Test for all chapters of Math Class 10

To prepare for the final exams in Class 10 Math, it is essential to practice and test your knowledge of all the chapters. Here is a comprehensive test for all the chapters in Class 10 Math.

Chapter-wise test

1. Real Numbers:
- Find the HCF of 135 and 225
- Find the LCM of 12, 16 and 18
- Prove that √2 is an irrational number

2. Polynomials:
- Find the zeroes of the polynomial 2x^3 + 3x^2 - 5x + 6, if two of its zeroes are √3 and -√3
- Factorize x^2 + 7x + 10
- Find the value of k, if (x + 2) is a factor of x^3 + 2x^2 - kx - 4

3. Pair of Linear Equations in Two Variables:
- Solve the pair of equations: 2x + 3y = 11 and 4x - y = 6
- Find the value of k, if the lines 2x + 3y = 10 and kx + 6y = 21 are parallel
- Find the value of k, if the lines 2x + 3y = 10 and kx + 6y = 21 are perpendicular

4. Quadratic Equations:
- Find the nature of the roots of the quadratic equation 3x^2 + 5x + 2 = 0
- Solve the quadratic equation 2x^2 - 7x + 3 = 0 using the quadratic formula
- Find the value of k, if the roots of the quadratic equation x^2 - kx + 8 = 0 are equal

5. Arithmetic Progressions:
- Find the sum of the first 20 terms of an AP if the first term is 5 and the common difference is 3
- Find the 15th term of the AP -2, 1, 4, 7, …
- Find the value of n, if the sum of n terms of an AP is 147 and the common difference is 3

6. Triangles:
- Prove that the sum of the three angles of a triangle is 180 degrees
- Find the area of a triangle whose sides are 8 cm, 10 cm and 12 cm
- Prove that the line joining the midpoints of two sides of a triangle is parallel to the third side

7. Coordinate Geometry:
- Find the distance between the points (3, 4) and (-2, -1)
- Find the coordinates of the point which divides the line segment joining the points (4, 5) and (7, 9) in the ratio 2:3
- Find the equation of the line passing through the points (2, 3) and (4, 7)

8. Introduction to Trigonometry:
- Find the values of sin θ, cos θ and tan θ, if θ is an acute angle in a right-angled triangle with legs 3 cm and 4 cm
- Find the value of θ, if sin θ = 1/2 and 0 degrees

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