CBSE Class 10 Mathematics Exam 2021: Important 2 marks questions with solutions

Here you will get some of the most important 2 marks questions for Class 10 Mathematics Exam 2021. All these questions have been prepared after analysing the previous years’ board exams. Each question has been provided with a detailed and appropriate solution.

In CBSE Class 10 Mathematics Board Exam 2021, Part - B will include 6 questions of 2 marks each.

Students may download the whole question bank of 2 markers for CBSE Class 10 Maths Exam 2021 and practice the same while revising the Maths syllabus. Solving various questions will also help to increase your speed and accuracy.

Note - While practicing with the 2 mark questions provided below, students should take care of the deleted portion of the CBSE Class 10 Maths Syllabus 2021. Ignore the questions that are from the chapters/topics that have been excluded from the syllabus.

Given below are some sample questions from the set of CBSE Class 10 Mathematics: Important 2 Marks Questions:

Q.  Find the number of all three-digit natural numbers which are divisible by 9.

Sol.

All three-digit natural numbers which are divisible by 9, are 108, 117, 126, ….., 999.

All these numbers form an AP with, 1st term, a =108

Common difference, d =117 – 108 = 9

And last term, an = 999
Now, a + (n − 1) d = an
∴108 + (n − 1) 9 = 999
⟹ (n − 1)9 = 999 −108 = 891

⟹ (n − 1) = 891 /9 = 99

⟹ n = 99 + 1 = 100

CBSE Class 10 Mathematics Previous Years' Solved Question Papers (2010-2020)

Q. Solve the following system of linear equations by substitution method:

2x – y = 2

x + 3y =15

Sol.

Here,   2x – y = 2

⟹       y = 2x – 2

⟹       x + 3y = 15

Substituting the value of y from (i) in (ii), we get

            x + 6x – 6 = 15

⟹       7x = 21

⟹         x = 3

From (i), y = 2 × 3 – 2 = 4

∴             x = 3 and y = 4

CBSE Class 10 Maths Exam Pattern for Board Exam 2021

Q. A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither an ace nor a king.

Sol.

P (neither an ace nor a king)

                        = 1 – P(either an ace or a king)

                        = 1 – [P(an ace) + P (a king)]

                        = 1 – [4/52  +  4/52]

                        = 1 – 8/52

                        = 44/52  =  11/13        

Q. Solve for x : 12x² – 6(a² + b²)x + 3a²b² = 0.

Sol.

12x² – 6(a² + b²)x + 3a²b² = 0.

4x² − 2(a² + b²)x + a²b² = 0.

4x² − 2a²x − 2b²x + a²b² = 0

2x(2x – 2a) − b²(2x − a²) = 0

(2x − b²)( 2x − a²) = 0

⟹ x = b²/2 or x = a²/2 

To get the complete set of questions, click on the following link:

Also Check: CBSE Class 10 Maths Important Questions for Board Exam 2021

Students must practice these important questions to acquaint themselves with the important topics of class 10 Maths and track their preparedness for the upcoming board exam 2021. Moreover, the solutions provided here will give students an idea about how to frame proper solution to each question in the board exam so as to score optimum marks.

Important: CBSE Class 10 Maths Complete Study Material & Preparation Guide for Board Exam 2021