Last Updated on August 16, 2024 by XAM CONTENT
Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 1 Integers. It is a part of Case Study Questions for CBSE Class 7 Maths Series.
| Chapter | Integers |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 7 |
| Subject | Maths |
| Useful for | Class 7 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 7 Maths Chapterwise Case Study |
Case Study Questions on Integers
Questions
Passage 1:
In a test $(+5)$ marks are given for every correct answer and (-3) Marks are given for every incorrect answers and no marks for not attempting any question. Daksh scored 16 marks, while Riya scores $(-8)$ marks Manya scored 10 marks.
Answer the following questions:
Q.1. Total marks scored by Daksh, Riya and Manya:
(a) 34
(b) 18
(c) -18
(d) 20
Difficulty Level: Easy
Ans. Option (b) is correct.
Explanation: Since, Total marks scored by Darsh, $\begin{aligned} \text { Riya and Mayan } & =16+(-8)+10 \\ & =18\end{aligned}$
Q. 2. Product of Marks scored by all of then is:
(a) -2440
(b) -1280
(c) 1440
(d) 20
Difficulty Level: Easy
Ans. Option (b) is correct.
Explanation: Since, Product of marks scored by all of them
$$
\begin{aligned}
& =(16) \times(-8) \times 10 \\
& =16 \times(-80) \\
& =-1280
\end{aligned}
$$
Q.3. If Daksh get 5 correct answers, then number of questions be attempt incorrectly is:
(a) 7
(b) 5
(c) 3
(d) 6
Difficulty Level: Medium
Ans. Option (c) is correct.
Explanation: Total Marks scored by Daksh $=16$
but No. of correct question by Daksh $=5$
Marks scored for correct question $=5 \times 5=25$
Deducting marks of wrong question $=$ Total marks
– correct question scored
$$
\begin{aligned}
& =26-25 \\
& =-9
\end{aligned}
$$
Hence, No of incorrect questions
$$
\begin{aligned}
& =\frac{\text { total dedecting marks }}{\text { one mark no. of dedection }} \\
& =\frac{-9}{-3}=3
\end{aligned}
$$
Q. 4. If Riya has attempted 6 questions incorrectly, then find the number of questions she has attempted correctly?
Difficulty Level: Medium
Sol. Total marks scored by Riya =(-8)
No. of incorrect question =6
Marks scored by incorrect question =6×(-3)=-18
Marks scored by correct question = total scored by
Riya – incorrect question numbers
$$
=(-8)-(+8)
$$
Hence, No. of correct question
$$
\begin{aligned}
& =\frac{\text { total mark by correct question }}{\text { mark of } 1 \text { corr.question }} \\
& =\frac{10}{5}=2
\end{aligned}
$$
Also check
- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- Integers Class 7 Case Study Questions Maths Chapter 1
Topics from which case study questions may be asked
- Properties of Addition and Subtraction of Integers
- Multiplication of Integers
- Properties of Multiplication of Integers
- Division of Integers
- Properties of Division of Integers
Integers are the set of whole numbers along with the negative numbers.
Case study questions from the above given topic may be asked.
Operations on Integers
- To add two integers of the same sign, add their absolute values and put the common sign.
- To add two integers of the opposite signs, find the difference in their absolute values and put the sign of the number with greater absolute value.
- The product of two positive integers is always a positive integer.
- The product of a positive and a negative integer is always a negative integer.
- The product of two negative integers is always a positive integer.
- When a positive integer is divided by a negative integer, the quotient is a negative integer and vice versa.
- When a negative integer is divided by a negative integer, the quotient is a positive integer.
Zero is the additive identity and 1 is the multiplicative identity for integers.
Therefore, for any
integer ‘a’, a + 0 = 0 + a = a and a × 1 = 1 × a = a.
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Frequently Asked Questions (FAQs) on Integers Case Study
Q1: What are integers?
A1: Integers are a set of numbers that include all the whole numbers (positive), their opposites (negative), and zero. In mathematical terms, integers are the set of numbers {…, -3, -2, -1, 0, 1, 2, 3, …}.
Q2: How are integers different from whole numbers?
A2: Whole numbers are non-negative numbers including zero, such as 0, 1, 2, 3, and so on. Integers, on the other hand, include both positive and negative numbers along with zero.
Q3: How do you add integers?
A3: To add two integers:
If both integers have the same sign, add their absolute values, and give the result the same sign.
If the integers have different signs, subtract the smaller absolute value from the larger absolute value and give the result the sign of the integer with the larger absolute value.
Q4: What is the rule for subtracting integers?
A4: Subtracting an integer is the same as adding its opposite. For example, to subtract -3 from 5, you add the opposite of -3, which is +3, so the result is 5 + 3 = 8.
Q5: Can you explain the multiplication rule for integers?
A5: The multiplication rule for integers is:
When multiplying two integers with the same sign, the product is positive.
When multiplying two integers with different signs, the product is negative.
Q6: What are the properties of integers?
A6: Some important properties of integers include:
Closure: The sum, difference, and product of any two integers will always be an integer.
Commutative Property: The order of addition or multiplication does not affect the result.
Associative Property: The grouping of numbers in addition or multiplication does not affect the result.
Distributive Property: Multiplication distributes over addition or subtraction.
Q7: Why is zero an important integer?
A7: Zero is a unique integer that is neither positive nor negative. It is the additive identity, meaning any integer added to zero remains unchanged. Zero also serves as the reference point on the number line, separating positive integers from negative integers.
Q8: How can we represent integers on a number line?
A8: Integers can be represented on a number line with zero at the center, positive integers to the right of zero, and negative integers to the left. The distance of an integer from zero on the number line represents its absolute value.
Q9: Are there any online resources or tools available for practicing comparing quantities case study questions?
A9: We provide case study questions for CBSE Class 8 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
