# CBSE Class 10 Mathematics Exam 2020: Important 1 mark questions with solutions

In order to master a subject, on must have a set of questions based on various topic and concepts discussed in that subject. Solving different questions helps to assess your preparedness and familiarise with the different ways in which a concept can be tested. This ultimately helps you to be more prepared and confident for the exam.

Here, we are providing a set of the most important 1 mark questions to prepare for CBSE class 10 Mathematics Board Exam 2020. All these questions have been provided with detailed solutions explained by the subject experts.

CBSE Class 10 Maths Paper in 2020 Examinations will have 20 objective type questions in Section-A and each question will carry 1 mark. These questions will be asked in different formats like multiple choice type questions (mcqs), fill in the blanks and answer in one word type questions. All these questions will be base on application of formulas and concepts. The one mark questions provided below by Jagran Josh will be very helpful to grasp all basic concepts very well which will ultimately make you efficient to answer the questions of any format.

**CBSE Class 10 Maths Exam Pattern for Board Exam 2020**

Students may download the whole question bank 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 1 Mark Questions:**

**Q.** If the HCF of 65 and 117 is expressible in the form of 65 m – 117, then find the value of m.

**Sol.**

We have, 65 = 13 × 5

And 117 = 13 × 9

Hence, HCF = 13

According to question 65m – 117 = 13

⇒ 65m = 13 + 117 = 130

⇒ m = 130/65 = 2

**CBSE Class 10 Mathematics Solved Sample Paper 2019**

**Q. **If the common difference of an A.P. is 3, then find a_{20 }– a_{15}.

**Sol.**

Let the first term of the AP be a.

a_{n }= a(n − 1)d

a_{20 }– a_{15} = [a + (20 – 1)d] – [a + (15 – 1)d]

= 19d – 14d

= 5d

= 5 × 3

**Q.** Find the value of a so that the point (3, a) lies on the line represented by 2x – 3y = 5.

**Sol. **

Since point (3, a) lies on line 2x – 3y = 5.

Then, 2 x 3 – 3 x a = 5

⟹ 6 – 5 = 3a

⟹ a = 1/3

**CBSE Class 10 Mathematics Previous Years' Solved Question Papers (2010-2019)**

**Q.** For what value of *k* will *k* + 9, 2 *k* ‒ 1 and 2*k* + 7 are the consecutive terms of an A.P.?

**Sol. **

If three terms *x*, *y* and *z *are in A.P. then, 2 *y* = *x* + *z*

Since *k* + 9, 2* k* ‒ 1 and 2 *k* + 7 are in A.P.

∴ 2(2*k* − 1) = (*k* + 9) + (2*k* + 7)

⟹ 4*k* – 2 = 3*k* + 16

⟹ *k* = 18

**Q.** Find the median using an empirical relation, when it is given that mode and mean are 8 and 9 respectively.

**Sol. **

The relation between Mean, Median and Mode of the given data is:

Mode = 3Median − 2Mean

⟹ 8 = 3Median − 2 × 9

⟹ 3Median = 8 + 18

⟹ Median = 26/3

⟹ Median = 8.67

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