Quiz about Grade IX Mid Term Quiz 2023

Question 1

There are ____________ acute angles in an acute angled triangle.

Accepted Answer

three

Answer

two

Answer

one

Answer

none of these

Question 2

The diagonals of a rectangle are ____________ to each other.

Accepted Answer

bisect

Answer

trisect

Answer

bisect at right angle

Answer

none of these

Question 3

The bisector of the angles of a triangle are ____________.

Accepted Answer

concurrent

Answer

collinear

Answer

do not intersect

Answer

unequal

Question 4

______ is called the additive identity

Accepted Answer

0

Answer

1

Answer

2

Answer

-1

Question 5

Factors of $$x^2+3x-10\ $$ are:

Accepted Answer

$$\left(x-2\right)\left(x+5\right)$$

Answer

$$\left(x+2\right)\left(x+5\right)$$

Answer

$$\left(x-2\right)\left(x-5\right)$$

Answer

$$\left(x+2\right)\left(x-5\right)$$

Question 6

Simplified form of $$\frac{1}{x+y}+\frac{y}{x^2-y^2}\ $$ is:

Accepted Answer

$$\frac{x}{x^2-y^2}$$

Answer

$$\frac{y+1}{x^2-y^2}$$

Answer

$$\frac{y}{x^2-y^2}$$

Answer

$$\frac{x+y}{x^2-y^2}$$

Question 7

Solution set of $$x^2+10x+24=0\ $$ is:

Accepted Answer

$$\left\{-6,-4\right\}$$

Answer

$$\left\{-6,4\right\}$$

Answer

$$\left\{6,4\right\}$$

Answer

$$\left\{6,-4\right\}$$

Question 8

The Quadratic Formula for $$ax^2+bx+c=0\ $$ is:

Accepted Answer

$$\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$$

Answer

$$\frac{-b-\sqrt[]{b^2-4ac}}{2}$$

Answer

$$\frac{b\pm\sqrt[]{b^2-4ac}}{2a}$$

Answer

$$\frac{-b\pm\sqrt[]{b^2+4ac}}{2a}$$

Question 9

Standard form of Quadratic equation is:

Accepted Answer

$$ax^2+bx+c=0$$

Answer

$$ax^2+c=0$$

Answer

$$ax^2+bx=0$$

Answer

$$ax^3+bx^2+c=0$$

Question 10

Degree of quadratic equation is:

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 11

The HCF of $$\left(x-y\right)^4$$ and $$\left(x-y\right)^3$$ is:

Accepted Answer

$$\left(x-y\right)^3$$

Answer

$$x-y$$

Answer

$$\left(x-y\right)^4$$

Answer

none of these

Question 12

The LCM of $$27a^4b^5c^2$$ and $$81ab^2c^8$$ is:

Accepted Answer

$$81a^4b^5c^8$$

Answer

$$27a^4b^5c^8$$

Answer

$$27ab^2c^2$$

Answer

$$81ab^2c^2$$

Question 13

$$\left(a,b\right)\left(c,d\right)=\ $$ _________.

Accepted Answer

$$\left(a+c,b+d\right)$$

Answer

$$\left(a+b,c+d\right)$$

Answer

$$\left(ac,bd\right)$$

Answer

$$\left(ab,cd\right)$$

Question 14

$$\frac{3^5}{3^2}=\ $$ ________

Accepted Answer

$$3^3$$

Answer

$$3^5$$

Answer

$$3^2$$

Answer

none of these

Question 15

HCF X LCM =

Accepted Answer

$$p\left(x ight) imes q\left(x ight)$$

Answer

$$p\left(x\right)$$

Answer

$$q\left(x\right)$$

Answer

$$p\left(x\right)+q\left(x\right)$$

Question 16

Radical form of $$\left(5^3\right)^{\frac{1}{7}}$$ is:

Accepted Answer

$$\sqrt[7]{5^3}$$

Answer

$$5^{21}$$

Answer

$$5^{10}$$

Answer

$$\sqrt[3]{5^7}$$

Question 17

Exponential form of $$\sqrt[9]{27}$$ is:

Accepted Answer

$$27^{\frac{1}{9}}$$

Answer

$$27^9$$

Answer

$$9^{27}$$

Answer

27

Question 18

The solution set of $$\left(x-7\right)\left(x+9\right)=0$$ is:

Accepted Answer

{7,-9}

Answer

$$\left\{7,9\right\}$$

Answer

{-7,9}

Answer

{-7,-9}

Question 19

In $$\left(-30\right)^{20}$$ , -30 is _____

Accepted Answer

base

Answer

exponent

Answer

index

Answer

radicand

Question 20

$$i^2=$$ ______

Accepted Answer

-1

Answer

1

Answer

i

Answer

0

Question 21

Factors of $$x^3+y^3\ $$ is:

Accepted Answer

$$\left(x+y\right)\left(x^2-xy+y^2\right)$$

Answer

$$\left(x-y\right)\left(x^2+xy+y^2\right)$$

Answer

$$\left(x+y\right)\left(x^2+xy+y^2\right)$$

Answer

$$\left(x+y\right)\left(x^2+xy-y^2\right)$$

Question 22

$$a^0=\ $$ ____

Accepted Answer

1

Answer

0

Answer

a

Answer

2

Question 23

$$\left(\sqrt[]{ab}\right)^2-\left(\sqrt[]{c}\right)^2=$$ ________

Accepted Answer

$$\left(\sqrt[]{ab}+\sqrt[]{c}\right)\left(\sqrt[]{ab}-\sqrt[]{c}\right)$$

Answer

$$\sqrt[]{ab}-\sqrt[]{c}$$

Answer

$$\left(ab+c\right)\left(ab-c\right)$$

Answer

none of these

Question 24

$$11 imes\left(15 imes21 ight)=\left(11 imes15 ight) imes21$$ , name the property used

Accepted Answer

Associative

Answer

Commutative

Answer

Distributive

Answer

Closure

Question 25

$$\sqrt[]{-7} imes\sqrt[]{-7}=$$ ______

Accepted Answer

7

Answer

-7

Answer

7i

Answer

-7i

Question 26

In $$2i\left(3-i\right)$$ , the real part is __________.

Accepted Answer

2

Answer

6i

Answer

2i

Answer

3

Question 27

$$\left(5i\right)\left(-2i\right)=\ $$ _________.

Accepted Answer

10

Answer

-10

Answer

-10i

Answer

10i

Question 28

The conjugate of $$-1-3i$$ is:

Accepted Answer

-1+3i

Answer

1+3i

Answer

1-3i

Answer

none of these

Question 29

$$\pi$$ is a/an _______ number.

Accepted Answer

irrational

Answer

rational

Answer

prime

Answer

composite

Question 30

Measure of one side of an equilateral triangle is 6cm, then the length of its median is ________ 9cm.

Accepted Answer

less than

Answer

greater than

Answer

equal to

Answer

none of these

Question 31

$$\left\{\left(z^3\right)^2\right\}^4$$ = ________

Accepted Answer

$$z^{24}$$

Answer

$$z^9$$

Answer

$$z^{10}$$

Answer

$$z^{20}$$

Question 32

$$x^3-8y^3=$$ ______

Accepted Answer

$$\left(x-2y\right)\left(x^2+2xy+4y^2\right)$$

Answer

$$\left(x-2y\right)\left(x^2-2xy+y^2\right)$$

Answer

$$\left(x-2y\right)\left(x^2-2xy-y^2\right)$$

Answer

$$\left(x+2y\right)\left(x^2-2xy+y^2\right)$$

Question 33

_________ of the sides of an acute angled triangle intersect each other inside the triangle.

Accepted Answer

The right bisector

Answer

Penpendicular

Answer

Obtuse

Answer

Acute

Question 34

An point equidistant from the end point of a line segment is on the __________ of it.

Accepted Answer

Right bisector

Answer

Perpendicular

Answer

Centre

Answer

Mid-point

Question 35

In $$\sqrt[5]{x^2yz}$$ , 5 is ________

Accepted Answer

index

Answer

radicand

Answer

exponent

Answer

none of these

Question 36

$$\sqrt[]{\left(7x+9y\right)^2}=$$ _________

Accepted Answer

$$7x+9y$$

Answer

$$\sqrt[2]{7x+9y}$$

Answer

$$\sqrt[]{7x+9y}$$

Answer

none of these

Question 37

There are _______ methods to be used to find the HCF of polynomials.

Accepted Answer

two

Answer

three

Answer

one

Answer

four

Question 38

$$5^x=5^2$$ , then the value of x is:

Accepted Answer

2

Answer

5

Answer

10

Answer

7

Question 39

$$a^3+3a^2b+3ab^2+b^3=$$

Accepted Answer

$$\left(a+b\right)^3$$

Answer

$$a^3+b^3$$

Answer

$$a^3+b$$

Answer

$$a+b^3$$

Question 40

$$4x+16y+24z=$$ _________

Accepted Answer

$$4\left(x+4y+6z\right)$$

Answer

$$2\left(2x+8y+12z\right)$$

Answer

$$4xy\left(1+4y+6\right)$$

Answer

none of these

Question 41

An equation involving expression under the radical sign is called a

Accepted Answer

radical equation

Answer

exponential equation

Answer

reciprocal equation

Answer

polynomial equation

Question 42

$$a^0=$$ ________

Accepted Answer

1

Answer

0

Answer

a

Answer

-a

Question 43

$$y^2-\frac{1}{y^2}=_{ }$$ _________

Accepted Answer

$$\left(y+\frac{1}{y}\right)\left(y-\frac{1}{y}\right)$$

Answer

$$y-\frac{1}{y}$$

Answer

$$y+\frac{1}{y}$$

Answer

$$\left(y-\frac{1}{y}\right)\left(y-\frac{1}{y}\right)$$

Question 44

$$4a^2-9b^2=$$ _________

Accepted Answer

$$\left(2a+3b\right)\left(2a-3b\right)$$

Answer

$$\left(4a^2+9b^2\right)\left(4a^2-9b^2\right)$$

Answer

$$\left(4a+9b\right)\left(4a-9b\right)$$

Answer

$$\left(2a^2+3b^2\right)\left(2a^2-3b^2\right)$$

Question 45

An equation of the form $$2x^2-3x^3+7x^2-3x+2=0\ $$ is called a/an

Accepted Answer

Polynomial equation

Answer

Reciprocal equation

Answer

Radical equation

Answer

Exponential equation

Question 46

$$\frac{a}{\sqrt[]{a}}=$$ _______

Accepted Answer

$$\sqrt[]{a}$$

Answer

a

Answer

$$\frac{1}{a}$$

Answer

$$-\frac{a}{\sqrt[]{a}}$$

Question 47

$$a^2+b^2+c^2+2ab+2bc+2ca=$$ __________

Accepted Answer

$$\left(a+b+c\right)^2$$

Answer

$$\left(a+b-c\right)^2$$

Answer

$$\left(a-b-c\right)^2$$

Answer

$$\left(a-b+c\right)^2$$

Question 48

The sum of two real real numbers is ________ number.

Accepted Answer

real

Answer

complex

Answer

rational

Answer

irrational

Question 49

The solution set of equation $$4x^2-16=0$$ is:

Accepted Answer

$$\left\{\pm2\right\}$$

Answer

$$\left\{\pm4\right\}$$

Answer

$$\left\{4\right\}$$

Answer

none of these

Question 50

$$3+\left(-3\right)=$$ _________

Accepted Answer

0

Answer

1

Answer

6

Answer

-1

Question 51

The __________ of a right angle is longer than each of the other two sides.

Accepted Answer

hypotenuse

Answer

base

Answer

adjacent

Answer

perpendicular

Question 52

Recognize the property of real number used in $$\frac{2}{5}+\frac{3}{7}=\frac{3}{7}+\frac{2}{5}$$

Accepted Answer

commutative property

Answer

associative property

Answer

distributive property

Answer

additive identity

Question 53

Polynomial equation, which remains unchanged when x is replaced by $$\frac{1}{x}$$ is called a/an

Accepted Answer

Reciprocal Equation

Answer

Exponential Equation

Answer

Radical Equation

Answer

none of these

Question 54

$$\sqrt[]{3}$$ is an example of ________ number.

Accepted Answer

irrational

Answer

rational

Answer

prime

Answer

none of these

Question 55

$$\left[\left(-4\right)^2\right]^5$$ =_________

Accepted Answer

$$4^{10}$$

Answer

$$-4^7$$

Answer

$$4^7$$

Answer

$$-4^3$$

Question 56

__________ is called the multiplication identity

Accepted Answer

1

Answer

0

Answer

2

Answer

10

Question 57

The multiplicative inverse of $$\frac{9}{\sqrt[]{12}}$$ is:

Accepted Answer

$$\frac{\sqrt[]{12}}{9}$$

Answer

$$\frac{12}{9}$$

Answer

$$-\frac{9}{\sqrt[]{12}}$$

Answer

$$\frac{9}{12}$$

Question 58

How many maximum roots of Quadratic Equation are:

Accepted Answer

2

Answer

3

Answer

1

Answer

4

Question 59

In right-angled triangle, largest angle is:

Accepted Answer

$$90^0$$

Answer

$$30^0$$

Answer

$$45^0$$

Answer

$$60^0$$

Question 60

If $$a+b=5$$ and $$a-b=3$$ , the the value of $$a^2+b^2$$ is

Accepted Answer

17

Answer

10

Answer

8

Answer

12

Grade IX Mid Term Quiz 2023

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