Free Printable Year 8 Paper 2 Revision

Worksheets

Year 8 Paper 2 Revision

Total questions: 187

Worksheet time: 5hrs 31mins

Name

Class

Date

Simplify each expression.

-4x

2x + 2

Simplify each expression.

-y + 5

y + 5

y + 3

3y + 6

Simplify each expression.

5x +1

9x + 1

-2x - 1

12x - 7

a + a + a - a

a²

Which ones of the lists here are called "Unlike Terms?"

7m & 12m

2a & 2f

2e & 5e

r & t

What is the perimeter of the rectangle?

28 sq feet

28 feet

48 feet

48 sq feet

Find the perimeter of the rectangle.

3x + 7

6x + 14

18x + 6

Find the perimeter of the rectangle

2x - 2

6x - 15

4x - 4

6x - 15

Find the perimeter of the rectangle.

16x + 20

8x + 10

80x

18x

10.

Find the area of the rectangle.

80x

18x

8x + 10

16x + 20

11.

Which expression represents the area?

6x + 3

8x + 12

8x² + 12

8x + 3

12.

Which expression represents the perimeter of the triangle?

4x + 4y + 5

6xy + 7

6x + 2y + 5

10xy + x + 2y

13.

Find the perimeter of the shape:

x + 5 + 7

3x + 2

3x + 12

x + 12

14.

Simplify: 5a + 2 - 3a + 4

8a + 6

2a + 6

2a + 2

15.

Simplify: 5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

16.

Simplify: a + a + a + a

a + 4

a to the fourth power

4a + 4

17.

Simplify: x + y + y + x+ y

2 + 3

x + y

2x + 3y

5xy

18.

Simplify: 3x - 5x

-2x

15x²

19.

Simplify: 3x + 2x

20.

Simplify: 5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

21.

Simplify the ratio 3:15

1:3

6:30

1:7

1:5

22.

Which ratio is equivalent to 2:5

5:10

20:40

6:15

8:25

23.

Write the ratio 30 : 15 in its simplest form

3:1

6:3

60:30

2:1

24.

Write the ratio 4 : 7 in the form 1 : n

1 : 7/4

2 : 14

4/7 : 1

1 : 2

25.

Which ratio is equivalent to 15 : 20

3 : 5

45 : 60

4 : 3

150 : 220

26.

Write the ratio of orange juice to water in its simplest form

5 ml of orange squash with 20 ml of water

1 : 4

4 : 5

5 : 20

1 : 5

27.

In a nursery there are 24 children and 4 adults.

Write this as a ratio, adults to children, in its simplest form.

7 : 1

4 : 24

1 : 6

2 : 12

28.

At a football match there are 3000 adults and 200 children.

Write this as a ratio in its simplest form.

2 : 30

3000 : 200

3 : 2

15 : 1

29.

Simplify the ratio 45 : 10

9 : 2

5 : 2

7 : 2

5 : 1

30.

Simplify the ratio 48 : 60

8 : 10

3 : 4

4 : 5

1 : 2

31.

Write £5 to to £100 as a ratio in its simplest form

1 : 10

1 : 25

5 : 10

1 : 20

32.

Write 240 cm to 400 cm as a ratio in its simplest form

2 : 5

24 : 40

5 : 6

3 : 5

33.

Simplify the ratio 21 : 6 : 18

7 : 2 : 6

3 : 2 : 5

3 : 1 : 6

5 : 2 : 3

34.

Write 2 hours to 20 minutes as a ratio in its simplest form

1 : 10

12 : 2

60 : 20

6 : 1

35.

Write 75p to £3.00 as a ratio in its simplest form

75 : 3

25 : 1

1 : 4

3 : 1.5

36.

What is the equation of the line?

y = 0

y = 1

y = 2

x = 1

37.

What is the equation of this line?

x=5

y=5

y=5x

x=-5

38.

What is the equation of the red graph pictured?

y = -4

x = -4

y = 4

x = 4

39.

Does the following equation represent a vertical line, a horizontal line, or neither?

y = −3

vertical

horizontal

neither

40.

What is the equation of line 1?

x = 5

y = 5

x = 4.5

y = 4.5

41.

What is the equation of line 2?

x = 2

y = 2

x = 12

y = 12

42.

What is the equation of the red graph pictured?

y = 3

x = 3

y = -3

x = -3

43.

What would the graph of y = 8 look like?

Horizontal line

Vertical line

44.

What would the graph of the equation x = -4 look like?

Horizontal line

Vertical line

45.

Which is the correct graph for x = −4?

46.

If m = 3, x = 2, and c = 1, calculate y:
y = mx + c

47.

If m = 3, c = 5 and y = 11, calculate x:
y = mx + c

x = 2

x = 38

x = 8.67

x = -2.67

48.

Make a the subject of
a + b = c

a = c - b

a = b - c

a = b + c

a = bc

49.

Make a the subject of
a + b = c + d

a = c + d - b

a = b + c + d

a = b + c - d

a = c - b - d

50.

Make w the subject of
A = lw

w = A/l

w = l/A

w = A - l

w = Al

51.

Make x the subject of y = mx + 1

x = (y - 1)/m

x = y - 1/m

x = y/m - 1

x = my - 1

52.

Make x the subject of y = mx + c

x = (y - c)/m

x = y - c/m

x = y/m - c

x = my + c

53.

Make x the subject:
N = (180 + x)/2

x = 2N -180

x = N - 180

x = N/2 -180

x = N -180/2

54.

Make r the subject:
C = 2πr

r = C/2π

r = C - 2π

r = 2πC

r = Cπ/2

55.

Make r the subject:
A = πr²

r = √(A/π)

r = √Aπ

r = Aπ²

r = (Aπ)²

56.

A circular rug has a radius of 2.5m. What is the circumference of the rug to the nearest meter?

16m

20m

57.

What is the formula for the area of a circle with radius r?

A = 2πr

A = πr^2

A = πd

A = 2r

58.

What is the circumference of a circle with diameter 10cm?

10π cm

20π cm

5π cm

100π cm

59.

What is the area of a circle with diameter 14cm?

49π cm^2

196π cm^2

98π cm^2

28π cm^2

60.

What is the circumference of a circle with radius 6cm?

12π cm

36π cm

18π cm

6π cm

61.

What is the area of a circle with radius 8cm?

16π cm^2

64π cm^2

128π cm^2

32π cm^2

62.

A pizza has a diameter of 20cm. What is the area of the pizza to the nearest square centimeter?

314 cm^2

201 cm^2

100 cm^2

1256 cm^2

63.

A circular table has a radius of 1.5m. What is the circumference of the table to the nearest meter?

64.

A circular fountain has a diameter of 8m. What is the area of the water surface to the nearest square meter?

50m^2

201m^2

100m^2

25m^2

65.

A circular garden has a radius of 5m. How many meters of fencing would be needed to surround the garden completely?

10π m

15π m

25π m

50π m

66.

What is the circumference of a circle with diameter 18cm?

18π cm

9π cm

36π cm

28π cm

67.

What is the area of a circle with radius 3cm?

3π cm^2

6π cm^2

9π cm^2

π cm^2

68.

A circular pond has a radius of 12m. What is the circumference of the pond to the nearest meter?

38m

24m

75m

48m

69.

A circular pool has a diameter of 6m. What is the area of the pool to the nearest square meter?

28m^2

9m^2

3m^2

12m^2

70.

A circular trampoline has a diameter of 4.5m. What is the area of the trampoline to the nearest square meter?

16m^2

6m^2

64m^2

32m^2

71.

What is the formula for the circumference of a circle with radius r?

C = 2πr

C = πr^2

C = πd

C = 2r

72.

Subtract y from x.

y - x

x - y

x + y

x/y

73.

Add c to the sum of x and y.

x + y + c

x + c + y + c

x + y

xy + c

74.

5x divided by y.

5x / y

y / 5x

5xy

5xy / y

75.

Tommy earns an allowance of 25 dollars per week. Write an equation to represent the number of weeks (w) and the total allowance (a).

25a = w

aw = 25

2 + 5 = a

25w = a

76.

Write as an equation: a number b increased by 3 is 7

b - 3 = 7

b + 3 = 7

7b = 3

3b = 7

77.

Write as an equation: the product of 8 and a number c is 72

72c = 8

8c = 72

c - 8 = 72

8 + c = 72

78.

Three angles form a straight line. What is the value of x?

180

79.

Solve for x

x = 16

x = 17

x = 18

x = 19

80.

Form an equation and solve to find Tommy's number.

(a)

81.

The perimeter of this rectangle is 44. What is the value of x?

(a)

82.

What multiplier would you use to increase an amount by 25%

0.25

0.75

1.25

83.

What multiplier would you use to decrease an amount by 30%

0.97

0.7

1.3

0.3

84.

What multiplier would you use to increase an amount by 3%

1.03

0.03

0.97

1.3

85.

What multiplier would you use to decrease an amount by 95%

0.95

1.95

0.05

86.

The multiplier 1.78 does what?

Find 78% of an amount

Increase an amount by 78%

Decrease an amount by 78%

Decrease an amount by 22%

87.

The multiplier 0.45 does what?

Increase an amount by 45%

Find 55% of an amount

Decrease an amount by 45%

Decrease an amount by 55%

88.

The multiplier 1.025 is used to do what?

Find 2.5% of an amount

Increase by 0.25%

Increase by 2.5%

Increase by 25%

89.

What calculation would increase £500 by 28%?

500 x 1.28

0.28 x 500

0.72 x 500

500 x 28

90.

What calculation would decrease 40m by 27%?

40 x 0.27

40 x 1.27

0.63 x 40

40 x 27

91.

What calculation would increase £12,000 by 0.8%?

12000 x 1.08

12000 x 0.008

12000 x 0.982

12000 x 1.008

92.

1) A camera costs £180 in a 10% sale. What was the pre-sale price?

£200

£18

£198

£162

93.

2) After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase?

£1438.26

£1945.88

£248.10

£1500

94.

3) The cost of a holiday, including VAT at 20% is £540. What is the pre-VAT price?

£648

£450

£675

£432.80

95.

4) The world’s tiger population has decreased by 95% since 1910 and is now believed to be as low as 3200. If these figures are correct, what was the tiger population in 1910?

3040

160

3386

64000

96.

5) The sale price of a television is £420 after a 15% reduction. What was the price before the sale?

£63

£2800

£494

£365

97.

6) After a 6.5% pay rise an engineer’s salary is £36,700. What was the salary before the increase?

£34460.09

£2385.50

£34314.50

£39251.34

98.

7) Due to falling orders a company reduces its workforce by 12% to 792. What was the original number of employees?

887

900

707

99.

8) An engine modification improved the fuel consumption of a car by 27% to 17.2 km per litre. What was the fuel consumption before the modification?

4.644

21.844

13.543

12.556

100.

9) After a long-haul flight, the total weight of a Boeing 747 had decreased by 27% to 305,000kg. What weight was the aircraft carrying at take-off?

82350

387350

369880

417808

101.

10) An insurance company offers a no-claims discount of 55% for drivers who have not had an accident for four years. If the discounted premium for such a driver is £334, how would the driver have paid before the discount?

£742.22

£408.22

£183.70

£517.70

102.

How many outcomes are there with tossing a coin and rolling a dice?

103.

Which shows the sample space for flipping two coins?
H = heads, T = tails

H, T

HH, HT, TH, TT

HH, TT

HH, TT, TT, HH

104.

During lunch, you have a choice of 1 burger, 1 side and 1 drink. Which multiplication sentence shows the total number of possible combinations?

4 x 2

4 + 2 + 4

4 + 2

4 x 2 x 4

105.

What is the sample space for this spinner?

1, 2, 3, 4, 5, 6, 7, 8

50/50

106.

What is the sample space for this spinner?

1, 1, 1, 1, 2, 3, 4, 4

1, 2, 3, 4, 5, 6, 7, 8

1, 2, 3, 4

107.

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

7 because 2 + 3 + 2

12 because 2 x 3 x 2

108.

If you roll two dice, how many possible outcomes?

360

109.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

110.

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

180

111.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

180

112.

How many outcomes are there with tossing a coin and rolling a dice?

113.

Which shows the sample space for flipping two coins?

H, T

HH, HT, TH, TT

HH, TT

Dime, Nickel

114.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the CORRECT Sample Space List of possible combinations?

TW, CW, PW

TW, TM, TC, CW, PW

TW, TM, CW, CM, PW, PM

TCP, MW

115.

You pick a marble from this bag.
What is the probability you will choose either a black or a white marble?
*remember to simplify*

3/5

4/10

3/10

6/10

116.

P(not A) =

6/8

3/4

2/8

1/4

117.

What is sample space?

a process with an uncertain result

a possible result of an action

a list of all possible outcomes of an event

a single outcome or group of outcomes

118.

How many outcomes when choosing a vowel (a, e, i, o, u) and then a number (2 or 6)?

119.

What is the sample space of rolling a fair dice?

$\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6\right\}$

$\left\{2,\ 4,\ 6,\ 8,\ 10\right\}$

$12$

120.

A yogurt shop has a half-price mystery scoop special. The scoop could have vanilla or chocolate yogurt. It will also include either hot fudge, caramel, or marshmallow topping. Which list shows all the possible outcomes of the mystery scoop special?

S = { vanilla, chocolate, hot fudge, caramel, marshmallow }

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow) }

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, marshmallow) }

S = { (vanilla, hot fudge), (vanilla, caramel), (vanilla, marshmallow), (chocolate, hot fudge), (chocolate, caramel) (chocolate, marshmallow) }

121.

The result of a single observation of an experiment.

Sample Space

An outcome

Equally Likely

122.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

2/7

5/49

5/7

10/49

123.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

1/10

3/10

30%

124.

If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown

8/26

4/13

8/25

1/3

125.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

5/6

1/2

1/3

1/6

126.

What is the probability that the person picked will be a boy given they speak german?

.7273

.16

.22

127.

What is the probability that a female is chosen given they like a Toyota?

.525

.4627

.6774

.3143

128.

If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?

5/9

4/9

1/2

1/9

129.

At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager.

2/3

8/15

2/15

not enough information

130.

An automobile dealer decides to select a month for its annual sale. Find the probability that it will be September or October.

1/12

1/6

1/4

5/6

131.

Determine the likelihood of the following event:
Drawing a red card from a standard deck of cards

1/2

13/52

1/4

4/52

132.

Find the area of the trapezium

40cm²

80cm²

60cm²

160cm²

133.

Find the area of the trapezium

32cm²

24cm²

64cm²

36cm²

134.

Find the area of the trapezium

114m²

120m²

228m²

108m²

135.

Find the area of the trapezium

400cm²

40cm²

250cm²

450cm²

136.

Find the area of the trapezium

55cm²

143cm²

45cm²

110cm²

137.

Find the area of the trapezium

38cm²

49.5cm²

76cm²

36cm²

138.

Find the area of the trapezium

40cm²

20cm²

25cm²

80cm²

139.

Find the area of the trapezium

250cm²

125cm²

25cm²

12.5cm²

140.

Find the area of the trapezium

224cm²

112cm²

128cm²

256cm²

141.

Find the area of the trapezium

60cm²

30cm²

45cm²

90cm²

142.

Find the area of the trapezium

18cm²

12.6cm²

7.2cm²

25.2cm²

143.

Find the length of side x

2.125cm

4.25cm

8.5cm

54.4cm

144.

What is the missing measurement?

9 cm

18 in

18 cm

9 in

145.

What is the perimeter of this shape?

16 ft

16 sq. in

16 in

16 sq. ft

146.

What is the perimeter of this rectangle?

60 in

34 cm

60 cm

34 in

147.

True or False:
This shape is a quadrilateral.

True

False

148.

What is the perimeter of this polygon?

39 in

39 cm

39 m

39 ft

149.

What is the area of this polygon?

20 sq. ft

20 sq. in

25 sq. in

25 sq. ft

150.

True or False?

True

False

151.

What is the perimeter of this polygon?

28 in

49 ft

49 in

28 ft

152.

What is the perimeter of this shape?

18 in

20 ft

18 ft

24 in

153.

What is the area of this polygon?

56 sq. cm

56 sq. m

56 sq. in

30 sq. m

154.

What is the perimeter of this shape?

20 ft

20 cm

20 in

20 m

155.

True or False?

True

False

156.

Which number sentence matches the area of this shape?

2 ft + 2 ft + 4 ft + 4ft

2 ft X 4 ft

2 in + 2 in + 4 in + 4 in

2 in X 4 in

157.

What is the perimeter of this shape?

16 ft

16 sq. in

16 in

16 sq. ft

158.

What is the area of this polygon?

18 sq. in

18 in

18 ft

18 sq. ft

159.

True or False?

True

False

160.

What is the number sentence for the perimeter of this shape?

2 in X 6 in

2 in + 2 in + 6 in +6 in

2 in + 2 in +3 in + 3 in

2 in X 2 in X 2 in X 3in

161.

What is the perimeter of this shape?

24 sq. in

24 ft

24 sq. ft

24 in

162.

What is the area of this polygon?

12 sq. in

12 in.

14 sq. in

14 in

163.

True or False?

True

False

164.

Expand 10(f + 5)

10f + 50

f + 50

10f + 5

10f+15

165.

Expand 5(2x + 3)

10x + 8

7x + 15

10x + 15

7x + 8

166.

Expand and simplify

2(x + 10) + 3(x + 5)

5x + 15

5x + 35

6x + 35

6x + 15

167.

Expand and simplify

2(4x + 1) + 2(2x - 3)

12x + 4

12x - 4

12x + 6

12x - 6

168.

Expand 2x(x+3)

2x²+6

2x²+6x

2xx+6x

2x+6x

169.

Factorise fully 6x+4

2(x+4)

2(3x+2)

10x

3(x+1)

170.

Factorise x²+4x

2x(x+2)

x(x+4)

2x(1+2x)

2(x+2x)

171.

Factorise 3x²+12x

3x(x+4)

3(x²+4)

(x+3)(x+4)

172.

Factorise fully 4x+12

2(2x+12)

4(x+12)

2(2x+6)

4(x+3)

173.

x(x + 1) + 3(x + 1)

x² + 4x +3

x² + 3x +3

6x + 3

x² + x +3

174.

6w - 6w + 6w + 9w

15w

175.

Simplify the expression: 7v + 2 + 12 + 2v

23v

9 + 14v

9v + 14

176.

Simplify

x²+y²+x+2y-3y²

2x²

x²+y²+x-y

x²-2y²+x+2y

3x+y

177.

Simplify

6x+3x²-x-x²

5x-2x²

11x

5x+2x²

178.

Fully factorise the following expression...

3x - 15

3(x - 3)

3(x - 6)

3(x - 5)

3(x - 15)

179.

Factorise 4a + 2b + 6c

2(a + b + c)

2(2a + b)

2(2a + b + 3c)

12abc

180.

What is the highest factor or 12 and 16?

181.

Which of the following is the correct expansion of:
3p(4p - 7q)?

7p - 10pq

12pq - 21q²

12p² - 21pq

182.

3x(x+1)

3x²+1

3x²+3x

3x+1

183.

Expand -4u(2b - 4u)

-8ub + u²

8ub + 16u

ub + 16u²

-8ub + 16u²

184.

Expand 3(4d - 3)

12d - 9

7d - 6

34d - 33

12d² - 9

185.

Expand m(7m - 2)

7m - 2m

7m² - 2m

7m - 2

7m² - 2

186.

Expand 2(x + 4)

2x + 8

2x + 6

x + 8

x + 6

187.

Expand 10(x + 2)

10x + 20

10x + 12

x + 20

x + 12

100 %

Year 8 Paper 2 Revision

Total questions: 187

Worksheet time: 5hrs 31mins

Similar Resources on Wayground