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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.
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 Number | Topic |
| 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
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
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
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
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 board papers in different languages
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