11th Maths Question Paper 2018 with Answers

The 11th Maths Question Paper 2018 is a helpful resource for students preparing for their examinations. This guide provides detailed questions and answers to help understand the subject better. Covering essential concepts, it supports effective learning and revision for algebra, calculus, geometry, trigonometry, and more.

Algebra

Question: Simplify (x + 3)(x – 2).

Answer: x² + x – 6

Question: Solve for x: 2x + 5 = 15.

Answer: x = 5

Question: If 3a + 2b = 10 and a = 2, find b.

Answer: b = 2

Question: Expand (2x + 3)².

Answer: 4x² + 12x + 9

Question: Solve for y: 4y – 7 = 5.

Answer: y = 3

Question: Factorize x² – 5x + 6.

Answer: (x – 2)(x – 3)

Question: Find the roots of the quadratic equation x² – 4x – 5 = 0.

Answer: x = 5 or x = -1

Question: Simplify (3x + 2) – (x – 4).

Answer: 2x + 6

Question: Solve for x: 3x/4 = 9.

Answer: x = 12

Question: If x + y = 10 and x – y = 4, find x and y.

Answer: x = 7, y = 3

Question: Factorize 4x² – 9y².

Answer: (2x – 3y)(2x + 3y)

Question: Solve 5x – 3 = 2x + 9.

Answer: x = 4

Question: Expand (x + y)³.

Answer: x³ + 3x²y + 3xy² + y³

Question: Find the value of k if (x – 2) is a factor of x² – kx + 4.

Answer: k = 6

Question: Solve for x: 7x + 3 = 2x + 13.

Answer: x = 2

Question: Simplify (x + 4)(x – 1).

Answer: x² + 3x – 4

Question: Find the roots of x² – 6x + 9 = 0.

Answer: x = 3

Question: Solve for x: 5x/2 = 15.

Answer: x = 6

Question: Expand (a – b)(a + b).

Answer: a² – b²

Question: Factorize x² + 2x – 8.

Answer: (x + 4)(x – 2)

Calculus

Question: Find the derivative of x² + 3x + 5.

Answer: 2x + 3

Question: Differentiate sin(x).

Answer: cos(x)

Question: If y = x³, find dy/dx.

Answer: 3x²

Question: Differentiate log(x).

Answer: 1/x

Question: Find the derivative of e^x.

Answer: e^x

Question: Differentiate cos(2x).

Answer: -2sin(2x)

Question: If y = 5x⁴, find dy/dx.

Answer: 20x³

Question: Find the derivative of tan(x).

Answer: sec²(x)

Question: Differentiate x⁵ + 2x³.

Answer: 5x⁴ + 6x²

Question: Find dy/dx if y = 3e^x + x².

Answer: 3e^x + 2x

Question: Differentiate √x.

Answer: 1/(2√x)

Question: Find the derivative of 2sin(x) + 3cos(x).

Answer: 2cos(x) – 3sin(x)

Question: Differentiate x²sin(x).

Answer: 2xsin(x) + x²cos(x)

Question: If y = ln(x), find dy/dx.

Answer: 1/x

Question: Find the derivative of sec(x).

Answer: sec(x)tan(x)

Question: Differentiate x³cos(x).

Answer: 3x²cos(x) – x³sin(x)

Question: Find the derivative of 1/x.

Answer: -1/x²

Question: Differentiate sin²(x).

Answer: 2sin(x)cos(x)

Question: Find dy/dx if y = 2e^(3x).

Answer: 6e^(3x)

Trigonometry

Question: Simplify sin²(x) + cos²(x).

Answer: 1

Question: Find tan(45°).

Answer: 1

Question: If sin(x) = 3/5, find cos(x).

Answer: 4/5

Question: Solve sin(x) = 1 for 0 ≤ x ≤ 2π.

Answer: x = π/2

Question: Simplify 1 + tan²(x).

Answer: sec²(x)

Question: If cos(x) = 4/5, find sin(x).

Answer: 3/5

Question: Find cot(0).

Answer: Undefined

Question: Simplify sec²(x) – tan²(x).

Answer: 1

Question: Solve cos(x) = 0 for 0 ≤ x ≤ 2π.

Answer: x = π/2, 3π/2

Question: Simplify sin(2x).

Answer: 2sin(x)cos(x)

Question: If tan(x) = 1, find sin(x) and cos(x).

Answer: sin(x) = √2/2, cos(x) = √2/2

Question: Solve sin(x) = 0 for 0 ≤ x ≤ 2π.

Answer: x = 0, π, 2π

Question: Simplify 1 – cos²(x).

Answer: sin²(x)

Question: Find tan(30°).

Answer: 1/√3

Question: Solve sin²(x) = 1/4 for 0 ≤ x ≤ 2π.

Answer: x = π/6, 5π/6

Question: Simplify tan(2x).

Answer: 2tan(x)/(1 – tan²(x))

Question: Solve cos(x) = 1 for 0 ≤ x ≤ 2π.

Answer: x = 0

Question: Simplify cos(2x).

Answer: cos²(x) – sin²(x)

Question: Find sec(0).

Answer: 1

Question: Simplify cot(45°).

Answer: 1

Studying the 11th Maths Question Paper 2018 helps strengthen foundational concepts and prepares students for exams. With diverse and detailed questions, it covers algebra, calculus, and trigonometry effectively, supporting strong preparation and understanding of the subject.