CBSE Class 8 Mathematics Sample Paper Set 2 — Free PDF
Engaging mathematics sample paper covering rational numbers, algebraic expressions, geometry, and data handling. Build strong fundamentals with practice pr
TL;DR: Engaging mathematics sample paper covering rational numbers, algebraic expressions, geometry, and data handling. Build strong fundamentals with practi…
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Engaging mathematics sample paper covering rational numbers, algebraic expressions, geometry, and data handling. Build strong fundamentals with practice problems and clear solutions. This is a shortened practice set: 42 questions worth 77 marks, following the 80-mark CBSE paper pattern. Use it for timed practice, not as a full-length mock.
Board: CBSE · Class: Class 8 · Subject: Mathematics · Total: 77 marks · Time: 3 hours
Section A - Objective Type Questions — 20 marks
Attempt all questions. Each question carries 1 mark.
Q1. The multiplicative inverse of 3/4 is? (1 mark)
Answer: 4/3
Q2. What is the additive inverse of -5? (1 mark)
Answer: 5
Q3. Simplify: (2^3) x (2^2). (1 mark)
Answer: 32
Q4. Expand: (a + b)^2. (1 mark)
Answer: a^2 + 2ab + b^2
Q5. What is 25% of 80? (1 mark)
Answer: 20
Q6. Find the value of x in x + 7 = 15. (1 mark)
Answer: 8
Q7. What is the perimeter of a square with side 5 cm? (1 mark)
Answer: 20 cm
Q8. How many sides does an octagon have? (1 mark)
Answer: 8
Q9. What is the area of a rectangle with length 8 cm and width 5 cm? (1 mark)
Answer: 40 cm^2
Q10. What is the circumference of circle with radius 7 cm? (1 mark)
Answer: 44 cm or 2*pi*7
Q11. How many faces does a cube have? (1 mark)
Answer: 6
Q12. The sum of interior angles of a triangle is? (1 mark)
Answer: 180 degrees
Q13. What is the complement of 60 degrees angle? (1 mark)
Answer: 30 degrees
Q14. Find the average of 10, 20, 30. (1 mark)
Answer: 20
Q15. What is the probability of getting an even number when rolling a dice? (1 mark)
Answer: 1/2 or 3/6
Q16. Express 0.5 as a fraction. (1 mark)
Answer: 1/2
Q17. What is 15% of 200? (1 mark)
Answer: 30
Q18. Simplify: 3x + 5x. (1 mark)
Answer: 8x
Q19. What is the square root of 144? (1 mark)
Answer: 12
Q20. How many millimeters are in 1 centimeter? (1 mark)
Answer: 10
Section B - Short Answer Questions — 25 marks
Attempt all questions. Each question carries 2 or 3 marks.
Q1. Add the rational numbers: 1/2 + 3/4. (2 marks)
Answer: 5/4
Q2. Subtract: 5/6 - 1/3. (2 marks)
Answer: 1/2
Q3. Solve the equation: 2x + 3 = 11. (2 marks)
Answer: x = 4
Q4. Evaluate: (-3) + (-5) + 8. (2 marks)
Answer: 0
Q5. If length of rectangle is 12 cm and area is 60 cm^2, find width. (2 marks)
Answer: 5 cm
Q6. Find the volume of a cube with side 3 cm. (2 marks)
Answer: 27 cm^3
Q7. Convert 2 km to meters. (2 marks)
Answer: 2000 meters
Q8. If an item costs 500 rupees and 20% discount is given, find the selling price. (2 marks)
Answer: 400 rupees
Q9. Find the mean of numbers: 5, 10, 15, 20. (2 marks)
Answer: 12.5
Q10. Construct an angle of 90 degrees using compass and ruler. (3 marks)
Answer: Draw perpendicular bisector or construct using compass arc
Q11. What is the mode of data: 2, 3, 3, 5, 3, 7? (2 marks)
Answer: 3
Q12. If 5 pencils cost 25 rupees, what is the cost of 8 pencils? (2 marks)
Answer: 40 rupees
Section C - Long Answer Questions — 32 marks
Attempt all questions. Each question carries 3 or 4 marks.
Q1. Draw a line segment of 8 cm and divide it into 4 equal parts. (3 marks)
Answer: Using compass and ruler, construct perpendicular bisectors
Q2. Factorize: 2x^2 + 5x + 3. (3 marks)
Answer: (2x + 3)(x + 1)
Q3. A cylindrical tank has radius 2 m and height 5 m. Find its volume and curved surface area. (4 marks)
Answer: Volume = 20*pi m^3, Curved surface area = 20*pi m^2
Q4. The cost price of an item is 800 rupees and it is sold at 20% profit. Find selling price. (3 marks)
Answer: 960 rupees
Q5. Represent the data using a bar graph: Class A: 30 students, Class B: 25 students, Class C: 35 students. (3 marks)
Answer: Bar graph with classes on x-axis and number of students on y-axis
Q6. Solve the linear equation: 3(x - 2) + 5 = 14. (3 marks)
Answer: x = 5
Q7. The area of a square is 100 cm^2. Find its perimeter. (3 marks)
Answer: 40 cm
Q8. In a class of 40 students, 24 passed in Mathematics. Find the percentage of students who passed. (3 marks)
Answer: 60%
Q9. Draw a parallelogram ABCD with AB = 5 cm, BC = 4 cm, and angle ABC = 60 degrees. (4 marks)
Answer: Use ruler and protractor to construct the parallelogram with given measurements
Q10. Find the simple interest on 5000 rupees at 5% per annum for 2 years. (3 marks)
Answer: 500 rupees
FAQs
What are the main topics in Class 8 Mathematics?
Rational numbers, Exponents, Algebraic expressions and identities, Equations, Geometry, Mensuration, Data handling, and Probability.
What is the exam pattern?
80 marks with 3 hours duration covering objective, short answer, and long answer questions.
How to solve word problems effectively?
Read carefully, identify what is given and to find, form equations, solve step by step, and verify the answer.
All sample papers → · Previous-year questions → · Chapter-wise MCQs →