List of top Mathematics Questions

Solve for \( x \): \( \log_2 (x-1) = 3 \).
Find the area of a triangle with vertices \( A(2, 3) \), \( B(5, 11) \), and \( C(8, 7) \).
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
Find the area of a circle with radius 7 cm.
Solve for $ x $ in the equation $ 2x - 3 = 5x + 12 $.
Find the area of a triangle with base 8 cm and height 6 cm.
Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.
If $ x = 2 $, what is the value of $ 3x^2 - 5x + 7 $?
Find the area of a triangle with base 12 cm and height 5 cm.
Solve for $ x $ in the equation $ \frac{1}{x+3} + \frac{1}{x+5} = \frac{1}{6} $.
If $ f(x) = 3x^2 + 5x - 7 $, find $ f(2) $.
If $ \tan \theta = \frac{3}{4} $, find the value of $ \sin \theta $.
Find the value of $ \log_2 32 $.
Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.
Find the value of $ x $ that satisfies the equation $ 2x + 3 = 11 $.
Find the value of \( \frac{d}{dx} (3x^2 + 4x + 5) \).
Find the value of \( \tan 45^\circ \).
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.
If \( \sin \theta = \frac{3}{5} \), find the value of \( \cos \theta \).
Find the value of \( \log_2 32 \).
Find the value of \( \frac{5}{6} + \frac{3}{4} \).
Find the area of a circle whose radius is 7 cm.
The sum of the ages of a father and his son is 60 years. The father is three times as old as the son. What is the son's age?
Find the roots of the quadratic equation \( 2x^2 - 4x - 6 = 0 \).
Find the value of \( \sin 30^\circ + \cos 60^\circ \).