Free Printable Year 9 Digital Practice NAPLAN Numeracy

1.

Jarrad is paid $18 per hour at his job. How much will he be paid for working 6 hours?

a)

$12

b)

$24

c)

$108

d)

$216

2.

Which of the following is equal to 36?

a)

$2^3\times2^2$

b)

$2^3+2^2$

c)

$3^2\times2^2$

d)

$3^2+2^2$

3.

When keeping horses, 1 hectare of land is recommended for every 2 horses. How many hectares of land would be needed for 8 horses?

a)

4

b)

6

c)

10

d)

16

4.

What is the value of the expression 5 + ( – 17) – ( – 4)?

a)

-16

b)

-8

c)

18

d)

26

5.

Tammy left her house at 8:35 in the morning and did not return until 4:45 in the afternoon. How long was Tammy away from her house?

a)

3 hours 50 minutes

b)

4 hours 10 minutes

c)

7 hours 50 minutes

d)

8 hours 10 minutes

6.

Mike had 4 cups of rice. He used 1 1/2 cup of rice for one recipe and 1 1/4 cups of rice for another recipe. How many cups of rice did Mike have left?

a)

$1\ \frac{1}{4}$

b)

$2\ \frac{1}{4}$

c)

$2\ \frac{1}{2}$

d)

$5\ \frac{3}{4}$

7.

At a hardware store, 20 kilograms of sand costs $4.50 and 40 kilograms of the same sand costs $9.00. Which graph could show the relationship between the amount of sand and its cost?

a)

b)

c)

8.

A store sold plates for $5 each and mugs for $3 each. Nathan wrote the equation 5p + 3m = 75 to calculate the number of plates and mugs he could buy for exactly $75. How many plates and mugs did Nathan buy for $75?

a)

5 plates and 3 mugs

b)

5 plates and 12 mugs

c)

9 plates and 10 mugs

d)

15 plates and 25 mugs

9.

Leo recorded the number of pages he printed over five weeks. 17, 22, 17, 24, 20 What is the mean number of pages Leo printed?

a)

20

b)

22

c)

18

d)

24

10.

A class is making crystals using sugar-water and string. Each student needs 0.25 litres of sugar-water for the experiment. How many millilitres of sugar-water does each student need?

a)

0.25mL

b)

0.025mL

c)

0.0025mL

d)

0.00025mL

11.

Ruby designs a rectangular picture for her wall. Inside her rectangle, she adds three straight lines as shown. What is the size of angle x?

a)

120

b)

60

c)

45

d)

135

12.

The wheels on a bicycle each have a diameter of 670 mm. The wheels turn 10 times. Approximately how many metres has the bicycle travelled?

a)

10 m

b)

21 m

c)

42 m

d)

352 m

13.

Which expression is equivalent to $3x^2-9x+x^3$ ?

a)

$3\left(x^2-3x+x^3\right)$

b)

$3x\left(x-3+x^2\right)$

c)

$x^3\left(3x^2-9x+x^3\right)$

d)

$x\left(3x-9+x^2\right)$

14.

Jenny asked 35 people whether they work, go to school, do both or do neither. The Venn diagram shows the results. What is the probability that a person randomly selected from the group goes to school and works, rounded to three decimal places?

a)

0.943

b)

0.100

c)

0.091

d)

0.086

15.

Lines AB and CD are parallel. Line PQ intersects lines AB and CD as shown.Which pair of angles are equal?

a)

$\angle DGQ\ and\ \angle DGP$

b)

$\angle CGP\ and\ \angle AFQ$

c)

$\angle QGC\ and\ \angle QGD$

d)

$\angle PGC\ and\ \angle PFA$

16.

Anne made a dot plot to show the ages of the students in her dance class. What is the range of ages of the students in Anne’s dance class?

a)

4

b)

8

c)

10

d)

11

17.

There are 52 people in a conference room. The ratio of females to males in the room is 15 to 11. How many females need to leave the room so that the ratio of females to males in the room is 1 to 1?

a)

8

b)

6

c)

4

d)

10

18.

A school vegetable garden has:

• 4 lettuce plants

• 2 less capsicum plants than spinach plants

• 4 times as many spinach plants as lettuce plants

• 1 parsley plant, 1 sage plant and 1 basil plant and

• the number of spinach plants is a quarter of the number of tomato plants.

How many plants are growing in the school vegetable garden?

a)

101

b)

111

c)

121

d)

91

19.

A shop sells four sizes of cans of red kidney beans.Which can of red kidney beans costs the least per gram?

a)

1

b)

2

c)

3

d)

4

20.

A Cartesian plane is shown. Select the correct statement below.

a)

O is located where x = 0 and y < 0

b)

J is located where x > 0 and y < 0

c)

K is located where x < 0 and y > 0

d)

L is located where x < 0 and y = 0

21.

The Louvre Pyramid in Paris, France, is made up of four triangles and a square. Roland is hired to clean the interior sides and the floor of the Louvre Pyramid. What is the area that Roland will need to clean?

a)

3227

b)

4258

c)

3614

d)

2489

22.

Mike put $1000 into a simple interest account for a year. He did not take any money out or add any money to the account. At the end of the year he had $1050 in the account. What was the annual percentage interest rate?

a)

10

b)

8

c)

5

d)

2

23.

Seth draws a target as shown. What is the area of the entire target? Round your answer to the nearest square centimetre.

a)

358

b)

491

c)

814

d)

567

24.

What is the value of x if $\frac{3}{2}x+4=2x-1$ ?

a)

8

b)

12

c)

10

d)

5

25.

Which of these can be measured in litres?

a)

area

b)

mass

c)

volume

d)

length

26.

$y=2x^2-8$

What is the value of y when x=2.2?

a)

-6.32

b)

0.8

c)

1.68

d)

11.36

27.

What is the value of $\frac{63.4+28.24}{9.2\times1.6}$ rounded to one decimal place?

a)

6.2

b)

15.9

c)

24.5

d)

68.3

28.

A cardboard box is in the shape of a cube. It is filled with identical small cubes of the size shown. Which of these is the closest estimate for the number of cubes that would fill the box?

a)

25

b)

40

c)

200

d)

800

29.

One billion is one thousand million. Which of the following is 70 billion?

a)

$7\times10^{13}$

b)

$7\times10^{10}$

c)

$7\times10^7$

d)

$7\times10^4$

30.

There are 12 apples and 7 pears in a bowl. About what percentage of the fruit in the bowl is pears?

a)

7%

b)

37%

c)

58%

d)

63%

31.

Which one of these has the same value as $20^2$ ?

a)

$40^2\div4$

b)

$2\times2\times5\times2\times5$

c)

$4\times5^2$

d)

$2\times10\times10$

32.

A concert starts at 10:28 am and runs for 124 minutes. What time does it finish?

a)

11:52am

b)

11:52pm

c)

12:32am

d)

12:32pm

33.

The diagram shows an isosceles triangle. What is the size of the angle ABC ?

a)

38.5

b)

45

c)

51.5

d)

60

34.

The petrol gauge in Lyn’s car showed that she had used half of the petrol in the tank. She then spent $42 filling up her tank at a cost of $1.35 per litre. Approximately how much petrol can Lyn’s petrol tank hold when it is full?

a)

31

b)

57

c)

62

d)

84

35.

How many more cars were produced in North and South America than in Europe and Africa?

a)

5 062 043

b)

3 243 124

c)

6 048 846

d)

8 684 154

36.

Simon is facing west. He turns 135° clockwise. Simon then turns anticlockwise until he faces east. By how many degrees did Simon turn anticlockwise?

a)

45

b)

180

c)

225

d)

315

37.

The equation 2y + 1 = x is rearranged to have y as the subject. Which of these correctly gives y as the subject?

a)

$y=\frac{x-1}{2}$

b)

$y=\frac{x+1}{2}$

c)

$y=2x-1$

d)

$y=2x+1$

38.

The rule for calculating the price to deliver a parcel of mass m kg is price $Cost\ =\ 7+3.5m$ . What is the mass, in kg, of a parcel with a delivery price of $70?

a)

13

b)

18

c)

22

d)

27

39.

A sand timer contains 595 g of sand. It takes half an hour for all of the sand to flow through the timer. Each millilitre of sand weighs 1.6 g. How many millilitres of sand flow through the timer per minute?

a)

12.4

b)

19.8

c)

31.7

d)

743.8

40.

Sarah was collecting money for charity. By Sunday night she had collected 55% of her target amount. On Monday she collected another $70, which meant she had now collected 75% of her target amount. What was Sarah’s target amount?

a)

350

b)

225

c)

478

d)

124

41.

Kim uses sticks to make a pattern of squares. When a shape consists of 28 squares, how many sticks will the shape have?

a)

85

b)

47

c)

70

d)

69

42.

The total length of all edges of a cube is 156 cm. What is the volume of the cube?

a)

2197

b)

1547

c)

3648

d)

864

43.

A new power drill was on sale with 15% discount. As a regular customer, Peter received a further 10% on the already discounted price. What was the overall percentage discount Peter received?

a)

1.5%

b)

12.5%

c)

16.5%

d)

23.5%

44.

Which of these equations represents the line in the graph?

a)

$y=15-2x$

b)

$y=15+7.5x$

c)

$y=15-7.5x$

d)

$y=15+2x$

45.

A total of 301 617 babies were born in Australia in 2011. Of these babies, 146 621 were girls. How many boys were born in Australia in 2011?

a)

154 996

b)

245 016

c)

301 617

d)

448 238

46.

Rose tosses a fair coin 100 times. Which of these results is most likely?

a)

98 head

b)

53 heads

c)

39 heads

d)

26 heads

47.

Tina walks along the path from X to Y. How far does she walk in kilometres?

a)

0.13

b)

1.3

c)

13

d)

1300

48.

Which number shows 3 thousands, 5 tens and 2 tenths?

a)

350.02

b)

3005.2

c)

3050.2

d)

3500.02

49.

Two arrows show points on this number line. Which one of these numbers lies between the two arrows?

a)

350

b)

390

c)

490

d)

550

50.

Mia measures three angles of a block of land. She makes this sketch. What is the size of angle x?

a)

98

b)

108

c)

118

d)

128

51.

In Australia, road distance is measured in kilometres. In the USA, road distance is measured in miles. 5 miles is about the same distance as 8 kilometres. About how many miles is 120 kilometres?

a)

15 miles

b)

40 miles

c)

75 miles

d)

192 miles

52.

Which of these best describes the chance of an event that is very likely?

a)

$\frac{1}{3}$

b)

$\frac{1}{2}$

c)

$\frac{5}{6}$

d)

1

53.

3 Sue has only 10-cent, 20-cent and 50-cent coins in her pocket. In total she has $2.80. What is the smallest number of coins she could have?

a)

5

b)

6

c)

7

d)

8

54.

Paul takes part in a swimathon to raise money. He has two sponsors. His father donates $2.50 for each lap of the pool that Paul swims. His grandmother donates $10 in total. How many laps does Paul need to swim to raise $100?

a)

8

b)

10

c)

36

d)

40

55.

Dani earns $45 for washing 9 cars. Which expression shows how many dollars she will earn for washing n cars?

a)

$\left(45\times9\right)\times n$

b)

$\left(45\div9\right)\div n$

c)

$\left(45\times9\right)\div n$

d)

$\left(45\div9\right)\times n$

56.

On this map the distance from the rocks to the waterhole is 4 cm. What is the actual distance from the rocks to the waterhole?

a)

50m

b)

80m

c)

500m

d)

800m

57.

Andy and Kal ran a race together. Kal finished the race in one hour and five minutes. Andy took 35% longer than Kal. Approximately how long did Andy take to finish the race?

a)

88 minutes

b)

100 minutes

c)

140 minutes

d)

142 minutes

58.

Bill is standing 5 metres due north of Sarah. Sarah is standing 5 metres due east of Alice. Alice is facing east. She then turns anticlockwise so that she is facing Bill. How many degrees does Alice turn through?

a)

45

b)

60

c)

90

d)

120

59.

This calculation gives the approximate volume of the dome in cubic metres. $Volume=\frac{1}{2}\times\frac{4\pi}{3}\times8^3$

What volume does the calculation give, to the nearest cubic metre?

a)

1072

b)

864

c)

1534

d)

1896

60.

About 40 000 skin cells are lost from the surface of our skin every minute. Which of these values is closest to the number of skin cells lost in one day?

a)

$9.6\times10^4$

b)

$9.6\times10^5$

c)

$5.76\times10^5$

d)

$5.76\times10^7$

61.

The rule for the graph is

$D=\frac{S^2}{k}$

is the distance in metres that a car takes to stop when it is travelling at a speed of S kilometres per hour. The graph shows that a car travelling at 60 kilometres per hour takes 30 metres to stop. Use this to calculate the value of k.

a)

120

b)

100

c)

150

d)

180

62.

Dan worked for 7 hours at his normal pay rate. He also worked for 4 hours on the weekend at double his normal pay rate. Dan was paid $445.50 in total. How much was his normal pay rate per hour?

a)

45.1

b)

18.9

c)

29.7

d)

34.9

63.

Alex has a rectangular room, 3.2 metres long and 2.4 metres wide. She wants to cover the floor of her room with these square tiles. How many packs of tiles does Alex need?

a)

6

b)

8

c)

10

d)

12

64.

$\frac{2}{35}=\frac{1}{30}+\frac{1}{x}$

What does the missing number x equal ?

a)

18

b)

24

c)

37

d)

42

65.

David counted the birds in his garden. $\frac{1}{3}$ of the birds were cockatoos and $\frac{1}{4}$ were pigeons. He saw 6 more cockatoos than pigeons. How many birds did David see?

a)

18

b)

24

c)

42

d)

72

66.

A cube is cut into two identical rectangular prisms. What is the ratio of the surface area of the cube to the surface area of one of the prisms?

a)

1:2

b)

2:1

c)

2:3

d)

3:2

67.

One lap of a park is 3.52 kilometres. How many kilometres is 16 laps?

a)

4.55

b)

18.52

c)

48.52

d)

56.32

68.

$1.5\times x=0.6$

What value of x makes this number sentence correct?

a)

0.4

b)

-0.9

c)

0.9

d)

2.5

69.

There 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?

a)

36

b)

31

c)

30

d)

26

70.

One year ago Jay was 140 cm tall. He is 5% taller now than he was then. How tall is Jay now?

a)

133

b)

145

c)

147

d)

210

71.

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

a)

A and C

b)

A and D

c)

B and D

d)

B and C

72.

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

a)

$2 353 500

b)

$8 604 200

c)

$2 353 500 000

d)

$8 604 200 000

73.

What is the sum of the six marked interior angles?

a)

540

b)

630

c)

720

d)

810

74.

There are 61 guests at a party. There are 17 more men than women. How many women are at the party?

a)

21

b)

22

c)

39

d)

44

75.

Tim 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?

a)

$30

b)

$40

c)

$50

d)

$60

76.

Mel drives her car a distance of 40 km at a constant speed of 30 km/h. How long does the drive take?

a)

45 min

b)

1h 10 min

c)

1 h 20 min

d)

1 h 33 min

77.

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)

A

b)

B

c)

C

d)

D

78.

A circle has a circumference of 40 cm. Which of these is closest to the radius of the circle?

a)

3.6

b)

6.4

c)

12.7

d)

62.8

79.

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?

a)

24%

b)

41%

c)

42%

d)

60%

80.

This 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?

a)

25

b)

27

c)

30

d)

32

81.

Alex spent 85% of his money on a surfboard. The surfboard cost $340. How much money did Alex have left after he bought the surfboard?

a)

60

b)

80

c)

100

d)

120

Year 9 Digital Practice NAPLAN Numeracy

Total questions: 81

Worksheet time: 4hrs 3mins

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