Free Printable Y8 Higher Review

1.

Ashley wants to use ribbon to put a border around her picture. The picture is 6 inches long and 4 inches wide. How much border will she need?

a)

24 inches

b)

20 inches

c)

10 inches

2.

A lawn had an area of 35 square feet. If it was 7 feet width, how long was it?

a)

84 ft.

b)

245 ft.

c)

5 ft.

d)

14 ft.

3.

Find the area.

a)

32 in²

b)

12 in²

c)

32 in

d)

4 in²

4.

Find the Area:

a)

54 ft²

b)

45 ft²

c)

63 ft²

d)

36 ft²

5.

Find the area of the figure.

a)

43 sq inches

b)

102 sq inches

c)

37 inches

d)

90 sq inches

6.

Find the area of the circle.

a)

176.6 cm²

b)

706.5 cm²

c)

23.6 cm²

d)

50.24 cm²

7.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

8.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

9.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

10.

What is the volume of the following triangular prism?

a)

45 cubic in

b)

36 cubic in

c)

108 cubic in

d)

54 cubic in

11.

Which list contains all prime numbers?

a)

2, 3, 5, 7, 11

b)

2, 3, 5, 7, 9

c)

2, 4, 5, 7, 11

d)

2, 3, 5, 7, 12

12.

Find the prime factorization of 72

a)

2³x 3²

b)

2 x 3² x 4

c)

2⁴ x 3³

d)

2² x 6²

13.

If a = 4 & b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

14.

What is the value of -3y - 9 if y = -8?

a)

15

b)

-15

c)

14

d)

-14

15.

Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x² + z²

a)

2

b)

27

c)

50

d)

34

16.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

17.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

18.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

19.

Triangle GHI is reflected across the x-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

20.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

21.

Find the scale factor of the enlargement from A to C

a)

2

b)

0.5

c)

3

d)

4

22.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

23.

Without using a protractor, find the measure of X.

a)

45 degrees

b)

28 degrees

c)

32 degrees

d)

118 degrees

24.

Without using a protractor, find the measure of X.

a)

62 degrees

b)

80 degrees

c)

32 degrees

d)

78 degrees

25.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

26.

Find the value of x

a)

141

b)

150

c)

135

d)

163

27.

Find the measureof the sum of the exterior angles in a hexagon

a)

360

b)

180

c)

720

d)

540

28.

Find the value of one angle measurein a pentagon

a)

108

b)

60

c)

120

d)

135

29.

What is the formula for the sum of exterior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

30.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

ASA triangle

d)

SAS triangle

31.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

Line bisector

d)

Perpendicular

32.

What is this tool called and what is it used for?

a)

A ruler used to measure lines.

b)

A protractor used to measure lines.

c)

A ruler used to measure angles.

d)

A protractor used to measure angles.

33.

What is the measure of the angle shown in the picture?

a)

30 degrees

b)

35 degrees

c)

140 degrees

d)

145 degrees

34.

Find the mean of
5, 4, 1, 8, 4, 2

a)

4

b)

5

c)

6

d)

7

35.

Find the range of
10, 3, 7, 8, 9, 4, 2

a)

8

b)

9

c)

10

d)

11

36.

Find the mode of
9, 8, 7, 8, 9, 7, 9, 8, 9

a)

7

b)

8

c)

9

d)

10

37.

Find the median of
4, 11, 9, 8, 7, 10

a)

7

b)

7.5

c)

8

d)

8.5

38.

Find the value of the missing number...

a)

21

b)

18

c)

14

d)

28

39.

What is 8/9 - 5/6?

a)

1/18

b)

3/4

c)

6/7

d)

10/12

40.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

41.

Change 5 3/4 into an improper fraction

a)

23/4

b)

4/23

c)

20/4

d)

5 4/3

42.

a)

8 ¹/35

b)

8 ¹²/35

c)

9

d)

8 ⁴/₁₅

43.

3 5/8 + 2 3/4

a)

5 11/8 = 6 3/8

b)

5 8/12 = 5 2/3

c)

5 8/8 = 6

d)

5 3/8

44.

Find the product.

a)

3/50

b)

30/5

c)

6

d)

1 1/5

45.

What is 47% in fraction?

(a)

46.

What number is 20% of 35?

a)

7

b)

5

c)

10.5

d)

.07

47.

Calculate
1.08÷4

a)

2.7

b)

0.27

c)

2.07

d)

.20

48.

4 x 0.03

a)

12

b)

0.12

c)

120

d)

0.012

49.

7.05-4.6=

a)

2.45

b)

3.65

c)

11.65

d)

11.45

50.

55.78+4.6=

a)

60.28

b)

55.32

c)

56.44

d)

60.38

51.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

52.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

53.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

54.

-48 = -6a

a)

a = -8

b)

a = 8

c)

a = 42

d)

a = -42

55.

Solve: 4k + 39 = 7k + 6

a)

k = 11

b)

k = 3

c)

k = -3

d)

k = -11

56.

Rearrange to make y the subject
$y-p=m$

a)

$y=p+m$

b)

$y=p-m$

c)

$y=m-p$

d)

$y=m+p$

57.

Rearrange to make y the subject
$4y+c=w$

a)

$y=\frac{w+c}{4}$

b)

$y=4\left(c+w\right)$

c)

$y=\frac{w-c}{4}$

d)

$y=4\left(w-c\right)$

58.

A line has an equation of y = - 5x - 10. What is the gradient of the line?

a)

-5

b)

-10

c)

5x

d)

10

59.

Look at the graph. Write down the equation for the line.

a)

y = - x + 3

b)

y = 4x + 3

c)

y = ¹/₄x + 3

d)

y = - 4x + 3

60.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

61.

What is the gradient of the line perpendicular to

𝑦=\frac{1}{3}𝑥+3

(a)

62.

What is the equation of a line parallel to

𝑦=\frac{1}{4}𝑥+7

a)

$y=-\frac{1}{4}x$

b)

$y=4x$

c)

$y=-4x$

d)

$y=\frac{1}{4}x$

63.

Write the ratio as a fraction in simplest form.
21 wins to 14 losses

a)

21/14

b)

2/3

c)

3/2

d)

14/21

64.

Share £80 in the ratio 3:2:5

a)

£24 : £16 : £40

b)

£16 : £24 : £40

c)

£40 : £24 : £16

d)

£40 : £16 £24

65.

How much mince is needed to serve 9...

a)

1kg

b)

1.5kg

c)

2kg

d)

2.5kg

66.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

67.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

68.

Find x.

a)

35

b)

20

c)

8

d)

12

69.

Find the missing side

a)

5 m

b)

7 m

c)

9 m

d)

11 m

70.

Are the following similar?
Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, corresponding sides are NOT in proportion.

d)

i dont know

71.

A die is rolled once. What is the probability of rolling a 5? Your answer should be a fraction in simplest form.

a)

1/6

b)

1/3

c)

2/5

d)

5/6

72.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

73.

If you select a marble without looking, how likely is it that you will pick a yellow one?

a)

certain

b)

unlikely

c)

impossible

74.

What is the chance that the dessert is brownies and has peanut butter in it?

a)

0.94

b)

0.58

c)

0.99

d)

0.95

75.

Use the tree chart to find the probability of randomly picking an outfit with a white shirt and jeans.

a)

There are 6 outfits

b)

2/6, or 2 out of the 6 outfits have a white shirt with jeans

c)

3/6, or 3 out of the 6 outfits have a white shirt with jeans

d)

1/6, or 1 out of the 6 outfits has a white shirt with jeans.

76.

How many senior boys play football but do not wrestle?

a)

26

b)

8

c)

104

d)

16

77.

Find the probability of getting a red shape.

a)

$\frac{5}{9}$

b)

$\frac{3}{9}$

c)

$\frac{1}{3}$

78.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football only?

a)

⁶⁶/₈₀

b)

⁴/₈₀

c)

¹⁸/₈₀

d)

⁴⁹/₈₀

79.

The leaves on the plant are turning brown.

a)

Qualitative

b)

Quantitative

c)

Both

d)

Neither

80.

The plant has grown 4 cm since yesterday.

a)

Qualitative

b)

Quantitative

c)

Both

d)

Neither

81.

To learn about teenagers' opinions of different social media platforms, a survey was given to students of one high school. This sample is...

a)

representative

b)

biased

c)

random

82.

How long does the bus to Birchington take?

a)

continuous

b)

discrete

83.

How much does a Mars Bar cost?

a)

continuous

b)

discrete

84.

The scatter graph shows the relationship between the age of a car and its value.

Describe the correlation shown on the diagram

a)

Positive

b)

Negative

c)

No Correlation

85.

The scatter graph shows the relationship between the age of a car and its value.

Another car is 6 years old. Estimate the value of this car.

a)

£6000

b)

£4000

c)

£2000

d)

£3000

86.

Which interval shows the greatest number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

87.

21. How many students are represented by the histogram?

a)

Cannot be determined

b)

9

c)

31

d)

35

88.

The pie chart shows the colours of 32 beads. How many green beads are there?

a)

90

b)

8

c)

11

d)

9

89.

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

90.

Edward drove 80 miles from his home to London.

He stopped and visited his friend Nicola on the way.

Here is the distance-time graph for the journey.

How long did Edward stop for?

a)

2 hours

b)

1 hour

c)

1.2 hours

d)

1.5 hours

Y8 Higher Review

Total questions: 90

Worksheet time: 6hrs 56mins

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