Explore topic-wise MCQs in Grade9.

This section includes 497 Mcqs, each offering curated multiple-choice questions to sharpen your Grade9 knowledge and support exam preparation. Choose a topic below to get started.

101.

The conjugate of 6 + 3ι is

A. &minus6 + 3ι
B. &minus6-3ι
C. 6-3ι
D. 6 + 3ι
Answer» D. 6 + 3ι
102.

Under property of equality of real numbers, a = a and ∀ a ∈ R is called

A. reflexive property
B. symmetric property
C. additive property
D. transitive property
Answer» B. symmetric property
103.

The decimal representation are neither terminating nor repeating in blocks for

A. rational numbers
B. irrational numbers
C. linear fraction
D. quadratic fraction
Answer» B. irrational numbers
104.

As per properties of real numbers with respect to addition, (a + b) c + = a + (b + c) and ∀ a, b, c ∈ R is

A. closure property
B. associative property
C. additive inverse
D. commutative property
Answer» C. additive inverse
105.

The numbers a + bι and a - bι are said to be

A. factors of each other
B. additive inverse of each other
C. multiplicative inverse of each other
D. conjugate of each other
Answer» E.
106.

√6 + √2 is an example of

A. monomial surd
B. trinomial surd
C. binomial surd
D. conjugate surd
Answer» D. conjugate surd
107.

P(x) ⁄ q(x) + r(s) ⁄ s(x) = p(x) s(x) + q(x) r(x) ⁄ q(x) s(x) is called

A. property of equality
B. property of division
C. property of addition
D. property of multiplication
Answer» D. property of multiplication
108.

The quotient p(x) ⁄ q(x) of two polynomials p(x) and q(x), where q(x)≠0 is called

A. rational expression
B. irrational expression
C. polynomial
D. coefficient
Answer» B. irrational expression
109.

An irrational radical with rational radicand is called

A. equation
B. sentence
C. formula
D. surd
Answer» E.
110.

Every surd is a/an

A. irrational number
B. rational number
C. equation
D. coefficient
Answer» B. rational number
111.

To add or subtract a positive number from both sides of any inequality without any change in the inequality sign is called

A. distributive property of inequality
B. multiplicative property of inequality
C. additive property of inequality
D. transitive property of inequality
Answer» D. transitive property of inequality
112.

For real number ‘x’ the absolute value is denoted by

A.
B. | x |
C. 1 ⁄ x
D. −t
Answer» C. 1 ⁄ x
113.

The value of ‘x’ in 6x-4 = 3x + 8 should be

A. 3
B. 6
C. 5
D. 4
Answer» E.
114.

When the variable in an equation occurs under a radical, the equation is said to be

A. quadratic equation
B. radical equation
C. linear equation
D. fraction
Answer» C. linear equation
115.

In √(2x-3) - 7 = 0, the value of x should be

A. 24
B. 26
C. 23
D. 20
Answer» C. 23
116.

Two angles in a triangle are 63° and 57°. The ratio of 3rd angle to the first 2 should be

A. 3 : 4
B. 2 : 1
C. 1 : 2
D. 5 : 6
Answer» D. 5 : 6
117.

If there are 500 Computers in an outlet and 60% of them are P1, the number of P1 are

A. 250
B. 300
C. 350
D. 200
Answer» C. 350
118.

The ratio of 10 dollars each to 84 dollars per dozen is

A. 7 : 8
B. 8 : 7
C. 42 : 5
D. 5 : 42
Answer» C. 42 : 5
119.

14 buffaloes consume 63kg hay in 18 days. The number of buffaloes to eat 770kg of hay in 28 days should be

A. 120 cows
B. 100 cows
C. 115 cows
D. 110 cows
Answer» E.
120.

In what ratio 50 m² be decreased to 25 m²

A. 1 : 5
B. 1 : 2
C. 2 : 1
D. 5 : 3
Answer» D. 5 : 3
121.

π is a

A. rational number
B. irrational number
C. natural number
D. whole number
Answer» B. irrational number
122.

The union of the set of rational and irrational numbers is known as

A. the set of real numbers
B. set of irrational numbers
C. set of rational numbers
D. set of prime numbers
Answer» B. set of irrational numbers
123.

For all a, b, c ∈ R, (a + b) c = ac + bc is said to be

A. left multiplicative law
B. right multiplicative law
C. left distributive law
D. right distributive law
Answer» E.
124.

ι² is equal to

A. −1
B. ι
C. 1
D. 0
Answer» D. 0
125.

In a + 0 = a = 0 + a and ∀ a ∈ R then ‘0’ is called

A. additive identity
B. additive inverse
C. associative property
D. commutative property
Answer» B. additive inverse
126.

A pair of equations to determine the value of 2 variables is called

A. simultaneous linear equations
B. paired equations
C. quadratic equations
D. simple equations
Answer» B. paired equations
127.

The law which does not hold in multiplication of matrices is known as

A. distributive law
B. Inverse law
C. associative law
D. commutative law
Answer» E.
128.

If the number of columns and rows are not equal in a matrix, then it is said to be a

A. rectangular matrix
B. square matrix
C. diagonal matrix
D. null matrix
Answer» B. square matrix
129.

In the rational expression p(x) ⁄ q(x), q(x) is known as

A. denominator
B. highest coefficient
C. coefficient
D. numerator
Answer» B. highest coefficient
130.

In proper of division, p(x) ⁄ q(x) ÷ r(x) ⁄ s(x) is equal to

A. p(x) s(x) ⁄ q(x) r(x)
B. p(x) s(x) × q(x) r(x)
C. p(x) s(x) + q(x) r(x)
D. p(x) s(x) − q(x) r(x)
Answer» B. p(x) s(x) × q(x) r(x)
131.

The factors of x² - 4 are

A. (x + 2)(x + 2)
B. (x + 2)(x-2)
C. (x-2)(x-2)
D. (x + 1)(x-2)
Answer» C. (x-2)(x-2)
132.

The surds to be added or subtracted should be

A. a fraction
B. non-similar
C. similar
D. none of above
Answer» D. none of above
133.

The simplest form of the surd √18 ⁄ √3 √2 is

A. 3
B. √&minus3
C. √5
D. √3
Answer» E.
134.

A surd which contains a single term is called

A. monomial surd
B. trinomial surd
C. binomial surd
D. conjugate surd
Answer» B. trinomial surd
135.

√5 is an example of

A. monomial surd
B. trinomial surd
C. binomial surd
D. conjugate surd
Answer» B. trinomial surd
136.

The conjugate of 3 - √5 is

A. 3 + √5
B. −3 - √5
C. 3 + 5
D. √3 - 5
Answer» B. −3 - √5
137.

If x = 4 - √15 then the value of 1 ⁄ x should be

A. −4 + √15
B. −4 - √15
C. 4 + √15
D. 0
Answer» C. 4 + √15
138.

(a + b)² − (a - b)² is equal to

A. 2ab
B. a² - b²
C. 4ab
D. a² + b²
Answer» D. a² + b²
139.

By rationalizing the denominator of 3 ⁄ 4√3, we get

A. √3 ⁄ 4
B. 3 ⁄ 4
C. √3
D. 4√3
Answer» B. 3 ⁄ 4
140.

The coefficient an of the highest power is called

A. smallest coefficient
B. zero coefficient
C. highest coefficient
D. degree
Answer» D. degree
141.

2 binomial surds of second order differing only in sign connecting their terms are known as

A. trinomial surds
B. rational numbers
C. conjugate surds
D. monomial surds
Answer» D. monomial surds
142.

If a + b = 5 and a - b = √17 then the value of ab should be

A. 3
B. 2
C. 5
D. 4
Answer» C. 5
143.

The simplest form of the surd √180 is

A. 6√3
B. 6√5
C. 6
D. 5
Answer» C. 6
144.

The additive inverse of p(x) ⁄ q(x) is

A. q(x) ⁄ p(x)
B. − p(x) ⁄ q(x)
C. p(x) - q(x)
D. p(x) + q(x)
Answer» C. p(x) - q(x)
145.

A³ + 3ab(a + b) + b³ is equal to

A. (a - b)³
B. (a + b)³
C. a³ + b³
D. a³-b³
Answer» C. a³ + b³
146.

A³-3ab(a - b) - b³ is equal to

A. (a - b)³
B. (a + b)³
C. a³ + b³
D. a³-b³
Answer» B. (a + b)³
147.

P(x)k ⁄ q(x)k = p(x) ⁄ q(x) is known as

A. property of addition
B. property of cancellation
C. property of multiplication
D. property of division
Answer» C. property of multiplication
148.

P(x) ⁄ q(x) × r(x) ⁄ s(x) = p(x) r(x) ⁄ q(x) s(x) is called

A. property of equality
B. property of division
C. property of addition
D. property of multiplication
Answer» E.
149.

P(x) ⁄ q(x) - r(s) ⁄ s(x) = p(x) s(x) - q(x) r(x) ⁄ q(x) s(x) is called

A. property of subtraction
B. property of addition
C. property of multiplication
D. property of equality
Answer» B. property of addition
150.

If a + b = 5 and a - b = 3 then the value of a² + b² should be

A. 21
B. 15
C. 17
D. 11
Answer» D. 11