Free Printable Y8 MYE Revision 2026 - Algebra, Angles, Geometry, Data

1.

Simplify the expression: $5x + 3y - 2x + 7y - 4$

a)

$3x + 10y - 4$

b)

$3x + 10y + 4$

c)

$7x + 10y - 4$

d)

$3x + 4y - 4$

2.

Expand and simplify: $2(3x + 4) - (x - 5)$

a)

$5x + 13$

b)

$6x + 13$

c)

$5x + 3$

d)

$7x + 3$

3.

Expand and simplify: $3(x - 2) + 4(2x + 1)$

a)

$11x - 2$

b)

$11x + 1$

c)

$11x - 2$

d)

$11x + 4$

4.

Simplify: $2m + 5n - 3m + 4n - 7$

a)

$-m + 9n - 7$

b)

$-m + 9n + 7$

c)

$5m + 9n - 7$

d)

$-m + n - 7$

5.

Expand and simplify: $4(2x - 3) - 3(x + 5)$

a)

$5x - 27$

b)

$8x - 9$

c)

$5x - 17$

d)

$8x - 24$

6.

Simplify: $5x - 2(3x - 4) + 7$

a)

$-x + 15$

b)

$-x + 7$

c)

$x + 15$

d)

$x + 7$

7.

Expand and simplify: $3(2a + 1) - 2(a - 4)$

a)

$4a + 11$

b)

$6a + 11$

c)

$4a - 5$

d)

$8a + 5$

8.

Expand and simplify: $2(4z - 3) - 5(z + 2)$

a)

$3z - 16$

b)

$3z + 16$

c)

$-3z - 16$

d)

$-3z + 16$

9.

Expand and simplify: $5(m + 2) - 3(m - 4)$

a)

$2m + 22$

b)

$8m + 22$

c)

$2m - 22$

d)

$8m - 22$

10.

Expand and simplify: $3(x + 5) + 2(x - 4)$

a)

$5x + 7$

b)

$5x + 23$

c)

$5x - 7$

d)

$5x + 1$

11.

Expand and simplify: $2(5x - 3) + 4(x + 2)$

a)

$14x + 2$

b)

$13x + 2$

c)

$14x - 6$

d)

$13x - 6$

12.

Expand and simplify: $4(a + 6) - 2(a - 3)$

a)

$2a + 30$

b)

$6a + 30$

c)

$2a + 18$

d)

$6a + 18$

13.

Rearrange so that x is the subject $4x\ -t=a$

a)

$x=a+t-4$

b)

$x\ =\ a\ +t$

c)

$x\ =\ \frac{a+t}{4}$

d)

$x=\frac{t-a}{4}$

14.

Rearrange so that x is the subject $\frac{x}{p^3}=1$

a)

$x=\frac{1}{p^3}$

b)

$x=p^3$

c)

$x=\frac{p}{3}$

d)

$x=3p$

15.

Rearrange so that d is the subject $C=\pi d$

a)

$\frac{C}{\pi}=d$

b)

$d=C\pi$

c)

$d=\frac{\pi}{C}$

d)

$d=C-\pi$

16.

Rearrange so that $v$ is the subject $F=BQv$

a)

$v=\frac{BQ}{F}$

b)

$v=\frac{F}{BQ}$

c)

$v=F-BQ$

d)

$v=FBQ$

17.

$s=\frac{\left(u+v\right)t}{2}$ Rearrange so that u is the subject

a)

$u=2s-\frac{v}{t}$

b)

$u=\frac{2s-t}{v}$

c)

$u=\frac{s}{t}+v$

d)

$u=\frac{2s}{t}-v$

18.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

19.

Solve the formula for x.

y = mx + b

a)

$x\ =\ y\ -b\ +\ m$

b)

$x\ =\ \frac{y\ +\ b}{m}$

c)

$x\ =\ \frac{y\ -\ b}{m}$

d)

$x\ =\ y\ -\ m\ -\ b$

20.

Factor:

10x³-15x

a)

$x(10x²-15)$

b)

$5x(2x²-3)$

c)

$5(2x³-3x)$

d)

$5x²(10x-3)$

21.

Factor: $8m^4+6m^3-m$

a)

$m^2\left(8m^3+6m^2-1\right)$

b)

$m\left(m^2+2m-1\right)$

c)

$m\left(8m^3+6m^2-1\right)$

d)

$m^2\left(8m^4+6m^2-m\right)$

22.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

23.

Factor:
p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

p²(1-14)

d)

p(p - 14)

24.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

25.

a)

4y + 6

b)

2y + 3

c)

10y

d)

5y

26.

a)

33st

b)

33

c)

9t + 24s

d)

s + t = 9 + 24

27.

Dane is y years old.

Becky is 6 years older than Dane.

Freya is 2 years younger than Becky.

Which algebraic expression represents how old Freya is?

a)

y + 2

b)

y + 4

c)

y + 6

d)

y + 8

28.

The sum of two consecutive integers is 25. Which of the following represents the correct algebraic equation for this situation?

a)

𝑥 + 𝑦 = 25

b)

x − y = 25

c)

x + ( x + 1 ) = 25

d)

2x = 25

29.

The total cost of purchasing x notebooks and y pens is $15. If each notebook costs $2 and each pen costs $1, what is the correct equation for this situation?

a)

2x + y = 15

b)

x + 2y = 15

c)

2x + 2y = 15

d)

x + y = 15

30.

Find a formula for average A of three numbers a, b and c.

a)

$A\ =\ a\ +\ b\ +\ c$

b)

$A=\ \frac{abc}{3}$

c)

$A\ =\frac{a+b\ +c}{3}$

d)

A = 3(a+b+c)

31.

The total mass M, in grams, of p notepads and q books is given by M = 25p + 120q.

There are 6 notepads and twice as many books. Find the total mass.

a)

390g

b)

1590g

c)

770g

d)

1020g

32.

A ___ is a large group that includes everything being studied.

a)

Sample

b)

Stratified Sampling Method

c)

Population

d)

Census

33.

A ___ is a small portion of the population used to gather data from.

a)

Group

b)

Sample

c)

Population

d)

Bias

34.

Questionnaire is a _____

a)

Research method

b)

Measurement technique

c)

Data collection method

d)

Sampling technique

35.

A survey is a _____

a)

Research method

b)

Measurement technique

c)

Data collection method

d)

Sampling technique

36.

A website is an example of primary or secondary data collection methods?

a)

Primary

b)

Secondary

37.

Secondary collection methods use data and information that has

a)

belongs to someone else.

b)

is owned by someone else.

c)

already been collected.

d)

is not very clear to understand.

38.

Primary data is

a)

Data from the primary school

b)

Data that is collected by myself

c)

Data that is collected by someone else

d)

Not sure

39.

Examples of discrete data

a)

measurement of foot, height of the tree

b)

goals scored, number of students

c)

time taken to get to school, length of a table

d)

temperature every day, height of students in a class

40.

Examples of Continuous data

a)

shoe size

b)

number of tables

c)

number of rabbits in forest

d)

heights of rabbits in forest

41.

This stem and leaf diagram shows the ages of a group of people.How many people are there in the group?

a)

12

b)

10

c)

16

d)

11

42.

This stem and leaf diagram shows the ages of a group of people. How old is the youngest member of this group?

a)

14

b)

10

c)

15

d)

1

43.

This stem and leaf diagram shows the ages of a group of people. How old is the oldest member of this group?

a)

44

b)

40

c)

50

d)

4

44.

This stem and leaf diagram shows the heights of Mrs Smith's flowers. How many flowers are taller than 40cm?

a)

5

b)

2

c)

7

d)

6

45.

This stem and leaf diagram shows the heights of Mrs Smith's flowers. What fraction of the flowers are shorter than 20cm?

a)

7/19

b)

9/20

c)

7/20

d)

6/19

46.

This stem and leaf diagram shows the marks achieved by students in Mrs Turner's class. How many boys are in the class?

a)

11

b)

5

c)

12

d)

16

47.

This stem and leaf diagram shows the marks achieved by students in Mrs Turner's class. What was the highest mark in the class?

a)

47

b)

109

c)

45

d)

29

48.

This stem and leaf diagram shows the marks achieved by students in Mrs Turner's class. How many students got more than 24 marks?

a)

14

b)

16

c)

15

d)

12

49.

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

50.

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

51.

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

52.

The diagram shows the ages of a group of people.

How many people are under 20?

a)

4

b)

5

c)

3

d)

8

53.

From the bar chart, how many pets do the boys in the class have?

a)

19

b)

12

c)

7

d)

you cannot tell

54.

How many shoes were sold in January?

a)

58

b)

28

c)

30

d)

24

55.

One small division equals to how many shoes or hats?

a)

1

b)

2

c)

4

d)

10

56.

Which month has the lowest sale in shoes?

a)

January

b)

February

c)

April

d)

May

57.

Where do most male guests come from in the hotel?

a)

Irish

b)

British

c)

Mainland European

d)

Rest of the world

58.

How many female guests in the hotel?

a)

19

b)

26

c)

28

d)

30

59.

1 Kilometer = _________ Mile

a)

5/8ths

b)

6 miles

c)

26 miles

d)

1 mile

60.

1 mile = ______ KMs

a)

1.6

b)

2.5

c)

3.

d)

25

61.

How many kilometres are in 25 miles?

a)

$12$

b)

$40$

c)

$24$

d)

$48$

62.

DES MOINES IS 160 km away. How many miles away is it?

a)

100 miles

b)

300 miles

c)

160 miles

63.

How many kilometres are in 80 miles?

a)

5

b)

64

c)

65

d)

128

64.

The circumference of a circle is 18.41 feet. What is the approximate distance of the radius?

a)

5.863 feet

b)

5 feet

c)

2.93 feet

d)

57.807 feet

65.

Find the area of the trapezoid.

a)

30 cm²

b)

44 cm²

c)

88 cm²

d)

22 cm²

66.

Find the area.

a)

14 in²

b)

18 in²

c)

52 in²

d)

28 in²

67.

Find the area of this shape

a)

4.5 m²

b)

5 m²

c)

9 m²

d)

6.3 m²

68.

If a parallelogram has an area of 72 square units and a base of 12 units, what is the height of the parallelogram?

a)

10 units

b)

8 units

c)

6 units

d)

4 units

69.

A roof is in the shape of a triangle with a base of 15 meters and a height of 9 meters. What is the area of the roof?

a)

10 square meters

b)

40 square meters

c)

24 square meters

d)

67.5 square meters

70.

Find the area of the parallelogram.

a)

80

b)

90

c)

720

d)

40

71.

Find the area of the trapezium

a)

38cm²

b)

49.5cm²

c)

76cm²

d)

36cm²

72.

Determine the area of the composite figure shown below.

a)

168 cm²

b)

98 cm²

c)

84 cm²

d)

70 cm²

73.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r²

c)

C = 2·π·r

d)

C = d²

74.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

75.

How many lines of symmetry does this shape have?

This a regular octogon, an 8 sided figure.

a)

2

b)

4

c)

6

d)

8

76.

The order of rotational symmetry of a regular polygon is the same as its number of sides.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

77.

What is the name of the given shape and how many lines of symmetry does it have?

a)

Hexagon with 6 lines of symmetry

b)

Pentagon with 4 lines of symmetry

c)

Pentagon with 5 lines of symmetry

d)

Octagon with 7 lines of symmetry

78.

What is the name of the given shape and how many lines of symmetry does it have?

a)

Octagon with 8 lines of symmetry

b)

Nonagon with 10 lines of symmetry

c)

Decagon with 9 lines of symmetry

d)

Nonagon with 9 lines of symmetry

79.

Which statement is true about the number of lines of symmetry in any regular polygon?

a)

There is only 1 line of symmetry in every polygon

b)

The number of sides = the number of lines of symmetry

c)

There are only 3 lines of symmetry in every polygon

d)

The number of sides is 2 more than the number of lines of symmetry

80.

Euler's Formula is

a)

F+ V - E = -2

b)

F + V - E = 2

c)

E - V - F = 2

d)

F + V + F = 2

81.

Euler's Formula is Applicable for

a)

Polyhedrons

b)

Non-Polyhedrons

c)

Octahedron

d)

Tetrahedron

82.

A polyhedron having 6 vertices and 9 edges will have ________faces

a)

4

b)

6

c)

2

d)

5

83.

A polyhedron has 12 Edges and 8 Vertices. How many faces does it have?

a)

4

b)

5

c)

6

d)

7

84.

Can a polyhedron have 6 faces, 5 vertices, and 3 edges?

a)

Yes!

b)

No!

85.

Work out the input when the output is 21

(a)

86.

Work out the output when the input is -6

a)

1.5

b)

1.5

c)

-51

d)

15

87.

Work out the input when the output is 0

(a)

88.

Work out the input when the output is 180

(a)

89.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

90.

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

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

91.

Find the total surface area of the prism.

a)

1,909,440 in²

b)

876 in²

c)

792 in²

d)

1,872 in²

92.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a height of 20 centimeters. What is the surface area of that brick?

a)

650 cm²

b)

600 cm²

c)

525 cm²

d)

450 cm²

93.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

94.

Find the missing angle.

a)

30

b)

60

c)

90

d)

120

95.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

96.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

97.

Find the missing angle.

a)

67°

b)

123°

c)

50°

d)

140°

98.

Find the missing angles.

a)

n=102°, o=120°

b)

n=60°, o=18°

c)

n=60°, o=78°

d)

n=78°, o=78°

99.

Calculate the missing angle.

a)

273°

b)

93°

c)

75°

d)

7°

100.

Find angle g.

a)

130°

b)

50°

c)

100°

d)

80°

101.

Find the lettered angles.

a)

a=126°, b=59°, c=126°

b)

a=113°, b=126°, c=67°

c)

a=113°, b=67°, c=126°

102.

A line that intersects two lines is called a

a)

parallel line

b)

transversal line

c)

perpendicular line

d)

goal line

103.

a)

55^o alternate

b)

55^o corresponding

c)

125^o alternate

d)

125^o corresponding

104.

∠C and ∠F are in what type of relationship?

a)

Co-interior

b)

Vertically opposite

c)

Alternate

d)

Corresponding

105.

∠D and ∠H are in what type of relationship?

a)

Co-interior

b)

Vertically opposite

c)

Corresponding

d)

Alternate

106.

Which calculation do we need to find the missing angle?

a)

$90\degree+65\degree$

b)

$90\degree+65\degree$

c)

$180\degree+65\degree$

d)

$180\degree-65\degree$

107.

What is the value of angle a?

a)

145

b)

135

c)

125

d)

45

108.

Which of the following " one pair of opposite sides are parallel

a)

Trapezium

b)

Parallelogram

c)

Rectangle

d)

Square

e)

Rhombus

109.

The sum of angles of a concave quadrilateral is

a)

more than 360°

b)

less than 360°

c)

equal to 360°

d)

Twice of 360°

110.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

111.

All rectangles are squares.

a)

True

b)

False

112.

All squares are parallelograms.

a)

True

b)

False

113.

A rectangle has

a)

Opposite sides are equal

b)

Opposite sides are parallel

c)

Four angles that each measure 90 degrees

d)

All four sides are equal

114.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

115.

Simplify the expression. $\left(3-2x+2x^2\right)-\left(4x-5+3x^2\right)$

a)

$x^2+6x+8$

b)

$2x^2+5x-7$

c)

$-x^2-6x+8$

d)

$-2x^2+11x-4$

Y8 MYE Revision 2026 - Algebra, Angles, Geometry, Data

Total questions: 115

Worksheet time: 2hrs 22mins

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