CBSE Class 10 Maths Question Bank 2026–27: Important MCQs with Answers

Mathematics requires regular practice to solve questions involving formulas, calculations and multiple steps accurately. Simply reading concepts may not be enough when questions require quick thinking, correct formula application or careful calculation. Without sufficient practice, you may struggle with unfamiliar questions, make calculation errors or find it difficult to complete objective questions within the given time. Identifying these gaps early can help you focus on the topics that need more attention before the examination.

The CBSE Class 10 Maths Question Bank 2026–27 provides practice MCQs with answers from important Mathematics topics. You can use these questions to apply concepts, practise calculations, check your responses and revise areas where you need more practice before the board examination.

What Does the CBSE Class 10 Maths Question Bank 2026–27 Cover?

The question set includes concepts from number systems, algebra, arithmetic progressions, geometry, trigonometry and probability. The questions also include application-based situations that require you to use mathematical concepts to arrive at the correct answer.

CBSE Class 10 Maths Important MCQs with Answers

Working through objective questions allows you to revise concepts, apply formulas and improve accuracy across different problem types. The MCQs below cover key topics included in the Class 10 Mathematics question set, along with answers to help you check your responses.

Real Numbers & Polynomials

Question 1. What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A (32 students) or Section B (36 students)?

a) 144
b) 128
c) 288
d) 272

Answer: c) 288

Question 2

If the product of two positive integers is equal to the product of their HCF and LCM, what is the HCF(32, 36)?

a) 2
b) 4
c) 6
d) 8

Answer: b) 4

Question 3

How can 7×11×13×15+157 \times 11 \times 13 \times 15 + 15 be categorised?

a) Prime number
b) Composite number
c) Neither prime nor composite
d) None of the above

Answer: b) Composite number

Question 4

In the standard form of a quadratic polynomial, ax2+bx+cax^2 + bx + c, what condition must aa, bb, and cc satisfy?

a) All are real numbers.
b) All are rational numbers.
c) aa is a non-zero real number, and bb and cc are any real numbers.
d) All are integers.

Answer: c) aa is a non-zero real number, and bb and cc are any real numbers.

Question 5

What are the zeroes of the quadratic polynomial 43x2+5x−234\sqrt{3}x^2 + 5x - 2\sqrt{3}?

a) 23,34\frac{2}{\sqrt{3}}, \frac{\sqrt{3}}{4}
b) −23,34-\frac{2}{\sqrt{3}}, \frac{\sqrt{3}}{4}
c) 23,−34\frac{2}{\sqrt{3}}, -\frac{\sqrt{3}}{4}
d) −23,−34-\frac{2}{\sqrt{3}}, -\frac{\sqrt{3}}{4}

Answer: b) −23,34-\frac{2}{\sqrt{3}}, \frac{\sqrt{3}}{4}

Linear Equations & Arithmetic Progressions

Question 6

A test consists of 'True' or 'False' questions where 1 mark is awarded for every correct answer and 0.25 marks are deducted for every wrong answer. A student answered 120 questions and got 90 marks. Assuming all guessed answers were wrong, how many questions did he answer correctly?

a) 80
b) 90
c) 96
d) 100

Answer: c) 96

Question 7

Veer wants to participate in a 200 m race. He can currently run that distance in 51 seconds, and with each day of practice, it takes him 2 seconds less. Which of the following sequence of terms forms an AP for this situation?

a) 51,53,55,…51, 53, 55, \dots
b) 51,49,47,…51, 49, 47, \dots
c) −51,−53,−55,…-51, -53, -55, \dots
d) 51,55,59,…51, 55, 59, \dots

Answer: b) 51,49,47,…51, 49, 47, \dots

Question 8

If the nthn^{\text{th}} term of an AP is given by an=2n+3a_n = 2n + 3, what is the common difference of the AP?

a) 2
b) 3
c) 5
d) 1

Answer: a) 2

Question 9

What is the value of xx for which 2x2x, x+10x + 10, and 3x+23x + 2 are three consecutive terms of an AP?

a) 6
b) -6
c) 18
d) -18

Answer: a) 6

Geometry & Trigonometry

Question 10

Which of the following sets of numbers does not form a Pythagorean triplet?

a) (7,24,25)(7, 24, 25)
b) (15,8,17)(15, 8, 17)
c) (5,12,13)(5, 12, 13)
d) (21,20,28)(21, 20, 28)

Answer: d) (21,20,28)(21, 20, 28)

Question 11

What is the angle of elevation when standing at a distance of 42 m away from a monument that is 42 m high?

a) 30∘30^\circ
b) 45∘45^\circ
c) 60∘60^\circ
d) 0∘0^\circ

Answer: b) 45∘45^\circ

Question 12

What is the angle formed by the line of sight with the horizontal when the object viewed is below the horizontal level?

a) Corresponding angle
b) Angle of elevation
c) Angle of depression
d) Complete angle

Answer: c) Angle of depression

Probability

Question 13

From a well-shuffled deck of 52 playing cards, one card is drawn. What is the probability of getting a king of red colour?

a) 126\frac{1}{26}
b) 113\frac{1}{13}
c) 152\frac{1}{52}
d) 14\frac{1}{4}

Answer: a) 126\frac{1}{26}

Question 14

Two fair dice are rolled together. What is the probability that the sum of the two numbers appearing on top is 13?

a) 1
b) 536\frac{5}{36}
c) 118\frac{1}{18}
d) 0

Answer: d) 0

Question 15

Two fair dice are rolled together. What is the probability that the sum of the two numbers appearing on top is less than or equal to 12?

a) 1
b) 536\frac{5}{36}
c) 118\frac{1}{18}
d) 0

Answer: a) 1

CBSE Class 10 Maths Question Bank 2026–27 PDF

Regular question practice can help you apply mathematical concepts, verify calculations and recognise topics that require more revision. The CBSE Class 10 Maths Question Bank 2026–27 PDF gives you access to MCQs with answers, allowing you to practise questions, check your responses and revisit concepts that need additional attention.

What Role Does the CBSE Class 10 Maths Question Bank Play in Preparation?

Using a question bank alongside regular revision can help you apply mathematical concepts through different types of problems. Solving questions independently, checking your calculations and revisiting difficult topics can make your preparation more focused.

• Revise concepts through questions: Attempt MCQs after completing a topic to check your understanding.

• Practise calculations: Work through numerical questions to improve accuracy and familiarity with formulas.

• Solve independently: Try each question before checking the answer to assess your own understanding.

• Identify difficult topics: Note the chapters where you make repeated calculation or conceptual errors.

• Improve speed: Practise questions within a fixed time to become more comfortable with objective questions.

• Review mistakes: Analyse incorrect answers and revisit the relevant concept before attempting similar questions again.

Consistent practice can help you handle Mathematics questions with greater accuracy and confidence. The CBSE Class 10 Maths Question Bank 2026–27 includes MCQs and answers from key topics, allowing you to practise concepts, check your responses, identify mistakes and focus your revision on areas that need more attention.