The latest CBSE Class 7 Mathematics textbook, titled “Ganita Prakash”, has been introduced by NCERT in alignment with the National Education Policy (NEP) 2020. This new learner-friendly book focuses on promoting conceptual understanding, critical thinking, and application-based learning in mathematics.
To help students master the new exam pattern, we are providing chapterwise Assertion Reason Questions for CBSE Class 7 Maths based on the Ganita Prakash textbook. These questions are framed as per the competency-based education (CBE) guidelines, ensuring that students develop deep mathematical reasoning, logical thinking, and analytical skills.
| Chapter | Working with Fractions |
| Book | Ganita Prakash: Textbook of Mathematics |
| Type of Questions | Assertion Reason 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 Assertion Reason |
Assertion Reason Questions on Working with Fractions
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements – an Assertion (A) and a Reason (R). Choose the correct option:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false and R is also false.
Q1. Assertion (A): The product of two proper fractions is always less than each of the fractions.
Reason (R): When two numbers less than 1 are multiplied, the result is smaller than both.
Answer: (a) Both A and R are true and R is the correct explanation of A.
Explanation: Multiplying two numbers between 0 and 1 always gives a smaller product.
Difficulty Level: Conceptual
Q2. Assertion (A): $\frac{3}{4} \times \frac{2}{5}=\frac{6}{20}$ and it cannot be simplified further.
Reason (R): A product of two fractions is always in its lowest form.
Answer: (c) $A$ is true but $R$ is false.
Explanation: $\frac{6}{20}=\frac{3}{10}$; it can be simplified. A fraction needs to be reduced manually unless already in lowest form.
Difficulty Level: Moderate
Q3. Assertion (A): To divide a fraction by another, we multiply the first by the reciprocal of the second.
Reason (R): $\frac{a}{b} \div \frac{c}{d}=\frac{a \times d}{b \times c}$ is Brahmagupta’s formula for division of fractions.
Answer: (a) Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
Explanation: This is the standard method for dividing fractions and is historically known.
Difficulty Level: High Order Thinking Skill (HOTS)
Q4. Assertion (A): If one number is greater than 1 and another is a proper fraction, then the product lies between the two numbers.
Reason (R): The product of a number greater than 1 and a number less than 1 is always greater than 1.
Answer: (c) A is true but R is false.
Explanation: The product is between the two numbers, but not necessarily greater than 1.
Difficulty Level: Conceptual
Q5. Assertion (A): $\frac{1}{2} \times \frac{1}{4} \times \frac{1}{5} \times \frac{1}{6} \times \frac{1}{10}=\frac{1}{2400}$
Reason $(R)$ : When multiplying unit fractions, we multiply all numerators and all denominators separately.
Answer: (a) Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
Explanation: $\frac{1}{2} \times \frac{1}{4} \times \frac{1}{5} \times \frac{1}{6} \times \frac{1}{10}=\frac{1}{2400}$ by multiplying all denominators.
Difficulty Level: Tough
Also check
- Ganita Prakash Class 7 Maths Chapter 8 Working with Fractions Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 7 A Tale of Three Intersecting Lines Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 6 Number Play Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 5 Parallel and Intersecting Lines Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 4 Expressions using Letter-Numbers Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 3 A Peek Beyond the Point Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 2 Arithmetic Expressions Assertion Reason Questions
- Ganita Prakash Class 7 Maths Chapter 1 Large Numbers Around Us Assertion Reason Questions
🚀 Boost Your Exam Prep: Get assertion reason questions for all subjects (Class 6-12) now!
👉 Explore more resources on CBSE Class 7
Topics from which assertion reason questions may be asked
- Types of fractions
- Addition and subtraction of fractions
- Equivalent fractions and simplification
Fractions are the keys to dividing and sharing in both math and everyday life.
Frequently Asked Questions (FAQs) on Working with Fractions Assertion Reason Questions
Q1: What is Ganita Prakash for Class 7 Maths?
A1: Ganita Prakash is the newly released NCERT textbook for Class 7 Mathematics, designed as per the National Education Policy (NEP) 2020. It promotes logical reasoning, activity-based learning, and real-life application of maths concepts.
Q2: What are Assertion Reason questions in CBSE Class 7 Maths?
A2: Assertion Reason questions consist of two related statements – an Assertion (A) and a Reason (R). Students must analyze both statements and determine if they are correct and whether the reason explains the assertion logically.
Q3: Why are Assertion Reason questions important in Maths?
A3: These questions help students develop critical thinking and deep conceptual clarity. They are aligned with the competency-based format introduced by CBSE and help assess logical reasoning beyond memorization.
Q4: Are Assertion Reason questions part of the new CBSE Class 7 exam pattern?
A4: Yes, CBSE has included assertion reason, case study, and competency-based questions in the latest exam format. These assess students’ understanding and application of concepts in various scenarios.
Q5: How can I prepare for Class 7 Maths Assertion Reason questions effectively?
A5: Practice chapterwise questions regularly, focus on understanding concepts, and review explanations for each answer. Solving a variety of moderate to tough level questions is key to mastering this format.
Q6: Are the Assertion Reason questions based on the Ganita Prakash chapters?
A6: Yes, all questions are created strictly based on the topics and themes covered in the Ganita Prakash Class 7 Maths textbook to ensure alignment with the NCERT curriculum.
Q7: Where can I find chapterwise Assertion Reason questions for Class 7 Maths?
A7: You can find them for free on xamcontent.com, organized by chapter and difficulty level, along with answers and explanations.
