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Mathematics Final Exam

Total questions: 180

Worksheet time: 5hrs 48mins

Name
Class
Date
1.
2 - 4
a)
2
b)
-8
c)
6
d)
-2
2.
-5 - (- 3)
a)
-8
b)
8
c)
-2
d)
15
3.
6 - (-4)
a)
10
b)
2
c)
-2
d)
-10
4.
-18 +(-6)
a)
3
b)
-3
c)
-12
d)
-24
5.
-2 + (-8)
a)
-6
b)
6
c)
-10
d)
10
6.
-9 - 5
a)
-14
b)
4
c)
-4
d)
45
7.
-3 +(- 2)
a)
-1
b)
5
c)
-5
d)
-6
8.
-4 - 2
a)
6
b)
-2
c)
-8
d)
-6
9.
8 - (-5)
a)
1
b)
-15
c)
13
d)
15
10.
12 - (-12)
a)
24
b)
-24
c)
0
d)
-144
11.
-8 - (-6)
a)
2
b)
14
c)
-2
d)
-14
12.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
13.
3 - (-8)
a)
11
b)
-11
c)
5
d)
-5
14.
-32/8
a)
-4
b)
-5
c)
4
d)
24
15.
-2 + (-5)
a)
-3
b)
3
c)
-7
d)
7
16.
5-19
a)
14
b)
24
c)
-14
d)
-24
17.

12(8)=.....12-\left(-8\right)=.....  

a)

-20

b)

-4

c)

4

d)

20

18.

5×(6)=....5\times\left(-6\right)=....  

a)

-11

b)

-15

c)

-30

d)

30

19.

12÷(4)×5=....12\div\left(-4\right)\times5=....  

a)

-20

b)

-15

c)

15

d)

20

20.

4+5×26=....-4+5\times2-6=....  

a)

3

b)

2

c)

1

d)

0

21.

Which fraction is equivalent to 3/10?

a)

30/100

b)

5/100

c)

50/10

d)

500/100

22.

What decimal is represented by the fraction above?

a)

8

b)

8.0

c)

0.8

d)

0.08

23.

Which fraction does the grid represent?

a)

6/100

b)

60/10

c)

6/10

d)

6

24.

What is the place value of the 4?

3.14

a)

ones

b)

tenths

c)

hundred

d)

hundredths

25.

What is the place value of the 1 in the number 3.10?

a)

ones

b)

tens

c)

tenths

d)

hundredths

26.
Convert the mixed fraction to a improper fraction.
a)
22 /9
b)
20/9
c)
31 / 9
d)
4/6
27.
write as a mixed number  3/2
a)
1  1/2
b)
1  1/4
c)
1  1/5
d)
1  1/7
28.
2/12 + 1/12 + 3/12 + 1/12 + 4/12 =
a)
8/12
b)
1
c)
11/12
d)
10/12
29.
Compute leaving answer in simplest form: 9/12 + 3/12
a)
12/2
b)
1
c)
12
d)
1/2
30.
What is 2/3 + 5/3 in simplest form?
a)
7/3
b)
7/6
c)
1
d)
2  1/3
31.

11/12 - 5/12

a)

6/12

b)

5/12

c)

8/12

d)

2/12

32.
7/8 - 2/8
a)
5/16
b)
9/8
c)
6/8
d)
5/8
33.
7/9 - 2/9
a)
5/0
b)
5/9
c)
9/9
d)
5/18
34.

  410+45=\frac{4}{10}+\frac{4}{5}=  

a)

1251\frac{2}{5}  

b)

815\frac{8}{15}  

c)

1151\frac{1}{5}  

35.

Find the sum: 34+18\frac{3}{4}+\frac{1}{8}  

a)

48\frac{4}{8}  

b)

78\frac{7}{8}  

c)

412\frac{4}{12}  

36.
17.89 + 3.4
a)
21
b)
17.89
c)
21.29
d)
29
37.
15.8 - 6. 21 
a)
10
b)
9.71
c)
.959
d)
9.59
38.
Solve
82.96 - 15.74
a)
67.22
b)
56.12
c)
66.12
d)
57.22
39.
Solve.
3.9 + 2.2 = 
a)
5.1
b)
6.1
c)
1.7
d)
32.92
40.
What is the sum of 45,009 and 3,008?
a)
48,017
b)
50,009
c)
45,897
d)
43,009
41.

What is the mean of first 10 prime numbers?

a)

12

b)

12.9

c)

12.6

d)

12.8

42.

Find the variable and constant in the algebraic expression y+21_________

a)

No variable

b)

No constant

c)

Variable is 21 & constant is y

d)

Variable is y & constant is 21

43.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
44.

Five less than twice a number is equivalent to 47.

a)

5 - 2x = 47

b)

2x - 5 = 47

c)

5x - 2 = 47

d)

2 - 5x = 47

45.

Set up equation for the following statement by taking 't' as the variable :

'one-forth of a number minus 4 gives 8'.

a)

t ⁄4 - 4 = 8

b)

4t + 4 = 8

c)

t ⁄4 + 4 = 8

d)

4t - 4 = 8

46.

Find the value of x :

3 (x - 2) = 9

a)

x = 5

b)

x = 7

c)

x = 6

d)

x = 8

47.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
48.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
49.

Three times the sum of a number and 7 is equivalent to 57.

a)

3x + 7 = 57

b)

3(x + 7) = 57

c)

7x + 3 = 57

d)

7(x + 3) = 57

50.

If 95x = 185\frac{9}{5}x\ =\ \frac{18}{5}  , then x = (a)  

51.

Manu's father's age is 4 years more than three times Manu's age. Find Manu's age, if his father is 46 years old.

a)

14

b)

15

c)

16

d)

18

52.

An angle whose magnitude lies between 180⁰ and 360⁰ is called_______

a)

Obtuse Angle

b)

Acute angle

c)

Reflex angle

d)

Complete angle

53.
Write 'True' or 'False':
'Two obtuse angles may be complement to each other' 
a)
TRUE
b)
FALSE
54.
Write 'True' or 'False'
'Two acute angles may be supplementary'
a)
TRUE
b)
FALSE
55.
α and β are supplementary angles.  If α = 130⁰, then β = _______
a)
50⁰
b)
40⁰
c)
-40⁰
d)
None of the above
56.
a)
Adjacent Angles
b)
Linear Pair of angles
c)
Corresponding angles
d)
Alternate Angles
57.
a)
Corresponding Angles
b)
Alternate Interior Angles
c)
Vertically Opposite Angels
d)
None of the above
58.
a)
60⁰
b)
50⁰
c)
-30⁰
d)
-60⁰
59.
If a ray stands on a line, the sum of adjacent angels formed is _________
a)
180⁰
b)
90⁰
c)
120⁰
d)
360⁰
60.
If two lines are given, how many transversals can be drawn for these lines?
a)
1
b)
2
c)
5
d)
infinite number of transversals
61.

An angle which is complement of itself is _____

a)

0⁰

b)

45°

c)

180°

d)

90⁰

62.


3 and 6 are examples of which type of angle pair?\angle3\ and\ \angle6\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

63.


1 and5 are examples of which type of angle pair?\angle1\ and\angle5\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

64.


6 and7 are examples of which type of angle pair?\angle6\ and\angle7\ are\ examples\ of\ which\ type\ of\ angle\ pair?  

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

65.
What does this image show?
a)
parallel lines
b)
perpendicular lines
c)
intersecting lines
d)
line segments
66.
a)
55o alternate
b)
55o corresponding
c)
125o alternate
d)
125o corresponding
67.

1 \angle1\ and  2\angle2    are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

68.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
69.

Which of the angle pairs below is a pair of alternate interior angles?  

a)

7 \angle7\  and  5\angle5  

b)

3 \angle3\  and  7\angle7  

c)

4\angle4  and  8\angle8  

d)

1 \angle1\  and  3\angle3  

70.

Which of the angle pairs below is a pair of corresponding angles?  

a)

8\angle8  and  6\angle6  

b)

2 \angle2\  and  6\angle6  

c)

2 \angle2\  and  3\angle3  

d)

8 \angle8\  and  5\angle5  

71.

1 \angle1\  and 2\angle2  are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

72.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

73.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

74.
a)
x = 118
b)
x = 108
c)
x = 28
d)
x = 58
75.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
76.

What it the measurement for angle 1?

a)

140o

b)

180o

c)

40o

d)

160o

77.

An angle which is complement of itself is___

a)

90°

b)

60°

c)

45°

d)

55°

78.
The supplementary angles of 132° is ______
a)
48°
b)
58°
c)
68°
d)
38°
79.
a)
135°
b)
145°
c)
35°
d)
45°
80.
If two adjacent angles are equal, then the measure of each of these angles is ____
a)
90°
b)
60°
c)
180°
d)
45°
81.

An angle whose magnitude lies between 180⁰ and 360⁰ is called_______

a)

Obtuse Angle

b)

Acute angle

c)

Reflex angle

d)

Complete angle

82.
Least number of possible acute angles in a triangle is_______
a)
2
b)
1
c)
3
d)
0
83.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
meidans
84.

Medians and altitudes are same in

a)

Isosceles

b)

Equilaterel

c)

both

d)

None

85.

Choose the correct statement. (More than 2 can be correct)

a)

A triangle has 6 exterior angles .

b)

A triangle has 3 exterior angles .

c)

The sum of 2 obtuse angled triangle should be greater than 360 degree.

d)

All of the above

86.

In a triangle PQR , Which of the the given conditions does not hold true.(Read all the options)

a)

PQ=QR>PR

b)

PQ-PR,QR

c)

PQ-QR>PR

d)

RQ=PR.PQ

87.

The given figure shows tree identical squares . Find x

a)

30

b)

27

c)

36

d)

16

88.

Find the values of a , b, c respectively in the given figure.

a)

59, 34 , 101

b)

67 , 34 , 101

c)

59 , 26 , 91

d)

67 , 34 , 91

89.

If the height of two poles are 40m and 60m and the distance between their tops is 25m , find the distance between the poles,

a)

25m

b)

10m

c)

20m

d)

15m

90.

The number of line of symmetry of an equilateral triangle is-

a)

0 as the it is the polygon with least sides.

b)

2 as a bisecting line is not considered as line of symmetry

c)

3 as it has three sides.

d)

Infinite as all sides are equal,

91.

6cm and 4cm are the measures of the a triangle. Which of the following can be the minimum and maximum value of the third side respectively.

a)

1cm , 10cm

b)

3cm , 9.9cm

c)

3cm and 10cm

d)

It may vary depending upon the type of triangle.

92.

The sum of all exterior angles of 3 triangles should be - (Read all the 0ptions carefully)

a)

Sum of opposite interior angles of triangle.

b)

Sum of all interior angles of triangle.

c)

Sum of opposite interior angles of triangle x 3

d)

Sum of all interior angles of triangle.x 6

93.

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is consecutive angles is 10 degree, Determine the angles.(Form linear equation)

a)

60 , 70 , 80

b)

20 , 30 , 40

c)

50 , 60 , 70

d)

30 , 40 , 50

94.

Find the value of x in the given figure.

a)

120

b)

150

c)

180

d)

112

95.

The angles of a triangle are in the ratio 2:3:7 . The range of the values should be-

a)

105

b)

30

c)

40

d)

75

96.

Find the values of x and y respectively.

a)

26 , 144

b)

36 , 108

c)

154 , 36

d)

144 , 26

97.
Find the ratio of 40 paise to ₹ 4
a)
1 : 10
b)
10 : 1
c)
100 : 1
d)
1 : 100
98.
Convert the following ratio into percentage:
1 : 5
a)
20%
b)
10%
c)
25%
d)
50%
99.
If 20% of x = 80 then x = _____
a)
400
b)
40
c)
4000
d)
800
100.
Identify the correct definition for Selling Price:
a)
Selling price = Market Price - Discount
b)
Selling Price = Market Price + Discount
c)
Selling price = Market Price ÷ Dicount
d)
Selling Price = Market Price × Discount %
101.
Which of the following statement is correct
a)
Discount is always calculated on Marked Price
b)
Discount is always calculated on Selling Price
102.
Which of the following statement is correct:
a)
Profit or loss is always calcuated on Cost Price
b)
Profit or loss is calculated aways on Selling Price
103.

What would be the sale price of a bag marked at ₹ 300 if the discount is 20%

a)

₹ 270

b)

₹ 260

c)

₹ 250

d)

₹ 240

104.

Find the rate of discount when on the Marked Price of ₹ 600/- a discount of ₹ 60 is given.

a)

10%

b)

15%

c)

20%

d)

30%

105.
The list price of a pair of shoes is ₹ 450.  If ₹ 45 is paid as VAT, find the rate of VAT.
a)
10%
b)
15%
c)
20%
d)
45%
106.
Find 12% of ₹ 1200
a)
144
b)
100
c)
44
d)
50
107.
Write 'True' or 'False'
0 is a rational number
a)
TRUE
b)
FALSE
108.

Express -7 ⁄ 5 with NUMERATOR as (-35)

a)

-35 ⁄ 25

b)

-35 ⁄ 20

c)

-35 ⁄ 15

d)

-35 ⁄ 30

109.

Express 44 ⁄ (-77) in STANDARD form

a)

- 4 ⁄ 7

b)

4 ⁄ -7

c)

- 44 ⁄ 7

d)

0

110.

Which of the following rational number is in STANDARD form?

a)

- 3 ⁄ 2

b)

3 ⁄ -2

c)

- 3 ⁄ -2

d)

None of the above

111.

Write 'True' or 'False'

1 is the only Rational number which is its own RECIPROCAL

a)

TRUE

b)

FALSE

112.

True or False :

An integer (-19) is NOT a Rational number.

a)

TRUE

b)

FALSE

113.

Reciprocal of (- 8) is______

a)

8

b)

1 ⁄ 8

c)

- 1 ⁄ 8

d)

None of the above

114.

Which of the following Rational number is the GREATEST?

a)

- 9 ⁄ 4

b)

9 ⁄ 4

c)

13 ⁄ 4

d)

- 13 ⁄ 4

115.

Identify the rational number EQUIVALENT to 3 ⁄ 5 from the following given rational numbers

a)

3 ⁄ 15

b)

9 ⁄ 15

c)

12 ⁄ 15

d)

None of the above

116.

Multiplicative inverse or Reciprocal of 2 ⁄ 3 is ______

a)

2 ⁄ 3

b)

0 / 3

c)

3 ⁄ 2

d)

1

117.

Find the product.

(- 2 / 3) X (7 / 5)

a)

-6 / 35

b)

14/15

c)

- 14 / 15

d)

- 9 / 8

118.

Additive inverse of (- 5 / 6) is

a)

5/6

b)

6/5

c)

5/11

d)

6/11

119.

For a number of p/q form(p,q are integers) to be a rational number, the DENOMINATOR

a)

should be 0

b)

should never be 0

120.

Find:

(-3 / 5) + (20 / 5)

a)

17 / 5

b)

-23 / 5

c)

8 / 25

d)

17 / 25

121.

0 is _______ rational number.

a)

Positive

b)

Negative

c)

Neither positive nor negative

d)

Both positive & negative

122.

The perimeter of a circle is also known as the ______of the circle

a)

area

b)

arc

c)

circumference

123.

Choose the correct formulas for the circumference of the circle.

a)


C = 2πrC\ =\ 2\pi r

b)

C = 2πdC\ =\ 2\pi d

c)

C = πdC\ =\ \pi d

124.

Ratio of circumference to diameter is a constant and it is denoted as ____.

a)

pi(π)pi\left(\pi\right)

b)

infinite()\inf inite\left(\infty\right)

c)

alpha(α)alpha\left(\alpha\right)

125.

Choose the correct approximate value of

π\pi  

a)

227\frac{22}{7}  

b)

00  

c)

3.143.14  

126.

Can you say that the circumference of a circle is always more than three times its diameter?

a)

Yes

b)

No

127.

Find the circumference of a circle of radius diameter 35 cm.

Take π = 227Take\ \pi\ =\ \frac{22}{7}  

a)

110 cm

b)

55 cm

c)

100 cm

128.

Find the area of a circle whose radius is 21 cm.

undefined 

a)

132 cm2132\ cm^2

b)

1836 cm21836\ cm^2

c)

1386 cm21386\ cm^2

129.

Two or more circles with same centre but different radii are known as _______.

a)

co-centric circles

b)

concentric circles

c)

intersecting circles

130.

The area of a square with each side as 100 m will be ____.

a)

1000 m21000\ m^2

b)

10,000 m210,000\ m^2

c)

1 hectare1\ hectare

131.

Area 80850 m2 =  haArea\ 80850\ m^2\ =\ ----\ ha  

a)

8.0850 ha

b)

80.850 ha

c)

808.50 ha

132.

If z = 31, what is 30 − z ?

a)

1

b)

-1

c)

2

d)

3

133.

Evaluate the expression for m = 10.

11m

a)

110

b)

21

c)

100

d)

1110

134.

What is 11z - 12z

a)

1z

b)

-1z

c)

z

d)

-z

135.

What is 123xyz + 123xyz

a)

246xyz

b)

-256xyz

c)

256

d)

-256

136.

Identify like terms from following-

a)

1x,234z,2z

b)

12z,12x,12y

c)

11x,43x,560x

137.

Identify the unlike terms from following-

a)

12x,23,x,34x

b)

123a,89x,98y

c)

2,2,2

138.

A ______ has fixed value.

a)

Variable

b)

Constant

139.

Who am I?

My value is not fixed and changes.

a)

Constant

b)

Variable

140.

Identify the numerical coefficient of 1489xyz

a)

1489

b)

xyz

141.

Identify the literal coefficient of 567817xy

a)

xy

b)

567817

142.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
143.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
144.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
145.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
146.
Simplify.
2-3 ⋅ 2-4
a)
1/128
b)
2-7
c)
212
d)
27
147.
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
148.
Find the variable.
13 + q = 56
a)
43
b)
40
c)
q
d)
42
149.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
150.
5.    6b = 30
a)
x = 36
b)
x = 24
c)
x = 180
d)
x = 5
151.
-4x + 1 = 21
a)
x=120
b)
x=5
c)
x=30
d)
x=-5
152.

A circle has _______________ number of lines of symmetry.

a)

1

b)

2

c)

4

d)

Infinite

153.
a)

is symmetrical

b)

not symmetrical

154.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

155.

Symmetrical?

a)

Is symmetrical

b)

not symmetrical

156.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
157.
Which of the following alphabet has vertical line of symmetry?
a)
B
b)
E
c)
V
d)
S
158.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
159.

What is the mirror image of word 'MATHS'

a)
b)
c)
160.
What is the order of rotational symmetry for the shape below?
a)
4
b)
5
c)
6
d)
0
161.

Which shapes are symmetrical?

a)
b)
c)
162.

Half of the symmetric figure is given. Choose the other half of the given shape at the choices below.

a)
b)
c)
163.

What is the shape obtained at the center when you unfold the paper?

a)
b)
c)
164.
How many lines of symmetry does the picture have? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
3 lines of symmetry
165.
What shape am I?
a)
circle
b)
sphere
c)
cone
d)
cube
166.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
167.
The flat part of a 3D shape is called a...
a)
side
b)
face
c)
half
d)
3D
168.
What is the name of this figure?
a)
cylinder
b)
cone
c)
square pyramid
169.
What shape is this?
a)
Sphere
b)
Cube
c)
Rectangular Prism
d)
Circle
170.

The top view of a cone loos like

a)

A Circle

b)

A Square

c)

A Rectangle

d)

A Triangle

171.

The top view of a cube looks like a

a)

Circle

b)

Square

c)

Rectangle

d)

Triangle

172.

Number of vertices a cone has

a)

One

b)

Two

c)

Three

d)

Four

173.

The side view of a cone appears as

a)

Circle

b)

Square

c)

Rectangle

d)

Triangle

174.

The base of a prism is

a)

Circle

b)

Triangle

c)

Square

d)

Any shape

175.

the top view of a cuboid looks like

a)

circle

b)

square

c)

triangle

d)

none of the above

176.

What is it the object shape?

a)

Rectangular Prism

b)

Cone

c)

Cylinder

d)

Pyramid

177.

How many vertices a cone has

a)

two

b)

one

c)

three

d)

none of the above

e)

zero

178.

- Every individual flat surface of a solid is called its (a)  

179.

the top view of a cuboid looks like

a)

circle

b)

square

c)

triangle

d)

none of the above

180.

How many vertex does a cylinder has?

a)

one

b)

two

c)

three

d)

zero