Explore topic-wise MCQs in Grade10.

This section includes 259 Mcqs, each offering curated multiple-choice questions to sharpen your Grade10 knowledge and support exam preparation. Choose a topic below to get started.

101.

If U = {1,2,3,4,5} and A = {2,4} then A' should be

A. {2,4,5}
B. {2,4}
C. {1,2,3,4,5}
D. {1,3,5}
Answer» E.
102.

If 2 sets A and B are given, then the set consisting of all the elements which are either in A or in B or in both is called

A. Intersection of A and B
B. union of A and B
C. Complement of A
D. Complement of B
Answer» C. Complement of A
103.

If b² - 4ac > 0, and perfect square, then roots of ax² + bx + c = 0 are

A. irrational
B. imaginary
C. rational
D. equal
Answer» D. equal
104.

A root of an equation, which do not satisfy the equation is called

A. square root
B. reflective root
C. extraneous root
D. complex root
Answer» D. complex root
105.

Standard form of quadratic equation is

A. ax + bx + c = 0
B. ax² + bx + c = 0
C. ax² + bx - c = 0
D. ax² + bx + c = −1
Answer» C. ax² + bx - c = 0
106.

An equation involving expression under the radical sign is known as

A. linear equation
B. radical equation
C. quadratic equation
D. complex equation
Answer» C. quadratic equation
107.

Nature of the roots depends on the value of b² - 4ac is known as

A. discriminant
B. square root
C. quadratic formula
D. completing square method
Answer» B. square root
108.

Tanθ equals to

A. 1 ⁄ cosecθ
B. 1 ⁄ secθ
C. 1 ⁄ cosθ
D. 1 ⁄ cotθ
Answer» E.
109.

Cosec²θ - cot²θ equals to

A. 1
B. -1
C. 0
D. tanθ
Answer» B. -1
110.

π radians are equal to

A. 180°
B. 360°
C. 90°
D. 270°
Answer» B. 360°
111.

In an angle, the rays of the angle are known as

A. arms
B. vertex
C. point of intersection
D. initial side
Answer» B. vertex
112.

A part of the circumference of a circle is called

A. segment
B. radius
C. sector
D. arc
Answer» E.
113.

By rotating a ray from one position to another to make an angle, the final position is called

A. vertex
B. initial side
C. terminal side
D. point of intersection
Answer» D. point of intersection
114.

The value of 5π ⁄ 6 into degrees should be

A. 135°
B. 90°
C. 120°
D. 150°
Answer» E.
115.

Secθcotθ equals to

A. sinθ
B. 1 ⁄ cosθ
C. 1 ⁄ sinθ
D. sinθ ⁄ cosθ
Answer» D. sinθ ⁄ cosθ
116.

Angles between 270° and 360° lies in

A. 1st quadrant
B. 2nd quadrant
C. 3rd quadrant
D. 4th quadrant
Answer» E.
117.

Sin²θ + cos²θ equals to

A. 1
B. 0
C. 0.5
D. 2
Answer» B. 0
118.

A well defined collection of objects is known as

A. population
B. fraction
C. equation
D. set
Answer» E.
119.

If 2, x, 8 are in continued proportional, then value of x should be

A. ±2
B. ±4
C. 2
D. 4
Answer» C. 2
120.

The value of third proportional to 4, 12 should be

A. 33
B. 34
C. 35
D. 36
Answer» E.
121.

If 4 quantities a, b, c and d are related as a : b : : c : d then d is called

A. third proportional
B. fourth proportional
C. mean proportional
D. continued proportional
Answer» C. mean proportional
122.

The value of third proportional to a³, 3a² should be

A. 9a
B. 12a
C. 9a²
D. 12a²
Answer» B. 12a
123.

If 3 quantities a, b and c are related as a : b : : b : c, then a, b and c are in

A. third proportional
B. fourth proportional
C. mean proportional
D. continued proportional
Answer» E.
124.

A polygon having 8 sides is called

A. hexagon
B. nonagon
C. decagon
D. octagon
Answer» E.
125.

A polygon having 10 sides is called

A. decagon
B. heptagon
C. quadrilateral
D. hexagon
Answer» B. heptagon
126.

The surface area of hollow cylinder with radius ‘r’ and height ‘h’ is measured by

A. 2πr - h
B. 2πr + h
C. πrh
D. 2πrh
Answer» E.
127.

Two lines that make an angle are called

A. scalene
B. rays
C. segment
D. vertex
Answer» C. segment
128.

Vertical angles that are opposite to each other are also

A. not equal
B. opposite
C. scalene
D. equal
Answer» E.
129.

A polynomial of degree ‘2’ is called

A. zero polynomial
B. cubic polynomial
C. linear polynomial
D. quadratic polynomial
Answer» E.
130.

If x - a is a factor of P(x), then P(a) should be

A. 1
B. 0
C. a
D. −a
Answer» C. a
131.

Factorization of x³ + 8 is equal to

A. (x + 2)(x² - x + 2)
B. (x + 2)(x² + x - 2)
C. (x + 2)(x² - 2x + 4)
D. (x + 2)(x² + 2x + 4)
Answer» D. (x + 2)(x² + 2x + 4)
132.

A polynomial of degree ‘3’ is called

A. zero polynomial
B. cubic polynomial
C. linear polynomial
D. quadratic polynomial
Answer» C. linear polynomial
133.

Factorization of a(a - b + c) - bc is equal to

A. (a - b)(a + c)
B. (a - b)(a - c)
C. (a + b)(a + c)
D. (a - b)(a - c)
Answer» B. (a - b)(a - c)
134.

The union of two non-collinear rays with some common end point is called

A. vertex
B. angle
C. degree
D. radius
Answer» C. degree
135.

We can divide the circumference of a circle into

A. 180 equal arcs
B. 360 equal arcs
C. 270 equal arcs
D. 90 equal arcs
Answer» C. 270 equal arcs
136.

The value of 240° into radians should be

A. 4π ⁄ 3
B. 3π ⁄ 4
C. π ⁄ 4
D. π ⁄ 6
Answer» B. 3π ⁄ 4
137.

The system in which the angles are measured in radians is called

A. CGS system
B. MKS system
C. circular system
D. sexagesimal system
Answer» D. sexagesimal system
138.

Angles between 0° and 90° lies in

A. 2nd quadrant
B. 3rd quadrant
C. 1st quadrant
D. 4th quadrant
Answer» D. 4th quadrant
139.

Cotθ equals to

A. 1 ⁄ cosecθ
B. 1 ⁄ secθ
C. 1 ⁄ cosθ
D. 1 ⁄ tanθ
Answer» E.
140.

Cosθ equals to

A. 1 ⁄ cosecθ
B. 1 ⁄ secθ
C. 1 ⁄ tanθ
D. 1 ⁄ cotθ
Answer» C. 1 ⁄ tanθ
141.

Sinθ equals to

A. 1 ⁄ cosecθ
B. 1 ⁄ secθ
C. 1 ⁄ cosθ
D. 1 ⁄ tanθ
Answer» B. 1 ⁄ secθ
142.

In an angle, the common end point is known as

A. vertex
B. point of intersection
C. initial side
D. terminal side
Answer» B. point of intersection
143.

If length is 52 cm and θ is 45°, the radius should be

A. 56.7 cm
B. 60 cm
C. 66.21 cm
D. 49 cm
Answer» D. 49 cm
144.

A measure that determines a value of the variable under study by dividing the sum of all values of the variable by their number is called

A. Arithmetic mean
B. standard deviation
C. mid-point
D. median
Answer» B. standard deviation
145.

A frequency polygon is a many sided

A. rectangle
B. triangle
C. histogram
D. closed figure
Answer» E.
146.

The successive averages which are computed for a sequence of days/months/years at a time is called

A. fixed averages
B. weighted averages
C. moving averages
D. standard averages
Answer» D. standard averages
147.

Sum of the deviations of a variable from its mean is always

A. 0
B. 1
C. 2
D. 5
Answer» B. 1
148.

The positive square root of the mean of the squared deviations of some observations from their arithmetic mean is called

A. standard deviation
B. variation
C. median
D. mode
Answer» B. variation
149.

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

A. 4
B. 5
C. 3
D. 6
Answer» B. 5
150.

In expressions ax + by and 8x - 4y, x and y are

A. variables
B. coefficients
C. exponents
D. powers
Answer» B. coefficients