10th Maths Second Revision Question Paper 2020

Understanding the second revision question paper for 10th grade Maths in 2020 helps students prepare effectively for exams. This guide provides a range of practice questions and detailed answers, covering all key concepts and types of problems that students are likely to encounter.

Algebra Questions and Answers

Question: Solve the equation 2x + 3 = 9.

Answer: Subtract 3 from both sides: 2x = 6. Divide by 2: x = 3.

Question: Factorize x² + 5x + 6.

Answer: (x + 2)(x + 3).

Question: Simplify 3x + 2x.

Answer: 5x.

Question: Solve for y: 3y – 7 = 2.

Answer: Add 7 to both sides: 3y = 9. Divide by 3: y = 3.

Question: Find the roots of x² – 4 = 0.

Answer: (x – 2)(x + 2) = 0. Roots are x = 2 and x = -2.

Question: Simplify (2x)(3x).

Answer: 6x².

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

Answer: Add equations: 2a = 12, a = 6. Substitute: b = 4.

Question: Solve for x: 4x – 5 = 15.

Answer: Add 5 to both sides: 4x = 20. Divide by 4: x = 5.

Question: Expand (x + 3)(x – 2).

Answer: x² – 2x + 3x – 6 = x² + x – 6.

Question: Simplify 5x² – 3x².

Answer: 2x².

Question: Factorize 6x² – 9x.

Answer: 3x(2x – 3).

Question: Solve 3x + 4 = 7.

Answer: Subtract 4 from both sides: 3x = 3. Divide by 3: x = 1.

Question: If x = 2, evaluate 3x² – 2x + 1.

Answer: 3(2)² – 2(2) + 1 = 12 – 4 + 1 = 9.

Question: Simplify (x + 2)².

Answer: x² + 4x + 4.

Question: Solve for x: 5x/2 = 10.

Answer: Multiply by 2: 5x = 20. Divide by 5: x = 4.

Question: Find the sum of roots of x² + 5x + 6 = 0.

Answer: -b/a = -5/1 = -5.

Question: Factorize x² – 9.

Answer: (x – 3)(x + 3).

Question: Solve x/3 + 2 = 4.

Answer: Subtract 2: x/3 = 2. Multiply by 3: x = 6.

Question: Simplify 4x² + 2x².

Answer: 6x².

Geometry Questions and Answers

Question: Define a parallelogram.

Answer: A quadrilateral with opposite sides parallel and equal.

Question: Find the area of a triangle with base 10 cm and height 8 cm.

Answer: Area = 1/2 × base × height = 1/2 × 10 × 8 = 40 cm².

Question: State Pythagoras’ theorem.

Answer: In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

Question: Find the circumference of a circle with radius 7 cm.

Answer: Circumference = 2πr = 2 × π × 7 = 44 cm (approx.).

Question: Define a rhombus.

Answer: A parallelogram with all four sides equal.

… (Continue with similar questions and answers for Geometry, Trigonometry, and other sections of Mathematics as required).

Comprehensive preparation for the 10th Maths second revision question paper ensures success. This resource equips students with diverse questions, practical solutions, and in-depth explanations, covering all critical topics to strengthen their understanding and boost confidence for exams.