Free Printable YEAR 8 PTM PRACTICE

1.

What is 1/5 of 25?

a)

5

b)

125

c)

50

d)

15

2.

What is 1/3 of 48?

a)

24

b)

12

c)

16

d)

96

3.

Find ⁴/₉ of $54

a)

$20

b)

$24

c)

$18

d)

$30

4.

Find the value of angle a

(a)

5.

Find the value of angle a

(a)

6.

Find the value of angle a

(a)

7.

Order from least to greatest. 1.25, 1.52, 1.02, 1.50

a)

1.25 1.52 1.02 1.50

b)

1.52 1.02 1.50 1.25

c)

1.02 1.50 1.25 1.52

d)

1.02 1.25 1.50 1.52

8.

Which decimal is the smallest?
0.56
0.65
0.605
0.506

a)

0.56

b)

0.65

c)

0.605

d)

0.506

9.

Write in order from least to greatest.
0.75, 0.39, 0.2, 0.35

a)

0.2, 0.35, 0.39, 0.75

b)

0.75, 0.39, 0.35, 0.2

c)

0.2, 0.39, 0.35, 0.75

d)

0.75, 0.35, 0.39, 0.2

10.

What is the volume of this rectangular prism?

a)

27 cubic units

b)

18 cubic units

c)

9 cubic units

d)

3 cubic units

11.

What is the volume of this prism?

a)

2 cubic in

b)

12 cubic in

c)

13 cubic in

12.

What is the volume?

a)

15 cubic units

b)

12 cubic units

c)

18 cubic units

d)

10 cubic units

13.

What is the volume of this prism?

a)

7 cubic units

b)

4 cubic units

c)

6 cubic units

d)

It's impossible to find

14.

100 x 10 - 100 + 2000 / 100 = ?

a)

29

b)

920

c)

1810

d)

NONE

15.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

16.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

17.

Which operation would you do first?
10 - 7 + 8 ÷ 1

a)

Subtraction

b)

Addition

c)

Division

d)

Multiplication

18.

John cleans carpets of different areas.
He uses this graph to work out the cost of cleaning a carpet.
What is the cost of cleaning a carpet that has an area of 30 $m^2$

a)

125

b)

150

c)

200

d)

10

19.

John cleans carpets of different areas. He uses this graph to work out the cost of cleaning a carpet.

It costs £150 to clean a carpet, what is its area?

a)

30 $m^2$

b)

36 $m^2$

c)

32 $m^2$

d)

37 $m^2$

20.

This conversion graph can be used to change between metres and feet.

Use the conversion graph to change 6 metres to feet.

a)

22 feet

b)

16 feet

c)

20 feet

d)

18 feet

21.

Fully simplify the ratio...

20:30

a)

2:3

b)

4:6

c)

10:15

d)

3:2

22.

Fully simplify the ratio...

18:24

a)

3:4

b)

9:12

c)

2:3

d)

3:2

23.

Split £20 into the ratio 7:3

a)

£14 : £6

b)

£7 : £3

c)

£6 : £14

d)

£70 : £30

24.

Split £36 into the ratio 1:2

a)

£12 : £24

b)

£36 : £72

c)

£6 : £30

d)

£30 : £6

25.

Split £128 into the ratio 9:7

a)

£72 : £56

b)

£100 : £28

c)

£90 : £70

d)

£28 : £100

26.

Split £72 into the ratio 5:3

a)

£45 : £27

b)

£50 : £30

c)

£60 : £12

d)

£27 : £45

27.

A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?

a)

4 : 5

b)

10 : 13

c)

3:4

d)

3:5

28.

For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?

a)

$50

b)

$30

c)

$20

d)

$25

29.

Share 180 in the ratio 3:2:1

a)

30:90:60

b)

90:60:30

c)

120:60:30

d)

60:30:90

30.

Put these in order from least to greatest.

a)

b)

c)

d)

31.

Put them in order from greatest to least.

a)

b)

c)

d)

32.

Compare and order from smallest to the largest.

45%, 2/5, 0.5

a)

45%, 2/5, 0.5

b)

0.5, 2/5, 45%

c)

2/5, 45%, 0.5

d)

Non of the above.

33.

Compare and order from smallest to the largest.

36%, 22/25, 0.73

a)

36%, 0.73, 22/25

b)

36%, 22/25, 0.73

c)

22/25, 0.73. 36%

d)

Non of the above.

34.

25% of a circle is equal to:

a)

one-fifth

b)

a quarter

c)

a half

d)

two fifth

35.

32 people went to a ice hockey match. The pie chart shows the colours of their shirts. How many people wore black?

a)

45

b)

\frac{1}{8}

c)

1

d)

4

36.

A darts player hits his target 40% of the time. Which pie chart represents his hits and misses?

a)

b)

c)

d)

37.

To find the _________ you add up all the numbers and then divide by how many numbers you have.

a)

Mean

b)

Median

c)

Mode

d)

Range

38.

To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.

a)

Mean

b)

Median

c)

Mode

d)

Range

39.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

a)

Mean

b)

Median

c)

Mode

d)

Range

40.

Find the value of y.

a)

125

b)

135

c)

140

d)

110

41.

Find the value of y.

a)

110

b)

90

c)

130

d)

120

42.

What is the probability of scoring 3 when rolling 2 dice?

a)

$\frac{1}{6}$

b)

$\frac{3}{36}$

c)

$\frac{2}{36}$

d)

$\frac{2}{12}$

43.

What is the probability of scoring 4 when rolling 2 dice?

a)

$\frac{3}{6}$

b)

$\frac{3}{36}$

c)

$\frac{2}{36}$

d)

$\frac{2}{12}$

44.

What is the probability of scoring 7 when rolling 2 dice?

a)

$\frac{3}{6}$

b)

$\frac{3}{36}$

c)

$\frac{2}{36}$

d)

$\frac{6}{36}$

45.

What is the probability of scoring a two digit number when rolling 2 dice?

a)

$\frac{18}{36}$

b)

$\frac{3}{36}$

c)

$\frac{2}{36}$

d)

$\frac{6}{36}$

46.

What is the probability of scoring a prime number when rolling 2 dice?

a)

$\frac{18}{36}$

b)

$\frac{15}{36}$

c)

$\frac{2}{36}$

d)

$\frac{6}{36}$

47.

What is the probability of scoring 2 when rolling the green and orange dice?

a)

$\frac{1}{36}$

b)

$\frac{1}{6}$

c)

$\frac{1}{12}$

d)

$\frac{1}{24}$

48.

What is the probability of scoring 8 when rolling the green and orange dice?

a)

$\frac{3}{36}$

b)

$\frac{3}{6}$

c)

$\frac{3}{12}$

d)

$\frac{3}{24}$

49.

What is the probability of scoring an even number when rolling the green and orange dice?

a)

$\frac{5}{24}$

b)

$\frac{12}{24}$

c)

$\frac{6}{24}$

d)

$\frac{3}{24}$

50.

Find the simultaneous solution

a)

(6, 8)

b)

(8, 6)

c)

(-6, 8)

d)

No solution

51.

The simultaneous solution for these two lines is

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

52.

Find the simultaneous solution

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

53.

Solve:

3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

54.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

55.

Solve the simultaneous equations

x+y=5

x-y=1

a)

x=2, y=3

b)

x=3, y=2

c)

x=3, y=-2

d)

x=-3, y=2

56.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

57.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

58.

Find missing side

a)

5

b)

7

c)

9

d)

11

59.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

60.

Mr. Rudman drives his race car for 4 hrs at 150 miles/hr. How far will he travel?

a)

600 km

b)

60 miles

c)

6 miles

d)

600 miles

61.

1. How far will a train moving at 5.7 km/min go in 45 minutes?

a)

256.5 km

b)

0.12 km

c)

7.89 km

62.

Joanna drives for 400km at an average speed of 80km/h. How long was her journey?

a)

Joanna's journey was 5hrs long

b)

Joanna's journey was 10hrs long

c)

Joanna's journey was 20hrs long

d)

Joanna's journey was 15hrs long

63.

Figure out the pattern and add the missing number in the sequence

3, 6, (a) , 12, 15

64.

How many tiles are in Arrangement 4?

a)

12 tiles

b)

13 tiles

c)

14 tiles

65.

At a birthday party 40% of the children had an ice-cream. 150 children attended the party. How many had an ice-cream?

a)

60

b)

70

c)

80

d)

90

66.

The computer Paul bought originally cost €620 but he was given a 30% discount. How much money did he save?

a)

€200

b)

€186

c)

€173

d)

€250

67.

If x = 5, y = 3 & z = 2, what is x + 2y + 3z

a)

15

b)

16

c)

17

d)

18

68.

If a = 3, b = 4, what is 2a + 3b?

a)

15

b)

16

c)

17

d)

18

69.

If m = 3 & n = 7, what is 5m - 2n?

a)

1

b)

6

c)

12

d)

29

70.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

71.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

72.

Identify the hypotenuse.

a)

x

b)

z

c)

w

73.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

74.

Select the correct option

$3258\ \ \ \ \ \ \ \ 3251$

a)

b)

c)

75.

Select the correct option

$8036\ \ \ \ \ \ \ \ 8306$

a)

b)

c)

YEAR 8 PTM PRACTICE

Total questions: 75

Worksheet time: 3hrs 30mins

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