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.

451.

An identity that enables us to enlarge the number system to contain solution of every algebraic equation of the form x² = −a is known as

A. logarithm
B. iota
C. radical
D. anti-logarithm
Answer» C. radical
452.

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

A. left multiplicative law
B. right multiplicative law
C. left distributive law
D. right distributive law
Answer» D. right distributive law
453.

The decimal fraction in which some digits are repeated again and again in same order in its decimal part is called

A. quadratic fraction
B. terminating decimal fraction
C. non-terminating decimal fraction
D. linear fraction
Answer» D. linear fraction
454.

Every real number is

A. a positive integer
B. a rational number
C. a complex number
D. a negative number
Answer» D. a negative number
455.

If two opposite sides of a quadrilateral are congruent and parallel, it is a

A. triangle
B. hexagon
C. rectangle
D. parallelogram
Answer» E.
456.

Midpoint of the points (2, −2) and (−2, 2) should be

A. (2, −2)
B. (−2, −2)
C. (0, 0)
D. (1, 1)
Answer» D. (1, 1)
457.

A triangle that has 2 equal sides and 2 equal angles is known as

A. isosceles triangle
B. equilateral triangle
C. scalene triangle
D. right angle
Answer» B. equilateral triangle
458.

The study of geometrical shapes in a simple plane is called

A. coordinate geometry
B. biometry
C. plane geometry
D. trigonometry
Answer» D. trigonometry
459.

A triangle that has 3 equal sides and 3 equal angles is known as

A. scalene triangle
B. isosceles triangle
C. right angle triangle
D. equilateral triangle
Answer» E.
460.

In a + (-a) = 0 = (-a) + a, ‘-a’ is called

A. additive identity
B. additive inverse
C. associative property
D. commutative property
Answer» C. associative property
461.

A−1 and 1 ⁄ a are called

A. additive identity
B. multiplicative identity
C. additive inverse
D. multiplicative inverse
Answer» E.
462.

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

A. transitive property
B. multiplicative property
C. symmetric property
D. additive property
Answer» C. symmetric property
463.

The number in the form z = a + bι where a, b ∈ R and i = √−1 is called a

A. rational number
B. complex number
C. integer
D. prime number
Answer» C. integer
464.

The real numbers are represented geometrically on

A. frequency distribution
B. pi chart
C. number line
D. column graph
Answer» D. column graph
465.

If r = 10, an = 100, a = 1 then ‘n’ should be equal to

A. 2
B. 1
C. 4
D. 3
Answer» E.
466.

The arithmetic mean between √5 and 3√5 is

A. 2√5
B. 4√5
C. √5
D. 5
Answer» B. 4√5
467.

If a = 4, an = 110, d = 2, then the value of n should be

A. 51
B. 52
C. 53
D. 54
Answer» E.
468.

Three arithmetic means between 11 and 19 are

A. 12, 14, 15
B. 13, 15, 17
C. 13, 14, 15
D. 14, 15, 17
Answer» C. 13, 14, 15
469.

Geometric mean is calculated by

A. ± √ab
B. ± ab
C. (a + b)²
D. a - b ⁄ 2
Answer» B. ± ab
470.

If A, B and C matrices are of same order and (a + b) + C = A + (b + c), this law is known as

A. Cramer's law
B. distributive law
C. commutative law
D. associative law
Answer» E.
471.

Horizontally arranged elements in a matrix is called

A. columns
B. rows
C. determinants
D. transpose
Answer» C. determinants
472.

The idea of matrices was introduced by Arthur Caylet in

A. 18th century
B. 19th century
C. 20th century
D. 21st century
Answer» C. 20th century
473.

A matrix obtained by changing the rows into columns or vice versa is called

A. additive inverse of A
B. transpose of A
C. determinant of A
D. order of A
Answer» C. determinant of A
474.

In real numbers, the additive identity is

A. 1
B. 3
C. 0
D. −1
Answer» D. −1
475.

The part of the plane enclosed by the triangle is called

A. area of triangle
B. volume of triangle
C. interior of triangle
D. exterior of triangle
Answer» D. exterior of triangle
476.

If 1 side of a parallelogram is taken as its base, the perpendicular distance between that side and the side parallel to it is known as

A. width
B. altitude or height
C. angle
D. volume
Answer» C. angle
477.

To draw a ray to divide the given angle into 2 equal parts is known as

A. congruent
B. trisection
C. bisection
D. segment
Answer» D. segment
478.

A rectangular region can be divider in to 2 or more

A. squares
B. triangular regions
C. rectangular regions
D. quadrilaterals
Answer» C. rectangular regions
479.

The right bisectors of the sides of a triangle are

A. collinear
B. concurrent
C. reflective
D. isosceles
Answer» C. reflective
480.

√−1, √−5 are said to be

A. pure imaginary numbers
B. non-imaginary numbers
C. recurring decimal numbers
D. finite numbers
Answer» B. non-imaginary numbers
481.

Set of integers is denoted by

A. N
B. W
C. A
D. Z
Answer» E.
482.

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

A. associative property
B. commutative property
C. closure property
D. additive inverse
Answer» D. additive inverse
483.

The set of whole numbers is denoted by

A. O
B. N
C. W
D. P
Answer» D. P
484.

In z = a + bι, if i is replaced by −ι, then another complex number obtained is said to b

A. additive inverse of z
B. prime factor of z
C. Complex conjugate of z
D. multiplicative inverse of z
Answer» D. multiplicative inverse of z
485.

A binomial surd can be also obtained by adding a monomial surd and a

A. zero
B. conjugate surd
C. rational number
D. irrational number
Answer» D. irrational number
486.

If p(x)≠0 and q(x)≠0 then the multiplicative inverse of p(x) ⁄ q(x) is

A. p(x) - q(x)
B. p(x) + q(x)
C. q(x) ⁄ p(x)
D. − p(x) ⁄ q(x)
Answer» D. − p(x) ⁄ q(x)
487.

When operations of addition and subtraction are applied to algebraic terms, we get

A. polynomial
B. algebraic expression
C. logarithm
D. none of above
Answer» C. logarithm
488.

The conjugate surd of x + √y is defined as

A. −x - √ y
B. x - √ y
C. −x + √ y
D. x + y
Answer» C. −x + √ y
489.

1 ⁄ x-y − 1 ⁄ x + y is equal to

A. 2x ⁄ x² - y²
B. 2y ⁄ x² - y²
C. −2x ⁄ x² - y²
D. −2y ⁄ x² - y²
Answer» C. −2x ⁄ x² - y²
490.

The geometric mean of 2, 4 and 8 is

A. 3
B. 5
C. 2
D. 4
Answer» E.
491.

The harmonic mean of 3, 4 and 8 is

A. 3.43
B. 3
C. 4
D. 8
Answer» B. 3
492.

The positive square root of the mean of the squared deviations of the values from their mean is known as

A. standard deviation
B. median
C. variance
D. harmonic mean
Answer» B. median
493.

The monthly income of 5 persons are 3000, 5000, 4000, 2000 and 6000. Their arithmetic mean should be

A. 4000
B. 6000
C. 5000
D. 3500
Answer» B. 6000
494.

3rd quartile is also known as

A. lower quartile
B. upper quartile
C. median
D. geometric mean
Answer» C. median
495.

(3x + 4y)(9x² −12xy + 16y²) is equal to

A. 27x³ + 64y³
B. 27x³ - 64y³
C. 64x³ + 27y³
D. 64x³ - 27y³
Answer» B. 27x³ - 64y³
496.

If a specific number x = a is substituted for the variable x in a polynomial, so that the value is zero, then x = a is said to be

A. zero of the polynomial
B. zero coefficient
C. conjugate surd
D. rational number
Answer» B. zero coefficient
497.

The factors of x4 - 16 are

A. (x-2)(x + 2)(x² + 4)
B. (x + 2)(x² + 4)
C. (x-2)(x² + 4)
D. (x-4)(x + 4)(x² + 4)
Answer» B. (x + 2)(x² + 4)