CBSE Class 10 Mathematics 2018 Important Topics, Solved Answers And Model Question Papers

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Maths is a subject that could get you a straight zero or 100. Scoring well in the class 10 maths board exams will not only give you a strong foundation to the concepts but will also give you a lifelong recognition of your ability in maths.

CBSE class 10 mathematics exam is scheduled on 28 March 2018. There is hardly more than a month left for the students to finish their preparations in order to ace the exam. CareerIndia presents to you CBSE class 10 mathematics 2018 important topics, solved questions and model question papers that are important for you to study now.

Also Read: How To Score More Than 90 In Maths For CBSE Class 12 Board Exam?

CBSE Class 10 Mathematics Syllabus

UNIT NUMBER UNIT NAME
 1 Number Systems
 2 Algebra
 3 Co-ordinate Geometry
 4 Geometry
 5 Trignometry
 6 Mensuration
 7 Statistics and Probability

Also Read: Top 10 Colleges In India For Maths In 2018

First, let's look at the chapter-wise important topics

 Chapter NumberTopic
 1 Real Numbers
 2 Polynomials
 3 Linear Equations in Two Variables
 4 Quadratic Equations
 5 Arithmetic Progressions
 6 Triangles
 7 Coordinate Geometry
 8 Introduction to Trigonometry
 9 Some Applications of Trigonometry
 10 Circles
 11 Constructions
 12 Areas Related to Circles
 13 Surface Areas and Volume
 14 Statistics
 15 Probability

Also Read: IIT Madras Offers Free Online Mathematics Course 2018 In Collaboration With AICTE And MHRD

Solved Answers

Here are some important questions and solved answers for your reference.

Real Numbers

Question

Use Euclid's Algorithm to find the HCF of 135 and 225

Solution

225>135

Use the division lemma to divide the two positive numbers:

225=135 + 1x90

135=90+45

90=2x45

225=135 + 2x45

Since 45 divides 225 and 135 exactly, 45 is the HCF

Also Read: Maths Aptitude Questions Types For Entrance Exams and Recruitment Preparation

 

 

Polynomials

Question

If a and b are the zeroes of the quadratic polynomial f(x) = 6x^2 + x = 2, find the value of a/b + b/a

Solution

f(x) = 6x^2 + x = 2
Since a and b are the zeroes of the given polynomial,
Sum of zeroes (a+b) = -1/6
ab = -1/3

a/b + b/a = ((a+b)^2 - 2ab)/ab

Also Read: 7 Mathematics Shortcuts That Can Blow You Down

 

 

Triangles

Find out if the following statements are true or false:

  • Any two similar figures are congruent - False
  • Any two congruent figures are similar - True
  • Two polygons are similar if their corresponding sides are proportional - False

Also Read: Mersal Mathematics: 5 Shortcuts for Multiplication!

 

 

Coordinate Geometry

Question

Find the distance between the points (0,0) and (36,15).

Solution

Square root of [(36-0)^2 + (15-0) ^ 2] = Square root of 1529 = 39

Also Read: CBSE Exams 2018 Important Notification Released For Question Papers

 

 

CBSE Class 10 Exam Maths Papers

In order to find the previous years question papers and solved answer papers, check out the links below:

CBSE Class 10 Exam 2017 Solved Model Paper

CBSE Class 10 Exam 2013 paper

CBSE Class 10 Exam board papers in different languages

 

 

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