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CBSE Important Questions for Class 7 Maths - 2025-26

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Class 7 Maths Extra Questions and Answers Free PDF Download

Vedantu provides valuable resources for CBSE Class 7 Maths, focusing on important questions that improve students' understanding and confidence. These questions cover each chapter, helping students understand essential concepts and practice effectively.

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The CBSE Class 7 Maths Syllabus includes topics like integers, fractions, decimals, geometry, and data handling. By working through these important questions, students can strengthen their skills and prepare well for exams. This approach not only improves their performance but also makes learning more engaging and enjoyable.


CBSE Class 7 Maths Chapter-wise Important Questions

CBSE Class 7 Maths Chapter-wise Important Questions and Answers cover topics from all 13 chapters, helping students prepare thoroughly by focusing on key topics for easier revision.


10 Most Important Questions From Class 7 Maths Chapters

Below are 10 important questions from Class 7 Maths chapters that are important for preparing well and understanding concepts easily.


1. What is an integer? Give examples.

Ans: An integer is a whole number that can be positive, negative, or zero. For example, -3, 0, and 5 are all integers. They do not include fractions or decimals. Integers are used in various real-life situations, such as measuring temperatures, representing scores in games, or accounting for debts.


2. How do you add two integers with different signs?

Ans: When adding integers with different signs, you subtract the smaller absolute value from the larger one and keep the sign of the integer with the larger absolute value. For instance, if you add -7 and 3, you subtract 3 from 7 to get 4, then apply the sign of -7, resulting in -4.


3. Explain the concept of equivalent fractions.

Ans: Equivalent fractions are different fractions that represent the same value. For example, $\dfrac{1}{2}$ and $\dfrac{2}{4}$ are equivalent because they simplify to the same value. You can find equivalent fractions by multiplying or dividing the numerator and denominator by the same non-zero number.


4. How do you convert a fraction to a decimal?

Ans: To convert a fraction to a decimal, you divide the numerator by the denominator. For example, to convert $\dfrac{3}{4}$ to a decimal, you divide 3 by 4, which equals 0.75. This method is helpful for comparing fractions or performing calculations with decimals.


5. Define a rational number. Give examples.

Ans: A rational number is any number that can be expressed as a fraction a/b, where 'a' and 'b' are integers and 'b' is not zero. Examples include $\dfrac{1}{2}$, -$\dfrac{3}{4}$, and 5 (which can be written as $\dfrac{5}{1}$. Rational numbers can be positive, negative, or zero.


6. What is the area of a rectangle?

Ans: The area of a rectangle is calculated by multiplying its length by its width. For instance, if a rectangle has a length of 5 cm and a width of 3 cm, the area is 5 cm × 3 cm = 15 cm². This formula helps in various applications, such as determining the amount of paint needed for a wall.


7. How do you find the mean of a set of numbers?

Ans: To find the mean, add all the numbers together and then divide by the total count of the numbers. For example, for the numbers 4, 8, and 6, you add them to get 18, and then divide by 3 (the count), resulting in a mean of 6. The mean provides a useful measure of central tendency.

Mean = $\dfrac{Sum of all the observations}{Total number of observations}$


8. What are the properties of a triangle?

Ans: A triangle has three sides, three angles, and the sum of its interior angles is always 180 degrees. The length of any two sides must be greater than the length of the third side, which is known as the triangle inequality theorem. Triangles can be classified based on their angles or sides.


9. How do you find the circumference of a circle?

Ans: The circumference of a circle is calculated using the formula C = 2πr, where 'r' is the radius of the circle. For example, if the radius is 4 cm, the circumference would be C = 2 × π × 4 = 8π cm, which is approximately 25.12 cm. This is important for understanding the perimeter of circular objects.


10. Explain the concept of probability.

Ans: Probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1. For example, if a coin is flipped, the probability of getting heads is $\dfrac{1}{2}$ since there are two possible outcomes (heads or tails). Understanding probability helps in making predictions and informed decisions in various scenarios.


Here are some key questions for Class 7 Maths. To improve your understanding of each chapter, refer to the Chapter-wise Important Questions table. This resource will help you to understand the main concepts and prepare effectively for your exams.


How do Maths Important Questions Class 7 Help you with Exams?

  • Important questions emphasise the core ideas of each chapter, allowing you to concentrate your studies on what matters most. This targeted approach makes it easier to understand complex topics.

  • Working through these questions gives you hands-on experience with problem-solving. This practice not only strengthens your skills but also helps you become more comfortable with the types of questions you might face in the exam.

  • Familiarity with important questions can significantly increase your confidence when you enter the exam room. Knowing you’ve prepared well can ease anxiety and help you perform better under pressure.

  • By reviewing these questions, you can pinpoint specific topics where you might struggle. This awareness allows you to focus your study efforts on areas that need improvement, ensuring a more balanced understanding.

  • Practising important questions helps you develop strategies for managing your time during the exam. You’ll learn how to quickly assess questions and allocate your time wisely, which is crucial for completing the exam.


Vedantu's CBSE Class 7 Maths Important Questions are a valuable resource for students preparing for their exams. By focusing on key concepts and providing targeted practice, these questions help students understand the material better. They also improve confidence and improve problem-solving skills, making studying more effective. With consistent practice, students can identify their weak areas and enhance their overall performance. Using these important questions can lead to better exam results and a stronger foundation in Maths. Students are encouraged to make the most of this resource for successful learning and exam preparation.


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FAQs on CBSE Important Questions for Class 7 Maths - 2025-26

1. What exactly are CBSE Class 7 Maths Important Questions for the 2025-26 session?

CBSE Class 7 Maths Important Questions are a curated set of questions selected by subject experts from the entire NCERT syllabus. They focus on key concepts, frequently asked topics, and question types that are essential for building a strong foundation and have a higher probability of appearing in school examinations for the academic year 2025-26.

2. How does practising these important questions help improve my exam score?

Regularly solving these important questions offers several advantages for exam preparation. It helps you to:

  • Identify and focus on high-weightage topics from the syllabus.

  • Improve your problem-solving speed and time management skills.

  • Gain confidence by tackling a variety of question formats, including tricky ones.

  • Understand the application of formulas and concepts, moving beyond rote learning.

3. Are these important questions based on the latest CBSE 2025-26 NCERT syllabus?

Yes, all important questions are meticulously prepared to be in complete alignment with the latest CBSE guidelines and the prescribed NCERT textbook for the Class 7 Maths syllabus for the 2025-26 academic year. This ensures that you are practising the most relevant material for your exams.

4. How can I use these questions to aim for full marks in the Class 7 Maths final exam?

To aim for full marks, you should integrate these questions strategically into your study routine. First, thoroughly understand the concepts from your NCERT textbook. Then, use these important questions to test your knowledge chapter by chapter. Analyse the solutions to learn the correct step-by-step method and identify any weak areas that need more practice.

5. Which chapters in Class 7 Maths typically contain more high-value or tricky questions?

While all chapters are important, some often feature more complex or application-based problems. Pay special attention to chapters like 'Triangles and its Properties', 'Perimeter and Area', and 'Algebraic Expressions'. These topics frequently involve multi-step solutions and are a great source for High Order Thinking Skills (HOTS) questions.

6. What is the best way to approach a difficult HOTS (High Order Thinking Skills) question?

When you encounter a difficult HOTS question, it's best to follow a structured approach:

  • Read the question carefully multiple times to understand what is being asked.

  • Identify the core mathematical concepts or formulas required to solve it.

  • Break the problem down into smaller, manageable steps.

  • Write down each step logically and clearly, as method often carries marks.

  • Once solved, review your answer to check for logical or calculation errors.

7. Beyond just finding the correct answer, why is it crucial to understand the step-by-step solutions?

Understanding the step-by-step solution is more important than the final answer because it teaches the 'how' and 'why' of a problem. This practice helps you grasp the underlying logic, which you can then apply to any similar question in the exam. It reinforces conceptual clarity and ensures you don't lose marks for not showing the correct method as per CBSE standards.

8. What common mistakes should I avoid when solving important questions from topics like 'Simple Equations' or 'Fractions and Decimals'?

Some common pitfalls to be aware of include:

  • In Simple Equations, a frequent error is messing up the signs (positive/negative) when transposing terms from one side of the equation to the other.

  • In Fractions and Decimals, students often make calculation errors with LCM or misplace the decimal point during multiplication or division.

  • For chapters like Perimeter and Area, forgetting to use the correct units or failing to convert units (e.g., cm to m) is a common mistake.