Sure! Here are some important math formulas that are typically covered in Class 10:

1. Quadratic Formula: If you have a quadratic equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b^2 – 4ac)) / 2a

2. Area of a Circle: The area (A) of a circle with radius (r) is given by:

A = πr^2

3. Circumference of a Circle: The circumference (C) of a circle with radius (r) is given by:

C = 2πr

4. Pythagorean Theorem: In a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b):

c^2 = a^2 + b^2

5. Surface Area of a Cylinder: The surface area (A) of a cylinder with radius (r) and height (h) is given by:

A = 2πr(r + h)

6. Volume of a Cylinder: The volume (V) of a cylinder with radius (r) and height (h) is given by:

V = πr^2h

7. Surface Area of a Sphere: The surface area (A) of a sphere with radius (r) is given by:

A = 4πr^2

8. Volume of a Sphere: The volume (V) of a sphere with radius (r) is given by:

V = (4/3)πr^3

9. Area of a Triangle: The area (A) of a triangle with base (b) and height (h) is given by:

A = 0.5 * b * h

10. Area of a Parallelogram: The area (A) of a parallelogram with base (b) and height (h) is given by:

A = b * h

11. Area of a Trapezium: The area (A) of a trapezium with parallel sides (a and b) and height (h) is given by:

A = 0.5 * (a + b) * h

12. Probability: The probability of an event happening is given by the ratio of the number of favorable outcomes to the total number of outcomes.

13. Arithmetic Progression (AP) Sum Formula: The sum (S_n) of the first n terms of an arithmetic progression with first term (a) and common difference (d) is given by:

S_n = n/2 * (2a + (n-1) * d)

14. Geometric Progression (GP) Sum Formula: The sum (S_n) of the first n terms of a geometric progression with first term (a) and common ratio (r) is given by:

S_n = a * (1 – r^n) / (1 – r)

15. Linear Equations: Solving linear equations of the form ax + b = 0 to find the value of x.

Remember to check your textbook or consult your teacher to ensure you have the most accurate and up-to-date information for your specific syllabus.

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