Read and download the CBSE Class 7 Mathematics Sample Paper Set 1, designed by expert teachers according to the latest 2025-26 curriculum and examination pattern issued by CBSE, NCERT, and KVS. These Class 7 Mathematics sample papers include detailed step-by-step solutions, helping students to practice and evaluate their performance against the most recent marking schemes.
Solved Sample Paper for Class 7 Mathematics PDF
Our Class 7 Mathematics model papers are important for understanding the weightage of different chapters and the difficulty level of expected questions. By solving these guess papers Class 7 students can identify weak areas and improve time management. We also suggest referring to our Class 7 Mathematics Question Papers of previous years to further strengthen your exam preparation.
Class 7 Mathematics Sample Paper with Solutions
SECTION-A
Q1. Evaluate: (–31) ÷ [(–30) + (–1)]
Q2. Express 7 rupees 7 paisa as rupees using decimals.
Q3 If p = 2, find the value of 2p - 5
Q4. Simplify: (– 4)3
Q5. Find the angle which is equal to its complement.
Q6. Express 64 as a product of powers of prime factors
SECTION-B
Q7. ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.
Q8. Simplify and write the answer in the exponential form: [(22)3 × 36] × 56
Q9. Find the values of the angles x, y, and z in the given figure:
Q10. If two cubes of dimensions 2 cm by 2cm by 2cm are placed side by side, what would the dimensions of the resulting cuboid be?
Q11. Which is greater -2(4/7) or -3(3/5)
Q12. Subtract 3x2+4x2y -5xy2-y2 from -5y2+7x2+4x2y -7xy2
.
SECTION-C
Q13. Add: 16x + 10y – 15xy – 13, 18 – 5x – 8y + 8xy, 4xy + 3x
Q14. Find any six rational numbers between −3/4 and 5/6
Q15. In fig, find the value of x if AB || MN || CD
Q16 Find the product using suitable properties: (a) 36 × (– 480) + (– 480) × (–46) (b) 8 × 74 × (–125)
Q17. Find the value of: 2 x 34 x 25 /9 x 42
Q19. When a = 2, b = – 1, find the value of the given expressions:
(i) 3a2b + 2ab2 + 2ab
(ii) 2a2 - ab + 2
Q20. In Fig identify: (i) Three pairs of adjacent angles. (ii) A linear pair (iii) Two pairs of vertically opposite angles.
Q21. Write the number of faces, edges and vertices of a cube and pyramid with square base.
Q22. ABCD is a quadrilateral. Show that AB + BC + CD + DA > AC + BD.
SECTION-D
Q23. Suppose we represent the distance above the ground by a positive integer and that below the ground by a negative integer, then answer the following:
(i) An elevator descends into a mine shaft at the rate of 12 metre per minute. What will be its position after 3 hours?
(ii) If it begins to descend from 25 m above the ground, what will be its position after 1 hour 15 minutes?
Q24 (a) From the sum of 3x – 2y + 21 and – y – 11, subtract 3x – y – 11
(b) What should be taken away from 3x2 – 4y2 + 5xy + 20 to obtain – x2 – y2 + 6xy +20?
Q25. Find the perimeters of (i) ABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?
Q26. Lines l || m, p || q; Find a, b, c, d
Q27. Find the value of :
Q28. Simplify : 23 x 92 x 4 /62 x 82 x 27
Q29. Find the values of the unknowns x and y in the following diagrams:
Q30. The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Please click the below link to access CBSE Class 7 Mathematics Sample Paper Set 1.
Important Practice Resources for Class 7 Mathematics
How to download CBSE Class 7 Mathematics Sample Paper Set 1 in PDF?
Students can easily download the CBSE Class 7 Mathematics Sample Paper Set 1 from our website to prepare for their upcoming examinations. To score high marks, it is important for Class 7 students to understand the exaact pattern as per which teachers design the question papers. We strongly suggest that you practice these latest sample papers for Mathematics and solve different types of questions that are expected to come this year. You can downloadin PDF format so that you can practice offline. We also recommend that Class 7 students solve these papers actual exam conditions at home.
Why should you solve CBSE Class 7 Mathematics Sample Paper Set 1?
Practicing these model papers has several benefits for Class 7 students:
- New Question Bank: This set has fresh questions for Mathematics which are different from previous years.
- Exam Pattern Knowledge: Solving more sets will help you to understand the weightage of each chapter in Class 7 and also the type of questions asked.
- Identify Weak Areas: Comparing your score in each set to find out topics in Class 7 Mathematics for which you need hard work.
- Speed and Accuracy: Attempting MCQ questions and long-form problems for Class 7 Mathematics makes you faster and better and you will be able to finish your exam on time.
What should you do after solving CBSE Class 7 Mathematics Sample Paper Set 1?
- Check Your Work: Match your answers with the solutions given by our teachers in the Mathematics Sample Paper PDF.
- Learn from Mistakes: Class 7 students should focus on the questions which you solved incorrectly and understand the error.
- Revision: If you find a question difficult you shoul refer to NCERT book for Class 7 Mathematics to understand concepts and then try the question again.
- Continuous Practice: Solve multiple sets of Mathematics sample papers from studiestoday.com to build confidence before the CBSE exams.
You can download the complete PDF for CBSE Class 7 Mathematics Sample Paper Set 1 for free from StudiesToday.com. Our resources for Class 7 Mathematics are updated for the latest academic session and follow the official exam pattern.
Yes, CBSE Class 7 Mathematics Sample Paper Set 1 comes with detailed, teacher-verified solutions. We have provided step-by-step answers for Mathematics to help students of Class 7 understand correct methodology and marking scheme.
Practicing this Mathematics paper helps in time management and identifying important topics. For Class 7, solving mock papers is the best way to gain confidence and reduce exam-day anxiety.
Yes, all our study materials for Class 7 Mathematics are provided in a mobile-friendly PDF format. You can easily download CBSE Class 7 Mathematics Sample Paper Set 1 on your mobile device.