# CBSE Class 10 Mathematics Exam 2019: Important 2 marks questions with solutions

Here you will get the CBSE Class 10 Mathematics: Important 2 Marks Questions to prepare for board exams 2019. These questions picked from all important topics of class 10 Maths will make your preparation easy and effective.

Jan 11, 2019 10:18 IST
CBSE Class 10 Mathematics: Important 2 Marks Questions

Here you will get a collection of important 2 marks questions for Class 10 Mathematics Exam 2019. 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 2018, Section - B will comprise 6 questions of 2 marks each.

CBSE Class 10 Mathematics Solved Sample Paper 2019

Students may download the whole question bank for CBSE Class 10 Maths Exam 2019 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
&there4;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 (2010-2018)

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

&there4;             x = 3 and y = 4

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:

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.

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