CBSE Class 7 Maths Important Questions

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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