numeracy 9melbabastow.weebly.com/uploads/9/8/9/4/9894393/yr9p_cn2013.pdf · there are 6 cubes in...

9year

2013

Use 2B or HB pencil only

© Australian Curriculum, Assessment and Reporting Authority, 2013

0:40 Time available for students to complete test: 40 minutes

SeSSION 1

NUMERACY CAlCUlAtoR AlloWED

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You must do your own work and follow all directions given to you by the teacher.Do not speak to other students and raise your hand if you need to speak to the teacher.All questions must be answered using a 2B or HB pencil. If you need to change an answer, carefully erase it and write another answer.To confirm you have the correct test book, print your name in the boxes below when instructed.

1.2.3. 4.5.

tESt INStRUCtIoNS

FIRST NAME LAST NAME

1One lap of a park is 3.52 kilometres.

How many kilometres is 16 laps?

4.55 18.52 22 48.52 56.32

2The scale of this map is 1 cm = 300 km.

Brisbane

Carnarvon

WA NT

QLD

SA

VIC

TAS

ACT

NSW

SA NSW

65432107 8

13121110914 15

cm

What is the approximate direct distance from Brisbane to Carnarvon?

1300 km 2300 km 3000 km 3900 km

3 1.5 × ? = 0.6

What value of ? makes this number sentence correct?

0.4 –0.9 0.9 2.5

2

© ACARA 2013

YEAR 9 NUMERACY (CALCULATOR ALLOWED)

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4This table shows how many people attended three football games.

Number of People Attending

Friday night game 53 403

Saturday game 41 470

Sunday game 62 845

To the nearest thousand, what was the total number of people attending the three games?

156 000 157 000 158 000 160 000

5There are 6 cubes in this 3D puzzle.

The puzzle is completely dipped into red paint.

When the cubes are separated, how many faces will be red?

36 31 30 26 10

6One year ago Jay was 140 cm tall.

He is 5% taller now than he was then.

How tall is Jay now?

133 cm 145 cm 147 cm 210 cm

3

© ACARA 2013


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7Jade buys a smartpad online that costs $319.

With its packaging, it weighs 1.6 kg.

Postage costs are shown in the table below.

Total mass of package

Up to 500 g

500 g to less than

1 kg

1 kg to less than 1.25 kg

1.25 kg to less than

1.5 kg

1.5 kg to less than 1.75 kg

1.75 kg to less than

2 kg

Postage cost

$23 $36.50 $43.25 $50 $56.75 $63.50

In total, how much does Jade pay for her smartpad and postage?

$342 $362.25 $375.75 $382.50

8 This hexagon is constructed on a grid of six rectangles. Each rectangle measures 6 cm x 4 cm.

What is the area of the hexagon?

60 cm2 72 cm2 96 cm2 144 cm2

9

1.0 1.5 2.0 2.5 3.0 3.5

A B C D

Which arrows show the approximate locations of 2√ and π on the number line?

A and C A and D B and D B and C

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© ACARA 2013


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104.5 million taxpayers

gave to charitiesin 2008.

Average donation was $523 per taxpayer.

What was the total amount given to charities by these taxpayers in 2008?

$2 353 500 $8 604 200 $2 353 500 000 $8 604 200 000

11This is the floor plan of a room.

What is the sum of the six marked interior angles?

540° 630° 720° 810°

12There are 61 guests at a party.

There are 17 more men than women.

How many women are at the party?

21 22 39 44

5

© ACARA 2013


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13Tim earned $300 in 5 days.

After the first day, he earned $10 more each day than the day before.

How much did Tim earn on the first day?

$30 $40 $50 $60

14Mel drives her car a distance of 40 km at a constant speed of 30 km/h.

How long does the drive take?

45 min 1 h 10 min 1 h 20 min 1 h 33 min

15This is a map of a park.

North

10 metres

Gate

Gate

Gate

Gate

AB

C

D

Lake

Josh entered the park through one of the gates. He then walked south-east along a path. After 90 metres he turned right. He then walked another 30 metres and stopped.

Which point on the map shows where Josh stopped?

A B C D

6

© ACARA 2013


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16A circle has a circumference of 40 cm.

Which of these is closest to the radius of the circle?

3.6 cm 6.4 cm 12.7 cm 62.8 cm

17This table shows how the mass of barley is related to its volume.

Volume(cubic metres)

50

Mass(tonnes)

30

100 60

150 90

200 120

A silo contains 105 cubic metres of barley.

How many tonnes of barley are in the silo?

63 tonnes 65 tonnes 165 tonnes 175 tonnes

18This is a diagram of a Saturn V rocket.

101.6 metres

Stage 1 Stage 2 Stage 3

Stage 1 of the rocket was 42 metres in length.

Which of these is closest to the length of Stage 1 as a percentage of the total length of the rocket?

24% 41% 42% 60%

7

© ACARA 2013


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19A group of 200 Year 9 students was asked which activity they spent most time doing after school.

The table shows the results.

Activity Number of students

Sport 52

Music practice 40

Part-time work 59

Homework 32

Other 17

One of these students is chosen at random.

What is the probability that the student spends most time doing music practice after school?

0.2 0.4 0.5 0.8

20Mia shoots an arrow into the air. This graph shows the height of the arrow above ground level for the time that the arrow is in the air.

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2

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4

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0 1 2 3 4

Height (m) Height of Arrow

Time (sec)

For how long is the arrow at a height of more than 2 metres above the ground?

3.4 sec 3.6 sec 3.8 sec 4.3 sec

8

© ACARA 2013


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21A cube of side length 2 cm is glued onto the top corner of a cube of side length 4 cm.

What is the surface area of the new object?

92 cm2 112 cm2 116 cm2 120 cm2

22This table shows attendance at a concert over four nights.

Night Number of people

Wednesday 310

Thursday 390

Friday 380

Saturday 420

The cost of each ticket was $20.

What was the mean amount of money collected from ticket sales per night?

$

23This list shows the heights of ten students, in centimetres.

155, 173, 150, 182, 164, 170, 168, 175, 158, 180

What is the range of the heights?

25 centimetres27 centimetres30 centimetres

32 centimetres

9

© ACARA 2013


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24Alex spent 85% of his money on a surfboard.

The surfboard cost $340.

How much money did Alex have left after he bought the surfboard?

$

25 foot-bridge

road 7 m

?

This scale diagram shows a footbridge crossing over a road.

The width of the road is 7 metres.

What is the width of the footbridge?

metres

26The total mass of two bacteria is 5.4 × 10-12 grams. The mass of one of them is 4 × 10-13 grams.

What is the mass of the other?

5 × 10-12 grams5 × 10-13 grams1.4 × 10-12 grams1.4 × 10-13 grams

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© ACARA 2013


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27All of the triangles in this pattern are similar.

a

The bottom sides of the smallest and largest triangles form a straight line.

What is the size of the angle marked a?

degrees

28Nick stacks shopping trolleys.

340 cm180 cm

A stack of 3 trolleys has a length of 180 cm. A stack of 7 trolleys has a length of 340 cm.

What is the length of a similar stack of 10 trolleys?

600 cm 520 cm 460 cm 370 cm

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© ACARA 2013


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29The mass of a wedge-tailed eagle is 5.76 kilograms.

Its wingspan is 2.32 metres.

wingspan

A rule that can be used to approximately predict the wingspan of an eagle from its mass is

mw = √

where w is the wingspan in metres and m is the mass in kilograms. What is the difference in centimetres between the eagle’s actual wingspan and the wingspan predicted by the rule?

centimetres

30The diagram shows the ranges of travel times between five places labelled A to E.

The times shown are in minutes.

16–20

14–20

8–12

15–23

24–32

5–810–14A

B

C D

E

What is the shortest possible travel time from A to E?

minutes

12

© ACARA 2013


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31Ali made a rectangular prism by joining two identical cubes as shown.

height

The volume of the prism is 686 cubic centimetres.

What is the height of the prism?

centimetres

32 In this pattern of squares each smaller square is half the area of the next biggest square.

20 mm

What is the area of the grey part of the pattern?

square millimetres

STOP – END OF TEST

Do not turn this page.

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© ACARA 2013


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9year

2013

Use 2B or HB pencil only

© Australian Curriculum, Assessment and Reporting Authority, 2013

0:40 Time available for students to complete test: 40 minutes

SeSSION 2

NUMeraCy NON-CalCUlatOr

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17369

** THIS TEST BOOK IS ONLY TO BE USED BY THE STUDENT WHOSE NAME IS PRINTED ON THE OTHER SIDE. **

You must do your own work and follow all directions given to you by the teacher.Do not speak to other students and raise your hand if you need to speak to the teacher.All questions must be answered using a 2B or HB pencil. If you need to change an answer, carefully erase it and write another answer.You are NOT permitted to use a calculator of any type for this test.To confirm you have the correct test book, print your name in the boxes below when instructed.

1.2.3.4. 5. 6.

tESt INStRUCtIoNS

FIRST NAME LAST NAME

2 3

© ACARA 2013 © ACARA 2013

YEAR 9 NUMERACY (NON-CAlCUlAtOR) YEAR 9 NUMERACY (NON-CAlCUlAtOR)

1How much is three-quarters of $600?

$150 $360 $400 $450 $800

2 This graph shows the number of people in a school hall at 5-minute intervals over 2 hours.

6:00time

6:20 6:40 7:00 7:20 7:40 8:00

200

100

0

Numberof people

At which of these times was the greatest number of people in the hall?

6:40 7:00 7:15 7:20

3This fence has five sections of equal length.

Three of the sections have been painted black.

What percentage of the whole fence has been painted black?

3% 18% 30% 40% 60%

4At a ski resort the morning temperature was –11°C.

In the afternoon the temperature was 5°C.

What was the change in temperature from the morning to the afternoon?

decrease of 16°C decrease of 6°C increase of 6°C increase of 16°C

5 6 × (4 + 2) ? 4 × 5 + 6

Which symbol (<, =, >) should replace ? to make the number sentence correct?

< = >

6Which are the lines of symmetry of this shape?

AB

C

D

A and C B and D B and C A and D

7What is the probability of an event that is certain to happen?

0.0 0.5 1.0 1.5

82015 is called a tri-square year because

22 + 02 + 12 = 5

The next tri-square year after 2015 will be

2019 2028 2109 2116

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4 5



9This paper shape was cut into several identical pieces with no paper left over.

Which of these could be the shape of the pieces?

10Finn put some flour on his kitchen scales.

The picture shows part of the dial.

200

400

0 g

How many grams of flour did Finn put on the scales?

230 260 275 280 325

11 34 – 32 = ?

6 9 72 75

12This square has side length L.

L

Which of these expressions could not be used for the perimeter of the square?

L × 4 L × L 2 × (L + L) L + L + L + L

13Which of the following triangle types is impossible to draw?

a scalene, right-angled triangle an isosceles, acute-angled trianglean isosceles, obtuse-angled trianglean equilateral, right-angled triangle

14The first track on a CD runs for 2 minutes 45 seconds.

The second track runs for 4 minutes 25 seconds.

What is the difference in running time between the two tracks?

1 minute 40 seconds2 minutes 20 seconds2 minutes 40 seconds7 minutes 10 seconds

15Max has 3.98 litres of lemonade in bottles.

The bottles come in three sizes: 1.5 litres, 650 millilitres, 330 millilitres. All the bottles are full.

How many bottles does Max have?

4 6 7 10 12

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16This graph shows three corners of a parallelogram.

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2

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6

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y

x

Which of these points is the fourth corner?

(4, 6) (5, 5) (6, 4) (6, 5)

17In the past month, five houses were sold in Liz’s neighbourhood.

The selling price for each house is listed below.

$225 000, $225 000, $355 000, $275 000, $380 000

What was the median selling price for these five houses?

$225 000 $275 000 $292 000 $355 000

18Which of these is equivalent to – (x + 2) ?

– x – 2 x – 2 – x + 2 x + 2

1910x > x2

What is the largest whole number x can be?

20Meg has an electronic photo display. Each photo remains on the screen for 9 seconds. Meg has 100 photos on her memory card.

How many minutes will it take to complete the display of all photos?

minutes

21The table below shows a pattern of shapes.

Shape number (N) 1 2 3

Shape Number 1 2 3Shape Number 1 2 3Shape Number 1 2 3Number of squares (S) 1 5 9

The equation which is used to show the relationship between S and N is

S = N + 4 S = 4N S = 4N + 4 S = 4N – 3

22The top and bottom faces of this object are both regular 7-sided polygons.

The other faces are isosceles triangles.

How many edges does the object have?

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8 9



23Three friends share a job.

They share their total pay based on the number of days each worked.

Days worked

Jake 1

Ryan 4

Matt 2

This week their total pay is $420.

What is Matt’s share?

$

24

10 cm 10 cm

4 cm 4 cm

What is the area of the grey part of the shape?

square centimetres

25Ruby joins some tiles to make lines of different lengths.

3 tiles 6 tiles

10 cm 18 cm

She follows the same pattern to make a line that is 60 cm long.

How many tiles are in this line?

26Emily drew this picture of a building. It shows a view of the building from the north.

Which of these is a view of the building from the east?

27This graph can be used to approximately convert miles to kilometres.

0 1 2 3Miles

Kilometres4.8

4 5 6 7

?

Using the graph, a distance of 5 miles is closest to

6.3 kilometres.6.8 kilometres.7.2 kilometres.8.0 kilometres.

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28A B C D

The distance from A to B is one-third of the distance from A to D. The distance from C to D is one-quarter of the distance from A to D. The distance from B to C is 150 millimetres.

What is the distance from A to D ?

millimetres

29This skateboard ramp is a triangular prism.

It is filled with sand.

0.3 m

1 m

1 m

What is the volume of the sand?

0.15 m3 0.3 m3 1.5 m3 3 m3

30A population of kangaroos has a death rate of 1 kangaroo every 2 days. The same population of kangaroos has a birth rate of 1 kangaroo every 3 days. Overall, the population is decreasing at the rate of 1 kangaroo every x days.

What is the value of x?

31A new fence is to be built around the perimeter of this paddock.

The fence is to have 4 strands of wire as shown.

500 metres

500 metres

600 metres4-strand

wire fence

900 metres

paddock

How many kilometres of wire are needed?

kilometres

32A teacher marked out two rectangles on a sports field as shown.

A

C

B

24 m

50 m

120 m

GD

FE10 m

Rectangles ABCD and EFGD are similar. The distance from D to F is 26 metres.

What is the distance from F to B?

metres

StOP – END Of tESt

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numeracy 9melbabastow.weebly.com/uploads/9/8/9/4/9894393/yr9p_cn2013.pdf · there are 6 cubes in...

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