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Year Last name First name Student name 7 Numeracy Practice Test B Band 4 2009

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Page 1: NumeracyQuestionsB_Yr7Band4

Numeracy Test

Year

Unique Pupil No.

Last name

First name

Student name

School or HomelandCentre name

Teacher use only

Shade one bubble to indicate the band this student is working at

KGP3 & below Band 1 Band 2 Band 3 Band 4

P L A C E S A M SL A B E L O V E R

T H I S B O XDate of birth

Day

D D M MMonth

1 9 Y YYear

USE 2B OR HB ONLY

KGP3 Band 1 Band 2 Band 3 Band 4Bands administered

Shade two bubbles to indicate the 2 consecutive bands this studentwas directed to attempt

Shade the appropriate bubble to indicate if this student was Exempt, Absent or withdrawn by parents. Booklets withcompleted cover information for these students MUST be returned for processing. Strict criteria apply to all Exemptions.Refer to MAP Administration Guidelines.

Student absenceNumeracy Exempt

Parentwithdrawal

School AssessedMathematics Band

7 Numeracy Practice Test B

Band 4

2009

Page 2: NumeracyQuestionsB_Yr7Band4

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ND

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49© MAP 2007

BAND 4 STARTS HERE

111

112

Here are the ingredients needed to make 16 ANZAC biscuits.

How much sugar is needed to make 12 biscuits?(i)

50 g40 g30 g20 g

Ingredients

1½ cups rolled oats

3 cups wholemeal flour

1 cup coconut

40 g brown sugar

1 pinch of salt

250mL water

Makes 16 biscuitsHEALTHY ANZAC BISCUITS

How many biscuits can be made using 4 12 cups of

wholemeal fl our?

(ii)

3224208

This spinner has fi ve equal sections that are numbered 1, 2, 3, 4 and 5.

What is the chance of getting an odd number with one spin?

15

13

12

35

1

43

25

10M

10M

10M

Page 3: NumeracyQuestionsB_Yr7Band4

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50 © MAP 2007

113

114

115

Danielle made a cube using this net.

Danielle rolls her cube once.What is the probability of her rolling a ‘1’ uppermost on her cube?

12

13

14

16

2 1 2 12

3

Which temperature is between – 2˚ C and – 3˚ C?

– 3.01˚ C– 2.91˚ C– 1.78˚ C– 0.28˚ C

Troy designed this square fl ag.

What is the size of the angle labelled a?

75 ̊51 ̊36 ̊15 ̊

54°

75°

Shade onebubble.

10M

10M

10M

Page 4: NumeracyQuestionsB_Yr7Band4

BA

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51© MAP 2007

116

117

This graph shows the relationship between kilometres (k)travelled and petrol (p) in the tank of a taxi.

Pet

rol i

n ta

nk in

litr

es (p)

60

50

40

30

20

10

50 100 150 200 250 300

Kilometres travelled (k)

Petrol in tank against kilometres travelled

TAXI

How many litres of petrol is in the tank after the taxitravels 100 km?

40302010

(i)

How many kilometres can the taxi travel on 20 litres of petrol?

2001005020

(ii)

105 km/hr100 km/hr95 km/hr90 km/hr

A train travelled for twelve hours and covered a distance of 1150 km.The train’s average speed was closest to:

10M

10M

10M

Page 5: NumeracyQuestionsB_Yr7Band4

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52 © MAP 2007

118

119

Tammy made this table showing the total rainfall in Alice Springs over several months.

What was the average rainfall for the fi rst four months?(i)

30 mm26 mm25 mm10 mm

Jan

35

Feb

40

Mar

35

Apr

10

May

?

Alice Springs rainfall (mm)

What was the rainfall for May, if the average forthe fi ve months was 26 mm?

(ii)

30 mm26 mm25 mm10 mm

All pizzas cost $7.50 plus $5.50 delivery fee at Paesano Pizza.This table shows the cost c, of having p pizzas delivered.

Number of pizzas (p) 1

Total cost (c) $13.00

2

$20.50

3

$28.00

4

$35.50

5

$43.00

6

?

What is the total cost of having 6 pizzas delivered?

$78.00$56.00$50.50$48.50

Shade onebubble.

10M

10M

10M

Page 6: NumeracyQuestionsB_Yr7Band4

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53© MAP 2007

120 This graph shows how much water is used by two different types of shower roses.

Wat

er u

sed

(lit

res)

90

100

70

50

30

80

60

40

20

10

1 2 3Time (minutes)

4 5 6

Water usage for two types of shower roses

Standard

AAA rated

How many litres of water per minute does the standard shower rose use?

9050158

(i)

Which line, labelled d, represents the difference in waterused for a fi ve minute shower?

(ii)

Wat

er u

sed

(lit

res)

90

100

70

50

30

80

60

40

20

10

1 2 3

Time (minutes)

Standard

AAA rated

4 5 6

Standard

AAA rated

Wat

er u

sed

(lit

res)

90

100

70

50

30

80

60

40

20

10

1 2 3

Time (minutes)4 5 6

d

d

Standard

AAA rated

Standard

AAA rated

Wat

er u

sed

(lit

res)

90

100

70

50

30

80

60

40

20

10

1 2 3

Time (minutes)4 5 6

Wat

er u

sed

(lit

res)

90

100

70

50

30

80

60

40

20

10

1 2 3

Time (minutes)4 5 6

d

d

10M

10M

Page 7: NumeracyQuestionsB_Yr7Band4

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54 © MAP 2007

121

122

(i)

How much money does the car wash earn from washing 5 cars, 4 bikes and 2 utes?

(ii)

This table shows types of vehicles and money earnedwashing them by a car wash over four weeks.

Week 1Vehicle type

Money earned

cars

bikes

utes

$4.50

$3.50

$5.00

4

2

1

$30.00

Week 2

3

2

1

$25.50

Week 3

6

1

2

$40.50

Week 4

A

2

3

$44.50

What is the value of A in the table?

6543

$

Shade onebubble.

Write the answerin the box.

The dimensions of a truck’s container are shown in this picture.

What is the capacity of the container?

330.0 m333.0 m315.0 m310.7 m3

2.2m

2.5m

6.0m

FurnitureShade one

bubble.

10M

10M

10M

Page 8: NumeracyQuestionsB_Yr7Band4

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55© MAP 2007

123

124

Which t-shirt now costs 25 % less than it was?

Was $10

NOW $8

Was$8

NOW$6

Was $6

NOW $4

Was$12

NOW$10

Look at this graph.

Tasmanian Wetlands

Alligator Rivers region, NT

Lower Clarence, NSW

Canning River, WA

Tweed Shire, NSW

Lower Macleay, NSW

Botany Wetlands, NSW

0 20 40 60 80 100Percentage

Proportion of plant species in some wetlands

Native species Introduced species

Which wetland has approximately 25 introduced species?

Tweed Shire, NSW

Lower Macleay, NSW

Botany Wetlands, NSW

Canning River, WA

10M

10M

Page 9: NumeracyQuestionsB_Yr7Band4

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56 © MAP 2007

125

126

What is the area of this shape in square units?

38252119

KEY

1 square unit

Look at this rule.

P = 4T + 2

The value of P when T = 6 is:(i)

4826128

What is the value of T when P = 6?(ii)

Shade onebubble.

Write the answerin the box.

10M

10M

10M

Page 10: NumeracyQuestionsB_Yr7Band4

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57© MAP 2007

127

128

This stem plot shows the number of kicks for each player in a football team.

What is the range of this data?(i)

363493

0123

2105

4356

547

649

95 6 9

KEY: 2I1 = 21 kicks

What is the mode of this data?(ii)

14541

The line segments that make up this pattern are all the same length.

What are the values of the angles marked a and b?

60 ° and 90 °30 ° and 60 °45 ° and 90 °30 ° and 45 °

a

b

Shade onebubble.

10M

10M

10M

Page 11: NumeracyQuestionsB_Yr7Band4

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58 © MAP 2007

BAND 4 ENDS HERE

129

130

Zac’s tent is 2.2 m wide and 3.8 m long.Zac has a camp bed that is 85 cm wide and 180 cm long.

Zac put his camp bed on the tent fl oor.What area of fl oor space is not covered by the camp bed?

(i)

8.36 m28.21 m26.83 m23.35 m2

2.2m

3.8m

How many camp beds this size can fi t on the tent fl oor without overlapping?

(ii)

6543

Here are the fi rst three shapes in a pattern made from matchsticks.

How many matchsticks are needed to make the 12th shapein this pattern?

matchsticks

Shape 1 Shape 2 Shape 3

Shade onebubble.

Write the answerin the box.

10M

10M

10M