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...
TRANSCRIPT
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
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 =
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
Number & Place Value
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
Addition & Subtraction Multiplication & division
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
PARENT/CARER SIGNATURE PAGE 40
MEASUREMENT &
GEOMETRY
using units of measurement
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
Number & Place Value
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
Addition & Subtraction Multiplication & division
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
Number & Place Value
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
Fractions & Decimals
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
Addition & Subtraction Multiplication & division
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
< > <> > >
PARENT/CARER SIGNATURE PAGE 42
MEASUREMENT &
GEOMETRY
using units of measurement
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
Number & Place Value
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
Fractions & Decimals
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
Addition & Subtraction Multiplication & division
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
Addition & Subtraction Multiplication & division
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
Number & Place Value
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
PARENT/CARER SIGNATURE PAGE 44
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
using units of measurement
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
Addition & Subtraction Multiplication & division
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
Number & Place Value
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
Number & Place Value
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 × $ + × $ = $
4 umbrellas × $ = $
40 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
Fractions & Decimals
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
Addition & Subtraction Multiplication & division
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
PARENT/CARER SIGNATURE PAGE 46
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
using units of measurement
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
Number & Place Value
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 × $ + × $ = $
4 umbrellas × $ = $
40 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
Fractions & Decimals
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
Addition & Subtraction Multiplication & division
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
Number & Place Value
1 Use a written method to solve these.
47 × 53 = 3.9 × 18 =
5.3 × 6.2 = 94 × 56 =
Fractions & Decimals
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
Addition & Subtraction Multiplication & division
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
PARENT/CARER SIGNATURE PAGE 48
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
using units of measurement
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
Number & Place Value
1 Use a written method to solve these.
47 × 53 = 3.9 × 18 =
5.3 × 6.2 = 94 × 56 =
Fractions & Decimals
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
Addition & Subtraction Multiplication & division
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
Fractions & Decimals
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
Money & Financial Mathematics
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
1 student $ 20 students $
%
.=
%
Mental M
aths
Addition & Subtraction Multiplication & division
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
PARENT/CARER SIGNATURE PAGE 50
MEASUREMENT &
GEOMETRY
using units of measurement
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
Fractions & Decimals
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
Money & Financial Mathematics
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
1 student $ 20 students $
%
.=
%
Mental M
aths
Addition & Subtraction Multiplication & division
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
Fractions & Decimals
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
Red Silver Black White Blue Yellow
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
Money & Financial Mathematics
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
Addition & Subtraction Multiplication & division
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
PARENT/CARER SIGNATURE PAGE 52
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
using units of measurement
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
Fractions & Decimals
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
Red Silver Black White Blue Yellow
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
Money & Financial Mathematics
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
Addition & Subtraction Multiplication & division
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 =
Answers will vary. This is one example.
580.5 cm
95 cmHaye Millwood Bell Tipton
488
72 111
x ÷
Name
PAGE 53
REVIEW 3
NUMBER &
ALGEBRA
Number & Place Value
1 Write > or < to show true comparisons.
-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
5 Use a written method to solve these.
2 6× 3 4
4 3× 5 7
6 5× 4 9
Fractions & Decimals
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
Money & Financial Mathematics
8 Break each amount into parts then answer.
÷ 8 =
+
$92.80÷ 4 =
+
$39.20
9 Show the percentage of each amount.
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
Answers will vary. This is one example.
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
PAGE 54
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
Number & Place Value
1 Write > or < to show true comparisons.
-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
5 Use a written method to solve these.
2 6× 3 4
4 3× 5 7
6 5× 4 9
Fractions & Decimals
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
Money & Financial Mathematics
8 Break each amount into parts then answer.
÷ 8 =
+
$92.80÷ 4 =
+
$39.20
9 Show the percentage of each amount.
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
Answers will vary. This is one example.
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