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Sample Mathematics Question Paper

Grade 10 | Time: 2 Hours | Max Marks: 50

Instructions: Answer all questions. Show your work where necessary.

Question 1: MCQ Easy

Solve the quadratic equation: \(x^2 - 5x + 6 = 0\)

A) \(x = 2, 3\)
B) \(x = 1, 6\)
C) \(x = -2, -3\)
D) \(x = 4, 1.5\)
Question 2: Fill in the blanks Medium

Find the derivative of \(f(x) = 3x^4 - 2x^3 + 5x - 7\)

Question 3: True and False Hard

Evaluate the integral: \(\int (2x + 3)^2 \, dx\)

Question 4: Short Answer Easy

Prove that \(\sin^2\theta + \cos^2\theta = 1\)

Question 5: Long Answer Hard

Discuss the applications of calculus in real-world problems.

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