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Class 10 Mathematics

CBSE · 16 Chapters · 242 Questions

1

Real Numbers

Fundamental theorem of arithmetic, rational numbers, and irrational numbers.

10 questions

2

Polynomials

Zeros of polynomials, relationship between zeros and coefficients.

2 questions

3

Pair of Linear Equations in Two Variables

Methods of solving linear equations in two variables.

9 questions

4

Quadratic Equations

Solving quadratic equations and applications.

11 questions

5

Arithmetic Progressions

Sequences, arithmetic progressions, and their applications.

44 questions

6

Triangles

Similarity of triangles, theorems, and applications.

14 questions

7

Coordinate Geometry

Distance formula, section formula, and area of triangles.

18 questions

8

Introduction to Trigonometry

Trigonometric ratios, identities, and applications.

18 questions

9

Some Applications of Trigonometry

Heights and distances using trigonometric concepts.

12 questions

10

Circles

Tangent properties and theorems related to circles.

11 questions

11

Areas Related to Circles

Areas of sectors, segments, and combinations of figures.

7 questions

12

Surface Areas and Volumes

Surface areas and volumes of combinations of solids.

13 questions

13

Statistics

Measures of central tendency and their applications.

21 questions

14

Probability

Classical probability and its applications.

22 questions

15

Proofs In Mathematics A1

Appendix 1 and its applications. The ability to reason and think clearly is extremely useful in our daily life. For example, suppose a politician tells you, ‘If you are interested in a clean government, then you should vote for me.’ What he actually wants you to believe is that if you do not vote for him, then you may not get a clean government. Similarly, if an advertisement tells you, ‘The intelligent wear XYZ shoes’, what the company wants you to conclude is that if you do not wear XYZ shoes, then you are not intelligent enough. You can yourself observe that both the above statements may mislead the general public. So, if we understand the process of reasoning correctly, we do not fall into such traps unknowingly

26 questions

16

Mathematical Modelling A2

Have you ever wondered how our scientists and mathematicians could possibly have estimated these results? Did they pull out the veins and arteries from some adult dead bodies and measure them? Did they drain out the blood to arrive at these results? Did they travel to the Sun with a thermometer to get the temperature of the Sun? Surely not. Then how did they get these figures? Well, the answer lies in mathematical modelling, which we introduced to you in Class IX. Recall that a mathematical model is a mathematical description of some real-life situation. Also, recall that mathematical modelling is the process of creating a mathematical model of a problem, and using it to analyse and solve the problem.

4 questions