Class 10 Maths Most Important 100 MCQs for CBSE Board Exam

Preparing for the CBSE Class 10 Maths Board Exam? Practising important MCQs (Multiple Choice Questions) is an excellent way to revise concepts, formulas, theorems and calculation-based questions quickly.

In this post, Future Study Point brings you a collection of Class 10 Maths Most Important MCQs with Answers, covering important concepts from the Class 10 Mathematics syllabus. These questions are useful for revision, school exams, pre-board exams and CBSE Board Exam preparation.Watch the video: To understand and practice these Class 10 Maths Most Important 100 MCQs for the CBSE Board Exam, scroll down and watch the complete video below.

Class 10 Maths Important MCQs Selected from Last Years Question Papers

1. What type of number is √0.4?

A) Natural

B) Integer

C) Rational

D) Irrational

Show Answer

Answer: D) Irrational

2. Which of the following cannot be the unit digit of 8ⁿ, where n is a natural number?

A) 4

B) 2

C) 0

D) 6

Show Answer

Answer: C) 0

3. Which of the following quadratic equations has real and equal roots?

A) (x + 1)² = 2x + 1

B) x² + x = 0

C) x² − 4 = 0

D) x² + x + 1 = 0

Show Answer

Answer: A) (x + 1)² = 2x + 1

4. If the zeroes of ax² + bx + 2a/b are reciprocals of each other, then b is:

A) 2

B) 1/2

C) −2

D) −1/2

Show Answer

Answer: A) 2

5. The distance of the point (−3, −4) from the x-axis is:

A) 3

B) 4

C) 5

D) 7

Show Answer

Answer: B) 4

6. If two coins are tossed simultaneously, the probability of getting at least one head is:

A) 1/4

B) 1/2

C) 3/4

D) 1

Show Answer

Answer: C) 3/4

7. Two tangents are drawn from an external point P to a circle. If ∠P = 90° and the chord joining the points of contact has length 3√2 cm, the diameter of the circle is:

A) 3√2 cm

B) 6√2 cm

C) 3 cm

D) 6 cm

Show Answer

Answer: D) 6 cm

8. The equations 2x + 1 = 0 and 3y − 5 = 0 have:

A) No solution

B) Two solutions

C) Infinitely many solutions

D) A unique solution

Show Answer

Answer: D) A unique solution

9. In a right triangle, if sin B = 1/4, then sec B is:

A) 4

B) √15/4

C) √15

D) 4/√15

Show Answer

Answer: D) 4/√15

10. For two prime numbers p and q, the HCF is 1 and the LCM is p + q. Which option is correct?

A) Both Assertion and Reason are true and Reason explains Assertion

B) Both are true but Reason does not explain Assertion

C) Assertion is true but Reason is false

D) Assertion is false but Reason is true

Show Answer

Answer: D) Assertion is false but Reason is true

11. The HCF of 960 and 432 is:

A) 48

B) 54

C) 72

D) 36

Show Answer

Answer: A) 48

12. The natural number 2 is:

A) Prime

B) Composite

C) Both prime and composite

D) Neither prime nor composite

Show Answer

Answer: A) Prime

13. For every natural number n, the units digit of 6ⁿ is:

A) 0

B) 6

C) 3

D) 2

Show Answer

Answer: B) 6

14. If the graph of a polynomial f(x) does not intersect the x-axis, then the number of zeroes is:

A) 0

B) 1

C) 2

D) 4

Show Answer

Answer: A) 0

15. If two linear equations are represented by coincident lines, the number of solutions is:

A) One

B) Two

C) Zero

D) Infinitely many

Show Answer

Answer: D) Infinitely many

16. The common difference of the AP 2√2, 3√2, 4√2, … is:

A) √2

B) 1

C) 2√2

D) −√2

Show Answer

Answer: A) √2

17. If △ABC ~ △DEF, DE = 2AB and BC = 8 cm, then EF is:

A) 4 cm

B) 8 cm

C) 12 cm

D) 16 cm

Show Answer

Answer: D) 16 cm

18. The midpoint of the line segment joining (5, −4) and (6, 4) lies on:

A) x-axis

B) y-axis

C) Origin

D) Neither axis

Show Answer

Answer: A) x-axis

19. A car is 10√3 m away from the base of a 30 m high tower. The angle of elevation of the top is:

A) 30°

B) 45°

C) 90°

D) 60°

Show Answer

Answer: D) 60°

20. Two tangents TP and TQ are drawn from T. If ∠POQ = 120°, then ∠PTQ equals:

A) 60°

B) 70°

C) 80°

D) 90°

Show Answer

Answer: A) 60°

21. If PA is tangent to a circle with centre O and ∠POB = 125°, then ∠APO is:

A) 25°

B) 65°

C) 90°

D) 35°

Show Answer

Answer: D) 35°

22. The length of the arc of a sector with radius 21 cm and central angle 60° is:

A) 22 cm

B) 44 cm

C) 88 cm

D) 11 cm

Show Answer

Answer: A) 22 cm

23. The hour hand of a clock sweeps through what angle between 7:00 a.m. and 8:10 a.m.?

A) 17.5°

B) 35/2°

C) 35°

D) 70°

Show Answer

Answer: C) 35°

24. A solid hemisphere has diameter 2d. Its total surface area is:

A) 3πd²

B) 2πd²

C) 1/2πd²

D) 3/4πd²

Show Answer

Answer: A) 3πd²

25. If the mean of a data set is 12 and its mode is 21, its median is:

A) 6

B) 13.5

C) 15

D) 14

Show Answer

Answer: C) 15

26. A die is thrown once. The probability of obtaining a number other than 3 is:

A) 1/6

B) 3/6

C) 5/6

D) 1

Show Answer

Answer: C) 5/6

27. A leap year has 53 Mondays with probability:

A) 1/7

B) 2/7

C) 5/7

D) 6/7

Show Answer

Answer: B) 2/7

28. Consider p(y) = y² + 4y + 3. The number of zeroes of this polynomial is:

A) 0

B) 1

C) 2

D) 3

Show Answer

Answer: C) 2

29. If α and β are the zeroes of x² − 3x − 1, then 1/α + 1/β is:

A) −3

B) 3

C) 1

D) −1

Show Answer

Answer: A) −3

30. If DE ∥ BC in △ABC, AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, then x is:

A) 2

B) 3

C) 4

D) 5

Show Answer

Answer: C) 4

Features of These Class 10 Maths MCQs

These Top 100 Important MCQs have been carefully selected from questions and question patterns that have appeared in CBSE Class 10 Mathematics Board Examinations over the years. In this video, each MCQ is discussed with its correct answer and a clear step-by-step explanation, helping students understand the concepts and the approach required to solve similar questions in the CBSE Board Exam.

These questions are especially useful for revision, practice, and exam preparation for the CBSE Board Exam 2026–27.

By practising these previous-year MCQs, students can become familiar with:

The pattern and style of CBSE objective questions
Frequently tested mathematical concepts
Important formulas and properties
Concept-based and calculation-based questions
Different ways in which CBSE can frame an MCQ
Commonly tested topics and concepts
The level of difficulty generally seen in Board examinations

These questions are especially useful for students preparing for the Class 10 CBSE Board Examination, as they provide an opportunity to learn from questions that have already been tested in actual examinations.

Important: The purpose of practising previous-year MCQs is not to memorise the answers. Students should try to understand the concept and method behind each question, as CBSE may ask the same concept in a different form in the examination.

Try all the MCQs yourself first, check your answers afterwards, and revise the related concept whenever you make a mistake.

How to Score Better in Class 10 Maths

Don’t simply memorise the correct options. For every MCQ you get wrong, identify why you made the mistake.

Focus particularly on:

Important formulas
Standard trigonometric values
Algebraic identities
Conditions for consistency
Nature of roots
AP formulas
Similarity criteria
Coordinate geometry formulas
Circle theorems
Surface area and volume formulas
Statistical formulas
Basic probability concepts

A strong understanding of these concepts will help you solve both MCQs and descriptive questions more confidently.

Watch Class 10 Maths MCQs Video Solutions

Want to understand the questions step by step?

Watch the Class 10 Maths MCQ video solutions by Future Study Point to learn the correct method, understand important concepts and revise the chapter along with the questions.

Watch the Video Solution and Practise Along!

More Class 10 Maths Resources

After completing these MCQs, continue your preparation with:

Class 10 Maths NCERT Solutions
Class 10 Maths Important Questions
Class 10 Maths Previous Year Questions
Class 10 Maths Sample Papers
Class 10 Maths Case Study Questions
Class 10 Maths Board Exam Question Papers
Class 10 Maths Chapter-wise Video Solutions

Frequently Asked Questions

Are these Class 10 Maths MCQs useful for the CBSE Board Exam?

Yes. MCQ practice is useful for revising concepts and preparing for objective-type questions. However, students should also practise NCERT questions, previous-year questions and sample papers.

How many Class 10 Maths MCQs should I practise?

There is no fixed number. Regular chapter-wise practice followed by mixed MCQ tests is a good strategy.

Should I solve MCQs before or after studying a chapter?

It is generally better to study the concepts first and then use MCQs to test your understanding and identify weak areas.

Are these MCQs enough for Class 10 Maths preparation?

No. MCQs are an important revision tool, but complete preparation should include NCERT exercises, important questions, previous-year papers, sample papers and full-length practice papers.

How can I improve my Maths MCQ score?

Practise regularly, revise formulas, carefully read every question and analyse your mistakes instead of simply memorising the answers.

Final Words

Class 10 Maths MCQs are a powerful tool for quick revision and concept testing. Practise these questions regularly, revise the concepts behind every incorrect answer, and combine MCQ practice with NCERT questions and full-length sample papers.

Keep practising. Keep improving. And prepare confidently for your CBSE Class 10 Maths Board Exam with Future Study Point.