Integers Class 7 Extra Questions and Answers Free PDF Download
FAQs on CBSE Important Questions for Class 7 Maths Integers - 2025-26
1. What types of important questions can be expected from CBSE Class 7 Maths Chapter 1, Integers, for the 2025-26 session?
For the 2025-26 session, you can expect a mix of questions from the Integers chapter. These typically include:
1-mark questions: Finding the additive inverse, multiplying or dividing two integers, and simple true/false questions based on properties.
2-mark questions: Verifying properties like the associative or distributive property with given numbers.
3-mark questions: Word problems involving temperature changes, elevation differences, or scores in a quiz.
HOTS questions: Problems requiring multiple steps or the application of more than one property to simplify an expression.
2. Which properties of integers are most frequently tested in exams?
The most frequently tested properties of integers in Class 7 exams are the Distributive Property and the Associative Property. The distributive property (a × (b + c) = a × b + a × c) is crucial for simplifying complex multiplications. The associative property is often used in questions that ask you to verify if the property holds for subtraction or division, which it does not.
3. What is the most common mistake students make in exam questions involving the subtraction of negative integers?
The most common mistake is mishandling the signs. Many students forget that subtracting a negative integer is the same as adding its positive counterpart. For example, in the problem 15 – (-5), students might incorrectly calculate it as 10 instead of the correct answer, 15 + 5 = 20. Always remember that two consecutive negative signs become a positive.
4. Can you provide an example of a 3-mark word problem from Integers and how to solve it?
A typical 3-mark question might be: "In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks for every incorrect answer. Rohan attempts all questions but gets only 6 correct. What is his final score?"
Solution Steps:
Marks for 6 correct answers = 6 × 5 = 30 marks.
Number of incorrect answers = 10 - 6 = 4.
Marks for 4 incorrect answers = 4 × (-2) = -8 marks.
Rohan's final score = Total marks for correct answers + Total marks for incorrect answers = 30 + (-8) = 22 marks.
5. Why is the distributive property so important for solving complex integer problems in exams?
The distributive property is a powerful tool because it helps break down difficult multiplication problems into simpler ones. For example, calculating 45 × (-98) is hard. But using the distributive property, you can write it as 45 × (2 - 100). This becomes (45 × 2) - (45 × 100), which is 90 - 4500 = -4410. This method is faster and reduces calculation errors, which is why it is essential for exam questions designed to test mental maths and simplification skills.
6. What kind of Higher-Order Thinking Skills (HOTS) questions can be framed from the Integers chapter?
HOTS questions from Integers often involve patterns or real-life scenarios that require logical reasoning. For example, a question might ask: "An elevator descends into a mine shaft at a rate of 6 m/min. If the descent starts from 10 m above ground level, how long will it take to reach -350 m?" This question requires you to calculate the total distance (10 - (-350) = 360 m) and then use it to find the time, testing your understanding beyond simple arithmetic.
7. How can I use a number line as a quick verification tool for integer operations during an exam?
A number line is an excellent tool for double-checking answers, especially with negative numbers. To check (-3) + 5, start at -3 on the number line and move 5 units to the right, landing on +2. To check 4 - 7, start at 4 and move 7 units to the left, landing on -3. Visualising this movement helps prevent sign errors and confirms that your answer is logical, which is a useful strategy under exam pressure.
8. Why does the closure property not apply to the division of integers? Can you give an example?
The closure property for an operation states that if you perform the operation on any two numbers in a set, the result will also be in that set. Division of integers is not closed because dividing two integers does not always result in another integer. For instance, if we take two integers, 5 and 2, their division (5 ÷ 2) gives 2.5, which is a decimal, not an integer. This is a key concept often tested in 1-mark objective questions.
9. What is the additive inverse, and how is it used to solve important questions in Class 7 Maths?
The additive inverse of an integer is the number that, when added to it, results in zero. For example, the additive inverse of 7 is -7, because 7 + (-7) = 0. In exams, this concept is important for solving equations and word problems. For instance, a question might ask what number should be subtracted from -3 to get -9. The solution involves setting up an equation: (-3) - x = -9. Understanding the additive inverse helps in isolating the variable and solving the problem correctly.











