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.

1.

Any value of the variable which makes the equation a true statement is called the

A. formula
B. solution
C. fraction
D. transposition
Answer» C. fraction
2.

| 5 | should be equal to

A. 5
B. −5
C. 0
D. 1 ⁄ 5
Answer» B. −5
3.

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
4.

An equation which contains the square of the unknown variable quantity, but no higher power is called

A. quadratic equation
B. linear equation
C. simple equation complex equation
D. complex equation
Answer» B. linear equation
5.

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

A. irrational
B. real
C. equal
D. rational
Answer» C. equal
6.

The solution set of equation x² - 4 = 0 is

A. {±4}
B. {4}
C. {±2}
D. {2}
Answer» D. {2}
7.

If b² - 4ac > 0, and not a perfect square then roots of ax² + bx + c = 0 are

A. imaginary
B. rational
C. equal
D. irrational
Answer» E.
8.

Roots of the equation 9x² - 9x + 1 = 0 are

A. real, equal
B. real, unequal
C. imaginary
D. irrational
Answer» B. real, unequal
9.

If X = {1, 2, 3, 4, 5} and Y = {2, 4, 5, 6, 8} then X - Y equals to

A. {6, 8}
B. {1, 3}
C. {4, 5}
D. {1, 6}
Answer» C. {4, 5}
10.

If A = {2, 3, 4, 5, 6} and B = {4, 5, 6, 7} then A∩B should be

A. {2, 3, 4, 5, 6, 7}
B. {4, 5, 6, 7}
C. {4, 5, 6}
D. {0}
Answer» D. {0}
11.

In algebra, we use alphabets such as a, b, c to denote

A. operational signs
B. constants
C. any numerical value
D. polynomial
Answer» C. any numerical value
12.

An irrational number that contains a radical sign is known as

A. fraction
B. mode
C. surd
D. variable
Answer» D. variable
13.

Skew symmetric matrix is also called

A. symmetric
B. identical matrix
C. square matrix
D. anti symmetric
Answer» E.
14.

Angles that sum up to 180° are known as

A. complementary angles
B. reflective angles
C. supplementary angles
D. vertical angles
Answer» D. vertical angles
15.

In terms of radius, a diameter is equals to

A. 2 + r
B. 2r
C. r ⁄ 2
D. 2 ⁄ r
Answer» C. r ⁄ 2
16.

A polygon having 5 sides is called

A. pentagon
B. hexagon
C. nonagon
D. decagon
Answer» B. hexagon
17.

A line from the center to the circumference of a circle is known as

A. diameter
B. radius
C. area
D. midpoint
Answer» C. area
18.

A system of equations having a common solution is called a system of

A. CGS system
B. MKS system
C. simultaneous equations
D. hyperbolic equations
Answer» D. hyperbolic equations
19.

When a circle is drawn through its four vertices, a quadrilateral is said to be

A. non-cyclic
B. cyclic
C. collinear
D. non-collinear
Answer» C. collinear
20.

The quotient of two numbers or algebraic expressions is called a

A. proportion
B. ratio
C. fraction
D. variation
Answer» D. variation
21.

Two chords of a circle which are equidistant from the center are

A. collinear
B. non-collinear
C. non-congruent
D. congruent
Answer» E.
22.

A line segment determined by the center and a point on the circle is called

A. radial segment
B. diameter
C. chord
D. radius
Answer» B. diameter
23.

Factorization of x4 + 4 is equal to

A. (x² + 2 + 2x)(x² + 2 + 2x)
B. (x² + 2 + 2x)(x² + 2 - 2x)
C. (x² + 2 + 4x)(x² + 2 - 4x)
D. (x² + 2 + x)(x² + 2 - x)
Answer» C. (x² + 2 + 4x)(x² + 2 - 4x)
24.

A polynomial of degree ‘1’ is called

A. zero polynomial
B. cubic polynomial
C. linear polynomial
D. quadratic polynomial
Answer» D. quadratic polynomial
25.

The exterior angles of any polygon sum up to

A. 90°
B. 180°
C. 270°
D. 360°
Answer» E.
26.

A line going through the midpoint from one side to the other side of a circle is called

A. angle
B. area
C. radius
D. diameter
Answer» E.
27.

Area of a rectangle with base ‘b’ and height ‘h’ is measured by

A. b × h
B. b + h
C. b ⁄ h
D. h ⁄ b
Answer» B. b + h
28.

Perimeter of a rectangle with base ‘b’ and height ‘h’ is measured by

A. 2 × b ⁄ h
B. 2(h + b)
C. 2(b - h)
D. 2(h - b)
Answer» C. 2(b - h)
29.

According to theorem of Invertendo, if a : b = c : d then

A. b : a = d : c
B. a : c = b : d
C. a : d = b : c
D. a + b = c + d
Answer» B. a : c = b : d
30.

The types of variations are

A. 1
B. 2
C. 3
D. 4
Answer» C. 3
31.

If u²∝1 ⁄ v³ then the value of u² should be

A. k ⁄ v³
B. 1 ⁄ v³
C.
D. kv³
Answer» B. 1 ⁄ v³
32.

The set of all the ordered pair (x, y) which satisfies the system of equations is called

A. solution set
B. null set
C. complex set
D. subset
Answer» B. null set
33.

The angle subtended between any two chords of a circle, having common point on its circumference is called

A. circumangle
B. right angle
C. supplementary angle
D. complementary angle
Answer» B. right angle
34.

The opposite angles of any quadrilateral inscribed in a circle are

A. tangent
B. supplementary
C. complementary
D. reflective
Answer» C. complementary
35.

The locus of a point in a plane equidistant from a fixed point is known as

A. triangle
B. rectangle
C. hexagon
D. circle
Answer» E.
36.

The two straight lines in the same plane which never meet are called

A. angles
B. transversal lines
C. vertex
D. parallel lines
Answer» E.
37.

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

A. third proportional
B. fourth proportional
C. mean proportional
D. continued proportional
Answer» B. fourth proportional
38.

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

A. third proportional
B. fourth proportional
C. mean proportional
D. continued proportional
Answer» D. continued proportional
39.

The value of fourth proportional to 5, 8, 15 should be

A. 21
B. 22
C. 24
D. 26
Answer» D. 26
40.

The value of mean proportional to 20, 45 should be

A. ±30
B. −30
C. −900
D. ±900
Answer» B. −30
41.

The order of matrix [2 3] is

A. 2 - by - 1
B. 2 - by - 2
C. 1 - by - 2
D. 1 - by - 1
Answer» D. 1 - by - 1
42.

The unit of ratio is

A. cm
B. inches
C. no unit
D. radians
Answer» D. radians
43.

According to theorem of alternando if a : b = c : d then

A. b : a = d : c
B. a : c = b : d
C. a : d = b : c
D. a + b = c + d
Answer» C. a : d = b : c
44.

An equation involving only a linear polynomial is called a

A. linear equation
B. quadratic equation
C. simultaneous equation
D. in-equal equation
Answer» B. quadratic equation
45.

Any new equation obtained by raising both members of an equation to the same power may have solutions is called

A. extraneous solutions
B. absolute value
C. radical signs
D. simultaneous equation
Answer» B. absolute value
46.

If x = 0 then | x | is equal to

A. x
B. 0
C. 1
D. −x
Answer» C. 1
47.

The functions in which roots involved are such that the value of the expressions remain unaltered, when they are interchanged are called

A. A - symmetric functions
B. symmetric functions
C. hyperbolic functions
D. synthetic function
Answer» C. hyperbolic functions
48.

An expression of the form N(x) ⁄ D(x), where N and D are polynomial in x with real coefficients and D(x) not equal to zero is called

A. proper fraction
B. rational fraction
C. irrational fraction
D. improper fraction
Answer» C. irrational fraction
49.

The process of finding the quotient and remainder, when a polynomial is divided by a linear polynomial is known as

A. synthetic division
B. symmetric division
C. non-synthetic division
D. extraneous division
Answer» B. symmetric division
50.

The product of the roots of ax² + bx + c = 0 is

A. αβ = a ⁄ c
B. αβ = −a ⁄ c
C. αβ = b ⁄ a
D. αβ = c ⁄ a
Answer» E.