CBSE Class 8 Mathematics Sample Paper 2026 (with Solutions) — Free PDF
This sample paper covers the fundamental concepts of Class 8 Maths including algebra, geometry, and data handling. Master the basics to build a strong foun
TL;DR: This sample paper covers the fundamental concepts of Class 8 Maths including algebra, geometry, and data handling. Master the basics to build a strong…
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This sample paper covers the fundamental concepts of Class 8 Maths including algebra, geometry, and data handling. Master the basics to build a strong foundation.
Board: CBSE · Class: Class 8 · Subject: Mathematics · Total: 100 marks · Time: 3 hours
Section A: Short Questions — 40 marks
Answer all questions briefly.
Q1. Simplify: 3(a + 2b) - 2(a - b) (2 marks)
Answer: 3a + 6b - 2a + 2b = a + 8b
Q2. Find the value of x if 2x + 5 = 21 (2 marks)
Answer: 2x = 16. x = 8
Q3. What is the area of a square with side 9 cm? (2 marks)
Answer: Area = 9^2 = 81 cm^2
Q4. Solve: x/3 = 5 (2 marks)
Answer: x = 5 * 3 = 15
Q5. Find the perimeter of a rectangle with length 8 cm and width 5 cm. (2 marks)
Answer: Perimeter = 2(8 + 5) = 26 cm
Q6. What is 20% of 150? (2 marks)
Answer: (20/100) * 150 = 30
Q7. Simplify: 2x + 3x - x (2 marks)
Answer: 4x
Q8. Find the circumference of a circle with radius 5 cm. (2 marks)
Answer: Circumference = 2πr = 2π(5) = 10π = 31.4 cm (approx)
Q9. Solve: 3x - 7 = 11 (2 marks)
Answer: 3x = 18. x = 6
Q10. What is the mean of 5, 10, 15, 20? (2 marks)
Answer: Mean = (5 + 10 + 15 + 20)/4 = 50/4 = 12.5
Q11. Express 3/4 as a percentage. (2 marks)
Answer: (3/4) * 100 = 75%
Q12. Solve: 5x = 45 (2 marks)
Answer: x = 9
Q13. Find the area of a triangle with base 8 cm and height 6 cm. (2 marks)
Answer: Area = (1/2) * 8 * 6 = 24 cm^2
Q14. What is the volume of a cube with side 4 cm? (2 marks)
Answer: Volume = 4^3 = 64 cm^3
Q15. Simplify: (2x + 3) + (3x - 1) (2 marks)
Answer: 5x + 2
Q16. Find 15% of 200. (2 marks)
Answer: (15/100) * 200 = 30
Q17. Solve: x - 8 = 12 (2 marks)
Answer: x = 20
Q18. What is the mode of 2, 3, 3, 5, 7, 3? (2 marks)
Answer: Mode = 3
Q19. Find the median of 1, 3, 5, 7, 9. (2 marks)
Answer: Median = 5
Q20. Simplify: 4a^2 - 2a^2 + a^2 (2 marks)
Answer: 3a^2
Section B: Long Answer Questions — 60 marks
Answer any 10 questions with detailed working.
Q1. Solve: 2(x + 3) = 16 and verify your answer. (4 marks)
Answer: 2x + 6 = 16. 2x = 10. x = 5. Verify: 2(5 + 3) = 2(8) = 16. Correct.
Q2. A rectangle has length twice its width. If perimeter is 30 cm, find length and width. (4 marks)
Answer: Let width = w, length = 2w. Perimeter = 2(2w + w) = 30. 6w = 30. w = 5 cm, length = 10 cm
Q3. Find the area of a circle with diameter 14 cm. (4 marks)
Answer: Radius = 7 cm. Area = πr^2 = π(7)^2 = 49π = 153.86 cm^2
Q4. Simplify: 3(2x - 1) + 2(x + 3) - 5 (4 marks)
Answer: 6x - 3 + 2x + 6 - 5 = 8x - 2
Q5. A number increased by 15 is 40. Find the number. (4 marks)
Answer: Let number = x. x + 15 = 40. x = 25
Q6. Find the area and perimeter of a square with side 7 cm. (4 marks)
Answer: Area = 7^2 = 49 cm^2. Perimeter = 4 * 7 = 28 cm
Q7. Solve: 4x + 3 = 2x + 11 (4 marks)
Answer: 4x - 2x = 11 - 3. 2x = 8. x = 4
Q8. What is the selling price of an item with cost 500 and profit 20%? (4 marks)
Answer: Profit = 20% of 500 = 100. Selling price = 500 + 100 = 600
Q9. A cylinder has radius 3 cm and height 10 cm. Find volume. (4 marks)
Answer: Volume = πr^2h = π(3)^2(10) = 90π = 282.6 cm^3
Q10. Express 45% as a fraction in simplest form. (4 marks)
Answer: 45% = 45/100 = 9/20
Q11. Solve the pair: x + y = 8 and x - y = 2. (4 marks)
Answer: Adding: 2x = 10, x = 5. From first: y = 3. Solution: x = 5, y = 3
Q12. A store offers 30% discount. Original price is 1000. Find selling price. (4 marks)
Answer: Discount = 30% of 1000 = 300. Selling price = 1000 - 300 = 700
Q13. Find the sum of angles in a hexagon. (4 marks)
Answer: Sum = (n - 2) * 180 = (6 - 2) * 180 = 4 * 180 = 720 degrees
Q14. Construct a triangle with angles 60, 60, 60. What type of triangle is it? (4 marks)
Answer: All angles equal 60 degrees. This is an equilateral triangle. All sides are equal.
Q15. A tank is filled 3/4. How much more is needed to fill completely? (4 marks)
Answer: Remaining = 1 - 3/4 = 1/4. Therefore, 1/4 of the tank is needed to fill it completely.
FAQs
What are the main topics in CBSE Class 8 Mathematics?
Rational numbers, algebra, geometry, mensuration, data handling, and exponents are key topics.
How should I approach word problems in Class 8 Maths?
Read carefully, identify what is given and what to find, set up equations, solve step-by-step, and verify your answer.
Is it necessary to memorize all formulas?
Yes, formulas are important. Write them down regularly and practice their application to remember them better.
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