Free Printable Year 8 Mixed Topics Revision

1.

a)

4 ¹¹/₃₀

b)

2 ¹/₃₀

c)

2 ¹¹/₃₀

d)

4 ²/₁₁

2.

a)

4 ¹¹/₃₀

b)

2 ¹/₃₀

c)

2 ¹¹/₃₀

d)

4 ²/₁₁

3.

a)

8 ¹¹/₁₂

b)

2 ⁵/₁₂

c)

8 ¹/₁₂

d)

2 ¹/₁₂

4.

a)

8 ¹¹/₁₂

b)

2 ⁵/₁₂

c)

8 ¹/₁₂

d)

2 ¹/₁₂

5.

a)

8 ²³/₄₀

b)

4 ⁷/₄₀

c)

8 ²²/₄₀

d)

4 ²/₄₀

6.

a)

8 ²³/₄₀

b)

4 ⁷/₄₀

c)

8 ²²/₄₀

d)

4 ²/₄₀

7.

a)

6 ⁵/₁₂

b)

1 ¹¹/₁₂

c)

6 ⁵/₂₄

d)

2 ¹/₁₂

8.

a)

6 ⁵/₁₂

b)

1 ¹¹/₁₂

c)

6 ⁵/₂₄

d)

2 ¹/₁₂

9.

a)

2 ¹¹/₁₂

b)

1 ¹¹/₁₂

c)

9 ⁵/₁₂

d)

8 ¹⁷/₁₂

10.

a)

7 ¹/₂

b)

6 ¹/₂

c)

7 ⁵/₁₂

d)

6 ⁷/₁₂

11.

a)

6 ²⁰/₂₁

b)

7 ¹/₂₁

c)

11 ¹³/₂₁

d)

7 ¹³/₂₁

12.

a)

11 ³/₃₅

b)

10 ³⁸/₃₅

c)

4 ¹⁸/₃₅

d)

4 ²/₃₅

13.

$7\ +\ \left(+2\right)$ =

a)

-5

b)

-9

c)

5

d)

9

14.

$-6\ +\left(-15\right)\ =$

a)

-21

b)

-9

c)

9

d)

11

15.

$-5\ +\ 1\ =$

a)

-6

b)

-4

c)

4

d)

6

16.

$-18\ -17\ =$

a)

-35

b)

-25

c)

-1

d)

1

17.

$-\ 49\ \div7\ =$

a)

9

b)

7

c)

-7

d)

9

18.

$-8\ \times\ 13\ =$

a)

-104

b)

-94

c)

94

d)

104

19.

$-9\ \times\left(-12\right)\ =$

a)

-108

b)

-72

c)

72

d)

108

20.

$-144\ \div\ \left(-8\right)\ =$

a)

12

b)

18

c)

-16

d)

-18

21.

(-6) + (-8) =

a)

2

b)

14

c)

-2

d)

-14

22.

14 + (-9) =

a)

5

b)

-23

c)

-5

d)

23

23.

2 + (-11) =

a)

9

b)

-9

c)

13

d)

-13

24.

(-7) + 4 =

a)

3

b)

-3

c)

-11

d)

11

25.

(-2) + 5 =

a)

3

b)

-3

c)

-7

d)

7

26.

(-12) + (-7) =

a)

-5

b)

5

c)

-19

d)

19

27.

(-6) + 6 =

a)

-12

b)

12

c)

0

d)

-36

28.

(-6) + (-4) + 5 =

a)

5

b)

-7

c)

-5

d)

-15

29.

(-8) + (-3) + 15 =

a)

4

b)

-4

c)

-5

d)

-26

30.

(-14) - (-13) =

a)

1

b)

-27

c)

-1

d)

27

31.

(-8) - (-10) =

a)

2

b)

-2

c)

-18

d)

18

32.

(28) - (-7) =

a)

21

b)

-21

c)

-35

d)

35

33.

Which of the following is a square number?

a)

9

b)

12

c)

15

d)

20

34.

What is the square root of 49?

a)

7

b)

8

c)

6

d)

5

35.

What is the cube root of 8?

a)

2

b)

4

c)

1

d)

6

36.

√100

a)

15

b)

10

c)

11

d)

12

37.

2⁵ is the same as 2 x 5.

a)

True

b)

False

38.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

39.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

40.

Choose the answer.
5²

a)

10

b)

15

c)

20

d)

25

41.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

42.

Which of the following is a perfect square number?

a)

9

b)

12

c)

15

d)

20

43.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

44.

Calculate the area

a)

128cm²

b)

64cm²

c)

36cm²

d)

16cm²

45.

Calculate the area

a)

32cm²

b)

64cm²

c)

8cm²

d)

96cm²

46.

calculate the perimeter

a)

32mm²

b)

16mm

c)

64mm

d)

32mm

47.

calculate the area

a)

32

b)

32cm²

c)

40cm²

d)

64cm²

48.

what is the area?

a)

9600mm²

b)

19,200mm²

c)

other

49.

calculate the area

a)

60cm²

b)

120cm

c)

120cm²

d)

other

e)

60cm

50.

convert 3m² into cm²

a)

300,000 cm²

b)

300cm²

c)

30 cm²

d)

3,000,000 cm²

51.

Select each Radius in the image.

a)

$\overline{DA}$

b)

$\overline{DB}$

c)

$\overline{DC}$

d)

$\overline{BD}$

e)

$\overline{AC}$

52.

The radius is twice the diameter.

a)

Yes it is!!!

b)

No it's not!!

53.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Diameter

d)

Center

e)

Arc

54.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Arc

55.

What is the measurement around the outside of a circle called?

a)

Diameter

b)

Circumference

c)

Radius

d)

Center

56.

What is the diameter?

a)

5 in

b)

10 in

c)

3.14 in

d)

15.84 in

57.

What is the name of the blue region?

a)

A sector

b)

A segment

c)

A hooly bob

d)

A central angle

58.

What region of a circle is defined as the region bounded by two radii and their intercepted arc.

a)

sector

b)

segment

c)

arc

d)

angle

59.

What is the base and the height of the triangle in this composite shape?

a)

base: 8cm

height: 5 cm

b)

base: 5 cm

height: 8 cm

c)

base: 5 cm

height: 5 cm

d)

base: 1 cm

height: 2 cm

60.

What is the area of the composite figure?

a)

144 m²

b)

111 m²

c)

45 m²

d)

70 m²

61.

What is the area of the arrow?

a)

17 in²

b)

40 in²

c)

52 in²

d)

61 in²

62.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

63.

Determine the area of the composite shape

(a)

64.

Which flavour is least favourited?

a)

Blueberry(green)

b)

Apple(yellow)

c)

Raspberry(orange)

65.

What was the temperature at midnight?

a)

-1°C

b)

1°C

c)

12°C

d)

-2°C

66.

What type of correlation is shown?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

67.

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

68.

Describe the correlation in the graph shown.

a)

Weak Negative

b)

Weak Positive

c)

Strong Negative

d)

Strong Positive

69.

The diagram shows the ages of a group of people.

How many people are there in the group?

a)

44

b)

29

c)

12

d)

16

70.

The diagram shows the ages of a group of people.

How many people are over 25?

a)

7

b)

4

c)

9

d)

8

71.

The diagram shows the heights of Mr Pearce's plants

How many plants does Mr Pearce have?

a)

19

b)

20

c)

53

d)

25

72.

The diagram shows the heights of Mr Pearce's plants

What fraction of the flowers have a height under 20cm?

a)

$\frac{7}{19}$

b)

$\frac{8}{19}$

c)

$\frac{7}{20}$

d)

$\frac{2}{5}$

73.

Translate the sentence into an equation.
Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

74.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 - y + 5

75.

Match the following with a like term

a)

$5x^2$

1.

$8x^2$

b)

$x$

2.

$5x$

c)

$9x^3$

3.

$x^3$

d)

$5y$

4.

$y$

e)

$8y^2$

5.

$-5y^2$

76.

Label the following parts of the given algebraic expression

a)coefficient

b)variable

c)constant

d)terms

1

2

3

4

1)

2)

3)

4)

77.

Write an expression to represent the perimeter of the figure.

a)

6x-8

b)

$3x-4$

c)

$6x+12$

d)

$3x-16$

78.

Solve the equation: 3x - 7 = 8

a)

x = 5

b)

x = 2

c)

x = 10

d)

x = 3

79.

Solve the equation: 4a - 9 = 27

a)

a = 9

b)

a = 12

c)

a = 15

d)

a = 6

80.

Solve the equation: 5c - 3 = 22.

a)

c = 3

b)

c = 7

c)

c = 5

d)

c = 10

81.

Solve the equation: 3b + 8 = 23.

a)

b = 5

b)

b = 3

c)

b = 7

d)

b = 4

82.

Solve the equation: 6d + 2 = 20.

a)

d = 3

b)

d = 4

c)

d = 5

d)

d = 6

83.

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

84.

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 $m^2$

85.

Convert 40 UK pounds to Polish złoty

a)

200

b)

8

c)

150

d)

250

86.

Convert 5 miles to km

a)

8

b)

3

c)

6.5

d)

4.5

87.

Match the description to the graph:

"The car is stopped."

a)

b)

c)

88.

Segment A-B The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

89.

According to the graph how far does the person travel in the first 5 seconds?

a)

2 m

b)

10 m

c)

0 m

d)

5 m

90.

What is the speed of this object at 3 seconds?

a)

5 m/s

b)

45 m/s

c)

5 s/m

d)

45 s/m

91.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

92.

A student walks 2.0 km in a time of 30 minutes. The student then stop for 15 minutes to eat a snack then travels 1.0 km in 15 minutes.

a)

b)

c)

d)

93.

$\frac{3}{5}$ ▢ $\frac{2}{5}$

a)

>

b)

<

c)

=

94.

$\frac{1}{3}$ ▢ $\frac{4}{12}$

a)

>

b)

<

c)

=

95.

Order from smallest to largest $\frac{2}{7}$ , $\frac{5}{7}$ , $\frac{1}{7}$

a)

$\frac{2}{7}$ , $\frac{1}{7}$ , $\frac{5}{7}$

b)

$\frac{5}{7}$ , $\frac{2}{7}$ , $\frac{1}{7}$

c)

$\frac{1}{7}$ , $\frac{2}{7}$ , $\frac{5}{7}$

d)

$\frac{1}{7}$ , $\frac{5}{7}$ , $\frac{2}{7}$

96.

Order from smallest to largest $\frac{3}{10}$ , $\frac{1}{4}$ , $\frac{2}{5}$

a)

$\frac{1}{4}$ , $\frac{3}{10}$ , $\frac{2}{5}$

b)

$\frac{2}{5}$ , $\frac{1}{4}$ , $\frac{3}{10}$

c)

$\frac{3}{10}$ , $\frac{2}{5}$ , $\frac{1}{4}$

d)

$\frac{1}{4}$ , $\frac{2}{5}$ , $\frac{3}{10}$

97.

1/3 as a decimal :

a)

0.25

b)

0.75

c)

0.45

d)

0.33

98.

1/2 as a decimal :

a)

0.55

b)

0.20

c)

0.50

d)

0.80

99.

Use the shapes in the picture to write the ratio of STARS to SQUARES.

a)

3 to 2

b)

2 to 4

c)

4 to 2

d)

3 to 4

100.

Select TWO equivalent ratios for 8:10

a)

10:8

b)

4:5

c)

40:40

d)

80:100

101.

In a fruit bowl ³/₅ of the fruit are apples. The rest are oranges.

What is the ratio of apples to oranges?

a)

3 : 5

b)

5 : 3

c)

3 : 2

d)

3 : 8

102.

If there are 5 boys and 7 girls, write the ratio of girls to boys.

a)

5:7

b)

7:5

c)

5:12

d)

7:12

103.

What is the ratio of red apples to total fruits? Express your answer as a fraction.

104.

yellow ball : blue balls : red balls is an example of a (a) term ratio.

Choose from the below words

three

two

four

one

105.

Round 72,957 to the nearest thousand.

a)

70,000

b)

72,000

c)

72,900

d)

73,000

106.

Round 183,762 to the nearest ten thousands.

a)

183,000

b)

100,000

c)

200,000

d)

180,000

107.

Round the following number to 2 decimal places 45.157

a)

45.15

b)

45.16

c)

45

d)

45.26

108.

7.13 x 5.5

a)

39.215

b)

392.15

c)

3.9215

d)

3921.5

109.

The length of a ribbon is 28.5 inches. Raul cut the ribbon into 6 smaller pieces that were all the same length. What is the length of each smaller piece of ribbon?

a)

0.47 inches

b)

171 inches

c)

47.5 inches

d)

4.75 inches

110.

Make the percent to decimal.
25%

a)

2.5

b)

25

c)

0.025

d)

.0.25

111.

Make the percent to decimal.
7%

a)

.007

b)

0.07

c)

7

d)

70

112.

What is the percent of the shaded region in the figure?

a)

60%

b)

12%

c)

40%

d)

8%

113.

Change this percent to a simplified fraction: 30%

a)

3/10

b)

1/3

c)

30/100

d)

10/3

114.

What is the percent represented in the model?

a)

20%

b)

2%

c)

.2%

d)

0.02%

115.

Numbers 1 and 5 are examples of________.

a)

consecutive angles

b)

corresponding angles

c)

alternate angles

116.

What are corresponding angles?

a)

Angles whose sum measures 180 degrees

b)

Angles whose sum measures 90 degrees

c)

Two angles in the same position when parallel lines are cut by a transversal

d)

The angles opposite of each other when two lines cross.

117.

2. Identify the type of angle

a)

Adjacent angles

b)

Vertical (opposite angles)

c)

Complementary angles

118.

6. What is the value of x ?

a)

138

b)

42

c)

100

119.

7. What is the value of x ?

a)

103

b)

100

c)

77

120.

11. Find the value of x ?

a)

180

b)

135

c)

45

121.

13. Find b ?

a)

133

b)

180

c)

47

122.

14. Find b ?

a)

61

b)

110

c)

119

123.

a)

∠a = 60°

b)

∠a = 50°

c)

∠a = 10°

d)

∠a = 55°

124.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

125.

What is the sum of a Quadrilaterals interior angles?

a)

180

b)

360

c)

400

d)

240

126.

Find the value of the missing angle a...

a)

76

b)

284

c)

294

d)

66

127.

Find the value of the missing angle a...

a)

81

b)

71

c)

279

d)

289

128.

Find the value of the missing angle a...

a)

50

b)

60

c)

55

d)

65

129.

Solve for x.

a)

4

b)

6

c)

7

d)

-10

130.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

131.

a)

A

b)

B

c)

C

d)

D

132.

Calculate the angle. Clue:- 80°+60°+? = 180°

a)

40°

b)

180°

c)

90°

d)

360°

133.

Calculate the angle. Clue:- 75°+80° + ? = 180°

a)

55°

b)

25°

c)

45°

d)

180°

134.

What type of triangle is this ?

a)

Scalene

b)

right angle

c)

eqilateral

d)

Isosceles

135.

Calculate the angle

a)

75°, because 75° + 75° + 30° = 180°

b)

Don't click this

c)

Don't click this

d)

Don't click this

136.

Calculate angle x of this isosceles triangle. Clue:- 26°+26°+? =180°

a)

180°

b)

52°

c)

26°

d)

128°

137.

Calculate the angle. (Take your time).

a)

80°

b)

45°

c)

55°

d)

135°

138.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

139.

What is the sum of all the exterior angles of an octagon?

a)

8

b)

360

c)

40

d)

100

140.

(a)

141.

Select the shapes that are regular.

a)

b)

c)

d)

142.

What is the sum of the measure of the angles?

a)

360

b)

540

c)

720

d)

900

143.

What is the measure of an exterior angle of a regular 20-gon?

(a)

144.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

145.

What is the formula for the sum of the interior angles of a polygon?

a)

S = (n-2)

b)

S = (n-2) 180

c)

S = 360 / n

d)

S = (n-2) 360

146.

Find the value of X

a)

94

b)

25

c)

36

d)

180

147.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

148.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

149.

What is the y-intercept of the line
y = 4x - 6?

a)

4

b)

4x

c)

6

d)

-6

150.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

151.

What is the y-intercept of this line?

a)

2

b)

3

c)

-3y

d)

-3

152.

Which of these lines is
y = 5?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

153.

Which of these lines has a gradient of ½?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

154.

What is the gradient of this line?

a)

Undefined

b)

0

c)

1

d)

-1

155.

What is the equation of this line?

a)

y = -1x+3

b)

y = 4x+3

c)

y =1/4x+3

d)

y = -4x+3

156.

What gradient is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

157.

What gradient is represented here

a)

Positive

b)

negative

c)

undefined

d)

zero

158.

What is the gradient of the following slope

a)

-2

b)

-1/2

c)

2

d)

-1

159.

What is the gradient of this line

a)

4

b)

4/5

c)

-2

d)

-1/2

160.

Which coloured line represents the line x = -2

a)

Red

b)

Green

c)

Blue

d)

Purple

161.

Which coloured line represents the line x = 3

a)

Red

b)

Green

c)

Blue

d)

Purple

162.

Which coloured line represents the line y = 4

a)

Red

b)

Green

c)

Blue

d)

Purple

163.

If 15 bricks weigh 150kg.

What would 8 bricks weigh?

(a)

164.

Sam earns £21 for 3 hours work.

How much would he earn if he worked 5 hours?

(a)

165.

How much tapioca flour will you need for 2 cups of bubble tea?

a)

300 g

b)

200 g

c)

150 g

d)

294 g

166.

A vehicle can travel 132 km with 12 litres of petrol.

What is the petrol consumption in km/litre?

a)

132

b)

12

c)

11

d)

$\frac{1}{11}$

167.

Simplify $2x+5x-8x+4x$

a)

$21x$

b)

$3x$

c)

$5x$

d)

$12x$

168.

Solve the equation $2x-5=12$

a)

$17$

b)

$\frac{17}{2}$

c)

$7$

d)

$\frac{7}{2}$

169.

How would the fraction 4/10 be written as a decimal?

a)

4.10

b)

.4

c)

.04

d)

40

170.

Use a factor tree to find the prime factorization of 60

a)

5x3x2x2

b)

7x6x5

c)

5x3x3x2

d)

7x5x4

171.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

172.

Use a factor tree to find the prime factorization of 72

a)

2x2x2x3x3

b)

4x3x3x2

c)

4x2x2x2x2

173.

What is the prime factorization of 18?

a)

9 x 2

b)

3 x 2²

c)

3² x 2

d)

3³

174.

$3\left(x-2\right)=$

(a)

175.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

176.

Level 1

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

177.

Level 3 Which table of values can be defined by y=x+5?

a)

a

b)

b

c)

c

178.

If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

179.

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

180.

The diagram shows the ages of a group of people.

How many people are there in the group?

a)

44

b)

29

c)

12

d)

16

181.

The diagram shows the ages of a group of people.

How many people are over 25?

a)

7

b)

4

c)

9

d)

8

182.

The diagram shows the heights of Mr Pearce's plants

What fraction of the flowers have a height under 20cm?

a)

$\frac{7}{19}$

b)

$\frac{8}{19}$

c)

$\frac{7}{20}$

d)

$\frac{2}{5}$

Year 8 Mixed Topics Revision

Total questions: 182

Worksheet time: 7hrs 11mins

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