Generate a question paper with 10 complex questions of Maths for 10 standard students

 

1. Solve the following equation: x^3 + 5x^2 + 8x + 4 = 0
2. Find the value of (3x^4 + 2x^3 + 7x^2 + 9x + 1)/(x^2 + 2x + 3) when x = 3
3. Prove that the sum of the squares of the first n natural numbers is equal to (n(n+1)(2n+1))/6
4. Determine the roots of the polynomial equation x^4 - 3x^2 + 1 = 0
5. Simplify the following expression: (3a^2 + 2ab + b^2)/(a+b)
6. If x and y are positive integers, show that x^4 + y^4 is divisible by 5
7. Find the inverse of the matrix [2 3; 1 4]
8. Evaluate the integral of (x^2 + 3x + 2)/(x^3 + x^2 - 4x + 4) from x = 0 to x = 2
9. Solve the system of equations: y = 2x + 1, y = x^2 - 2x + 1
10. Find the area of the triangle with vertices (0,0), (1,2), and (3,0)