Official CBSE Practice Papers for Class 7 Mathematics
Access comprehensive sample question papers for Class 7 Mathematics using the CBSE Class 7 Mathematics Sample Paper Set 15. Designed to align with the 2026-27 CBSE academic guidelines, these model papers help students assess their exam readiness and understand current marking schemes.
Solved Model Papers for Mathematics
Access the complete sample paper PDF for Class 7 Mathematics below. Regular practice with these targeted mock exams builds familiarity with expected question patterns and chapter weightage to help secure higher marks.
CBSE Class 7 Mathematics Sample Paper Set O. It’s always recommended to practice as many sample papers as possible before the examinations. Students can download the sample papers and also question papers of previous years to practice and score better marks in examinations. Refer to other links too for more sample papers.
SECTION-A
Q.1 Find the ratio of 30 minutes to 1 hour.
Q.2 What is the coefficient of y2 in –2x2y2 ?
Q.3 Write 6389014 in expanded form.
Q.4 What other name can you give to the line of symmetry of a circle?
Q.5 What is the sum of numbers on opposite faces of a dice?
SECTION - B
Q.6 If Rs. 250 is to be divided amongst Kavya, Shruti and Sneha in the ratio 2:3:5, how much money will each get?
Q.7 Write 3 rational numbers between 1/3 and 2/5.
Q.8 The perimeter of a rectangular sheet is 120 cm. If its length is 40 cm, find the breadth. Also find its area.
Q.9 Simplify the following expression and find its value when x = 7 and y = –2.
2(x2+xy) + 7 – xy.
Q.10 Compare 2.7×1012 and 1.5×108.
SECTION-C
(Attempt any 10 questions)
Q.11 During a sale, the price of a toy is reduced from Rs. 800 to Rs. 600. Find the percentage decrease in the price.
Q.12 If Harshit pays an interest of Rs. 600 for 5 years on a sum of Rs. 3000, find the rate of interest.
Q.13 Arrange the rational numbers 5/-6 , -7/9 , 0, 2/-3 in ascending order.
Q.14 Draw a line PQ. Take a point R outside it. Through R, draw a line parallel to PQ using ruler and compass.
Q.15 Construct a ΔXYZ with XY=6 cm, YZ = 7 cm and ZX = 5.5 cm.
Q.16 Two sides of a parallelogram are 12 cm and 8 cm. If the altitude corresponding to the side of length 12 cm is 6 cm long, find the length of altitude corresponding to side 8 cm.
Q.17 If the circumference of a circular sheet is 154 m, find the area of the sheet.
Q.18 Frame the algebraic expression for the following :
i) Two times a number n increased by six.
ii) A number p multiplied by itself.
iii) Subtraction of p from q.
iv) Product of numbers y and z subtracted from 20.
v) Half of a number m added to 7.
Q.19 i) Express 64 × 243 as a product of prime factors.
ii) Write 6894321 in standard form.
Q.20 What letters of the English alphabet have reflectional symmetry about –
i) a vertical mirror
ii) a horizontal mirror
iii) both horizontal and vertical mirrors.
Q.21 State the number of lines of symmetry for the following figures –
i) an equilateral triangle ii) An isosceles triangle iii) A scalene triangle
iv) a square v) a rectangle vi) a circle
Q.22 Write the number of faces, edges and vertices of the following shapes.
SECTION-D
(Attempt any 5 questions)
Q.23 i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.
ii) Rahul bought a toy car for Rs. 1000. His friend Sahil liked the toy car and wanted to have
it for himself, but could not afford to buy it. So Rahul sold the toy car to Sahil for Rs. 500.
a) Calculate the loss percent that Rahul had.
b) What value is depicted by Rahul through the above action?
Q.25 Construct ΔPQR if PQ=5 cm, ∠PQR = 1050 and ∠QRP = 400.
Q.26 Two crossroads, each of width 3 m, run at right angles through the centre of a rectangular park of length 80 m and breadth 70 m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding crossroads.
Q.27 Subtract y2 – 3y – 4 from the sum of 4y2 – 2y + 3, –3y2 + 6 and –5y2 + 6y.
Please click the link below to download CBSE Class 7 Mathematics Sample Paper Set O.
Free study material for Mathematics
Exam Preparation Sample Paper for Class 7 Mathematics CBSE Class 7 Mathematics Sample Paper Set 15
Download Sample Paper: CBSE Class 7 Mathematics Sample Paper Set 15 (Class 7 Mathematics)
Explore downloadable sample sets for Class 7 Mathematics. Utilizing the CBSE Class 7 Mathematics Sample Paper Set 15 allows learners to gauge exam readiness and master official CBSE assessment structures.
Maximize Your Scores with Model Papers
- Exam Blueprint: Understand mark allocations and structural guidelines relevant to Class 7 evaluations.
- Targeted Improvement: Identify weak areas in Class 7 Mathematics requiring focused revision.
- Pacing & Precision: Practice mixed question formats to build execution speed and ensure timely paper completion.
Steps to Follow After Completing CBSE Class 7 Mathematics Sample Paper Set 15
- Verify Answers: Compare your responses against professional teacher solutions provided in the sample paper keys.
- Error Analysis: Class 7 learners must review incorrect answers carefully to understand underlying mistakes.
- Concept Reinforcement: Consult the official NCERT book for Class 7 Mathematics when stuck before re-attempting problems.
FAQs
You can download the complete PDF for CBSE Class 7 Mathematics Sample Paper Set 15 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 15 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 15 on your mobile device.