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.

151.

P(x) ⁄ q(x) = r(s) ⁄ s(x) if and only p(x) s(x) = q(x) r(x) is known as

A. property of equality
B. property of cancellation
C. property of addition
D. property of multiplication
Answer» B. property of cancellation
152.

If specific numbers are substituted for the variables in an algebraic expression, the resulting number is called

A. value
B. polynomial
C. coefficient
D. degree
Answer» B. polynomial
153.

The degree of polynomial 3x³ + 2x² is

A. 1
B. 3
C. 2
D. 4
Answer» C. 2
154.

X² + 5x + 8 ⁄ x² - 9 is

A. rational expression
B. irrational expression
C. equation
D. formula
Answer» B. irrational expression
155.

Degree of polynomial means highest power of the

A. constant
B. variable
C. denominator
D. none of above
Answer» C. denominator
156.

If the product of two surds is a rational number, then each surd is said to be

A. rationalizing factor of each other
B. conjugate of each other
C. inverse of each other
D. coefficient of each other
Answer» B. conjugate of each other
157.

A² + b² + c² + 2ab + 2bc + 2ca is equal to

A. (a + b - c)²
B. (a + b + c)²
C. 2abc (a + b + c)²
D. (a - b + c)²
Answer» C. 2abc (a + b + c)²
158.

The rational expression is said to be in its lowest form if its HCF is

A. 0
B. 1
C. 2
D. 3
Answer» C. 2
159.

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

A. coefficient
B. numerator
C. denominator
D. highest coefficient
Answer» C. denominator
160.

(4 + √3)(4 − √3) is equal to

A. 11
B. 13
C. 15
D. 9
Answer» C. 15
161.

In intersection of sets if (A∩B)∩C = A∩(B∩C), then it is said to be

A. associative law
B. inverse law
C. transitive law
D. commutative law
Answer» E.
162.

Different number of ways to describe a set are

A. 3
B. 4
C. 5
D. 6
Answer» B. 4
163.

The set consisting of all the first elements of each ordered pair in the relation is called

A. subset
B. domain of relation
C. range of relation
D. Complement of a set
Answer» C. range of relation
164.

As per De Morgan's Law, (A ∪ B)' is equal to

A. A' ∩ B'
B. A' ∪ B'
C. (A ∩ B)'
D. A' + B'
Answer» B. A' ∪ B'
165.

The range of R = {(0, 2), (2, 4), (3, 4), (4, 5)} is

A. {0, 2, 4, 5}
B. {0, 2, 3, 4}
C. {2, 4, 5}
D. {3, 4, 5}
Answer» D. {3, 4, 5}
166.

Area of a parallelogram is equal to

A. base - altitude
B. base/altitude
C. base × altitude
D. base + altitude
Answer» D. base + altitude
167.

The part of the plane enclosed by the rectangle is called

A. area of rectangle
B. volume of rectangle
C. interior of rectangle
D. exterior of rectangle
Answer» D. exterior of rectangle
168.

If 2 angles of a triangle are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the

A. smaller angle
B. greater angle
C. right angle
D. its base
Answer» B. greater angle
169.

If a units and b units are the length and width of a rectangle, then its area should be

A. a + b
B. a &times b
C. a ⁄ b
D. a &times b sq units
Answer» E.
170.

The bisectors of the angles of a triangle are

A. concurrent
B. collinear
C. opposite
D. none of above
Answer» B. collinear
171.

(Profit + cost) price is equal to

A. selling price
B. loss
C. marked price
D. discount
Answer» B. loss
172.

(100 × Selling price) ⁄ 100 + profit % is called

A. cost price
B. marked price
C. profit
D. discount
Answer» B. marked price
173.

If the selling price of an item is greater than its cost price, then we earn

A. nothing
B. profit
C. loss
D. discount
Answer» C. loss
174.

(Loss ⁄ Cost Price) × 100 is equal to

A. discount
B. selling price
C. loss percentage
D. profit percentage
Answer» D. profit percentage
175.

(Discount ⁄ mp) × 100 is equal to

A. sales price
B. profit
C. discount percentage
D. none of above
Answer» D. none of above
176.

In a parallelogram opposite sides and opposite angles are

A. right bisectors
B. congruent
C. parallel
D. none of above
Answer» C. parallel
177.

A triangle that has no equal sides and no equal angles is known as

A. isosceles triangle
B. scalene triangle
C. equilateral triangle
D. right angle
Answer» C. equilateral triangle
178.

The study of geometrical shapes in the Cartesian plane is called

A. coordinate geometry
B. biometry
C. plane geometry
D. trigonometry
Answer» B. biometry
179.

In a right angled triangle, the square of the length of hypotenuse is equal to the sum of the square of the lengths of

A. any other 1 side
B. other 2 sides
C. sum of the smaller side
D. sum of the greater side
Answer» C. sum of the smaller side
180.

The line segment joining the midpoints of two sides of a triangle is parallel to the 3rd side and is equal to

A. double to its length
B. 3/4 of its length
C. 1/2 of its length
D. 2/3 of its length
Answer» D. 2/3 of its length
181.

As per properties of real numbers with respect to multiplication, ab = ba and ∀ a, b ∈ R is

A. additive inverse
B. associative property
C. commutative property
D. closure property
Answer» D. closure property
182.

The value of ι7 is

A. 1
B. −1
C. −ι
D. ι
Answer» E.
183.

Under property of equality of real numbers, ac = bc, c ≠ 0 then a = b and ∀ a, b, c ∈ R is called

A. additive property
B. cancellation property for multiplication
C. multiplicative property
D. cancellation property for addition
Answer» C. multiplicative property
184.

3√ is the example of

A. irrational numbers
B. rational numbers
C. integers
D. odd numbers
Answer» B. rational numbers
185.

As per properties of real numbers with respect to multiplication, ab ∈ R and ∀ a, b ∈ R is

A. associative property
B. commutative property
C. closure property
D. additive inverse
Answer» D. additive inverse
186.

If the number has one digit in the integral part, then its characteristic is

A. 1
B. 2
C. 0
D. 3
Answer» D. 3
187.

The distance from the Earth to the Sun is approx.

A. 150,000,000 km
B. 190,000,000 km
C. 180,000,000 km
D. 170,000,000 km
Answer» B. 190,000,000 km
188.

In the form of logarithm, ax = y can be written as

A. logy a = x
B. logy a = x
C. loga y = x
D. loga y = x
Answer» E.
189.

The decimal part of the common logarithm of a number is called

A. anti-logarithm
B. value
C. digits
D. mantissa
Answer» E.
190.

If a number has no zero immediately after the decimal point, the characteristic is

A. 0
B. 1
C. −1
D. none of above
Answer» D. none of above
191.

Any term of an equation may be taken to the other side with its sign changed, without effecting the equality, is called

A. resolution
B. factorization
C. transposition
D. substitution
Answer» D. substitution
192.

The solution of x + 3 < 9 is

A. x > 4
B. x < 6
C. x < 5
D. x = 6
Answer» C. x < 5
193.

A statement in which sign of equality “=” is used to link two algebraic expressions is called

A. formula
B. equation
C. fraction
D. matrix
Answer» C. fraction
194.

Two algebraic expressions joined by an inequality symbol is known as

A. inequality statement
B. equality statement
C. true statement
D. false statement
Answer» B. equality statement
195.

The symbol ≥ is used for

A. less than
B. greater than
C. less than and equal to
D. greater than and equal to
Answer» E.
196.

The price of a bracket fan is $15,060 including 15% excise duty. The original price of bracket fan is

A. 13900
B. 14500
C. 13096
D. 14800
Answer» D. 14800
197.

To pay a certain amount of tax as value added tax on the purchase of an item is known as

A. Indirect tax
B. direct tax
C. excise duty
D. sales tax
Answer» E.
198.

A motor bike price is $40,000 inclusive of 16% sales tax. The original price should be

A. 34000
B. 34483
C. 38000
D. 32000
Answer» C. 38000
199.

If the MP of a laptop is $22,000 and sales tax imposed is 16%. The total amount that has to pay is

A. 25520
B. 23000
C. 3520
D. 25000
Answer» B. 23000
200.

The price of a tricycle is $2,900 and sales tax is 16%. The amount of sales tax on 40 such tricycles should be

A. 18560
B. 19250
C. 18990
D. 20000
Answer» B. 19250