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Important Questions for Class 8 Maths Chapter 7 PDF Download

The Important Questions for Class 8 Maths Chapter 7 cover key concepts from A Square And A Cube class 8 ganita prakash, including perfect squares, perfect cubes, square roots, cube roots, and application-based problems. Regular practice helps improve conceptual understanding, accuracy, and exam performance.
authorImageNeha Tanna6 Aug, 2026
Important Questions for Class 8 Maths Chapter 7

Practising A Square And A Cube class 8 maths important questions is one of the most effective ways to build a strong understanding of squares, square roots, cubes, and cube roots. Chapter 7 of Ganita Prakash introduces these fundamental concepts through problem-solving and real-life applications that strengthen logical thinking and calculation skills. 

 Solving A Square And A Cube Class 8 Ganita Prakash MCQ helps students improve accuracy, identify important question patterns, and prepare confidently for school exams. Regular practice also develops conceptual clarity, making it easier to solve both objective and descriptive questions with confidence. 

A Square And A Cube Class 8 Maths Important Questions

The following A Square And A Cube class 8 maths important questions are designed to help students strengthen conceptual understanding of squares, cubes, square roots, and cube roots while preparing effectively for school examinations. 

 

  1. What is the cube root of 512?

    • (A) 6

    • (B) 8

    • (C) 9

    • (D) 7

  2. The least three-digit perfect square is:

    • (A) 100

    • (B) 121

    • (C) 144

    • (D) 81

  3. The number of perfect cubes between 1 and 1000 inclusive is:

    • (A) 9

    • (B) 10

    • (C) 8

    • (D) 12

  4. Which smallest number must be multiplied by 180 to make it a perfect square?

    • (A) 2

    • (B) 3

    • (C) 5

    • (D) 7

  5. Cube of (–4) is

    • (A) –64

    • (B) 64

    • (C) –16

    • (D) –8

  6. The cube of an even number is:

    • (A) Always even

    • (B) Always odd

    • (C) Sometimes odd

    • (D) None of these

  7. Cube root of 15625 is

    • (A) 5

    • (B) 15

    • (C) 25

    • (D) 35

  8. Assertion: 1000 is a perfect cube.
    Reason: The perfect cube is the result of multiplying the same integer three times.

    • (A) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

    • (B) Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion.

    • (C) Assertion is true, but Reason is false.

    • (D) Assertion is false, but Reason is true.

  9. Which of the following numbers is not a perfect cube?

    • (A) 216

    • (B) 343

    • (C) 100

    • (D) 512

  10. Which is the smallest natural number by which 243 must be multiplied to make the product a perfect cube?

  • (A) 3

  • (B) 9

  • (C) 8

  • (D) 7

Q. No.

Correct Answer

Explanation

1

B (8)

8³ = 512

2

A (100)

100 is the smallest three-digit perfect square (10² = 100).

3

B (10)

Perfect cubes from 1³ to 10³ (1000) total 10.

4

C (5)

180 = 2² × 3² × 5. Multiplying by 5 makes all prime exponents even.

5

A (–64)

(–4)³ = –64.

6

A (Always even)

The cube of an even number is always even.

7

C (25)

25³ = 15625.

8

A

Both Assertion and Reason are true, and the Reason correctly explains the Assertion.

9

C (100)

100 is not a perfect cube.

10

A (3)

243 = 3⁵. Multiplying by 3 gives 3⁶, which is a perfect cube.

Important Questions for Class 8 Maths Chapter 7  PDF Download

Students looking for the Important Questions for Class 8 Maths Chapter 7 PDF Download can access the complete set of chapter-wise practice questions below. 

 The PDF includes exam-oriented questions from A Square And A Cube Class 8 Ganita Prakash, covering perfect squares, perfect cubes, square roots, cube roots, and application-based problems. Scroll down to check the PDF and download it for quick revision and regular practice. 

Important Questions for Class 8 Maths Chapter 7  PDF Download

How to Use Important Questions for Class 8 Maths Chapter 7 Effectively?

Practising important questions in a planned manner helps strengthen concepts and improves problem-solving speed. Instead of memorising answers, focus on understanding the methods used to solve different types of questions from the chapter.

  • Solve the questions only after completing the chapter and understanding the basic concepts.

  • Practice without referring to the solutions to evaluate your preparation level.

  • Identify weak topics such as square roots, cube roots, or perfect squares and revise them regularly.

  • Time yourself while solving questions to improve speed and accuracy for examinations.

  • Revisit incorrect answers, understand your mistakes, and practice similar questions until you can solve them confidently.

Practising the Important Questions for Class 8 Maths Chapter 7 is an effective way to strengthen concepts from A Square And A Cube Class 8 Ganita Prakash. Regular practice improves accuracy, problem-solving skills, and confidence while helping students prepare for school examinations. 

 Revising these questions consistently also makes it easier to solve a variety of objective and descriptive questions with confidence. 

 

FAQs

What topics are covered in the Important Questions for Class 8 Maths Chapter 7?

The important questions cover key topics from A Square And A Cube Class 8 Ganita Prakash, including perfect squares, perfect cubes, square roots, cube roots, properties, and application-based problems.

Are these important questions useful for school exams?

Yes, the questions are designed to help students revise important concepts, practice different question types, and prepare effectively for school and periodic examinations.

How should students practice the Important Questions for Class 8 Maths Chapter 7?

Students should first complete the chapter, solve the questions independently, review their mistakes, and revise challenging concepts regularly to improve accuracy and confidence.
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