Free Printable 2nd year end of year revision

1.

4q + 4t + 3q + t

a)

7q + 5t

b)

12tq

c)

Can't be simplified

d)

3q + 4t

2.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

8ab

c)

4ab + 4

d)

2a + 2b + 4

3.

3(10a + 5)

(a)

4.

4(2b + 3)

(a)

5.

$7y^2−5y+9y−5y^2$

a)

$6y^2$

b)

$2y^2+4y$

c)

$12y^2+14y$

d)

Can't be simplified

6.

4(4x-4)+5(2x-1)

a)

26x-21

b)

26x-5

c)

26x-11

d)

26x+21

7.

5(2h + 1) - 2(h + 2)

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

8.

12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

9.

Factor 5x + 20

a)

5(x + 4)

b)

x(4+5)

c)

5(4x + 1)

d)

not factorable

10.

Factor:
8x+40

a)

2(4+10x)

b)

8(x+5)

c)

8(2x+5)

d)

2x(x+5)

11.

Solve the equation

a)

x = 1

b)

x = 0.5

c)

x = 3.5

d)

x = 2

12.

Solve the equation

a)

x = 3

b)

x = 7

c)

x = 4

d)

x = 5

13.

Solve the equation

a)

x = 8

b)

x = 6

c)

x = -5

d)

x = 2

14.

Solve the equation

a)

$x\ =\ -\frac{2}{5}$

b)

x = 9

c)

$x\ =\ -\frac{8}{3}$

d)

x = -6

15.

Solve the equation

a)

x = 4.3

b)

x = 72

c)

x = 9

d)

x = 1

16.

Solve the equation

a)

x = 10

b)

x = 14

c)

x = 12

d)

x = -2

17.

Solve the equation

a)

x = 36

b)

x = 4

c)

x = -12

d)

x = -3

18.

Simplify the following: a³ x a⁵

a)

a⁵

b)

a¹⁵

c)

a⁸

d)

1

19.

c⁵ ÷ c²

a)

c⁷

b)

c³

c)

c¹⁰

d)

c^-2

20.

(y²)³

a)

y⁵

b)

y

c)

y²³

d)

y⁶

21.

a⁷ x a⁹

a)

a⁶³

b)

a²

c)

a⁸

d)

a¹⁶

22.

c³ ÷ c⁷

a)

c⁴

b)

c^-4

c)

c¹³

d)

c^-2

23.

Which of the number is written in standard form?

a)

$50\times10^3$

b)

$3\times10^{-4}$

c)

$3\times10^{2.1}$

d)

$0.9\times10^2$

24.

Which of the number is equal to $5.5\times10^4$ ?

a)

$550$

b)

$55400$

c)

$550000$

d)

$55000$

25.

Write 0.07 in standard form

a)

$7\times10^2$

b)

$-7\times10^2$

c)

$7\times10^{-2}$

d)

$0.07\times10^1$

26.

What is 0.00051

written in standard form?

a)

5.1 × 10^-4

b)

51 × 10^-4

c)

5.1 × 10^-5

27.

True or False:

13.7 × 10³ is written in standard form.

a)

True

b)

False

28.

What is 6.7 × 10⁴ written

as an ordinary number?

a)

67000

b)

6700

c)

670000

d)

0.00067

29.

What is 3 × 10^-2 written

as an ordinary number?

a)

300

b)

3000

c)

0.03

d)

0.3

30.

What is 45,000 written in standard form?

a)

45 × 10³

b)

4.5 × 10⁴

c)

4.5 × 10³

31.

a)

9

b)

3

c)

1/3

d)

1

32.

256 = ______

a)

16³

b)

16²

c)

16

d)

15

33.

80 mm² = __________ cm²

a)

0.8

b)

1

c)

80

d)

800

34.

5 cm² = _____________ mm²

a)

100

b)

500

c)

5000

d)

50,000

35.

9 km² = __________ m²

a)

90,000

b)

900,000

c)

9,000,000

d)

90,000,000

36.

Look at the diagram. What is the value of $\angle b$ ?

a)

$123\degree$

b)

$58\degree$

c)

$132\degree$

d)

$68\degree$

37.

What is the value of $\angle e$ ?

a)

$159\degree$

b)

$31\degree$

c)

$21\degree$

d)

$59\degree$

38.

What is the value of $\angle e$ ?

a)

$50\degree$

b)

$140\degree$

c)

$40\degree$

d)

$150\degree$

39.

These angles are the same because they are ______________?

a)

Alternate Angles

b)

Corresponding Angles

c)

Vertically Opposite Angles

d)

Co-Interior Angles

40.

These angles add to 180^o because they are ______________?

a)

Co-Interior Angles

b)

Corresponding Angles

c)

Alternate Angles

d)

Vertically Opposite Angles

41.

These angles are the same because they are ______________?

a)

Vertically Opposite Angles

b)

Alternate Angles

c)

Co-Interior Angles

d)

Corresponding Angles

42.

The angles are the same because they are _____________?

a)

Corresponding Angles

b)

Alternate Angles

c)

Vertically Opposite Angles

d)

Co-Interior Angles

43.

How can we describe these angles?

a)

Corresponding angles

b)

Alternate angles

c)

Interior angles

d)

Vertically opposite angles

44.

Find the measure of x.

a)

x=51

b)

x=64

c)

x=75

d)

x=50

45.

Fine the measure of x.

a)

x=100

b)

x=121

c)

x=112

d)

x=68

46.

Question 1a. Find the sum of the interior angles for the polygon.

a)

$108\degree$

b)

$180\degree$

c)

$360\degree$

d)

$540\degree$

47.

Question 1b. Find the measure of one interior angle for the regular polygon.

a)

$108\degree$

b)

$180\degree$

c)

$360\degree$

d)

$540\degree$

48.

Find the value of X.

a)

100 degrees

b)

120 degrees

c)

125 degrees

d)

130 degrees

49.

Find the value of X

a)

94 degrees

b)

25 degrees

c)

36 degrees

d)

180 degrees

50.

Find the value of x.

a)

110 degrees

b)

90 degrees

c)

130 degrees

d)

120 degrees

51.

Find 34% of 200

a)

234

b)

0.0017

c)

6800

d)

68

52.

9% of 126 kg

a)

11 kg

b)

11.26 kg

c)

11.50 kg

d)

11.34 kg

53.

18% of 1100 m

a)

196 m

b)

197 m

c)

199 m

d)

198 m

54.

When you increase an amount by 5%, to find the new amount in one step, what should you multiply the original amount by?

(a)

55.

When you increase an amount by 35%, to find the new amount in one step, what should you multiply the original amount by?

(a)

56.

When you increase an amount by 18%, to find the new amount in one step, what should you multiply the original amount by?

(a)

57.

When you increase an amount by 25%, to find the new amount in one step, what should you multiply the original amount by?

a)

0.25

b)

25%

c)

1.25

d)

0.75

58.

When you decrease an amount by 25%, to find the new amount in one step, what should you multiply the original amount by?

a)

0.25

b)

25%

c)

1.25

d)

0.75

59.

When you decrease an amount by 10%, to find the new amount in one step, what should you multiply the original amount by?

a)

0.9

b)

10%

c)

0.09

d)

1.1

60.

When you increase an amount by 10%, to find the new amount in one step, what should you multiply the original amount by?

a)

0.1

b)

10%

c)

1.01

d)

1.1

61.

When you decrease an amount by 17%, to find the new amount in one step, what should you multiply the original amount by?

(a)

62.

When you decrease an amount by 6%, to find the new amount in one step, what should you multiply the original amount by?

(a)

63.

Increase $220 by 6%.

(a)

64.

Decrease $2200 by 15%.

(a)

65.

A jacket is in a sale with 20% off and now costs £220. What was the original cost?

a)

£275

b)

£176

c)

£264

d)

£183.33

66.

A train ticket was reduced in price by 15% to £102. What was the original cost of the ticket?

a)

£86.70

b)

£120

c)

£117.30

d)

£88.70

67.

The cost of a flight to Spain is reduced by 12% and is now £242. How much did the flight cost originally?

a)

£212.96

b)

£271.04

c)

£216.07

d)

£275

68.

A taxi driver charges £2 per mile. Write a formula for the total cost of a journey £T if the taxi driver drives m miles.

a)

$m=2T$

b)

$T=2m$

c)

$T=m^2$

d)

$2m$

69.

A plumber charges £15 per hour plus £20 callout charge. If the plumber works for h hours, write a formula for the total cost T of a callout.

a)

$T=20h+15$

b)

$T=15h+20$

c)

$T=35h$

d)

$T=300m$

70.

A cell phone plan charges $20 per month for calls and $5 for each gigabyte (g) of data used. Which formula to calculate the monthly cost based on data usage.

a)

C = 20g - 5

b)

C = 25g

c)

C = 5g + 20

d)

C = 20g + 5

71.

The total cost of renting a car is calculated as a base rate of $30 plus an additional $1.50 per Kilometer driven. Create a formula to calculate the total cost of renting a car.

a)

C = 30 + 1.5k

b)

C = 1.5 + 30k

c)

C = 30 + 150k

d)

C = 1.5k - 30

72.

Make x the subject of the formula:

a)

x = y - a

b)

x = a - y

c)

x = y + a

d)

x = ay

73.

Make x the subject of the formula:

a)

x = y - a

b)

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

c)

x = y + a

d)

x = ay

74.

Make x the subject of the formula:

a)

x = y - a

b)

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

c)

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

d)

x = ay

75.

Make x the subject of the formula:

a)

x = y - a

b)

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

c)

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

d)

x = ay

76.

Make x the subject of the formula:

a)

$x\ =\ \frac{y}{a}-3$

b)

$x\ =\ \frac{y-3}{a}$

c)

$x\ =\ \frac{a-3}{y}$

d)

$x\ =\ \frac{y}{a}-3$

77.

Make x the subject of the formula:

a)

$x\ =\ \frac{y}{3}+a$

b)

$x\ =\ \frac{y+a}{3}$

c)

$x\ =\ \frac{y-3}{a}$

d)

$x\ =\ \frac{y}{a}-3$

78.

Make x the subject of the formula:

a)

$x\ =\ y+3a$

b)

$x\ =\ y-3a$

c)

$x\ =\ 3a-y$

d)

$x\ =\ \frac{y+3}{a}$

79.

Make x the subject of the formula:

a)

$x\ =\ ay-3$

b)

$x\ =\ a\left(y-3\right)$

c)

$x\ =\ 3y-a$

80.

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

5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

81.

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

82.

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

83.

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

7, 16, 25, 24...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

84.

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

3, 11, 19, 27...

a)

8n-5

b)

8n+5

c)

5n+8

d)

5n-8

85.

What is the next term for the following sequence?

5, 12, 19, 26,

a)

31

b)

32

c)

33

d)

34

86.

What is the next number in the following sequence?

15, 11, 7, 3,

a)

-4

b)

0

c)

1

d)

-1

87.

What geometric construction is shown in the diagram below?

a)

an angle bisector

b)

a line parallel to a given line

c)

an angle congruent to a given angle

d)

a perpendicular bisector of a segment

88.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Angle median

d)

Perpendicular bisector of a line segment

89.

Which of the following constructions is illustrated?

a)

An angle is congruent to a given angle

b)

The bisector of a given angle

c)

The bisector of a given segment

d)

The perpendicular bisector of a given segment.

90.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

91.

Area

a)

12 in sq

b)

12 in

c)

24 in sq

d)

6 in sq

92.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

93.

a)

35 in²

b)

2 in²

c)

12 in²

d)

35 in

94.

Find the area of the parallelogram.

a)

15.6 cm²

b)

30.6 cm²

c)

13.26 cm²

d)

79.56 cm²

95.

What is the area of the parallelogram?

a)

170

b)

153

c)

72

d)

136

96.

Find the area of the trapezium

a)

40cm²

b)

80cm²

c)

60cm²

d)

160cm²

97.

Find the area of the trapezium

a)

400cm²

b)

40cm²

c)

250cm²

d)

450cm²

98.

Find the area of the trapezium

a)

40cm²

b)

20cm²

c)

25cm²

d)

80cm²

99.

Find the area of the circle.

a)

176.6 cm²

b)

706.5 cm²

c)

23.6 cm²

d)

50.24 cm²

100.

Find the area of the circle.

a)

803.84 cm²

b)

25.12 cm²

c)

50.24 cm²

d)

200.96 cm²

101.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

102.

Find the circumference of the circle.

a)

18.8 cm

b)

113 cm

c)

37.7 cm

d)

452.2 cm

103.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

104.

What is the area of this composite shape?

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

105.

a)

54 cm2

b)

45 cm2

c)

63 cm2

d)

36 cm2

106.

What is the area of the shaded region?

Note: the cut-out is a quarter of a circle

a)

4.8 cm²

b)

5.3 cm²

c)

8.4 cm²

d)

7.1 cm²

107.

What is the area of the shaded region?

a)

98.7 cm²

b)

119.3 cm²

c)

122.4 cm²

d)

158.5 cm²

108.

What is the volume of the solid shown?

a)

$490\pi\ cm^3$

b)

$1960\pi\ cm^3$

c)

$1960\ cm^3$

d)

$140\pi\ cm^3$

109.

What is the volume of the solid shown?

a)

$66\ cm^3$

b)

$132\ cm^3$

c)

$110\ cm^3$

d)

$165\ cm^3$

110.

What is the volume of the solid shown?

a)

$216\ cm^3$

b)

$108\ cm^3$

c)

$2920\ cm^3$

d)

$324\pi\ cm^3$

111.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

112.

Find the total surface area of the prism.

a)

1,909,440 in²

b)

876 in²

c)

792 in²

d)

1,872 in²

113.

Calculate the surface area.

a)

54 m²

b)

96 m²

c)

99 m²

d)

61 m²

114.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

115.

What is the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

116.

Find the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

117.

Find x.

a)

35

b)

20

c)

8

d)

12

118.

Use trig ratios (SOH CAH TOA) to solve for x

a)

5.0

b)

6.1

c)

7.7

d)

6.4

119.

Find the measure of the missing angle to the nearest degree.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

120.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

121.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

122.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

2nd year end of year revision

Total questions: 122

Worksheet time: 5hrs 39mins

Similar Resources on Wayground