Free Printable MSM 9

1.

$\pi$ is ......................... number.

a)

Rational

b)

Irrational

c)

imaginary

d)

complex

2.

$8+\sqrt{2}$ is ..................... number

a)

an integer

b)

an irrational

c)

a rational

d)

None of these

3.

$\frac{3x^0-2}{x^0+1}$ on simplification becomes

a)

1

b)

2

c)

3

d)

$\frac{1}{2}$

4.

$7^{\frac{1}{2}}8^{\frac{1}{2}}$ is equal to

a)

$\left(56\right)^{\frac{1}{2}}$

b)

$\left(28\right)^{\frac{1}{2}}$

c)

$\left(15\right)^{\frac{1}{2}}$

d)

$\left(42\right)^{\frac{1}{2}}$

5.

$\frac{56}{1000}$ decimal form is

a)

0.56

b)

0.056

c)

0.0056

d)

5.6

6.

Every point on a number line represents

a)

a natural number

b)

a rational number

c)

one and only one real number

d)

an irrational number

7.

$15\sqrt{15}\div3\sqrt{3}=$

a)

$5\sqrt{3}$

b)

$3\sqrt{5}$

c)

$5\sqrt{5}$

d)

$3\sqrt{3}$

8.

1. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x 2 – 3x + 7 (ii) y 2 + 2 (iii) 3 2 t t + (iv) y + 2 y (v) x 10 + y 3 + t 50

a)

(ii) and (iii) are polynomials in one variable, (v) is a polynomial in three variables, (i), (iv) are not polynomials, because in each of these exponent of the variable is not a whole number.

b)

(i) and (ii) are polynomials in one variable, (v) is a polynomial in three variables, (iii), (iv) are not polynomials, because in each of these exponent of the variable is not a whole number.

c)

(iv) and (vii) are polynomials in one variable, (v) is a polynomial in three variables, (iii), (ii) are not polynomials, because in each of these exponent of the variable is not a whole number.

d)

(ii) and (iii) are polynomials in one variable, (vi) is a polynomial in three variables, (i), (iv) are not polynomials, because in each of these exponent of the variable is not a whole number.

9.

Which of these is in Standard Form?

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

10.

What is the number of zeroes of the polynomial y = p(x)?

a)

3

b)

2

c)

1

d)

0

11.

Polynomial or not?

a)

polynomial

b)

not a polynomial

12.

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

a)

0

b)

1

c)

2

d)

3

13.

x³-3x⁴-5x⁵ is a

a)

cubic polynomial

b)

4th degree polynomial

c)

5th degree polynomial

d)

none

14.

Which of these is in Standard Form?

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

15.

What is the number of zeroes of the polynomial y = p(x)?

a)

3

b)

2

c)

1

d)

0

16.

Polynomial or not?

a)

polynomial

b)

not a polynomial

17.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

18.

If one zero of the polynomial (a² + 9) x² + 13x + 6a is reciprocal of the other, find the value of ‘a’.

a)

3

b)

-3

c)

2

d)

0

19.

2. If p(x) = ax + b, then zero of p(x) is ________

a)

a/c

b)

-b,/a

c)

a

d)

b

20.

7. If P(x) = 2x ³ + 3x² – 11x + 6 , then find the value of P ( 1 )._____

a)

1

b)

2

c)

3

d)

0

21.

$If\ \alpha\ and\ \beta\$ are the zeroes of the quadratic polynomial $ax^2+bx+c,$ where a, b and c are the coefficients, $a\ne0$ , then the sum of the zeroes are

a)

$\frac{b}{a}$

b)

$\frac{a}{b}$

c)

$\frac{-b}{a}$

d)

$\frac{c}{a}$

22.

What is the number of zeroes of the polynomial y = p(x)?

a)

3

b)

2

c)

1

d)

0

23.

(99)^3

(a)

24.

What are the length and width of the rectangle?

a)

A
4x - 3 and x - 5

b)

B
4x + 3 and x - 5

c)

C
x + 3 and 4x - 5

d)

D
x - 3 and 4x - 5

25.

6) Degree of

a_0+a_1x+a_2x^2+a_3x^3+.......\ n\ terms

is _______________

a)

0

b)

3

c)

n

d)

n-1

26.

(a-b)^3

a)

a^3 -b^3-3ab(a-b)

b)

a^3 + b^3-3ab(a-b)

c)

a^3 - b^3+3ab(a-b)

d)

a^3 - b^3-3ab(a+b)

27.

$\left(4a+2b\right)^2=$

a)

$16a^2+8ab-4b^2$

b)

$16a^2-8ab-4b^2$

c)

$16a^2-8ab+4b^2$

d)

$16a^2+8ab+4b^2$

28.

What is a Linear equation

a)

Equation with degree 1

b)

Equation with degree 3

c)

Equation with degree 7

d)

Equation with degree 2

29.

How many solutions does a Linear equation in two variable would have?

a)

Only one

b)

Two solutions

c)

Five solutions

d)

Infinity

30.

Which of these equation proves that x=5, y=18?

a)

3x-y=2

b)

y-x=0

c)

3y-5x=29

d)

2x-5y=18

31.

The solution of equation x - 2y = 4 is

a)

(0,2)

b)

(2,0)

c)

(4,0)

d)

(1,1)

32.

Find the value of a, if x=1, y=2 is a solution of 4x+8y=a

a)

a=0

b)

a=9

c)

a=16

d)

a=20

33.

The graph of x=3 is a line

a)

Parallel to the x-axis

b)

Parallel to y-axis

c)

Data not enough

34.

The general form of linear equation in two variable is

a)

ax+bx+c=0

b)

ax+by+c=1

c)

ax+bx+c=1

d)

ax+by+c=0

35.

Find the solution of 3x-6y=(-48)

a)

2,0

b)

5,3

c)

0,8

d)

2,3

36.

An equation of the type _____________ represents a line passing through the orign

a)

x = a

b)

y = mx

c)

y = a

d)

None of the above

37.

Find the solutions of x + 2y = 6
[ more than one option ]

a)

(2,2)

b)

(0,3)

c)

(5,4)

d)

(4,1)

e)

(3,2)

38.

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

39.

x-coordinate of a point is also known as _____

a)

Ordinate

b)

Origin

c)

Abscissa

d)

Ordered pair

40.

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

a)

abscissa

b)

ordinate

c)

origin

d)

quadrant

41.

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

42.

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)

43.

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

a)

TRUE

b)

FALSE

44.

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)

45.

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

a)

I QUDRANT

b)

II QUADRANT

c)

III QUADRANT

d)

IV QUADRANT

46.

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

a)

+

b)

-

c)

±

d)

None of the above

47.

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

48.

What is a line?

a)

A straight set of points that goes on forever in both directions

b)

A curved set of points that goes on forever in both directions

c)

A straight set of points that goes on forever in one direction only

d)

A straight set of points that does not go on forever in either direction

49.

What is a line segment?

a)

A set of points that goes on forever in both directions

b)

A curved line that goes on in one direction forever

c)

A part of a line between two endpoints

50.

What is a ray?

a)

A straight line that goes on forever in both directions

b)

The part of a line with two endpoints that do not go on forever

c)

A part of a line that starts with an endpoint and goes on forever in the opposite direction

51.

What is the term for a dot that marks a location or place in space?

a)

point

b)

line

c)

line segment

d)

ray

52.

What does the image show?

a)

a ray

b)

a line

c)

a line segment

d)

a point

53.

Say 'TRUE' or 'FALSE'
If two circles are equal, then their radii are equal

a)

TRUE

b)

FALSE

54.

Say 'TRUE' or 'FALSE'
Two distinct intersecting lines cannot be parallel to the same line

a)

TRUE

b)

FALSE

55.

There is a unique line passing through 2 given points

a)

True

b)

False

56.

If x = y then 2x = 2y. Which is the axiom supporting the given statement

a)

Things which are equal to the same thing are equal to one another.

b)

Things which are double of the same things are equal to one another.

c)

Things which coincide with one another are equal to one another.

d)

If equals are added to equals, the wholes are equal.

57.

Which of the following needs a proof?

a)

Theorem

b)

Axiom

c)

Definition

d)

Postulate

58.

'Lines are parallel if they do not intersect' is stated in the form of_____

a)

An axiom

b)

A definition

c)

A postulate

d)

A proof

59.

Euclid divided his famous treatise 'The Elements' into___

a)

13 chapters

b)

12 chapters

c)

11 chapters

d)

9 chapters

60.

Euclid stated that all right angles are equal to each other in the form of ?

a)

Axiom

b)

Postulate

c)

definition

d)

Theorem

61.

Ram salary is equal to Mohan salary, Due to recession, the salaries of Ram and Mohan are made half. The final salary of Ram will still be equal to Mohan. This is are per

a)

Things which are equal to the same thing are equal to one another.

b)

Things which are halves of the same things are equal to one another.

c)

Things which coincide with one another are equal to one another.

d)

If equals are added to equals, the wholes are equal.

62.

It is known that if p+q=11 then p+q+r=11+r. The Euclid axioms that illustrates this statement is

a)

Things which are equal to the same thing are equal to one another.

b)

Things which are halves of the same things are equal to one another.

c)

Things which coincide with one another are equal to one another.

d)

If equals are added to equals, the wholes are equal.

63.

Say 'TRUE' or 'FALSE'
Only one line pass through a single point

a)

TRUE

b)

FALSE

64.

The number of dimensions, a solid has ____

a)

3

b)

1

c)

2

d)

0

65.

The number of dimensions a surface has ____

a)

1

b)

2

c)

3

d)

0

66.

Area of triangle 1= Area of triangle 2;

Area of Triangle 2= Area of triangle 3

then Area of triangle 1= Area of triangle 3

Which is the axiom supporting the given statement

a)

Things which are equal to the same thing are equal to one another.

b)

Things which are double of the same things are equal to one another.

c)

Things which coincide with one another are equal to one another.

d)

If equals are added to equals, the wholes are equal.

67.

There are ________ number of Euclid’s Postulates

a)

Three

b)

Four

c)

Five

68.

If m∠5 = 110°, find the measure of ∠6.

a)

70°

b)

110°

c)

75°

d)

65°

69.

If m∠7 = 60°, find the measure of ∠4.

a)

65°

b)

110°

c)

60°

d)

75°

70.

Classify the pair of angles shown.

a)

supplementary

b)

complementary

c)

vertical

d)

corresponding

71.

Classify the pair of angles shown.

a)

supplementary angles

b)

complementary angles

c)

vertical angles

d)

corresponding angles

72.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

73.

A line that passes through parallel lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

74.

Find x.

a)

130

b)

50

75.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

76.

What is the value of x?

a)

13

b)

6.2

c)

29.8

77.

Which pair of angles is an example of corresponding angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

78.

Which pair of angles is an example of alternate interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

79.

Which pair of angles is an example of alternate exterior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

80.

Which pair of angles is NOT an example of vertical angles?

a)

$\angle1\ and\ \angle4$

b)

$\angle6\ and\ \angle7$

c)

$\angle2\ and\ \angle5$

81.

What do you know about $\angle1$ and $\angle2$ ?

a)

They are congruent.

b)

They are supplementary.

82.

Which type of angles are NOT congruent?

a)

vertical angles

b)

corresponding angles

c)

consecutive interior angles

d)

alternate exterior angles

83.

Which is the correct equation to solve for x?

a)

$2x-10=4x+16$

b)

$2x-10+4x+16=180$

84.

Which of the following is not a criterion for congruence of triangles?

a)

SAS

b)

ASA

c)

SSA

d)

SSS

85.

If AB = QR, BC = PR and CA = PQ, then

a)

∆ ABC ≅ ∆ PQR

b)

∆ CBA ≅ ∆ PRQ

c)

∆ BAC ≅ ∆ RPQ

d)

∆ PQR ≅ ∆ BCA

86.

In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to

a)

40°

b)

80°

c)

50°

d)

130°

87.

In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is

a)

4cm

b)

5cm

c)

2cm

d)

2.5cm

88.

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

a)

isosceles but not congruent

b)

congruent but not isosceles

c)

isosceles and congruent

d)

neither congruent nor isosceles

89.

In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if

a)

BC = EF

b)

AC = DE

c)

AC = EF

d)

BC = DE

90.

All the medians of a triangle are equal in case of a:

a)

Scalene Triangle

b)

Right angled Triangle

c)

Equilateral triangle

d)

Isosceles Triangle

91.

In a triangle ABC, ∠B = 35° and ∠C = 60°, then

a)

∠A = 80°

b)

∠A = 85°

c)

∠A = 120°

d)

∠A = 145°

92.

In the given figure, PS is the median then ∠QPS?

a)

40^o

b)

50^o

c)

80^o

d)

90^o

93.

In the given figure, if the exterior angle is 135^o then ∠P is:

a)

45^o

b)

60^o

c)

80^o

d)

90^o

94.

Name the congruency criteria if given that two triangles have two corresponding sides & an included angle equal.

a)

SSS

b)

RHS

c)

SAS

d)

ASA

95.

Say 'TRUE' or 'FALSE'
The angles of a triangle may be 90°, 20°, 90°

a)

TRUE

b)

FALSE

96.

Which of the following is not a criteria for congruence of triangles?

a)

SAS

b)

ASA

c)

SSA

d)

SSS

97.

Which of the following is not a criteria for congruence of triangles?

a)

SAS

b)

ASA

c)

SSA

d)

SSS

98.

∆ABC ≅ ∆XYZ then by CPCT

a)

∠A=∠X, ∠B=∠Y, ∠C=∠Z

b)

∠A=∠Y, ∠B=∠X, ∠C=∠Z

c)

∠A=∠Z, ∠B=∠Y, ∠C=∠Y

99.

∆ ABC= ∆PQR, if BC=4cm, Angle B=60°and Angle C=70°, then which of the following is true.

a)

QR=4cm, Angle P=60°

b)

QR=4cm, Angle Q =66°

c)

QR=4cm, Angle R =60°

d)

b) PQ= 4cm. Angle Q=60°

100.

The point of intersection of all the three altitudes of a triangle is called

a)

perpendicular

b)

Median

c)

Bisector

d)

Orthocentre

101.

The point of intersection of all the three medians of a triangle is called

a)

Orthocentre

b)

Altitudes

c)

centroid

d)

bisectors

102.

A triangle in which one of the angles measures 90 degrees is called

a)

Acute angled

b)

Right-angled

c)

Obtuse angled

d)

Straight angled

103.

Two triangles are congruent if and only if

a)

their measures are equal.

b)

they have exactly the same shape and size

c)

superimposed on the other covers it exactly.

d)

when their lengths are equal.

104.

Two angles are congruent only when their measures are equal. Which is correct symbolically(Refer to the figure)

a)

$\angle ABC\ =\ \angle DEF$

b)

$\angle BAC\ \ =\ \angle FDE$

c)

$\angle BCA\ =\ \angle DEF$

105.

$If\ \ AB\ =\ QR,\ \ BC\ =\ RP\ and\ \ CA\ =\ PQ,\ Then\ \ \ which\ \ \ of\ \ \ the\ \ \ \ following\ \ \ \ \ holds\ ?$

a)

b)

c)

d)

106.

a)

BC = PQ

b)

AC = PR

c)

BC = QR

d)

AB = PQ

107.

a)

40

b)

50

c)

80

d)

100

108.

Which of the following is not a criterion for congruence of triangles?

a)

SAS

b)

ASA

c)

SSA

d)

RHS

109.

Two sides of a triangle are of length 4 cm and 2.5 cm. The length of the third side of the triangle cannot be

a)

6 cm

b)

6.5 cm

c)

5.5 cm

d)

6.3 cm

110.

The area of a right-angled triangle is ________

a)

$\frac{1}{2\ }\ b\ \times\ h$

b)

$\sqrt{\frac{3}{16}}\ a^{2\ }$

c)

$\frac{1}{4}\times b\times\sqrt{4a^{2\ }-\ b^2},\$

d)

$b\times\ h$

111.

The area of an equilateral triangle is ________

a)

$\frac{\sqrt{3}}{4}\ a$

b)

$\frac{1}{4}$ $\sqrt{3\ a}$

c)

$\sqrt{\frac{3}{4}a}$

d)

$\frac{\sqrt{3}}{4}\ a^2$

112.

We can find the area of a scalene triangle if _______

a)

two sides are given

b)

three sides are given

c)

not possible

d)

do not have an idea

113.

Using Heron's Formula, find the Area.

a)

56

b)

28

c)

24.2

d)

104.4

114.

The area of any triangle given its sides p cm, q cm, r cm is ____, where 's' represents the semi-perimeter.

a)

$\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}\ cm$

b)

$\sqrt{s\left(s-p\right)\left(s-q\right)\left(s-r\right)}\ m$

c)

$\sqrt{s\left(s-p\right)\left(s-q\right)\left(s-r\right)}\ cm^2$

d)

$\sqrt{\left(s-p\right)\left(s-q\right)\left(s-r\right)}\ cm^2$

115.

If the sides of a triangle are 3, 4, and 5, what is the semi-perimeter?

a)

3

b)

6

c)

9

d)

12

116.

If the sides of a triangle are 12, 5, and 2. What is the area?

a)

12

b)

40.65

c)

19

d)

This triangle does not exist

117.

$16\sqrt{3}\ cm^2$ is the area of an equilateral triangle , then the perimeter of the triangle is

a)

$48\ cm$

b)

$24\ cm$

c)

$12\ cm$

d)

$36\ cm$

118.

If the perimeter of an equilateral triangle is 60 m, then the area is _______

a)

$100\sqrt{3}\ m^2$

b)

$10\sqrt{3}\ m^2$

c)

$15\sqrt{3}\ m^2$

d)

$20\sqrt{3}\ m^2$

119.

The area of an isosceles triangle having a base of 2 cm and a length of one of equal sides 4 cm is _______sq. cm

a)

$\sqrt{15}$

b)

$\frac{\sqrt{15}}{2}$

c)

$2\sqrt{15}$

d)

$4\sqrt{15}$

120.

An isosceles right triangle has an area of 8 sq. cm. The length of its hypotenuse is _____ cm

a)

$\sqrt{32}$

b)

$\sqrt{16}$

c)

$\sqrt{48}$

d)

$\sqrt{24}$

MSM 9

Total questions: 120

Worksheet time: 2hrs 41mins

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