Last Updated on September 18, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 8 maths. In this article, you will find assertion reason questions for CBSE Class 8 Maths Chapter 5 Square and Square Roots. It is a part of Assertion Reason Questions for CBSE Class 8 Maths Series.

Chapter | Square and Square Roots |

Type of Questions | Assertion Reason Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Assertion Reason |

### Assertion Reason Questions on Square and Square Roots

**Questions**:

Q. 1. Assertion (A): The perfect square number out of 2, 3,4 and 5 is 4.

Reason(R): A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.

(a) Both AÂ and RÂ are true and RÂ 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) AÂ is false but RÂ is true.

** Difficulty Level: **Medium

Ans. Option (a) is correct

Explanation: R is correctly defining the square of a number is either multiply number by itself or take 2nd exponent of a number.

Q. 2. Assertion (A): The unit digit in the square of the number 2644 is 4.

Reason (R): Units digit of a number is the digit in the one’s place of the number, that is it is the rightmost digit of the number.

(a) Both AÂ and RÂ are true and RÂ 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) AÂ is false but RÂ is true.

** Difficulty Level: **Hard

Ans. Option (d) is correct

Explanation: Unit digit in the square of 2644 is 6.

### Also check

- Comparing Quantities Class 8 Assertion Reason Questions Maths Chapter 7
- Cube and Cube Roots Class 8 Assertion Reason Questions Maths Chapter 6
- Algebraic Expressions and Identities Class 8 Assertion Reason Questions Maths Chapter 8
- Square and Square Roots Class 8 Assertion Reason Questions Maths Chapter 5
- Data Handling Class 8 Assertion Reason Questions Maths Chapter 4
- Understanding Quadrilaterals Class 8 Assertion Reason Questions Maths Chapter 3
- Linear Equations in One Variable Class 8 Assertion Reason Questions Maths Chapter 2
- Rational NumbersÂ Class 8 Assertion Reason Questions Maths Chapter 1

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### Topics from which assertion reason questions may be asked

- Square Number
- Properties of Square Number
- Patterns of Square Numbers
- Finding the square of Number
- Pythagorean Triplet
- Square Roots (By Repeated Subtraction)
- Finding Square Root through Prime Factorisation
- Finding Square Root by division Method
- Square Roots of Decimals

Square root are the inverse operations of squares.

Assertion reason questions from the above given topic may be asked.

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### Frequently Asked Questions (FAQs) on Square and Square Roots Assertion Reason Questions Class 8

#### Q1: What are assertion reason questions?

A1: Assertion-reason questions consist of two statements: an assertion (A) and a reason (R). The task is to determine the correctness of both statements and the relationship between them. The options usually include:

(i) Both A and R are true, and R is the correct explanation of A.

(ii) Both A and R are true, but R is not the correct explanation of A.

(iii) A is true, but R is false.

(iv) A is false, but R is true. or A is false, and R is also false.

#### Q2: Why are assertion reason questions important in Maths?

A2: Students need to evaluate the logical relationship between the assertion and the reason. This practice strengthens their logical reasoning skills, which are essential in mathematics and other areas of study.

#### Q3: How can practicing assertion reason questions help students?

A3: Practicing assertion-reason questions can help students in several ways:**Improved Conceptual Understanding:**Â It helps students to better understand the concepts by linking assertions with their reasons.**Enhanced Analytical Skills:**Â It enhances analytical skills as students need to critically analyze the statements and their relationships.**Better Exam Preparation:**Â These questions are asked in exams and practicing them can improve your performance.

#### Q4: What strategies should students use to answer assertion reason questions effectively?

A4: Students can use the following strategies:**Understand Each Statement Separately:**Â Determine if each statement is true or false independently.**Analyze the Relationship:**Â If both statements are true, check if the reason correctly explains the assertion.

#### Q5: What are common mistakes to avoid when answering Assertion Reason questions?

A5: Common mistakes include:

Not reading the statements carefully and missing key details.

Assuming the Reason explains the Assertion without checking the logical connection.

Confusing the order or relationship between the statements.

Overthinking and adding information not provided in the question.

#### Q6: What resources can help me practice Assertion Reason Questions for Class 8 Maths?

A6: Use study guides specifically designed for Assertion-Reason questions. Online educational platforms and reference books for Class 8 Maths also offer practice questions and explanations. xamcontent.com also provides assertion reason questions for cbse class 8 maths.

#### Q7: **What are some fundamental facts related to square of a number?**

**What are some fundamental facts related to square of a number?**A7: Some of the fundamental facts are â€“

(1) If a number has 1 or 9 in units place then itâ€™s square ends in 1.

(2) If a number has 4 or 6 in units place then its square ends in 6.

#### Q8: **What are some important properties of square numbers**?

**What are some important properties of square numbers**?A8: Some properties of square numbers are given below-

(1) A number ending in 2, 3, 7 or 8 at unitâ€™s place is never a perfect square.

(2) A number ending in an odd number of zeroâ€™s is never a perfect square. e.g., 40, 4000 etc.

(3) A number ending in an even number of zero may or may not be perfect square e.g., 2500 is a perfect square, but 1700 is not a perfect square.

(4) The square of an even number is even.

(5) The square of an odd number is odd.

#### Q9: **What is the perfect square numbers between**Â 30 and 40?

**What is the perfect square numbers between**Â 30 and 40?

A9: The perfect square number between 30 and 40 is 36.

#### Q10: **Are there any online resources or tools available for practicing “Square and Square Roots**“** assertion reason questions?**

A10: A9: We provide assertion reason questions for CBSE Class 8 Maths on ourÂ website. Students can visit the website and practice sufficient assertion reason questions and prepare for their exams. If you need more case study questions, then you can visitÂ Physics GurukulÂ website. they are having a large collection of case study questions for all classes.