CBSE Class 8 Mathematics Question Paper Set J

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Access and download CBSE Class 8 Mathematics Question Paper Set J, carefully designed as per the latest 2025-26 examination guidelines issued by CBSE, NCERT, and KVS. These Class 8 Mathematics previous year question papers include detailed solutions, helping students to assess their performance and identify and improve key areas before the final exams.

Solved Mathematics Question Papers for Class 8

Practicing these Class 8 Mathematics question papers is the best way to understand the actual exam pattern and marking scheme. By solving these papers under timed conditions, Class 8 students can improve their speed and accuracy. Download the full CBSE Class 8 Mathematics Question Paper Set J to begin your self-assessment today.

Mathematics Class 8 Question Paper PDF with Solutions

SECTION – A
1. Find a rational number between –1 and 1. (1)
 
2. Find the solution of the equation ax + b = 0 (1)
 
3. Multiply 2p2q3 by 1(pq)3. (1)
 
4. Find the root of 64 by repeated subtraction method. (1)
 
5. How the quantities, number of workers and time taken by them to complete the given work, are related to each other; directly or inversely ? (1)
 
6. Write the coordinates of a point whose perpendicular distance from x-axis and y-axis are 3 unit and 4 unit respectively. (1)
 
SECTION – B
7. By what number should −28/15 be divided to get −7/5 ? (2)
 
8. From a rope 12 m long, two pieces of length 3/2 m and 2/5 m are cut off. What is the length of the remaining piece of rope? (2)
 
9. Factorise : x2 – 16x + 28. (2)
 
10. Solve : x−2/3 =x−1/4 -2
 
11. The length of a rectangle is 15 cm greater than its breadth. Its perimeter is 150 cm. Find the dimensions of the rectangle. (2)
 
12. The circumference of the base of a cylinder is 88 cm and its height is 15 cm. Find the volume of the cylinder.
 
SECTION – C
13. Divide the sum of −12/15 and −28/5 by the product of −2/5 and 31/7. (3)
 
14. Sum of two numbers is 45 and their ratio is 7:8. Find the numbers. (3)
OR
Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between the new numbers so formed is 5:7. Find the original numbers.
 
15. 7056 students are standing in stadium in such a manner that there are as many students in a row as there are rows in the stadium. How many rows are there in the stadium?
16. Find the least number which must be added to 5608 to make a perfect square.
 
17. Find smallest five digit number which is a perfect square and also find the square root of the number.
 
18. Evaluate using suitable identity : (3)
(a) 93 × 107 (b) (32)2
 
19. A cylindrical vessel open at the top has a diameter of 20 cm and a height of 14 cm. Find the cost of tin plating it on the inner surface at the rate of Re. 1 per 100 cm2. (3)
OR
A cylindrical vessel open at the top has a base radius 10.5 cm and height 14 cm. Find the cost of painting on the inner surface area of the vessel at the rate of 10 paise per cm2.
 
20. Suruchi has enough money to send 14 parcels each weighing 500 grams. What would be the weight of each parcel, if she has to send 20 parcels for the same
money ? (3)
OR
A man deposited a sum of Rs. 5000 in a bank and earned an interest of Rs. 600 in 2 years. How much would he earn on a deposit of Rs. 8000 for the same time. (Rate
of Interest being same)
 
21. Factorise : (3)
(i) xy + x + y + 1 (ii) x2 – 7x + 12
 
22. Draw a line passing through the points (2, 4) and (4, 2). Find the co-ordinates of the points at which this line meets the x-axis and y-axis.
OR
Draw a line passing through the points (2, 4) and (4, 2). Find the coordinates of the point where it meet x axis.
 
SECTION – D
23. Four cubes of side 7 cm are joined together to form a cuboid. Find the surface area and volume of resulting cuboid.
 
24. Factorise the following : (4)
(a) x4 – y4 (b) x2 + 14 x +49
 
25. 1000 soldiers in a fort had enough food for 20 days. But some soldiers were transferred to another fort and food lasted for 25 days. How many soldiers were
transferred? (4)
 
26. A pit 2m x 1.5m x 80m was dug. The earth dug out is used to form a platform of height 15 cm. If the length of platform was 12.5 m long, find its width. (4)
OR
A cuboidal block of silver is 9 cm long, 4 cm wide and 3.5 cm high. If volume of each bead made from it is 1.5 cm3, find the number of beads that can be made from
the block.
Mathematics Question Papers for Class 8
CBSE Class 8 Mathematics Question Paper Set A
CBSE Class 8 Mathematics Question Paper Set B
CBSE Class 8 Mathematics Question Paper Set C
CBSE Class 8 Mathematics Question Paper Set D
CBSE Class 8 Mathematics Question Paper Set E
CBSE Class 8 Mathematics Question Paper Set F
CBSE Class 8 Mathematics Question Paper Set G
CBSE Class 8 Mathematics Question Paper Set H
CBSE Class 8 Mathematics Question Paper Set I
CBSE Class 8 Mathematics Question Paper Set J
CBSE Class 8 Mathematics Question Paper Set K
CBSE Class 8 Mathematics Question Paper Set L Solved
CBSE Class 8 Mathematics Question Paper Set M Solved
CBSE Class 8 Mathematics Question Paper Set N Solved

Important Practice Resources for Class 8 Mathematics

CBSE Class 8 Mathematics Question Paper Set J

To understand the types of questions asked in past examinations, it is very important for Class 8 students to solve the CBSE Class 8 Mathematics Question Paper Set J provided above. You can easily download these past papers for Class 8 Mathematics in PDF format for the last 10 years. By practicing these actual exam questions you will gain an understanding of the difficulty level and the variety of topics covered over the years. By solving these Previous Year Papers (PYPs) you will understand both descriptive and MCQ questions in your final tests.

Importance of solving CBSE Class 8 Mathematics Question Paper Set J

Regularly practicing CBSE Class 8 Mathematics Question Paper Set J is the best way to improve your score in Class 8 Mathematics. These papers will give you details of the marking scheme and the paper structure used by the CBSE. By regularly attempting these under actual exam conditions at home, you can slowly improve your time management skills, which will help you to complete your Mathematics paper within the allowed duration.

Benefits of downloading CBSE Class 8 Question Papers

Having the CBSE Class 8 Mathematics Question Paper Set J in PDF format allows you to revise key concepts anywhere, even without an internet connection. These sets are a reliable tool to practice numerical problems and understand the correct approach to all types of answers. After solving the questions, you should compare your work with the solutions provided by our teachers. Along with these papers, students should always solve the Class 8 Mathematics Sample Papers and MCQ tests on studiestoday.com for a complete revision.

Where can I download the official PDF for CBSE Class 8 Mathematics Question Paper Set J?

The CBSE Class 8 Mathematics Question Paper Set J is available for download on StudiesToday.com. It includes complete set with all sections so that Class 8 students can practice with the exact same paper that came in the CBSE exams.

Are the solutions for CBSE Class 8 Mathematics Question Paper Set J based on the official CBSE marking scheme?

Yes, the solutions for CBSE Class 8 Mathematics Question Paper Set J are prepared by subject matter experts as per official marking scheme. Class 8 students will understand the structure of answers and 'step-marks' methodology Mathematics.

How does solving CBSE Class 8 Mathematics Question Paper Set J help in preparing for the 2026 exams?

Solving previous year papers like CBSE Class 8 Mathematics Question Paper Set J is important to understand repeat themes and question difficulty levels of Mathematics. It helps Class 8 students to test their time management skills too.

Can I access CBSE Class 8 Mathematics Question Paper Set J in different languages?

Yes, where applicable, CBSE Class 8 Mathematics Question Paper Set J is available in both English and Hindi mediums. All students from Class 8 can access Mathematics study material in their preferred language.

Is there a charge to download the CBSE Class 8 Mathematics solved papers?

No, all previous year question papers on StudiesToday, including CBSE Class 8 Mathematics Question Paper Set J, are provided free of charge in mobile-friendly PDF.