Free Printable Mathematics

1.

What is a repeating decimal or decimal that terminates called ?

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

2.

Which of the following is not a part of the set of rational numbers ?

a)

-42

b)

5/0

c)

0

d)

14.7

3.

To convert a whole number into a rational number put it over_________

a)

10

b)

0

c)

1

d)

100

4.

Which of the following statements is true?

a)

Every rational number is an integer

b)

Every whole number is a natural number

c)

Every integer is a whole number

d)

Every whole number is a rational number

5.

Out of the given numbers , which number is a natural, whole, integer, rational, and real number ?

a)

-4

b)

5.1

c)

0.7

d)

3

6.

$\frac{3}{5+2\sqrt{3}}$ can be expressed with rational denominator as ________________________ ?

a)

$\frac{15\ -\ 6\ \sqrt{3}}{13}$

b)

$\frac{15\ -6\sqrt{3}}{37}$

c)

$\frac{6\sqrt{3\ }\ -15}{13}$

d)

$\frac{6\sqrt{3}\ -15}{37}$

7.

What is the value of $3^{-3}$ ?

a)

27

b)

$\frac{1}{27}$

c)

-27

d)

$\frac{-1}{27}$

8.

What is the value of (3 - √3) (2 - √2) ?

a)

6 - √6

b)

6 -2√3 - 3√2 + √6

c)

6 + √6

d)

6 -2√3 - 3√2 - √6

9.

What is the value of 5√3 × √12 ?

a)

30

b)

6

c)

√180

d)

15√12

10.

√5 is an irrational number. Which of the following operations on it will give a rational number?

a)

Multiplying by $\sqrt{5}$ and then adding $\sqrt{5}$ .

b)

adding undefined and then multiplying by undefined .

c)

adding $\frac{1}{\sqrt{5}}$ to it.

d)

multiplying it by $\sqrt{9}$

11.

Which of the following is a rational number between 15 and 16 ?

a)

$\frac{63}{4}$

b)

$\frac{15}{2}$

c)

$\frac{16}{2}$

d)

$\frac{31}{5}$

12.

Which of the following is the symbol used to denote the collection of rational numbers ?

a)

N

b)

Z

c)

W

d)

Q

13.

How many rational numbers are there between any two given rational numbers ?

a)

100

b)

10

c)

1000

d)

None of the above is correct

e)

Infinitely Many

14.

What is the product of 6 $\sqrt{5}$ and 2 $\sqrt{5}$ ?

a)

12 $\sqrt{5}$

b)

60

c)

4 $\sqrt{5}$

d)

3

15.

Which of the following gives a rational number ?

a)

$\pi\ +2$

b)

$\pi\times\pi$

c)

$\pi-\ 2$

d)

$\pi\times0$

16.

Consider the polynomial p(x) = 5x³ – 2x² + 3 x – 2.

p(1)=

a)

-4

b)

4

c)

3

d)

none of these

17.

Find a zero of the polynomial p(x) = 2x + 1.

a)

1/2

b)

0

c)

-1/2

d)

none of these

18.

Find the remainder obtained on dividing p(x) = x³ + 1 by x + 1.

a)

0

b)

1

c)

2

d)

3

19.

Check whether the polynomial

q(t) = 4t³ + 4t ² – t – 1 is a multiple of

2t + 1.

a)

no

b)

cannot be determined

c)

yes

d)

none of these

20.

1.

Find the remainder when

x³ – ax² + 6 x – a is divided by x – a.

a)

a

b)

2a

c)

-5a

d)

5a

21.

Find the value of k, if x – 1 is a factor of 4x³ + 3x² – 4x + k.

a)

3

b)

0

c)

-3

d)

none of these

22.

Evaluate 105 × 106 without multiplying directly

a)

11130

b)

11103

c)

330111

d)

none of these

23.

Find the degree of each of the polynomial given below:

x⁵ – x⁴ + 3

a)

4

b)

5

c)

1

d)

9

24.

Divide the polynomial 3x⁴ – 4x³ – 3x –1 by x – 1.

remainder is?

a)

5

b)

3

c)

-5

d)

2

25.

Factorise y² +5y -6

a)

(y+6)(y-1)

b)

(y+3)(y+2)

c)

(y-3)(y+2)

d)

(y – 2)(y – 3)

26.

Fill in the blanks:
Point (0 , -7) lies______

a)

on the x-axis

b)

in the second quadrant

c)

on the y-axis

d)

in the fourth quadrant

27.

x-coordinate of a point is also known as _____

a)

Ordinate

b)

Origin

c)

Abscissa

d)

Ordered pair

28.

The point at which the two coordinate axes meet is called ______

a)

abscissa

b)

ordinate

c)

origin

d)

quadrant

29.

If y-coordinate of a point is zero, then this point always lies:

a)

in I quadrant

b)

in II quadrant

c)

on x - axis

d)

on y - axis

30.

The point whose ordinate is 4 and which lies on y-axis is _____

a)

(4 , 0)

b)

(0 , 4)

c)

(1 , 4)

d)

(2, 4)

31.

Say 'TRUE' or 'FALSE'
Point (1 , -1) and (-1 , 1) lies in the same quadrant

a)

TRUE

b)

FALSE

32.

What is the mirror image of (3 , 9) considering x-axis as mirror?

a)

(3 , -9)

b)

(9 , 3)

c)

(-9 , -3)

d)

(-3 , -9)

33.

Name the quadrant in which the point (-5 , -4) lie

a)

I QUDRANT

b)

II QUADRANT

c)

III QUADRANT

d)

IV QUADRANT

34.

The sign of x-coordinate of a point lying in the IV quadrant is

a)

+

b)

-

c)

±

d)

None of the above

35.

The figure obtained by plotting the points (2 ,3), (-2, 3), (-2, -3) and (2, -3) is _________

a)

Trapezium

b)

Rectangle

c)

Square

d)

Rhombus

36.

What is the distance of the point (-3, -4) from x axis

a)

3

b)

4

c)

7

d)

12

37.

Say 'TRUE' or 'FALSE'
The points (-3 , 0), (0 , 0) and (0 , 2) are collinear

a)

TRUE

b)

FALSE

38.

What is the distance of the point (3, 4) from the origin?

a)

5

b)

4

c)

6

d)

7

39.

The distance between the points A(0 ,6) and B(0 , -2) is _____

a)

6

b)

4

c)

8

d)

16

40.

Mid point of line segment joining points (-2 ,4) and (6, 10) is _____

a)

(2, 5)

b)

(2 , 7)

c)

(3 , 7)

d)

(3, 8)

41.

Name the quadrant in which the point (-2 , 3) lies

a)

I QUADRANT

b)

II QUADRANT

c)

III QUADRANT

d)

IV QUADRANT

42.

a)

(3, 0)

b)

(0, 3)

c)

(0 , -3)

d)

(-3, 0)

43.

If three points are collinear, then the area of the triangle formed by these points will be ____

a)

Equal to zero

b)

Non zero

44.

a)

14

b)

15

c)

16

d)

7

45.

a)

5

b)

4

c)

3

d)

6

46.

The equation y = 3x + 5 has _____

a)

A unique solution

b)

Only two solutions

c)

Three solutions

d)

Infinitely many solutions

47.

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

a)

4

b)

5

c)

6

d)

2

48.

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

a)

(2 ,0)

b)

(0 ,3)

c)

(3 ,0)

d)

(0, 2)

49.

The equation x = 7 in two variables can be written as ____

a)

1.x + 1 .y = 7

b)

1.x + 0.y = 7

c)

0.x + 1. y = 7

d)

0.x + 0.y = 7

50.

The graph of the line x = 6 is a line___

a)

parallel to x -axis at a distance of 6 untis from origin

b)

parallel to y-axis at a distance of 6 units from the origin

c)

making an intercept 6 on the x-axis

d)

making an intercept 6 on both the axis

51.

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____

a)

Changes

b)

Remains the same

c)

Changes in case of multiplication only

d)

Changes in case of division only

52.

How many linear equations in x and y can be satisfied by x = 1 and y = 2

a)

Only one

b)

Two

c)

Infinitely many

d)

Three

53.

The graph of ax + by + c = 0 is _____

a)

A straight line parallel to x - axis

b)

A straight line parallel to y - axis

c)

A general straight line

d)

A line in the 2nd and 3rd quadrant

54.

The graph of the linear equation in two variables y = mx is _____

a)

a line parallel to x - axis

b)

a line parallel to y - axis

c)

a line passes through the origin

d)

not a straight line

55.

The point of the form (a , -a) always lies on the line____

a)

x = a

b)

y = - a

c)

y = x

d)

x + y = 0

56.

What kind of lines are shown?

a)

parallel lines

b)

perpendicular lines

c)

straight lines

d)

open lines

57.

What kind of lines are shown?

a)

parallel lines

b)

perpendicular lines

c)

straight lines

d)

open lines

58.

What does the image show?

a)

a line

b)

a line segment

c)

a ray

d)

a point

59.

What does the image show?
(The whole thing, not just the points)

a)

a ray

b)

a line

c)

a line segment

d)

a point

60.

What does this image show?

a)

parallel lines

b)

perpendicular lines

c)

intersecting lines

d)

line segments

61.

What type of angle is this?

a)

acute

b)

obtuse

c)

right

62.

$\angle1\$ and $\angle2$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

63.

$\angle8$ and $\angle6$ are __.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

64.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

65.

$\angle3\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

66.

$\angle7\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

67.

$\angle4$ and $\angle8$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

68.

$\angle5$ and $\angle6$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

69.

$\angle1\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

70.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

71.

$\angle1\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

72.

NO OF PARALLEL SIDES IN A TRAPEZOID?

a)

2

b)

3

c)

1

d)

4

73.

In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

a)

70°

b)

110°

c)

55°

d)

130°

74.

For two triangles, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. Then the congruency rule is:

a)

SSS

b)

ASA

c)

SAS

d)

AAS

75.

A triangle in which two sides are equal is called:

a)

Scalene triangle

b)

Equilateral triangle

c)

Isosceles triangle

d)

None of the above

76.

The angles opposite to equal sides of a triangle are:

a)

Equal

b)

Unequal

c)

Supplementary angles

d)

Complementary angles

77.

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively. Then:

a)

BE>CF

b)

BE<CF

c)

BE=CF

d)

None of the above

78.

If E and F are the midpoints of equal sides AB and AC of a triangle ABC. Then:

a)

BF=AC

b)

BF=AF

c)

CE=AB

d)

BF = CE

79.

If ABC and DBC are two isosceles triangles on the same base BC. Then:

a)

∠ABD = ∠ACD

b)

∠ABD > ∠ACD

c)

∠ABD < ∠ACD

d)

None of the above

80.

If ABC is an equilateral triangle, then each angle equals to:

a)

a. 90°

b)

B.180°

c)

c. 120°

d)

d. 60°

81.

If AD is an altitude of an isosceles triangle ABC in which AB = AC. Then:

a)

BD=CD

b)

b. BD>CD

c)

c. BD<CD

d)

d. None of the above

82.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

83.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

84.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

85.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

86.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

87.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

88.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

89.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

90.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

91.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

92.

How many circles are possible through three non-collinear points

a)

Only one

b)

Two

c)

Three

d)

Many

93.

Say 'TRUE' or 'FALSE'
The diameter is the longest chord of a circle

a)

TRUE

b)

FALSE

94.

A cyclic parallelogram is a ______

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

95.

Angle in a semicircle is a

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

None of the above

96.

Say 'TRUE' or 'FALSE'
If non-parallel sides of a trapezium are equal, then it is cyclic

a)

TRUE

b)

FALSE

97.

The region between the a chord and either of the arcs is called____

a)

An arc

b)

A sector

c)

A segment

d)

A semi

98.

a)

∠APB + ∠AQB = 180°

b)

∠APB + ∠AQB = 90°

c)

∠APB = ∠AQB

d)

None of the above

99.

a)

50°

b)

45°

c)

60°

d)

40°

100.

A ____ drawn from the centre of a circle to the chord, bisects the chord.

a)

Arc

b)

Angle

c)

Perpendicular line

d)

Diagonal

101.

a)

3cm

b)

2cm

c)

4cm

d)

1cm

102.

One side of an equilateral triangle is 4 cm. The area of the triangle is _______

a)

16 √3 cm²

b)

8 √3 cm²

c)

4 √3 cm²

d)

√3 cm²

103.

The perimeter of an equilateral triangle is 60 cm. Find the length of its sides.

a)

30 cm

b)

20 cm

c)

15 cm

d)

10 cm

104.

The length of equal sides of an ISOSCELES RIGHT TRIANGLE is √2 cm. Find the length of its hypotenuse

a)

4 cm

b)

8 cm

c)

2 cm

d)

None of the above

105.

The area of ΔABC in which AB = AC = 4 cm and ∠A = 90° is ________

a)

8 cm²

b)

16 cm²

c)

10 cm²

d)

32 cm

106.

a)

₹ 3255

b)

₹ 32.55

c)

₹ 32550

d)

None of the above

107.

The perimeter of a triangle is 36cm and its sides are in the ration 3 : 4 : 5. Then the sides are____

a)

6 cm, 9 cm, 12 cm

b)

9 cm, 12 cm, 15 cm

c)

12 cm, 15 cm, 18 cm

d)

None of the above

108.

If each side of an equilateral triangle is 6 cm, the semi perimeter will be

a)

8 cm

b)

9 cm

c)

10 cm

d)

11 cm

109.

If length of two equal sides of an ISOSCELES triangle is 5m each and its Semi perimeter is 9 m, the length of third side will be

a)

5 m

b)

6 m

c)

7 m

d)

8 m

110.

Which option is INCORRECT ?

Heron's Formula is used to find the area of triangle when

a)

Three sides are given

b)

Two sides & perimeter is given

c)

Height is given

d)

Two sides & semi perimeter is given

111.

Find the area of the given Triangle

a)

4 sq.m

b)

5 sq.m

c)

6 sq.m

d)

7 sq.m

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

a)

A

b)

B

c)

C

d)

D

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D

119.

a)

A

b)

B

c)

C

d)

D

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

The difference between the maximum and minimum values of a variable is called ____

a)

Range

b)

Variate

c)

Frequency

d)

None of the above

128.

Say 'TRUE' or 'FALSE'
In a histogram the area of each rectangle is proportional to the class size of the corresponding class interval

a)

TRUE

b)

FALSE

129.

The closed curve representing continuous grouped frequency distribution is called___

a)

Frequency Polygon

b)

Histogram

c)

Frequency curve

d)

None of the above

130.

Find the median of the given data (which are arranged in ascending order)
0,3,3,4,5,7,8,11,12

a)

5

b)

4

c)

7

d)

6

131.

In the class interval 10-20, 20 - 30, the number 20 is included in _____

a)

10 - 20

b)

20 - 30

c)

Both the intervals

d)

None of these intervals

132.

The class mark of the class 16 - 24 is ______

a)

16

b)

24

c)

20

d)

None of the above

133.

The class marks of a frequency distribution are given as : 15, 20, 25, ....
The class corresponding to the class mark 20 is _____

a)

12.5 - 17.5

b)

17.5 - 22.5

c)

18.5 - 21.5

d)

19.5 - 20.5

134.

The mean of x -1 , x + 1, x + 3 and x + 5 is _______

a)

x + 1

b)

x + 2

c)

x + 3

d)

x + 4

135.

a)

21

b)

5

c)

10

d)

15

136.

If each observation of the data is increased by 5, then their mean___

a)

remains the same

b)

becomes 5 times the original mean

c)

is decreased by 5

d)

is increased by 5

137.

Calculate the RANGE for the data set: 6, 7, 12, 8, 7, 4, 8, 8, 7

a)

7

b)

7.44

c)

8

d)

7 and 8

138.

The graph below shows the number of sunny days and rainy days in a city during four months.

Based on the graph,how many more sunny days than rainy days did this city have during the months of April, May, and June?

a)

21

b)

56

c)

26

d)

20

139.

For how many weeks was the data collected?

a)

48

b)

50

c)

52

d)

54

140.

How many total people took the survey?

a)

50

b)

150

c)

100

d)

200

141.

How many students are between 60 and 63 inches tall?

a)

3

b)

0

c)

12

d)

7

142.

How many students have more than 1,000 songs on their MP3 player?

a)

5

b)

16

c)

10

d)

4

143.

Given both table above are marks obtained by 20 students in Math out of 25. What are different between the tables?

a)

A: Cumulative frequency

B: Ungrouped frequency distribution table

b)

A: Ungrouped frequency distribution table

B: Grouped frequency distribution table

c)

A: Ungrouped frequency distribution table

B: Cumulative frequency

d)

A: Grouped frequency distribution table

B: Cumulative frequency

144.

What is class width of the following frequency distribution?

a)

3

b)

4

c)

5

d)

19

145.

Use the frequency histogram to determine the class width

a)

7

b)

8

c)

9

d)

10

146.

Which interval has 400 employees?

a)

33-43

b)

0-10

c)

77-87

d)

66-76

147.

In the class interval 10-20, 20 - 30, the number 20 is included in _____

a)

10 - 20

b)

20 - 30

c)

Both the intervals

d)

None of these intervals

148.

Write the class mark of an interval 90 – 120.

a)

105

b)

110

c)

95

d)

100

149.

If x be the mid-point and 1 be the upper class limit of a class in a continuous frequency distribution. What is the lower limit of the class?

a)

x – 1

b)

3x + 8

c)

2x + 2

d)

2x – 1

150.

Class mark and the class size of the class interval are 25 and 10 respectively,then the class interval is

a)

20-30

b)

30-40

c)

40-50

d)

50-60

Mathematics - Final Exam

Total questions: 150

Worksheet time: 3hrs 22mins

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