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.

51.

A circle has only one

A. chord
B. vertex
C. secant
D. center
Answer» E.
52.

A polygon having 6 sides is called

A. nonagon
B. heptagon
C. hexagon
D. quadrilateral
Answer» D. quadrilateral
53.

Angles that are greater than 180° and less than 360° are called

A. reflective angles
B. obtuse angles
C. acute angles
D. right angles
Answer» B. obtuse angles
54.

Angles are measured in which unit

A. degrees
B. cm
C. km
D. inches
Answer» B. cm
55.

A polygon having 3 sides is called

A. quadrilateral
B. triangle
C. hexagon
D. rectangle
Answer» C. hexagon
56.

The longest chord in a circle is known as

A. diameter
B. radius
C. area
D. midpoint
Answer» B. radius
57.

Statistically, the spread or scatterness of observations in a data is called

A. discriminant
B. dispersion
C. range
D. standard deviation
Answer» C. range
58.

Constructed on XY - plane, a histogram is a graph of adjacent

A. squares
B. circles
C. rectangles
D. triangles
Answer» D. triangles
59.

A tabular arrangement for classifying data into different groups is called

A. standard deviation
B. frequency distribution
C. class mn
D. arithmetic mean
Answer» C. class mn
60.

The most frequent occurring observation in the data is called

A. mean
B. median
C. mode
D. standard deviation
Answer» D. standard deviation
61.

The data presented in the form of frequency data is known as

A. grouped data
B. ungrouped data
C. secondary data
D. calculated data
Answer» B. ungrouped data
62.

The number should be added to complete the square of x4 + 64 is

A. 4x²
B. 16x²
C. 8x²
D. −16x²
Answer» C. 8x²
63.

If α and β are the roots of 3x² + 5x - 2 = 0 then α + β should be

A. 5 ⁄ 2
B. −5 ⁄ 3
C. 2 ⁄ 3
D. 3 ⁄ 5
Answer» C. 2 ⁄ 3
64.

When x is replaced by 1 ⁄ x and the given equation remains unchanged then it is said to be

A. linear equation
B. radical equation
C. quadratic equation
D. reciprocal equation
Answer» E.
65.

The solution set of equation x² - 9 = 0 is

A. {±4}
B. {4}
C. {±2}
D. {±3}
Answer» E.
66.

The discriminant of 2x² + 5x - 1 is

A. 25
B. 30
C. 33
D. 35
Answer» D. 35
67.

1 ⁄ α + 1 ⁄ β is equal to

A. 1 ⁄ α
B. 1 ⁄ β
C. α + β ⁄ αβ
D. α - β ⁄ αβ
Answer» D. α - β ⁄ αβ
68.

The angle subtended at the center of the circle by an arc, whose length and radius are equal is called

A. initial side
B. radian
C. vertex
D. point of intersection
Answer» C. vertex
69.

Angles between 180° and 270° lies in

A. 1st quadrant
B. 2nd quadrant
C. 3rd quadrant
D. 4th quadrant
Answer» D. 4th quadrant
70.

The fundamental trigonometric ratios are

A. 4
B. 5
C. 6
D. 3
Answer» D. 3
71.

The x-axis and y-axis divides the plane in four regions, called

A. quadrants
B. segments
C. sectors
D. positions
Answer» B. segments
72.

Secθ equals to

A. 1 ⁄ cosecθ
B. 1 ⁄ secθ
C. 1 ⁄ cosθ
D. 1 ⁄ cotθ
Answer» D. 1 ⁄ cotθ
73.

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» C. median
74.

The maximum value in the class limit is called

A. primary limit
B. upper limit
C. lower limit
D. secondary limit
Answer» C. lower limit
75.

When numbers are associated with weights, then the obtained mean is said to be

A. weighted arithmetic mean
B. harmonic mean
C. standard mean
D. geometric mean
Answer» B. harmonic mean
76.

By adding two successive class limits and dividing the sum by 2, we obtained

A. class boundary
B. arithmetic mean
C. frequency
D. range
Answer» B. arithmetic mean
77.

For a variable X, the nth positive root of the product of the x1, x2, x3,.... Xn is called

A. Arithmetic mean
B. harmonic mean
C. standard mean
D. geometric mean
Answer» E.
78.

A part of the circle bounded by an arc and a chord is known as

A. segment
B. radius
C. sector
D. arc
Answer» B. radius
79.

π ⁄ 3 radians are equal to

A. 180°
B. 90°
C. 60°
D. 270°
Answer» D. 270°
80.

The value of 30° into radians should be

A. π ⁄ 3
B. π ⁄ 4
C. π ⁄ 6
D. 2π ⁄ 4
Answer» C. π ⁄ 6
81.

Two or more than two angles with the same initial and terminal sides are known as

A. reflective angles
B. co terminal angles
C. obtuse angles
D. supplementary angles
Answer» C. obtuse angles
82.

A part of the circle bounded by 2 radii and an arc is known as

A. segment
B. radius
C. sector
D. arc
Answer» D. arc
83.

The total of frequency up to an upper class limit or boundary is known as

A. average frequency
B. cumulative frequency
C. frequency distribution
D. frequency polygon
Answer» C. frequency distribution
84.

In a cumulative frequency polygon, frequencies are plotted against

A. mid-point
B. upper class boundaries
C. class limits
D. frequency distribution
Answer» C. class limits
85.

The value obtained by reciprocating the mean of the reciprocal of x1, x2, x3, .... Xn observations is called

A. Arithmetic mean
B. harmonic mean
C. standard mean
D. geometric mean
Answer» C. standard mean
86.

The minimum value in the class limit is called

A. primary limit
B. upper limit
C. lower limit
D. secondary limit
Answer» D. secondary limit
87.

The types of frequency distribution are

A. 3
B. 4
C. 5
D. 2
Answer» E.
88.

The value of ‘x’ in √(x - 1) = 4 should be

A. 23
B. 17
C. 19
D. 20
Answer» C. 19
89.

The value of ‘x’ in 6x - 4 = 3x + 8 should be

A. 3
B. 6
C. 5
D. 4
Answer» E.
90.

The set N = {1, 2, 3, 4, 5.....} is known as

A. set of odd numbers
B. set of whole numbers
C. set of natural numbers
D. set of even numbers
Answer» D. set of even numbers
91.

If A = {1, 2, 3, 4} and B = {4, 5, 6, 7} then A∪B should be

A. {2, 3, 4, 5, 6, 7}
B. {1, 2, 3, 4, 5, 6, 7}
C. {4}
D. {1, 2, 3, 5, 6, 7}
Answer» C. {4}
92.

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

A. {4, 5}
B. {1, 6}
C. {6, 8}
D. {1, 3}
Answer» D. {1, 3}
93.

(a + b)² - (a - b)² is equal to

A. 2ab
B. a² - b²
C. 4ab
D. a² + b²
Answer» D. a² + b²
94.

When the product of two surds is rational, then each one of them is called the

A. prime factor of each other
B. irrationalizing factor of each other
C. rationalizing factor of each other
D. binomial factor of each other
Answer» D. binomial factor of each other
95.

Surds having no irrational factor are called

A. pure surds
B. mixed surds
C. similar surds
D. unlike surds
Answer» E.
96.

Surds having the same irrational factor are called

A. similar surds
B. unlike surds
C. mixed surds
D. pure surds
Answer» B. unlike surds
97.

A surd which has unity only as rational fraction and the other factors being irrational is said to be

A. mixed surd
B. pure surd
C. similar surd
D. unlike surd
Answer» C. similar surd
98.

If a matrix has equal number of columns and rows then it is said to be a

A. row matrix
B. identical matrix
C. square matrix
D. rectangular matrix
Answer» D. rectangular matrix
99.

If a cricket team wins 5 matches and losses 7, then the ratio of the games won to lost is

A. 5 + 7
B. 44017
C. 7
D. 5 : 7
Answer» E.
100.

A combination of direct and inverse variations of one or more than one variables is known as

A. direct variation
B. inverse variation
C. joint variation
D. complex variation
Answer» D. complex variation