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  • CBSE Class 7 Maths Sample Paper with Solution
  • CBSE Class 7 Maths Sample Paper Download PDF 
  • CBSE Class 7 Maths Sample Paper Questions with Solutions
  • Why Should You Solve CBSE Class 7 Maths Sample Papers?
  • Easy Study Tips Using CBSE Class 7 Maths Sample Papers with Solutions
  • CBSE Class 7 Maths Sample Paper FAQs
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CBSE Class 7 Maths Sample Papers with Solution (2025-26)
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CBSE Class 7 Maths Sample Papers with Solution (2025-26)

By Maitree Choube

|

Updated on 3 Jul 2025, 17:11 IST

Mathematics is a subject where every student aims to score full marks, but the key to achieving that lies in regular practice. Before appearing for the CBSE Class 7 Maths exam, it's important to solve as many practice questions as possible. That’s why we’ve created well-designed Class 7 Maths sample papers based on the latest revised CBSE syllabus.

By solving these sample papers daily, students will get a clear idea of the question patterns, important topics, and difficulty level that may appear in the actual exam. It helps build speed, accuracy, and confidence.

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We have also provided Class 7 Maths sample papers in PDF format – absolutely free to download – so students can practice anytime, anywhere.

CBSE Class 7 Maths Sample Paper with Solution

Solving Class 7 Maths sample papers is one of the best ways to revise the entire CBSE syllabus and prepare well for exams. These sample papers are designed to cover all important topics from the Class 7 CBSE Maths syllabus, helping students practice a variety of Maths questions that are likely to appear in the final exam.

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To support learning, we’ve also provided complete Class 7 Maths Sample Paper PDFs with detailed solutions. Each answer is explained in a simple and brief way, so students can understand the steps easily and improve their accuracy.

Our experienced Maths faculty has carefully prepared these solutions to guide students step-by-step, making exam preparation smoother and more effective.

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Also Check: NCERT Solutions Class 7 Maths

CBSE Class 7 Maths Sample Paper Download PDF 

Our expert Maths faculty has specially prepared these new self-made sample papers to help Class 7 students practice a wide variety of questions from each chapter. These practice sets are carefully designed according to the latest CBSE Class 7 Maths syllabus, making sure students stay updated and well-prepared.

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The CBSE Class 7 Maths Sample Paper PDFs offer a great way to strengthen your preparation. By solving these papers regularly, students can improve their understanding of concepts and work towards scoring full marks in their exams.

CBSE Class 7 Maths Sample Paper
CBSE Class 7 Maths Sample Paper Set 1
CBSE Class 7 Maths Sample Paper Set 2
CBSE Class 7 Maths Sample Paper Set 3
CBSE Class 7 Maths Sample Paper Set 4
CBSE Class 7 Maths Sample Paper Set 5
CBSE Class 7 Maths Sample Paper for Half Yearly
CBSE Class 7 Maths Sample Papers for SA1
CBSE Class 7 Maths Sample Papers for SA2

CBSE Class 7 Maths Sample Paper Questions with Solutions

1. If x = 2 and y = -3, what is the value of 2x² + 3y² + 4xy?

A) 11
B) 46
C) -14
D) 34
Solution: 2(2²) + 3(-3)² + 4×2×(-3) = 8 + 27 - 24 = 11 

Answer: A) 11 

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2. Which of the following is the value of 7/9 + 5/12? 

A) 43/36
B) 29/36
C) 29/24
D) 13/21

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Solution: LCM = 36; 28/36 + 15/36 = 43/36

3. If the perimeter of a rectangle is 50 cm and its length is 15 cm, what is its breadth?

A) 10 cm
B) 12.5 cm
C) 15 cm
D) 20 cm 

Solution: 2(15 + b) = 50 ⇒ b = 10 cm

Answer: A) 10 cm 

4. If the perimeter of a rectangle is 50 cm and its length is 15 cm, what is its breadth?

A) 24
B) 25
C) 34
D) 30

Solution: 15 + 9 = 24 

Answer: A) 24

5. If a = 4 and b = 5, what is the value of (a+b)² - (a-b)²?

A) 80
B) 40
C) 36
D) 64 

Answer: A) 80

6. Which of the following is the smallest?

A) 0.25
B) 1/3
C) 0.3
D) 2/5 

Solution: 0.25 < 0.3 < 1/3 ≈ 0.333 < 2/5 = 0.4 

Answer: A) 0.25

7. What is the total sum of all the interior angles in a pentagon?

A) 540°
B) 360°
C) 720°
D) 900° 

Solution: (5-2) × 180 = 540°

 Answer: A) 540°

8. If 3 pencils are priced at ₹18, what will be the total cost of 7 pencils at the same rate?

A) ₹42
B) ₹36
C) ₹54
D) ₹28

Answer: A) ₹42 

9. The HCF of 36 and 48 is:

A) 6
B) 12
C) 18
D) 24 

Solution: HCF = 12 

Answer: B) 12

10. The value of 7⁰ + 5⁰ is:

A) 0
B) 1
C) 2
D) 12 

Solution: 1 + 1 = 2 

Answer: C) 2

11. Among these which are Prime numbers?

A) 21
B) 33
C) 37
D) 39 

Solution: 37 is a prime number. 

Answer: C) 37

12. If the average of the numbers 5, 7, 9, 11, and one more number 'x' is 9, then what should be the value of x?

A) 13
B) 14
C) 15
D) 16 

Solution: (5+7+9+11+x)/5=9 ⇒ x=13 

Answer: A) 13

13. The next term in the sequence 2, 6, 12, 20, 30, ... is:

A) 42
B) 36
C) 38
D) 48 

Solution: Differences increase by 2; next difference = 12; 30+12=42

 Answer: A) 42 

14. If the area of a square is 196 cm², what is its perimeter? A) 56 cm
B) 44 cm
C) 48 cm
D) 36 cm 

Solution: Side = 14 cm; Perimeter = 56 cm 

Answer: A) 56 cm

Why Should You Solve CBSE Class 7 Maths Sample Papers?

Using sample papers for Class 7 Maths is one of the best ways to get ready for your exams. 

  • These papers are made just like your real exam papers, so when you solve them, you get a real feel of the actual test.
  • Sample papers help you understand the types of questions that can come, how much time you need for each section, and which topics you need to practice more.
  • They also show you your strong and weak areas. When you check your answers with the solutions, you learn the correct way to solve problems and avoid repeating mistakes.
  • Practicing with sample papers builds your confidence and helps reduce exam stress because you know what to expect.

Easy Study Tips Using CBSE Class 7 Maths Sample Papers with Solutions

Some Important Study Tips that student should incorporate while preparing for CBSE Class 7 Maths exams are:

  • Start Early: Don’t wait for exams to come close. Begin solving sample papers as soon as you finish a chapter.
  • Set a Timer: Try to finish the paper within the exam time limit. This helps you learn time management.
  • Check Your Answers: Always use the solutions to compare your answers. If you make a mistake, understand where you went wrong.
  • Focus on Weak Areas: If you find certain types of questions difficult, spend extra time practicing those.
  • Revise Regularly: Go back to the sample papers you have solved after a few days to see if you remember the methods.
  • Stay Calm: Treat sample papers like practice matches. Don’t worry about mistakes—use them to improve.

Using sample papers with solutions is a smart way to study. They help you prepare better, improve your marks, and make you feel ready for the final exam.

CBSE Class 7 Maths Sample Paper FAQs

Why it is important to practice Class 7 Maths sample papers before CBSE exams?

Practicing CBSE Class 7 Maths Sample Papers for the 2025-26 session offers a lot of benefits. First, it helps you get familiar with the way questions are asked in the actual exam. Which topics are important and what kinds of problems come up often. Also, it’s a great way to revise the entire CBSE syllabus and spot any topics you might need to review again.

In what ways do the Maths sample papers from Infinity Learn make exam preparation easier for Class 7 students?

Infinity Learn’s Class 7 Maths Sample Papers are designed by teachers who really know the CBSE syllabus. These papers give a chance to practice questions that are similar to what you’ll see in your exam. By working through them, you can revise each chapter thoroughly, get used to the exam format, and improve your accuracy in maths exam.
 

Do Infinity Learn provides updated Class 7 Maths Sample Papers?

Yes, Infinity Learn makes sure that all their Class 7 Maths Sample Papers for 2025-26 are completely in line with the latest CBSE syllabus. The questions are updated, arranged chapter-wise, and come with clear solutions to help you understand the steps easily.

Where can I find reliable and up-to-date sample papers for Class 7 Maths to download for free?

Students of class 7 can download the latest and error-free Class 7 Maths Sample Papers as PDF files from reliable educational websites like Infinity Learn.

Which chapters are covered in the Class 7 Maths sample papers for 2025-26?

Some of the key topics you’ll find in the Class 7 Maths Sample Papers for 2025-26 include:

  • Integers
  • Fractions and Decimals
  • Algebraic Expressions
  • Simple Equations
  • Lines and Angles
  • Perimeter and Area
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