Read and download the CBSE Class 7 Mathematics Sample Paper Set U, 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
CBSE Class 7 Mathematics Sample Paper Set U.Its very important for every student to review the question papers of previous years. The last year question papers should be practiced to gain extra marks in examinations. The previous year question papers for both summative assessment1 and summative assessment 2 should be reviewed to understand the examination pattern. Students, teachers and parents can download all CBSE educational material and very well prepared worksheets from this website. All CBSE educational material is developed by our panel of teachers, have also been submitted by CBSE teachers and students.
SECTION – A
Q.1 15% of 250 = _________.
Q.2 Write −12/18 in standard form.
Q.3 Area of a parallelogram = _________.
Q.4 Construct an equilateral triangle of side 6cm.
Q.5 Write the expression for –
Sum of numbers a and b subtracted from their product.
Q.6 Write 23700000 in scientific notation.
Q.7 Find the ratio of 6 hours to 3 days.
Q.8 Give the other name to the line of symmetry of –
a) an isosceles Δ b) a circle
Q.9 If 2 cubes each of dimensions 2cm by 2cm by 2cm are placed side by side. What would the dimensions of the resulting cuboid be?
Q.10 Draw the net of a dice with required dots on it.
SECTION – B
Q.11 Convert each part of 2:3:5 into percentage.
Q.12 Find any 3 rational numbers between (+5/7) and (+3/8)
Q.13 Construct ΔABC given m∠A = 600, m∠B = 300 and AB = 5.8 cm.
Q.14 Diameter of a circular garden is 9.8 m. Find its area.
Q.15 Express in exponential form –
i) a×a×a×b×b×d×d×d×d ii) 540
Q.16 What should be subtracted from (3x2 – 4y2 + 5xy + 20) to get (– x2 – y2 + 6xy + 20).
Q.17 How many times a wheel has to rotate to go 440 m if its radius is 35 cm.
SECTION – C
Q.18 Evaluate using laws of exponents : (12)4 x (9)3 x 4 / (6)3 x (8)2 x 27
Q.19 Simplify by combining like terms :
3a – 2b – ab – (a – b + ab) + 3ab + b – a
Q.20 The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.
Q.21 Show on number line : a) 2/3 b) -7/4
Q.22 Construct a right angled triangle ABC with ∠B=900, with base BC=4 cm and hypotenuse AC=5 cm. Measure and write the length of AB.
Q.23 Simplify and express the result in power notation with positive exponent :-
Q.28 Find the whole quantity if –
a) 12% of it is Rs. 1080 b) 5% of it is 600
Q.29 Name and draw, a rough sketch of –
a) a triangle with both line and rotational symmetries of order more than 1.
b) a triangle with only line symmetry and no rotational symmetry of order more than 1.
c) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.
d) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
SECTION – D
(Attempt any five questions – 7×5=35)
Q.30 Meha sells a micro-wave for Rs. 13,500. She loses 20% in the bargain. What was the price at which she bought it?
Q.31 Construct a ΔPQR if PQ=5cm, m∠PQR=1050, and m∠QRP=400. Write the steps of construction.
Q.32 Two cross-roads, each of width 5m, run at right angles through the centre of a rectangular park of length 70m and breadth 45m and parallel to its sides. Find the -
a) total area of the cross-roads.
b) cost of planting grass in the remaining part of the park at the rate of Rs. 40 per m2.
Q.33 a) Simplify the given expression and find the value if x=2 in :
4 (2x–1) + 3x + 11.
b) Find the 5th and 8th terms of the given expression :
(i) 2n + 1 (ii) 4n – 1
Please click the below link to access CBSE Class 7 Mathematics Sample Paper Set U.
Important Practice Resources for Class 7 Mathematics
How to download CBSE Class 7 Mathematics Sample Paper Set U in PDF?
Students can easily download the CBSE Class 7 Mathematics Sample Paper Set U 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 U?
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 U?
- 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 U 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 U 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 U on your mobile device.