# CBSE Class 10 Mathematics Exam 2020: Important 2 marks questions with solutions

Here you will get some if the most important 2 mark questions for Class 10 Mathematics Exam 2020. All these questions have been prepared by analysing the topics picked in previous years’ board exams and the latest syllabus for Class 10 Maths. Each question has been provided with a detailed and appropriate solution.

In CBSE Class 10 Mathematics Board Exam 2020, Section - B will be comprised of 6 questions of 2 marks each.

Students may download the whole question bank of 2 markers for CBSE Class 10 Maths Exam 2020 and practice the same while revising the Maths syllabus. Solving various questions will also help to increase your speed and accuracy.

**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 (2010-2019)**

**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 Mathematics Exam 2020: Important 1 Mark Questions**

**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 : 12x^{2} – 6(a^{2} + b^{2})x + 3a^{2}b^{2} = 0.

**Sol. **

12x^{2} – 6(a^{2} + b^{2})x + 3a^{2}b^{2} = 0.

4x^{2} − 2(a^{2} + b^{2})x + a^{2}b^{2} = 0.

4x^{2} − 2a^{2}x − 2b^{2}x + a^{2}b^{2} = 0

2x(2x – 2a) − b^{2}(2x − a^{2}) = 0

(2x − b^{2})( 2x − a^{2}) = 0

⟹ x = b^{2}/2 or x = a^{2}/2

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

Students must practice these important questions to acquaint with the important topics of class 10 Maths and track their preparedness for the upcoming board exam 2019. Moreover, the solutions provided here will give students an idea about what how to frame proper solution to each question in the board exam so as to score optimum marks.

**To get more of such useful articles for CBSE Class 10 Board Exam preparations, click on the following links:**

**CBSE Class 10 Board Exam 2020: Sample Papers and Marking Schemes of all subjects****NCERT Exemplar Problems and Solutions Class 10 Maths: All Chapters****NCERT Solutions for CBSE Class 10 Maths: All Chapters****CBSE Class 10 Mathematics Solved Sample Paper 2019****CBSE Class 10 Maths Exam 2020: Important questions with solutions****CBSE Class 10 Mathematics Exam Pattern for Board Exam 2020**