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.

201.

The difference between the maximum and the minimum observation is called

A. mid-point
B. range
C. mean
D. median
Answer» C. mean
202.

A cumulative frequency table is also known as

A. data
B. frequency distribution
C. less than cumulative frequency distribution
D. frequency polygon
Answer» D. frequency polygon
203.

The arithmetic mean of the values 2, 7, 9, 18 is equal to

A. 7
B. 8
C. 9
D. 11
Answer» C. 9
204.

If the length is 2 cm and radius is 3.5 cm, the value of θ should be

A. 0.36 radians
B. 0.57 radians
C. 1.46 radians
D. 2.74 radians
Answer» C. 1.46 radians
205.

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

A. initial side
B. terminal side
C. point of intersection
D. vertex
Answer» B. terminal side
206.

1 + tan²θ equals to

A. cosec²θ
B. sec²θ
C. sin²θ
D. cos²θ
Answer» C. sin²θ
207.

3π ⁄ 2 radians are equal to

A. 270°
B. 180°
C. 90°
D. 60°
Answer» B. 180°
208.

Angles between 90° and 180° lies in

A. 1st quadrant
B. 2nd quadrant
C. 3rd quadrant
D. 4th quadrant
Answer» C. 3rd quadrant
209.

Area of sector with radius ‘r’ is measured by

A. 1 ⁄ 2r
B. 1 ⁄ 2 × r²θ
C. 2r ⁄ θ
D. 2r + θ
Answer» C. 2r ⁄ θ
210.

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

A. α + β = −b ⁄ a
B. α + β = b ⁄ a
C. α + β = - a ⁄ b
D. α + β = a ⁄ b
Answer» B. α + β = b ⁄ a
211.

Generally the elements of a matrix are denoted by

A. numbers
B. capital letters
C. small letters
D. both A and C
Answer» E.
212.

If At = −A then A is said to be

A. square matrix
B. skew symmetric
C. transpose
D. symmetric
Answer» C. transpose
213.

If u ⁄ v = v ⁄ w = k then

A. u = wk²
B. u = vk²
C. u = w²k
D. u = v²k
Answer» B. u = vk²
214.

When a polygon's all sides and angles are equal, it is said to be

A. reflective
B. quadrilateral
C. regular
D. vertical
Answer» D. vertical
215.

A triangle with the angle of 90° is called

A. vertical triangle
B. supplementary triangle
C. right angle triangle
D. reflective triangle
Answer» D. reflective triangle
216.

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

A. 2πrh + 2πr²
B. 2πrh - 2πr²
C. πrh - πr²
D. πrh + πr²
Answer» B. 2πrh - 2πr²
217.

Angles that are greater than 90° and less than 180° are called

A. reflective angles
B. obtuse angles
C. acute angles
D. right angles
Answer» C. acute angles
218.

Sum of all the cube roots of unity is

A. 1
B. 2
C. 0
D. 3
Answer» D. 3
219.

The method to derive a quadratic formula is

A. completing square method
B. factorization method
C. synthetic method
D. using formula method
Answer» B. factorization method
220.

In quadratic equation, if b = 0 then it is called

A. linear equation
B. simple equation complex equation
C. complex equation
D. pure quadratic equation
Answer» E.
221.

2 square roots of unity are

A. 1, −1
B. 1, ω
C. 1, −ω
D. ω and ω²
Answer» B. 1, ω
222.

The number of methods to find square root of an algebraic expression are

A. 3
B. 4
C. 5
D. 2
Answer» E.
223.

By multiplying and dividing the polynomials with any number during the process of finding H.C.F

A. H.C.F is not affected
B. H.C.F is affected
C. L.C.M is not affected
D. L.C.M is affected
Answer» B. H.C.F is affected
224.

The number of methods to find L.C.M is/are

A. 4
B. 3
C. 2
D. 1
Answer» E.
225.

In the algebraic fractions, the numerators and denominators are

A. polynomials
B. odd numbers
C. even numbers
D. surds
Answer» B. odd numbers
226.

H.C.F × L.C.M ⁄ 1st expression =

A. 1
B. H.C.F
C. second expression
D. L.C.M
Answer» D. L.C.M
227.

For two or more algebraic expressions, the expression of highest degree which divides each of them without remainder is called

A. L.C.M
B. H.C.F
C. rational expression
D. irrational expression
Answer» C. rational expression
228.

If an algebraic expression is exactly divisible by two or more expressions, then the expression is said to be

A. rational expression
B. irrational expression
C. common multiple
D. second expression
Answer» D. second expression
229.

Product of two expressions is equal to

A. H.C.F
B. L.C.M
C. H.C.F + L.C.M
D. H.C.F × L.C.M
Answer» E.
230.

In matrices (AB)−1 equals to

A. A−1
B. B−1
C. A−1 B−1
D. B - 1 A - 1
Answer» E.
231.

If A(BC) = (AB)C, then with respect to multiplication this law is called

A. Inverse law
B. associative law
C. Cramer's law
D. additive law
Answer» C. Cramer's law
232.

A square or a rectangular array of numbers written within square brackets in a definite order in rows and columns is known as

A. formula
B. determinant
C. matrix
D. equation
Answer» D. equation
233.

A square matrix in which all the elements except at least the one element in the diagonal are zeros is said to be a

A. identical matrix
B. null/zero matrix
C. column matrix
D. diagonal matrix
Answer» E.
234.

The volume of a cylinder with radius ‘r’ and height ‘h’ is measured by

A. πr² ⁄ h
B. πh² ⁄ r
C. πr²h
D. πr × h
Answer» D. πr × h
235.

Angles greater than 0° and less than 90° are called

A. reflective angles
B. obtuse angles
C. acute angles
D. right angles
Answer» D. right angles
236.

In ratio a : b, the first term a is called

A. antecedent
B. extreme
C. consequent
D. mean
Answer» B. extreme
237.

In a : b = c : d, b and c are called

A. antecedent
B. extreme
C. consequent
D. mean
Answer» E.
238.

If x ∝ y² then

A. x = y²
B. x = ky²
C. xy² = 1
D. xy² = k
Answer» C. xy² = 1
239.

If two quantities are related in such a way that increase in 1 quantity causes increase in other quantity, then this variation is said to be

A. joint variation
B. extreme variation
C. direct variation
D. inverse variation
Answer» D. inverse variation
240.

The ratio of 2km to 600m should be

A. 2 : 7
B. 10 : 7
C. 2 : 3
D. 10 : 3
Answer» E.
241.

The number of methods to solve a quadratic equation are

A. 2
B. 3
C. 4
D. 5
Answer» C. 4
242.

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

A. equal
B. imaginary
C. irrational
D. rational
Answer» B. imaginary
243.

The number of terms in a standard quadratic equation ax² + bx + c = 0 is

A. 1
B. 2
C. 3
D. 4
Answer» D. 4
244.

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

A. equal
B. irrational
C. rational
D. imaginary
Answer» E.
245.

The product of 3 cube roots of unity is/are

A. 2
B. 3
C. 4
D. 1
Answer» E.
246.

In matrices (A + B)t equals to

A. At
B. Bt
C. At + Bt
D. At Bt
Answer» D. At Bt
247.

A diagonal matrix having equal elements is called a

A. square matrix
B. identical matrix
C. scalar matrix
D. rectangular matrix
Answer» D. rectangular matrix
248.

If determinant of a matrix is not equal to zero, then it is said to be

A. non-singular matrix
B. square matrix
C. singular matrix
D. identical matrix
Answer» B. square matrix
249.

In matrices (AB)t equals to

A. B
B. A
C. At Bt
D. Bt At
Answer» E.
250.

Angles that sum up to 90° are known as

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