Important Maths NCERT Questions CBSE Class 10 | CBSE Guide

cbse class 10

Mathematics paper is considered as one of the toughest subjects for the board exam.Students work hard in this subject to score good marks in the exam. No doubt, Maths requires good amount of practice to achieve good confidence. I have seen many students mugging up the maths question. I would like to make it very clear that Maths is not a subject where you should mug up the solutions. If you are doing so, It simply signifies you do not have understanding of concept. It’s time to brush up your concept.Read Important Maths NCERT Questions CBSE Class 10.
Many students can’t understand the method of covering whole Maths NCERT book for their exam. Covering whole maths book is not an easy task. So, We should prepare in a strategic manner. The strategy is very simple “Just Stick To NCERT Books” and “Prepare according to importance“. We should start preparing using ncert books and understand which chapters are more important. It will give you a clear picture of what you should cover first. Once you have decided and ranked Maths chapters according to their importance. Now, It time to jump into chapters. We should focus on the important concepts and important chapters.

Important Maths NCERT Questions CBSE Class 10 | CBSE Guide

We are providing you the important questions you can keep track off while solving questions.

DETAILS OF THE CONCEPTS TO BE MASTERED BY EVERY CHILD OF CLASS X WITH EXERCISE AND EXAMPLES OF NCERT TEXT BOOK

SA-I

SYMBOLS USED

*:-Important Questions, **:- Very important Questions, ***:- Very very important Questions

 

S.No TOPIC CONCEPTS DEGREE OF IMPORTANCE References(NCERT BOOK)
 

 

 

 

01

 

 

 

 

Real Number

Euclid’s division

Lemma & Algorithm

*** Example -1,2,3,4

Ex:1.1 Q:1,2,4

Fundamental Theorem of Arithmetic *** Example -5,7,8

Ex:1.2 Q:4,5

Revisiting Irrational Numbers *** Example -9,10,11

Ex: 1.3 Q:1.2 Th:1.4

Revisiting Rational Number and their decimal Expansion ** Ex -1.4

Q:1

 

 

02

 

 

 

Polynomials

Meaning of the zero of Polynomial * Ex -2.1

Q:1

Relationship between zeroes and coefficients of a polynomial ** Example -2,3

Ex-2.2

Q:1

Forming a quadratic polynomial ** Ex -2.2

Q:2

Division algorithm for a polynomial * Ex -2.3

Q:1,2

Finding the zeroes of a polynomial *** Example: 9

Ex -2.3 Q:1,2,3,4,5

Ex-2.4,3,4,5

 

03

 

 

Linear Equation in two variables

Graphical and algebraic representation * Example:2,3

Ex -3.4 Q:1,3

Consistency of pair of linear equations ** Ex -3.2

Q:2,4

Graphical method of solution *** Example: 4,5

Ex -3.2 Q:7

Algebraic methods of solution

a.      Substitution method

 

b.      Elimination method

 

c.      Cross multiplication method

 

d.      Equation reducible to pair of linear equation in two variables

 

 

**  

 

Ex -3.3 Q:1,3

 

 

Example-13 Ex:3.4 Q:1,2

 

Example-15,16 Ex:3.5

Q:1,2,4

 

 

Example-19 Ex-3.6

Q :1(ii),(viii),2 (ii),(iii)

 

 

04

 

 

TRIANGLES

1)     Similarity of Triangles *** Theo:6.1 Example:1,2,3

Ex:6.2 Q:2,4,6,9,10

2)     Criteria for Similarity of Triangles ** Example:6,7

Ex:6.3 Q:4,5,6,10,13,16

3)     Area of Similar Triangles *** Example:9 The:6.6

Ex:6.4 Q:3,5,6,7

4)     Pythagoras Theorem *** Theo:6.8 & 6.9

Example:10,12,14,

Ex:6.5 Q:4,5,6,7,13,14,15,16

 

 

05

 

 

Introduction to Trigonometry

1)     Trigonometric Ratios * Ex:8.1 Q:1,2,3,6,8,10
2)     Trigonometric ratios of some specific angles ** Example:10,11

Ex:8.2 Q:1,3

 

3)     Trigonometric ratios of complementary angles ** Example:14,15

Ex:8.3 Q:2,3,4,6

 

4)     Trigonometric Identities *** Ex:8.4 Q:5 (iii,v,viii)

 

 

 

 

 

 

06

 

 

 

 

 

STATISTICS

CONCEPT 1Mean of grouped data
1.      Direct Method *** Example:2

Ex:14.1 Q:1&3

2.      Assumed Mean Method * Ex:14.1 Q:6
3.      Step Deviation Method * Ex:14.1 Q:9
CONCEPT 2
Mode of grouped data *** Example:5

Ex:14.2  Q:1,5

CONCEPT 3
Median of grouped data *** Example:7,8

Ex:14.3 Q1,3,5

CONCEPT 4
Graphical representation of c.f.(ogive) ** Example:9

Ex:14.4 Q:1,2,3

SA- II

SYMBOLS USED

* : Important Questions,       **: Very important questions,       ***: Very, Very Important questions

 

01 Quadratic Equation Standard form of quadratic equation * NCERT Text book

Q.1.2, Ex 4.1

Solution of quadratic equation by factorization *** Example 3,4,5, Q.1, 5 Ex. 4.2
Solution of quadratic equation by completing the square ** Example 8,9

Q.1 Ex. 4.3

Solution of quadratic equation by quadratic formula *** Example. 10,11,13,14,15 , Q2,3(ii) Ex.4.3
Nature of roots *** Example 16

Q.1.2, Ex. 4.4

02 Arithmetic progression General form of an A.P. * Exp-1,2, Ex. 5.1 Q.s2(a), 3(a),4(v)
nth term of an A.P. *** Exp. 3,7,8 Ex. 5.2 Q.4,7,11,16,17,18
Sum of first n terms of an A.P. **

*

**

***

 

Exp.11,13,15

Ex. 5.3, Q.No.1(i, ii)

Q3(i,iii)

Q.7,10,12,11,6, Ex5.4, Q-1

03 Coordinate geometry Distance formula ** Exercise 7.1, Q.No 1,2,3,4,7,8
Section formula

Mid point formula

**

 

 

 

***

Example No. 6,7,9

Exercise 7.2, Q.No. 1,2,4,5

Example 10.

Ex.7.2, 6,8,9. Q.No.7

Area of Triangle **

***

Ex.12,14

Ex 7.3 QNo-12,4 Ex.7.4, Qno-2

04 Some application of Trigonometry Heights and distances Example-2,3,4

Ex 9.1

Q 2,5,10,12,13,14,15,16

05 Circles Tangents to a circle Q3(Ex10.1)

Q 1,Q6,Q7(Ex 10.2),4

Number of tangents from a point to a circle *** Theorem 10.1,10.2

Eg 2.1

Q8,9,,10,12,13

(Ex 10.2)

06 Constructions Division of line segment in the given ratio * Const 11.1

Ex 11.1 Qno 1

Construction of triangle similar to given triangle as per given scale *** Ex 11.1 Qno-2,4,5,7
Construction of tangents to a circle

 

 

 

 

 

*** Ex 11.2 Qno 1,4
07 Area related to circles Circumference of a circle * Example 1

Exercise 12.1 Q.No 1,2,4

Area of a circle * Example 5,3
Length of an arc of a circle * Exercise 12.2 Q No 5
Area of sector of a circle ** Example 2

Exercise 12.2 QNo 1.2

Area of segment of a circle ** Exercise 12.2

Qno 4,7,9,3

Combination of figures ***  Ex 12.3 Example 4.5

1,4,6,7,9,12,15

08 Surface area and volumes Surface area of a combination of solids ** Example 1,2,3

Exercise 13.1

Q1,3,6,7,8

Volume of combination of a solid ** Example 6

Exercise 13.2

Q 1,2,5,6

Conversion of solids from one shape to another *** Example 8 & 10

Exercise 13.3

Q 1,2,6,4,5

Frustum of a cone *** Example 12& 14

Exercise 13.4

Q 1,3,4,5 Ex-13.5, Q. 5

09 Probability Events * Ex 15.1 Q4,8,9
Probability lies between 0 and1 ** Exp- 1,2,4,6,13
Performing experiment *** Ex 15 1,13,15,18,24

 
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