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Class 10 Mathematics questions for CBSE

Curriculum-aligned Mathematics questions for Class 10 under CBSE. Shortlist topics, practice at your pace, and make every answer count.

185questions available
Q21•Very Short Answer•[2 Marks]

A tree is 30 meters tall. Find the height of the top of the tree if a person 1.5 meters tall stands 10 meters away from the base of the tree.

Q22•Very Short Answer•[2 Marks]

Find the median of the following data: 3, 5, 7, 9, 11.

Q23•Very Short Answer•[2 Marks]

Solve the pair of equations graphically: x + y = 10 and 2x - y = 4.

Q24•Very Short Answer•[2 Marks]

Using Euclid's Division Lemma, find the quotient and remainder when 37 is divided by 5.

Q25•MCQ•[1 Mark]

In triangle ABC, if angle A is 90 degrees and sides a and b are 3 cm and 4 cm respectively, what is the length of side c?

A5 cm
B8 cm
C6 cm
D7 cm
Q26•MCQ•[1 Mark]

Solve the pair of equations: 2x + 3y = 6 and 4x - 6y = 12 using the elimination method. What is the value of x?

A1
B4
C2
D3
Q27•MCQ•[1 Mark]

If a cylinder with a radius of 3 cm and height of 5 cm is converted into a cone, what will be its height if the base radius remains the same?

A5 cm
B7.5 cm
C15 cm
D10 cm
Q28•MCQ•[1 Mark]

What is the surface area of a cube with a side length of 3 cm?

A63 cm²
B27 cm²
C36 cm²
D54 cm²
Q29•MCQ•[1 Mark]

According to Euclid's Division Lemma, for any two positive integers a and b, there exist unique integers q and r such that:

Aa = b + qr
Ba = bq + r
Ca = br + q
Da = rq + b
Q30•MCQ•[1 Mark]

Which of the following is an example of an irrational number?

A√2
B1/3
C0.25
D-4
Q31•MCQ•[1 Mark]

What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14)

A20.9 cm²
B17.5 cm²
C15.7 cm²
D10.5 cm²
Q32•MCQ•[1 Mark]

What is the area of a circle with a radius of 7 cm? (Use π = 22/7)

A154 cm²
B160 cm²
C128 cm²
D144 cm²
Q33•MCQ•[1 Mark]

What is the sum of the first 20 terms of the arithmetic progression 2, 5, 8, ...?

A360
B340
C320
D300
Q34•MCQ•[1 Mark]

Which graph best represents a cumulative frequency distribution?

AHistogram
BPie chart
CBar graph
DLine graph
Q35•MCQ•[1 Mark]

In a frequency distribution, if the mode is 10 and the highest frequency is 15, what can be inferred about the distribution?

AUnimodal
BUniform
CBimodal
DNormal
Q36•MCQ•[1 Mark]

What is the area of a triangle with vertices at (0, 0), (4, 0), and (0, 3)?

A6 sq. units
B4 sq. units
C8 sq. units
D12 sq. units
Q37•MCQ•[1 Mark]

How many tangents can be drawn from a point outside a circle?

AThree
BInfinite
CTwo
DOne
Q38•MCQ•[1 Mark]

A line segment drawn from an external point to a circle is called a:

AChord
BDiameter
CSecant
DTangent
Q39•MCQ•[1 Mark]

Given the polynomial p(x) = 2x^3 + 3x^2 - x - 5, what is the remainder when p(x) is divided by (x - 2)?

A-7
B5
C-3
D2
Q40•MCQ•[1 Mark]

If the probability of an event A is 0.3, what is the probability of the event not occurring?

A0.7
B0.3
C1.0
D0.5
Class 10 Mathematics Questions for CBSE | QPaperLabs