

0

10

20

30

New Temperature

°C

Falls 9°C

Temperature

°C

–20

–10

0

10

20

30

New Temperature

°C

Rises 20°C

Temperature

°C

–20

–10

0

10

20

30


7 Complete these.

0.03

×

÷

30

×

50

0.80

× 10

÷

8 0.6

× 1000

÷

÷ 100

Integers are the counting numbers (1, 2, 3, 4...), zero and the negatives of the counting numbers (–1, –2, –3, –4...).

Mental M

aths


11 + 14 = 12 − 9 = 16 − = 4 6 × 10 = × 10 = 720 ÷ 2 = 48

16 + 12 = 13 − 6 = − 8 = 13 10 × 10 = 5 × = 120 ÷ 2 = 36

13 + 9 = 11 − 6 = 32 − = 12 10 × 7 = × 10 = 600 ÷ 2 = 14

14 + 15 = 14 − 6 = − 7 = 28 4 × 10 = 5 × = 250 ÷ 2 = 90

20 + 13 = 15 − 6 = 45 − = 15 10 × 0 = × 5 = 110 ÷ 2 = 26

9

967260123257224100217282860702052218050403582952220

3, 2, 1, 0, –1, –2–1, 0, 1, 2, 3, 4

–4, –1, 0, 2, 3, 5–5, –4, –2, 0, 1, 3

000

66

600 0 6

6

6000

–8

–8

7

–17

8

8

–12

28

10 1000

600

1001000

1000

0.5

309

–4 –3 –1 2 3 4

33

< > <> > >


MEASUREMENT &

GEOMETRY


8 Write each list in order from least to greatest.

1.06 kg

800 g

1.515 kg

1.2 kg

0.75 kg

250 g

2.05 kg

1.09 kg

1100 g

0.52 kg

9 Convert these lengths.

0.682 m cm 0.95 km m

0.91 m cm34 km m

0.5 m mm25 km m

1.76 m mm 900 m km

shape

10 Write the full name of each object.

Geometric Reasoning

11 Use a protractor to measure these angles.

°

° °

°

°

°

°

°

TESTER

Which transformation does this picture show?

slide vertically turn 180° fl ip horizontally fl ip verticallyColour one

bubble.

STATIS

TIC

S &

PROBABIL

ITY

Data representation & Interpretation

12 Use the following test scores to complete the table and bar graph.

40, 13, 21, 14, 26, 41, 33, 35, 36, 37, 40

Score Range Frequency

10 — 19 2

20 — 29

30 —

—

10 – 19 40 – 49

Score range

4

3

2

1

Title:

Num

ber

of s

core

s

Name

PAGE 41

NUMBER &

ALGEBRA


1 Write the missing integers.

–2 10 5


3 5

3 –5

–3 5

–3 –5

0 –4

2 –3

3 List all the integers between these numbers.

4 and –3

–2 and 5

4 Write each row in order from least to greatest.

–1, 5, 2, –4, 0, 3

3, 0, –2, 1, – 4, –5

5 Complete the number sentences.

Th H T Ones t h th

6 × 1000 = 6 .6 × 100 = .6 × 10 = .

6 × 1 = .6 × 0.1 = .

6 × 0.01 = .6 × 0.001 = .

6 Write the temperature shown then the new temperature.

New Temperature

°C

Rises 15°C

Temperature

°C

–20

–10

0

10

20

30

New Temperature

°C

Falls 20°C

Temperature

°C

–20

–10

0

10

20

30

New Temperature

°C

Falls 9°C

Temperature

°C

–20

–10

0

10

20

30

New Temperature

°C

Rises 20°C

Temperature

°C

–20

–10

0

10

20

30


7 Complete these.

0.03

×

÷

30

×

50

0.80

× 10

÷

8 0.6

× 1000

÷

÷ 100

Integers are the counting numbers (1, 2, 3, 4...), zero and the negatives of the counting numbers (–1, –2, –3, –4...).

Mental M

aths


11 + 14 = 12 − 9 = 16 − = 4 6 × 10 = × 10 = 720 ÷ 2 = 48

16 + 12 = 13 − 6 = − 8 = 13 10 × 10 = 5 × = 120 ÷ 2 = 36

13 + 9 = 11 − 6 = 32 − = 12 10 × 7 = × 10 = 600 ÷ 2 = 14

14 + 15 = 14 − 6 = − 7 = 28 4 × 10 = 5 × = 250 ÷ 2 = 90

20 + 13 = 15 − 6 = 45 − = 15 10 × 0 = × 5 = 110 ÷ 2 = 26

9

0.75 kg 250 g800 g 0.52 kg1.06 kg 1.09 kg1.2 kg 1100 g

1.515 kg 2.05 kg

682 950910 750

5000 4001760 0.9

conecylinder

34

75

135

95

20

180

85

115

40 49 339 4

2

Test Scores

20-29 30-39

Name

PAGE 43

A polygon is equilateral if all the sides are the same length. A polygon is equiangular if all the angles are the same size.

Mental M

aths


14 + 17 = 22 − = 9 21 − 13 = 3 × 60 = × 3 = 36 404 ÷ 4 =

15 + 16 = − 15 = 20 27 − 11 = 3 × 19 = × 3 = 75 ÷ 4 = 21

13 + 13 = 40 − = 28 24 − 16 = 3 × 31 = × 3 = 60 64 ÷ 4 =

22 + 14 = − 12 = 19 31 − 12 = 3 × 42 = × 3 = 45 ÷ 4 = 32

16 + 16 = 50 − = 17 50 − 15 = 3 × 33 = × 3 = 90 96 ÷ 4 =

NUMBER &

ALGEBRA


1 Complete the missing information for Mt Everest.

Jan Feb Mar April May June

Base Temp. –17°C –17°C –10°C –7°C –4°C

Temp. Change

Falls 19°C

Falls 18°C

Falls 19°C

Falls 18°C

Summit Temp. –32°C –30°C –19°C

July Aug Sept Oct Nov Dec

Base Temp. –3°C –6°C –9°C –15°C

Temp. Change

Falls 15°C

Falls 14°C

Falls 18°C

Falls 19°C

Summit Temp. –18°C –21°C –30°C –34°C

Fractions & DEcimals

2 Write the decimal in each box.

0.59

0.615

0.61

0.605

0.6

0.595

3 Complete these.

0.08 80

×

÷

6.9

× 100

÷

4 Connect each number to the number line. Then round to the nearest whole number.

1.72 0.39 2.06 2.7 1.1

10 2 3

5 Connect each number to the number line. Then round to the nearest tenth.

5.76 7.183 6.09 5.564 7.94

65 7 8

6 Use all these digits. Make these numbers.

4 8 1 7 5 9 3

greatest number • possibleleast number • possibleclosest number • to 5000closest number • to 5500closest number • to 9200

.

.

.

.

.

20

31 13 8 180 12 10131 35 16 57 25 8426 12 8 93 20 1636 31 19 126 15 12832 33 35 99 30

1000

1000 100690

24

91

459

83

941

74

898

55

787

47

575

38

334

19

113

0.5920.594

0.5990.601

0.6070.609

0.6130.617

–13ºC

–4ºC –11ºC

–36ºC

–18ºC

–35ºC –25ºC

–27ºC

Falls20ºC

Falls15ºC

Falls15ºC

Falls19ºC

2 0 2 3 1

7.95.66.17.25.8


STATIS

TIC

S &

PROBABIL

ITY chance

10 Imagine these cards are shuffl ed and placed facedown then a card is randomly selected.

S H O E S

S O C K S

a. Which letters have a 110 chance of being selected?

b. Write a fraction to describe the chance of selecting these.

an S card an O card

an S or an E card

an O or a K card

a card that shows a letter in the 1st half of the alphabet

a card that shows a letter in the 2nd half of the alphabet

MEASUREMENT &

GEOMETRY


7 Convert these masses .

1 kg g 1 tonne kg

1 tonne g 0.75 tonne kg

8 g kg 600 g kg

0.745 kg g 1.3 kg g

14 kg g 2 1

2 kg g

Shape

8 A polygon that is equilateral and equiangular is called a regular polygon. Colour all the regular polygons green.

(Note: There are more shapes above right.)

Geometric Reasoning

9 Use a protractor to draw these angles.

Angle = 55°Arm length = 2.5 cm

Angle = 130°Arm length = 3 cm

TESTER

Imagine these 2 blocks are joined without breaking them apart.

Which of these objects can be made from these 2 blocks?

Colour onebubble.

Name

PAGE 43

A polygon is equilateral if all the sides are the same length. A polygon is equiangular if all the angles are the same size.

Mental M

aths


14 + 17 = 22 − = 9 21 − 13 = 3 × 60 = × 3 = 36 404 ÷ 4 =

15 + 16 = − 15 = 20 27 − 11 = 3 × 19 = × 3 = 75 ÷ 4 = 21

13 + 13 = 40 − = 28 24 − 16 = 3 × 31 = × 3 = 60 64 ÷ 4 =

22 + 14 = − 12 = 19 31 − 12 = 3 × 42 = × 3 = 45 ÷ 4 = 32

16 + 16 = 50 − = 17 50 − 15 = 3 × 33 = × 3 = 90 96 ÷ 4 =

NUMBER &

ALGEBRA


1 Complete the missing information for Mt Everest.

Jan Feb Mar April May June

Base Temp. –17°C –17°C –10°C –7°C –4°C

Temp. Change

Falls 19°C

Falls 18°C

Falls 19°C

Falls 18°C

Summit Temp. –32°C –30°C –19°C

July Aug Sept Oct Nov Dec

Base Temp. –3°C –6°C –9°C –15°C

Temp. Change

Falls 15°C

Falls 14°C

Falls 18°C

Falls 19°C

Summit Temp. –18°C –21°C –30°C –34°C

Fractions & DEcimals

2 Write the decimal in each box.

0.59

0.615

0.61

0.605

0.6

0.595

3 Complete these.

0.08 80

×

÷

6.9

× 100

÷

4 Connect each number to the number line. Then round to the nearest whole number.

1.72 0.39 2.06 2.7 1.1

10 2 3

5 Connect each number to the number line. Then round to the nearest tenth.

5.76 7.183 6.09 5.564 7.94

65 7 8

6 Use all these digits. Make these numbers.

4 8 1 7 5 9 3

greatest number • possibleleast number • possibleclosest number • to 5000closest number • to 5500closest number • to 9200

.

.

.

.

.

20

H, E, C, K

4 2

5 3

4 6

10 10

10 10

10 10

1000 10001 000 000 7500.008 0.6

745 1300250 2500

Name

PAGE 45

2NUMBER &

ALGEBRA


1 a. What is the cost of 2 umbrellas?

2 × $36 = $

b. What is the cost of 20 umbrellas?

2 × $36 × 10 = $

c. What is the cost of 24 umbrellas?

20 × $36 + 4 × $36 = $

d. Write the costs of these.

3 umbrellas × $ = $

30 umbrellas × $ × = $

35 umbrellas × $ + × $ = $



46 umbrellas × $ + × $ = $

2 Check these calculations. If incorrect, show the correct calculation.

3 7× 5 9

3 3 31 8 55 1 8

4 5× 3 6

2 7 01 3 5 01 6 2 0


3 Use a written method to solve these.

2.7 × 1.9 = 6.1 × 3.8 =

4.6 × 7.2 = 5.7 × 4.5 =

Patterns & Algebra

4 Complete these multiplication patterns.

28 × 2 =

28 × 0.2 =

2.8 × 0.2 =

39 × 3 =

39 × 0.3 =

3.9 × 0.3 =

16 × 6 =

16 × 0.6 =

1.6 × 0.6 =

15 × 7 =

15 × 0.7 =

1.5 × 0.7 =

$36

You multiply the length by the width to find the area of an oblong.

Mental M

aths


13 + 17 = 14 − = 6 23 − 6 = 4 × 13 = 4 × = 100 ÷ 5 = 13

16 + 12 = 16 − = 8 28 − 19 = 4 × 27 = × 4 = 48 115 ÷ 5 =

8 + 19 = 12 − = 7 25 − 11 = 4 × 90 = 4 × = 80 ÷ 5 = 22

7 + 16 = 17 − = 8 30 − 8 = 4 × 51 = × 4 = 60 550 ÷ 5 =

3 + 18 = 15 − = 7 22 − 15 = 4 × 14 = 4 × = 200 ÷ 5 = 40

52 25 6517830108 12 239828360 20 11014527204 15 1102292356 50 2007

56

96

117

105

5.6

9.6

11.7

10.5

0.56

0.96

1.7

1.05

5.13

33.12

23.18

25.65

8

3

4

3

4

30

40

10

10

5

6

36

36

36

36

36

36

36

36

108

144

1080

1440

1260

1656

72

720

864

21

37x 59333

18502183


STATIS

TIC

S &

PROBABIL

ITY Data representation & Interpretation

8 One hundred students were surveyed about their favourite recreational activity.

a. Complete the pie chart using this data.

Recreation Activity

Reading Watching TV Sport Music Games

5 25 40 15 15

b. What percentage prefer music or reading?

c. What percentage do not prefer sport?

Title:

MEASUREMENT &

GEOMETRY


5 Estimate the area. Then calculate the exact area.

Estimate = m²

Exact area = m²

7.6 m

4 m

Estimate = m²

Exact area = m²

6.3 m

1.8 m

Estimate = m²

Exact area = m²

2.8 m

6.9 m

6 Write the missing dimensions for these oblongs.

Length = 14 m

Width = 9 m

Area = m²

Length = 18 m

Width = m

Area = 198 m²

Length = m

Width = 13 m

Area = 208 m²

Length = 2.8 m

Width = 1.2 m

Area = m²

Shape

7 Draw a net using the dimensions shown.

TESTER

How much change would you receive if you bought 3 t-shirts and paid with a $100 note?

$55.50 $81.50$54.50 $44.50

Colour onebubble.

$18.50

10 mm

15 mm

25 mm

Name

PAGE 45

2

NUMBER &

ALGEBRA


1 a. What is the cost of 2 umbrellas?

2 × $36 = $

b. What is the cost of 20 umbrellas?

2 × $36 × 10 = $

c. What is the cost of 24 umbrellas?

20 × $36 + 4 × $36 = $

d. Write the costs of these.



35 umbrellas × $ + × $ = $



46 umbrellas × $ + × $ = $

2 Check these calculations. If incorrect, show the correct calculation.

3 7× 5 9

3 3 31 8 55 1 8

4 5× 3 6

2 7 01 3 5 01 6 2 0



2.7 × 1.9 = 6.1 × 3.8 =

4.6 × 7.2 = 5.7 × 4.5 =

Patterns & Algebra

4 Complete these multiplication patterns.

28 × 2 =

28 × 0.2 =

2.8 × 0.2 =

39 × 3 =

39 × 0.3 =

3.9 × 0.3 =

16 × 6 =

16 × 0.6 =

1.6 × 0.6 =

15 × 7 =

15 × 0.7 =

1.5 × 0.7 =

$36

You multiply the length by the width to find the area of an oblong.

Mental M

aths


13 + 17 = 14 − = 6 23 − 6 = 4 × 13 = 4 × = 100 ÷ 5 = 13

16 + 12 = 16 − = 8 28 − 19 = 4 × 27 = × 4 = 48 115 ÷ 5 =

8 + 19 = 12 − = 7 25 − 11 = 4 × 90 = 4 × = 80 ÷ 5 = 22

7 + 16 = 17 − = 8 30 − 8 = 4 × 51 = × 4 = 60 550 ÷ 5 =

3 + 18 = 15 − = 7 22 − 15 = 4 × 14 = 4 × = 200 ÷ 5 = 40

Answers will vary. This is one example.

30

30.4

12

11.34

21

19.32

126

16

11

3.36

Our Favourite Recreational Activity

SportWatching TV

MusicGamesReading

20

60

Name

PAGE 47

NUMBER &

ALGEBRA



47 × 53 = 3.9 × 18 =

5.3 × 6.2 = 94 × 56 =


2 Mark the estimate with a or to show if it makes sense. Use a written method to work out the exact answer.

6.3 × 14

Estimate 8.82

3.2 × 4.5

Estimate 150

3 a. Look at this caravan floor plan. Calculate these areas.

Bedroom

Kitchen/Dining

Ba

thro

om

2.9 m 2.4 m 1.3 m

2.4

m

Bedroom Kitchen/Dining

m² m²

Bathroom Full caravan

m² m²

b. A roll-out annex is the length of the bedroom and kitchen/dining rooms together and is 2.8 m wide. What is the area under the annex?

m²

You can use a vertical written method to multiply “messy” numbers but you must remember to line up the places of the numbers you are multiplying.

Mental M

aths


17 + 17 = 18 − = 12 20 − 17 = 5 × 21 = 13 × 8 = ÷ 5 = 12

19 + 21 = 15 − = 9 26 − 18 = 33 × 5 = 21 × 8 = ÷ 5 = 20

15 + 18 = − 14 = 5 27 − 13 = 5 × 16 = 15 × 8 = ÷ 5 = 11

18 + 18 = − 16 = 9 30 − 11 = 49 × 5 = 33 × 8 = ÷ 5 = 15

25 + 16 = 23 − = 14 40 − 13 = 5 × 12 = 46 × 8 = ÷ 5 = 25

22

60104105363410016816586405512090141933752642451925361253686027

2491

32.86

70.2

5264

6.96

3.12

5.76

15.84

2.9 x 2.4

1.3 x 2.4

2.4 x 2.4

6.6 x 2.4

941

2.9 + 2.4 = 5.35.3 x 2.8

14.8488.214.4


STATIS

TIC

S &

PROBABIL

ITY

Data representation & Interpretation

7 This tally chart shows the number of hoops scored by a group of basketball players at practice.

a. Write the totals in the table.

Number of hoops Tally Total

6

7

8

9

10

11

b. Complete this dot plot to show the data.

Title:

MEASUREMENT &

GEOMETRY


4 Calculate the shaded area.

Area = m²7 m 8 m5 m

5 m

7 m2 m

Area = m²16 m18 m

10 m

8 m

5 Calculate the surface area of each prism. Write number sentences to show your thinking.

Surface area = cm²4 cm

9 cm

6 cm

Surface area = cm²5 cm

15 cm

7 cm

Geometric Reasoning

A D

C

EF

B6

These lines split 360° into 6 equal parts. Calculate each angle without a protractor.

Angle AOB = Angle AOC =

Angle COF = Angle DOB =

Angle EOD = Angle FOB =

TESTER

What percentage of this grid is shaded?

15% 5%85% 25%Colour one

bubble.

Name

PAGE 47

NUMBER &

ALGEBRA



47 × 53 = 3.9 × 18 =

5.3 × 6.2 = 94 × 56 =


2 Mark the estimate with a or to show if it makes sense. Use a written method to work out the exact answer.

6.3 × 14

Estimate 8.82

3.2 × 4.5

Estimate 150

3 a. Look at this caravan floor plan. Calculate these areas.

Bedroom

Kitchen/Dining

Ba

thro

om

2.9 m 2.4 m 1.3 m

2.4

m

Bedroom Kitchen/Dining

m² m²

Bathroom Full caravan

m² m²

b. A roll-out annex is the length of the bedroom and kitchen/dining rooms together and is 2.8 m wide. What is the area under the annex?

m²

You can use a vertical written method to multiply “messy” numbers but you must remember to line up the places of the numbers you are multiplying.

Mental M

aths


17 + 17 = 18 − = 12 20 − 17 = 5 × 21 = 13 × 8 = ÷ 5 = 12

19 + 21 = 15 − = 9 26 − 18 = 33 × 5 = 21 × 8 = ÷ 5 = 20

15 + 18 = − 14 = 5 27 − 13 = 5 × 16 = 15 × 8 = ÷ 5 = 11

18 + 18 = − 16 = 9 30 − 11 = 49 × 5 = 33 × 8 = ÷ 5 = 15

25 + 16 = 23 − = 14 40 − 13 = 5 × 12 = 46 × 8 = ÷ 5 = 25

22

135

432

228

430

60° 120°180° 240°300° 120°

6

3104601

7 8 9 10 11Hoops scored at practice

Name

PAGE 49You multiply the length by the width by the height to find the volume of a prism.

NUMBER &

ALGEBRA


1 Complete the table.

Common Fraction Hundredths Decimal %

1 4

100 . %

5

20 100 . %

100 0.75 %

. 40 %

4 5 . %

60 100 . %

0.50 %

4 4 . %

2 One hundred boys and one hundred girls were surveyed about their favourite subject.

Boys

Maths 35

English 15%

Art

100

Science 25%

Music 0.1

Girls

Maths 30

English 0.3

Art20 100

Science 0.

Music 5%

a. Write the missing score in each table.

b. What percentage of boys favoured Music?

c. What percentage of girls favoured English?

d. Write the percentage of boys who favoured Science as a common and decimal fraction.

e. What 2 subjects together were favoured by more than 50% of girls?

and


3 Look at these camp prices.

Camp Costs

Bus (each) $25.00 High ropes $9.25

Cabin (per night) $19.99 Canoes $4.95

Rock climbing $8.90 Food (per day) $17.85

Archery $6.50 Flying fox $2.35

Work out these costs.

a. The bus + 10 nights in a cabin + food for 10 days

1 student $ 20 students $

b. All 5 activities


%

.=

%

Mental M

aths


8 + 17 = 12 − = 3 30 − 13 = 10 × 0.4 = 9 × 8 = ÷ 9 = 100

16 + 11 = − 7 = 11 25 − 16 = 10 × 0.01 = 9 × 10 = ÷ 9 = 50

16 + 19 = 20 − = 5 40 − 15 = 10 × 0.16 = 9 × 3 = ÷ 9 = 11

18 + 5 = − 5 = 18 27 − 9 = 10 × 0.91 = 9 × 7 = ÷ 9 = 20

5 + 14 = 21 − = 7 50 − 35 = 10 × 0.72 = 9 × 4 = ÷ 9 = 12

23

90072417925450900.19182799271.6251535180639.1182323108367.215

403.40

31.95

8068

639

14

30

25100 0 25

Maths English

15

15

10

25

1

3

1

2

3

4

2

5

5

75

50

40

80

100

100

100

100

100

0 25

0 20

0 40

0 60

0 80

1 0

25

20

75

50

60

80

100

19


MEASUREMENT &

GEOMETRY


4 Draw a line to the position on the number line.

1 m0 m 2 m

1.7 m 150 mm 127 cm

5 Use this prism to complete the table.

4 m

15 mm

12 cm

Length Width Height Volume

mm mm mm mm²

cm cm cm cm²

6 Complete each table to show equivalent lengths.

2 km

m

cm

mm

km

3650 m

cm

mm

km

m

95 000 cm

mm

km

m

cm

4 800 000 mm

Location & Transformation

7 a. Draw the letter after each move.

STA

RT

Flip right Flip right Slide down

FIN

ISH

Slide left Flip left

b. Write 2 instructions so that the letter returns to its starting position.

Geometric Reasoning

8 Use a protractor to measure and label the interior angles.

TESTER The swimming and cycling parts of a junior triathlon used 3

4 of the total time allowed.

What fraction of the time is left for the run?

STATIS

TIC

S &

PROBABIL

ITY Data representation & Interpretation

9 This table shows the gain in length each week for a baby fi sh.

Week Birth Length (mm) Gain (mm)

Birth 7 —

1 11 4

2 17

3 25

4 30

a. Did the fi sh gain the same length each week?

b. What was the least recorded gain?

c. What was the greatest recorded gain?

d. What was the total gain over the 4 weeks?

e. Estimate its length after Week 5.

Write your answer in the box.

Name

PAGE 49You multiply the length by the width by the height to find the volume of a prism.

NUMBER &

ALGEBRA


1 Complete the table.

Common Fraction Hundredths Decimal %

1 4

100 . %

5

20 100 . %

100 0.75 %

. 40 %

4 5 . %

60 100 . %

0.50 %

4 4 . %

2 One hundred boys and one hundred girls were surveyed about their favourite subject.

Boys

Maths 35

English 15%

Art

100

Science 25%

Music 0.1

Girls

Maths 30

English 0.3

Art20 100

Science 0.

Music 5%

a. Write the missing score in each table.

b. What percentage of boys favoured Music?

c. What percentage of girls favoured English?

d. Write the percentage of boys who favoured Science as a common and decimal fraction.

e. What 2 subjects together were favoured by more than 50% of girls?

and


3 Look at these camp prices.

Camp Costs

Bus (each) $25.00 High ropes $9.25

Cabin (per night) $19.99 Canoes $4.95

Rock climbing $8.90 Food (per day) $17.85

Archery $6.50 Flying fox $2.35

Work out these costs.

a. The bus + 10 nights in a cabin + food for 10 days


b. All 5 activities


%

.=

%

Mental M

aths


8 + 17 = 12 − = 3 30 − 13 = 10 × 0.4 = 9 × 8 = ÷ 9 = 100

16 + 11 = − 7 = 11 25 − 16 = 10 × 0.01 = 9 × 10 = ÷ 9 = 50

16 + 19 = 20 − = 5 40 − 15 = 10 × 0.16 = 9 × 3 = ÷ 9 = 11

18 + 5 = − 5 = 18 27 − 9 = 10 × 0.91 = 9 × 7 = ÷ 9 = 20

5 + 14 = 21 − = 7 50 − 35 = 10 × 0.72 = 9 × 4 = ÷ 9 = 12

23Answers will vary. This is one example.

4000 120 15 7 200 000

400 12 1.5 7200

2000

0.95 4.8

3.65

200 000

950 4800

365 0002 000 000

950 000480 000

3 650 000

14

45°

75°

67°

72°

223°238°

685

No

4 mm

8 mm

23 mm

28 mm

Slide upFlip right

Name

PAGE 51

24NUMBER &

ALGEBRA

Number & Place value

1 Complete these.

3 8× 4 4

5 7× 2 4

6 9× 3 7


2 Write the equivalent amounts.

3 4

100 %= =

3 5

100 %= =

4 10

100 %= =

1 5

100 %= =

3 Work out the number of each car colour in these car parks. Then write the total.

Train Station Car Park Total

Red Silver Black White Blue Yellow

15% 10% 15% 35% 20% 5%

10

Shopping Centre Car Park Total


10% 15% 10% 40% 15% 10%

100

4 Each grid represents one whole. Shade each fraction then complete the missing amounts.

. %

100

Shade

13 4

. %

100

Shade

12 5


5 Show the percentage of each amount.

$48.00 $105.00 $9.40 $1.70

10%

$80.00 $100.00 $12.60 $5.20

25%

$60.00 $48.00 $12.40 $1.60

75%

A parallelogram is a quadrilateral that has exactly 2 pairs of parallel sides.

Mental M

aths


16 + 17 = 15 − = 7 20 − 8 = 6.1 × 10 = 42 ÷ 2 = 39 ÷ 3 =

8 + 18 = 16 − = 3 17 − 11 = 4.3 × 10 = 26 ÷ 2 = 69 ÷ 3 =

25 + 8 = − 16 = 4 23 − 7 = 0.7 × 10 = 48 ÷ 2 = 48 ÷ 3 =

23 + 27 = 21 − = 13 25 − 16 = 1.9 × 10 = 64 ÷ 2 = 21 ÷ 3 =

14 + 26 = − 15 = 14 30 − 12 = 0.06 × 10 = 70 ÷ 2 = 45 ÷ 3 =

13216112833231343613261624716203373219985015350.618

30

100 400

20

150 150 100

30 70 40

200

1000

$4.80

$20

$45

$10.50

$25

$36

94c

$3.15

$9.30

17c

$1.30

$1.20

75 60

40

75 60

40 20 20

2940

15215201672

2281140

1368

48320702553

175

140

1 75

1 4

175

140


STATIS

TIC

S &

PROBABIL

ITY

chance

10 Play this probability game at home.

Rules:

a. Place 10 counters (or buttons) on numbers on the game board, up to 3 counters on any number.

b. Roll 2 regular dice and get the total.

c. Remove 1 counter if it is on that total.

d. Continue rolling until all counters are removed.

If playing against an opponent, draw another game board. The winner is the fi rst to remove all their counters.

e. What did you discover about this game?

1 2 3 4

5 6 7 8

9 10 11 12

Game board

MEASUREMENT &

GEOMETRY


6 Change to the same units. Then add to fi nd the total.

0.36 m 8 cm 510 mm

Total =

1.7 m 58 cm 3525 mm

Total =

7 Calculate the surface area of these prisms.

8 The distances on the map are shown in kilometres.

TiptonMowly

Haye

Greenwood

Millwood

Bell221

189

175

142

264

450

125124

276

a. What is the shortest route from Haye Tipton?

b. How many kilometres is that route? km

Shape

9 Colour the parallelograms.

TESTER Which 2 operations will make this number sentence true?

6 12 = 144 2

Write your answers in the boxes.

2 cm

6 cm

3 cm

7 cm

4 cm

2.5 cm

cm² cm²

Name

PAGE 51

24

NUMBER &

ALGEBRA

Number & Place value

1 Complete these.

3 8× 4 4

5 7× 2 4

6 9× 3 7


2 Write the equivalent amounts.

3 4

100 %= =

3 5

100 %= =

4 10

100 %= =

1 5

100 %= =

3 Work out the number of each car colour in these car parks. Then write the total.

Train Station Car Park Total


15% 10% 15% 35% 20% 5%

10

Shopping Centre Car Park Total


10% 15% 10% 40% 15% 10%

100

4 Each grid represents one whole. Shade each fraction then complete the missing amounts.

. %

100

Shade

13 4

. %

100

Shade

12 5



$48.00 $105.00 $9.40 $1.70

10%

$80.00 $100.00 $12.60 $5.20

25%

$60.00 $48.00 $12.40 $1.60

75%

A parallelogram is a quadrilateral that has exactly 2 pairs of parallel sides.

Mental M

aths


16 + 17 = 15 − = 7 20 − 8 = 6.1 × 10 = 42 ÷ 2 = 39 ÷ 3 =

8 + 18 = 16 − = 3 17 − 11 = 4.3 × 10 = 26 ÷ 2 = 69 ÷ 3 =

25 + 8 = − 16 = 4 23 − 7 = 0.7 × 10 = 48 ÷ 2 = 48 ÷ 3 =

23 + 27 = 21 − = 13 25 − 16 = 1.9 × 10 = 64 ÷ 2 = 21 ÷ 3 =

14 + 26 = − 15 = 14 30 − 12 = 0.06 × 10 = 70 ÷ 2 = 45 ÷ 3 =


580.5 cm

95 cmHaye Millwood Bell Tipton

488

72 111

x ÷

Name

PAGE 53

REVIEW 3

NUMBER &

ALGEBRA



-3 8 -5 4 -5 -7

2 -4 -2 1 0 -1

2 Write the temperature shown on each thermometer. Then calculate the difference.

30

20

10

-10

0

30

20

10

-10

0

Min. Max.

Difference

°C

°C°C

30

20

10

-10

0

Min. Max.

Difference

°C

°C°C

30

20

10

-10

0

Min. Max.

Difference

°C

°C°C

30

20

10

-10

0

30

20

10

-10

0

3 Break each number into parts to divide.

÷ 4 =760

+

÷ 4 =520

+

4 Use factors to divide these.

÷ 30

÷ ÷

420

÷ 28

÷ ÷

700


2 6× 3 4

4 3× 5 7

6 5× 4 9


6 Write the missing parts that match.

4 5

100 %= =

4 10

100 %= =1

7 Match each decimal to the number line. Then write the closest whole number.

3.06

2.68

2.8

4.03

4.48

3.72

2 3 4 5


8 Break each amount into parts then answer.

÷ 8 =

+

$92.80÷ 4 =

+

$39.20


25%$80.00 $48.00 $24.80 $52.60 $5.20

10 Express the answer in the most appropriate way.

$

5 people equally share $496. How much does each get?

Patterns & algebra

11 Write the missing IN and OUT numbers.

×100

3.6

12.7

25

8.4÷10

46

4.56

3.9

35.7

IN INOUT OUT


80 14080 140

–2 –7–1213 237

15 3019

400 400360 120

190 130

42 10010 73 4

14 25

0.25

360 4.6

0.39

1270 45.6

3570.084

99.20

$20 $12 $6.20$13.15$1.30

$9.80 $11.60

$36 $80$3.20 $12.80

< < >> < >

104780884

30121502451

58526003185

3

3

4

3

4

4

STATIS

TIC

S &

PROBABIL

ITY

Chance

19 Imagine you roll 2 regular dice and add the numbers. Use scrap paper to work out the likelihood of rolling each total.

1

2

3

4

5

6

7

8

9

10

11

12

Data representation & interpretation

20 Each represents 1 student.

1 2 3 4 5 6 7 8

Number of Books Read in Book Week

a. How many students read at least 2 books?

b. How many students read 4 or more books?

c. How many students participated?

MEASUREMENT &

GEOMETRY

Using Units of Measurement

12 Round the dimensions to estimate the area. Then calculate the exact area.

9 m

3.7 m

8.2 m

5.1 m

Estimate = m²

Exact area = m²

Estimate = m²

Exact area = m²

13 Calculate these areas.

4 m

4 m

20 m

12 m5

m7 m

8 m

12 m

6 m

9 m5 m

m² m²

14 Calculate the surface area of each prism.

9 cm

4 cm

6 cm 9.1 cm

5 cm

3 cm

cm² cm²

15 Convert to the same unit of measurement. Then calculate the total.

Total =

4 m

265 cm

159 mm

Total =

2.5 m

158 cm

106 mm

Shape

16 Draw a net using the dimensions shown.

Location & Transformation

17 a. Plot these points on the grid.

A (3,1) B (5,1) C (7,3) D (5,5)E (3,5) F (1,3)

b. Connect the points in this order from A to F.

c. What shape have you drawn?

Geometric reasoning

18 Use a ruler and a protractor to draw a regular hexagon.

54321

0 1 2 3 4 5 6 7 8

5 mm5 mm

5 mm20 mm

Name

PAGE 53

REVIEW 3

NUMBER &

ALGEBRA



-3 8 -5 4 -5 -7

2 -4 -2 1 0 -1

2 Write the temperature shown on each thermometer. Then calculate the difference.

30

20

10

-10

0

30

20

10

-10

0

Min. Max.

Difference

°C

°C°C

30

20

10

-10

0

Min. Max.

Difference

°C

°C°C

30

20

10

-10

0

Min. Max.

Difference

°C

°C°C

30

20

10

-10

0

30

20

10

-10

0

3 Break each number into parts to divide.

÷ 4 =760

+

÷ 4 =520

+

4 Use factors to divide these.

÷ 30

÷ ÷

420

÷ 28

÷ ÷

700


2 6× 3 4

4 3× 5 7

6 5× 4 9


6 Write the missing parts that match.

4 5

100 %= =

4 10

100 %= =1

7 Match each decimal to the number line. Then write the closest whole number.

3.06

2.68

2.8

4.03

4.48

3.72

2 3 4 5


8 Break each amount into parts then answer.

÷ 8 =

+

$92.80÷ 4 =

+

$39.20


25%$80.00 $48.00 $24.80 $52.60 $5.20

10 Express the answer in the most appropriate way.

$

5 people equally share $496. How much does each get?

Patterns & algebra

11 Write the missing IN and OUT numbers.

×100

3.6

12.7

25

8.4÷10

46

4.56

3.9

35.7

IN INOUT OUT


400 cm265 cm15.9 cm

250 cm158 cm10.6 cm

680.9 cm 418.6 cm

0

4

4

1

5

3

2

6

2

3

5

1

0

36

36

36

36

36

36

36

36

36

36

36

1310

15

3633.3

4041.82

112

228

125

175.6

hexagon

A B

C

DE

F

Name€¦ · 20 10 13 80 20 30 24 2 19 30 12 48 30 8 8 10 50 32 26 4 24 50 25 200 11 40 6.49 10.54...

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Transcript of Name€¦ · 20 10 13 80 20 30 24 2 19 30 12 48 30 8 8 10 50 32 26 4 24 50 25 200 11 40 6.49 10.54...