Free Printable Y8 FYE Revision 2025

1.

Simplify: a³ × a⁵

a)

a²

b)

a⁸

c)

a¹⁵

d)

a⁵

2.

Simplify: (x²)⁴

a)

x⁶

b)

x²

c)

x¹⁰

d)

x⁸

3.

Simplify: (2y)³

a)

4y³

b)

6y³

c)

8y³

d)

2y⁶

4.

Simplify: 5⁰

a)

1.5

b)

0

c)

5

d)

1

5.

Simplify: m^-2 × m³

a)

m

b)

m⁵

c)

m¹

d)

m^-1

6.

Simplify: (3a²)⁴

a)

12a²

b)

27a⁴

c)

9a¹⁰

d)

81a⁸

7.

Simplify: x^-3 ÷ x^-1

a)

x²

b)

x^-2

c)

x^-4

d)

x^-1

8.

Simplify: (2x³ × 3x²)

a)

6x⁶

b)

6x⁴

c)

5x⁵

d)

6x⁵

9.

Find the value of 4^-2 × 4⁵

a)

64

b)

16

c)

256

d)

20

10.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^m x aⁿ

b)

a^{m x n}

c)

a^m+n

d)

a^men

11.

Simplify: (3x²y³)⁰

a)

1

b)

0

c)

3

d)

3x²y³

12.

Simplify: 42m¹² ÷ 7m⁶

a)

6m⁶

b)

6m²

c)

35m⁶

d)

35m²

13.

Simplify: 4x²y × 9xy²

a)

36x³y³

b)

13x²y²

c)

36xy³

d)

13x³y³

14.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

15.

$\frac{3}{4}\times\ \frac{1}{2}$

a)

$\frac{3}{6}$

b)

$\frac{4}{6}$

c)

$\frac{3}{8}$

d)

$\frac{1}{2}$

16.

$\frac{1}{2}of\ 16$

a)

$16$

b)

$8$

c)

$16$

d)

$\frac{2}{5}$

17.

$Divide\ \frac{1}{6}\ by\ \frac{1}{2}.$

a)

$\frac{1}{12}$

b)

$\frac{1}{3}$

c)

$3$

d)

$12$

18.

What is the reciprocal of 2/3?

a)

2/3

b)

1/4

c)

3/2

d)

4/6

19.

A furniture maker used $\frac{1}{2}$ of a can of paint to paint 5 chairs. He used the same amount of paint for each chair. How many cans of paint did he use for each chair?

a)

$\frac{1}{10}$ cans

b)

10 cans

c)

$\frac{2}{10}$ cans

d)

$\frac{1}{5}$ cans

20.

$Find\ \frac{1}{3}\div\frac{5}{6}$

a)

$\frac{2}{5}$

b)

$\frac{1}{5}$

c)

$\frac{5}{18}$

d)

$\frac{15}{6}$

21.

$find\ \frac{2}{5}\times5\frac{1}{4}$

a)

$\frac{20}{10}$

b)

$\frac{21}{10}$

c)

$\frac{22}{10}$

d)

$\frac{21}{20}$

22.

Find the n^th term of the following sequence...

8, 13, 18, 23...

a)

5n+3

b)

3n+5

c)

n+5

d)

n+3

23.

Find the n^th term of the following sequence...

2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

24.

Find the n^th term of the following sequence...

7, 16, 25, 34...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

25.

Generate the first 4 terms of the sequence with the following n^th term rule...

4n - 1

a)

4, 3, 2, 1...

b)

3, 7, 11, 15...

c)

5, 9, 13, 17...

d)

4, 5, 6, 7...

26.

Generate the first 4 terms of the sequence with the following n^th term rule...

8n - 4

a)

4, 12, 20, 28...

b)

4, 8, 12, 16...

c)

12, 20, 28, 36...

d)

12, 16, 20, 24...

27.

What is the 20th term in the sequence...

9n - 4

a)

176

b)

184

c)

108

d)

180

28.

Given the nth term is 3n+1 what is the 10th term?

a)

29

b)

40

c)

33

d)

31

29.

15, 8, 1, -6, f, -20

what the answer of f?

(a)

30.

what the answer of d?

-86, -92, -98, d

(a)

31.

what the answer of e?

55, 58, 61, e

(a)

32.

What is the 6th term in the following sequence?
11, 15, 19, 23, ___, _?_

a)

30

b)

27

c)

31

d)

32

33.

Find the first five terms of a sequence if the nth term is given by $3n^2\ -\ 1$

a)

2, 11, 25, 43, 68

b)

2, 5, 8, 11, 14

c)

8, 35, 80, 143, 224

d)

2, 11, 26, 47, 74

34.

Work out an expression for the $nth$ term for each sequence.

-2,\ -7,\ -12,\ -17,\ ...

a)

$-2n+5$

b)

$n-5$

c)

$5n-3$

d)

$−5n+3$

35.

What is 78.5 rounded to one significant figure?

a)

79

b)

78.5

c)

70

d)

80

36.

Round off 1,296,717 to 3 significant figures

a)

1,290,000

b)

1,296,000

c)

1,297,000

d)

1,300,000

37.

Round off 509.96 to 4 significant figures

a)

509.9

b)

509.0

c)

510.0

d)

510

38.

What is 0.658 rounded to 1 significant figure?

a)

0

b)

0.66

c)

0.7

d)

0.658

39.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

40.

What is 375.6523 to four significant figures.

a)

375.0

b)

375.00

c)

375.7

d)

375.6

41.

What is 7.555 rounded to two significant figures.

a)

7.6

b)

7.5

c)

70

d)

76

42.

Calculate the gradient of the line

a)

$-\frac{4}{3}$

b)

$\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

43.

Determine the y-intercept for the graph

a)

2

b)

-2

c)

3

d)

-3

44.

Which of the following linear equations is true for the graph?

a)

$y=2x+2$

b)

$y=-2x+2$

c)

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

d)

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

45.

Find the gradient (slope).

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

46.

What is the gradient (slope) of the line y= -4x + 10?

a)

10

b)

4

c)

-4

d)

-10

47.

What is the y-intercept of the line y = 4x - 10?

a)

4

b)

-4

c)

10

d)

-10

48.

What is the gradient (slope) of line 3x - y = 18

a)

6

b)

-6

c)

3

d)

-3

49.

The slope of the line is...

a)

3

b)

-3

c)

0

d)

undefined

50.

The y-intercept of the line is...

a)

-1

b)

rise over run

c)

There is no y-intercept!!!

d)

zero

51.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

52.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

53.

What is the y intercept?
y = 2x - 3

a)

3

b)

-3

c)

1

d)

2

54.

Which runner is faster?

a)

Runner A

b)

Runner B

c)

Mr. Andrew

d)

Mr. Wen Kai

55.

What is the volume of the prism?

a)

60 $cm^3$

b)

90 $cm^3$

c)

120 $cm^3$

d)

150 $cm^3$

56.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

c)

74 cm²

d)

30 cm²

57.

Find the Volume of this triangular prism.

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

58.

Find the surface area of the rectangular prism.

a)

94 $cm^2$

b)

60 $cm^2$

c)

12 $cm^2$

d)

19 $cm^2$

59.

Find the volume of the figure. Round to the nearest whole number.

a)

1,944 cm³

b)

108 cm³

c)

972 cm³

d)

216 cm³

60.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

61.

What 3D solid does this net create?

a)

Triangular Prism

b)

Triangular Pyramid

c)

Rectangular Pyramid

d)

Square Prism

62.

How many Faces does a Triangular Prism have?

a)

3

b)

6

c)

9

d)

5

63.

Find the total surface area of the figure shown.

a)

120 cm²

b)

216 cm²

c)

130 cm²

d)

168 cm²

64.

Solve the following equation,
3x + 6 = 21

a)

x = 9

b)

x = 5

c)

x = 15

d)

x = 27

65.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

66.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

67.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

68.

Solve for x.

a)

55

b)

60

c)

15

d)

35

69.

Solve for x:
8x + 2 + 3x + 5 = x + 12

a)

-1/2

b)

2

c)

-2

d)

1/2

70.

Solve -20 = -4x - 6x

a)

x = -2

b)

x = 10

c)

x = 2

d)

x = -10

71.

a)

-49

b)

153/5

c)

49

d)

85

72.

Solve for x:
7 - 2(10x + 1) = 25

a)

2/5

b)

2

c)

1

d)

-1

73.

Which symbol represents 'less than or equal to'?

a)

<

b)

>

c)

≤

d)

≥

74.

Choose the correct equation following the statement given.
The volume , t litre of a water tank is less than 24 litres

a)

t > 24

b)

l < 24

c)

t < 24

d)

l > 24

75.

a)

A)

b)

B)

c)

C)

d)

D)

76.

a)

A)

b)

B)

c)

C)

d)

D)

77.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

78.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

79.

Pick the correct letter for the graph of:

6 > x

Hint: You need to REWRITE the inequality with the variable first.

a)

A

b)

B

c)

C

d)

D

80.

Which inequality symbol has a open circle?

a)

<

b)

≤

81.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

82.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

83.

The diagram above represents two linear inequalities on a number line.

Which of the solution below represent the common values of both of the inequalities?

a)

$-1<x<3$

b)

$-1\le x<3$

c)

$-1<x\le3$

d)

$-1\le x\le3$

84.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

85.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

86.

What is the midpoint between (3, -1) and (8, -6)

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

87.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

88.

Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (1.5, 1).

a)

(5, 7)

b)

(-2, 9)

c)

(9, -2)

d)

(1.5, -7)

89.

Find the midpoint of an imaginary diagonal AC of ABCD.

a)

(1, 3)

b)

(5, 4)

c)

(6, 4)

d)

(0, 4)

90.

The triangle sum theorem states that the sum of the interior angles of all triangles equals ________.

a)

100*

b)

180*

c)

90*

d)

360*

91.

Calculate the value of $y$ .

a)

$50\degree$

b)

$25\degree$

c)

$94\degree$

d)

$36\degree$

92.

In the diagram, PQR is an isosceles triangle. PS and QR are parallel lines. Find the value of x.

a)

$115\degree$

b)

$65\degree$

c)

$50\degree$

d)

$130\degree$

93.

In the diagram, PQS is a right-angled triangle. QRS is an isosceles triangle and RST is a straight line. Find the value of x.

a)

$60\degree$

b)

$36\degree$

c)

$144\degree$

d)

$72\degree$

94.

In the diagram, QRS is a straight line. Find the values of x and y.

a)

$x=75\degree\ ;\ y=23\degree$

b)

$x=23\degree\ ;\ y=75\degree$

c)

$x=105\degree\ ;\ y=23\degree$

d)

$x=150\degree\ ;\ y\ =75\degree$

95.

In the diagram, PQR, SQT and PTU are straight lines. Find the values of x and y.

a)

$x=76\degree\ ;\ y=41\degree$

b)

$x=139\degree\ ;\ y=76\degree$

c)

$x=76\degree\ ;\ y=139\degree$

d)

$x=152\degree\ ;\ y=139\degree$

96.

Calculate the value of $x$ .

a)

$29\degree$

b)

$31\degree$

c)

$119\degree$

d)

$131\degree$

97.

What are Bearings in maths?

a)

A bearing is an angle, measured clockwise from the north direction.

b)

A bearing is an angle, measured counter - clockwise from the north direction.

c)

A bearing is an angle, measured clockwise from the east direction.

d)

A bearing is an angle, measured counter - clockwise from the east direction.

e)

Any normal angle

98.

Bearings are measured from North, Clockwise, using 3 digits

a)

True

b)

Flase

99.

What is
the correct bearing?

a)

30

b)

330

c)

030

d)

60

100.

Write the bearings of A from O

a)

125

b)

055

c)

035

d)

305

101.

Choose the correct true bearing

a)

75

b)

255

c)

195

d)

075

102.

What is the bearing of B from A

a)

025

b)

205

c)

25

d)

155

103.

What is the bearing of A from B

a)

025

b)

205

c)

25

d)

155

104.

What is
the Bearing
of A
from B?

a)

45

b)

130

c)

045

d)

135

105.

What is
the Bearing
of A
from C?

a)

315

b)

225

c)

045

d)

135

106.

Find the bearing of A from B

a)

250^o

b)

110^o

c)

290^o

d)

070^o

107.

Find the bearing of A from B

a)

130^o

b)

050^o

c)

230^o

d)

290^o

108.

Segment A-B The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

109.

In which of the following graphs below did one runner overtake (run past) the other?

a)

b)

c)

d)

110.

The graph shows Ashley riding her bike to Maria's house.
What was occurring from point B to point C?

a)

She was increasing her speed.

b)

She stopped for 4 minutes

c)

She was decreasing in speed

111.

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

112.

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 far was Edward from home when he visited Nicola?

a)

30 miles

b)

40 miles

c)

10 miles

d)

45 miles

113.

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

114.

Ellie cycled from her home to her friendʼs house.

She stayed at her friendʼs house and then traveled home.

At what time did Ellie leave home?

a)

9:05

b)

9:02

c)

9:00

d)

9:10

115.

Anne cycles from Bristol to Salisbury.

The diagram shows the distance-time graph of her journey.

How far from Bristol is Anne at 8:00?

a)

15 miles

b)

20 miles

c)

10 miles

d)

40 miles

116.

How is triangle ABC being translated to triangle A'B'C'?

a)

8 units to the left and 3 units upward

b)

4 units to the left and 9 units upward

c)

8 units to the right and 3 units downward

d)

4 units to the right and 9 units downward

117.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

118.

Identify the transformation.

a)

Reflection in the y-axis

b)

Rotation of $90\degree$ anticlockwise

c)

Translation 5 units left, 1 unit upward.

d)

Translation 5 units to the right and 1 unit downward

119.

Which of the following vectors describes the translation: 2 right, 5 down?

a)

b)

c)

d)

120.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

121.

Object P moves 4 units to the right and 3 units downwards.

a)

$\left(\frac{4}{3}\right)$

b)

$\left(\frac{3}{4}\right)$

c)

$\left(\frac{4}{-3}\right)$

d)

$\left(\frac{-3}{4}\right)$

122.

Find the coordinates of image for point A(5, 1) which undergoes translation to the left 3 units and 2 unit upwards.

a)

(2, 2)

b)

(3, 3)

c)

(2, 3)

d)

(3, 2)

123.

Find the scale factor of the enlargement from Y to X

a)

0.5

b)

3

c)

2

d)

4

124.

Find the scale factor of the enlargement from R to T

a)

2

b)

1

c)

3

d)

0.5

125.

Describe the transformation that takes the yellow shape to the blue shape

a)

Enlargement

Scale Factor: 4

Centre: (0,0)

b)

Enlargement

Scale Factor: ¹/₄

Centre: (0,0)

c)

Enlargement

Scale Factor: ¹/₄

Centre: (2,0)

d)

Enlargement

Scale Factor: -4

Centre: (0,0)

126.

What ratio is equivalent to 3:5

a)

30 : 500

b)

9 : 15

c)

13 : 1 5

d)

1 : 2

127.

Determine the ratio of the following
'30 minutes to 2 hours'

a)

30 : 2

b)

1 : 4

c)

1 : 6

d)

None of the above

128.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

129.

Ellie made $45 babysitting for 6 hours. How much does she make per hour?

a)

$45 per hour

b)

$7.50 per hour

c)

$2.70 per hour

d)

$6.70 per hour

130.

Apples sell 4 for $2.40. How much does 1 apple cost?

a)

$0.60

b)

$0.40

c)

$2.80

d)

$1.40

131.

Split £35 into the ratio 5:2

a)

£25 : £10

b)

£175 : £70

c)

£10 : £25

d)

£35 : £15

132.

Split £40 into the ratio 3:7

a)

£28 : £12

b)

£30 : £70

c)

£30 : £10

d)

£12 : £28

133.

Share 88 into the ratio 2 : 4 : 5

(a)

134.

Share 63 into the ratio 2 : 3 : 4

(a)

135.

What multiplier represents a 10% increase

a)

0.1

b)

10%

c)

1.10

d)

1.1

136.

Write down the multiplier used to calculate a 15% increase.

a)

15

b)

1.5

c)

1.15

d)

1.015

137.

What multiplier represents a 10% decrease?

a)

0.1

b)

0.9

c)

1.1

d)

1.09

138.

What multiplier represents a 30% decrease?

a)

0.03

b)

0.7

c)

1.7

d)

0.3

139.

What multiplier represents a 100% increase?

a)

1

b)

2

c)

0.1

d)

0.2

140.

What multiplier represents a 230% increase?

a)

3.3

b)

2.3

c)

1.3

d)

23

141.

Write down the multiplier used to calculate a 45% decrease.

a)

0.45

b)

0.55

c)

45

d)

55

142.

Write down the multiplier used to calculate a 8% decrease.

a)

0.8

b)

0.08

c)

9.2

d)

0.92

143.

Increase £350 by 12%...

a)

£392

b)

£308

c)

£42

d)

£408

144.

Increase £520 by 26%...

a)

£655.20

b)

£790.40

c)

£384.80

d)

£582.40

145.

Decrease £140 by 22%...

a)

£109.20

b)

£100.80

c)

£30.80

d)

£39.20

146.

Decrease £2200 by 8%...

a)

£2024

b)

£1980

c)

£2002

d)

£2376

147.

Decrease £120 by 22.5%...

a)

£93

b)

£27

c)

£90

d)

£87

148.

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

149.

The diagram shows the ages of a group of people.

How old is the youngest person in the group?

a)

4

b)

10

c)

14

d)

1

150.

The diagram shows the ages of a group of people.

How many people are over 25?

a)

7

b)

4

c)

9

d)

8

151.

The diagram shows the heights of Mr Pearce's plants

How many plants have a height of 14cm?

a)

1

b)

4

c)

5

d)

3

152.

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)

$\frac{2}{5}$

153.

The diagram shows times taken for 15 people to complete a jigsaw.

What is the modal time taken?

a)

57 minutes

b)

7 minutes

c)

50 minutes

d)

3 minutes

154.

The diagram shows times taken for 15 people to complete a jigsaw.

What is the median time taken?

a)

57 minutes

b)

58 minutes

c)

57.5 minutes

d)

54 minutes

155.

The diagram shows times taken for 15 people to complete a jigsaw.

What is the range of the times taken?

a)

36 minutes

b)

34 minutes

c)

44 minutes

d)

46 minutes

156.

The diagram shows times taken for 15 people to complete a jigsaw.

How many people took longer than an hour to complete it?

a)

5

b)

4

c)

6

d)

7

157.

Data on a stem-and-leaf plot is listed in what order.

a)

Greatest to Least

b)

Least to Greatest

158.

What is the lowest weight of a pen?

a)

4.3

b)

4

c)

43

d)

435

159.

This pie chart shows the colour of hats that Tom owns. Which colour hat does he own the second most of?

a)

red

b)

blue

c)

green

d)

yellow

160.

This pie chart shows the colour of hats that Tim owns. What fraction of Tim's hats are blue?

a)

$\frac{1}{4}$

b)

$25$

c)

$\frac{1}{3}$

d)

impossible to say

161.

The comparative pie charts show the membership of Seaton Squash club in 1980 and 1990. What happened to the total number of Senior Male members in that time?

a)

Increased

b)

Decreased

c)

Stayed the same

162.

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

163.

The pie chart shows colours of motorbikes in a shop. There are 20 more blue bikes than white. How many bikes are there altogether?

a)

54

b)

160

c)

40

d)

80

164.

90 yellow sheep are tested for a disease. How many sheep have the disease?

a)

140

b)

30

c)

70

d)

35

165.

Rearrange y = 2x +1 to make x the subject

a)

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

b)

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

c)

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

166.

Rearrange the following equation to make $r$ the subject

p=3r-5

a)

$r=\frac{p+5}{3}$

b)

$r=p+5\div3$

c)

$r=\frac{p-5}{3}$

d)

$r=p-5\div3$

167.

c = 4x +5y

Make x the subject of the formula

a)

$x\ =\ \frac{c-f}{4}$

b)

$x\ =\ \frac{c-5}{4}$

c)

$x\ =\ \frac{c-5y}{4}$

d)

$x=\ c-5y$

168.

Solve $S=3F-24$ for $F$ .

a)

$F=\frac{S+24}{3}$

b)

$F=\frac{S}{3}+24$

c)

$F=3S+24$

d)

$F=3\left(S+24\right)$

169.

Solve the formula for p.
$I\ =\ prt$

a)

$p\ =\ I\ -\ rt$

b)

$p\ =\ \frac{I}{rt}$

c)

$p\ =\ Irt$

d)

$p\ =\ \frac{rt}{I}$

170.

Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a² + c²

a)

22

b)

34

c)

68

d)

43

171.

If y = 7, find the value of 2(y+4).

a)

11

b)

22

c)

20

d)

12

172.

What is the value of 7a + 3 if a = -2?

a)

-11

b)

11

c)

10

d)

-10

173.

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

a)

15

b)

-15

c)

14

d)

-14

174.

If $a=-3$ then $2a^2-3a=$

(a)

175.

Given $x=5$ and $y=-2$

Evaluate $2x-5y$

(a)

176.

$if\ p=12,\ then\ p+\ \frac{3p}{4}=$

a)

48

b)

36

c)

15

d)

21

177.

$if\ n=20,\ then\ 2\left(5-n\right)+20=$

a)

-10

b)

-30

c)

15

d)

45

178.

$if\ k=4,\ then\ \frac{k^2-6}{5}=$

a)

-2

b)

2

c)

1/2

d)

24

179.

$if\ g=-2,\ then\ 3\left(4+g\right)=$

a)

18

b)

12

c)

6

d)

-6

180.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

2² x 3²

d)

2² x 3

181.

Find the prime factorization of 40

a)

2 x 5 x 2

b)

2 x 20

c)

5 x 8

d)

2 x 2 x 2 x 5

182.

Which of these numbers is NOT prime?

a)

5

b)

7

c)

1

d)

2

183.

Express 60 as a product of its prime factors.

a)

$4\ \times\ 15$

b)

$2^3\ \times\ 3^2$

c)

$\sqrt{9}\ \times\ \sqrt{16}\ \times\ \sqrt{25}$

d)

$2^2\ \times\ 3\ \times\ 5$

e)

$3600^{\frac{1}{2}}$

184.

Express 150 as a product of its prime factors.

a)

$6\ \times\ 25$

b)

$2\ \times\ 3\ \times\ 5^2$

c)

$5^2\ \times\ 7$

d)

$2^2\ \times\ 3^2\ \times\ 5$

e)

$22500^{\frac{1}{2}}$

185.

What is the missing factor?

a)

3

b)

5

c)

6

d)

7

186.

Find the HCF of 45 and 60

a)

5

b)

15

c)

10

d)

9

187.

Find the HCF of 30 and 36

a)

2

b)

3

c)

4

d)

6

188.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

189.

find the lowest common multiple of 120 and 150

a)

600

b)

350

c)

900

d)

500

190.

find the lowest common multiple of 24 and 36

a)

94

b)

64

c)

58

d)

72

191.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

192.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

193.

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

a)

HCF

b)

LCM

194.

Find HCF of 2ab² and 6ab

a)

2ab

b)

6ab

195.

Find HCF of 6k, 15ks, and 30sr

a)

3

b)

3ks

c)

5

d)

5sr

196.

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

a)

1

b)

2

c)

3

d)

4

197.

If Juanita runs every third day and swims every fifth day, what is the first day that she will both run and swim again?

a)

5

b)

15

c)

45

d)

30

198.

How many lines of symmetry are there on a parallelogram?

a)

0

b)

1

c)

2

d)

4

199.

How many lines of symmetry are there on a regular pentagon?

a)

3

b)

4

c)

5

d)

6

200.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

Y8 FYE Revision 2025

Total questions: 200

Worksheet time: 8hrs 20mins

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