Practicing Chapter 1 A Square and a Cube Class 8 Maths Ganita Prakash Part 1 MCQs helps students understand important mathematical concepts through quick and effective revision. This chapter introduces students to perfect squares, perfect cubes, square roots, cube roots, number patterns, and different methods of identifying square and cube numbers.
These MCQs are prepared according to the latest CBSE Board syllabus and help students improve their problem-solving skills before exams. Solving Class 8 MCQs regularly allows learners to check their conceptual understanding and revise important topics in less time.
Here, students can practice Class 8 Maths MCQs based on Chapter 1 A Square and a Cube with answers. Each question is designed to strengthen calculation speed, logical thinking, and confidence in Mathematics. Attempt these multiple-choice questions to revise the chapter and prepare better for school tests and assessments.
Chapter 1 A Square and a Cube Class 8 Maths Ganita Prakash Part 1 MCQs
Practice these Class 8 Maths Chapter 1 A Square and a Cube MCQs with answers to revise important concepts like perfect squares, cubes, square roots, and cube roots for your CBSE exams.
Q. How many numbers that are not perfect squares are present between (30^2) and (31^2)?
(a) 62
(b) 60
(c) 61
(d) 59
Answer: (b) 60
Q. The square of a number having 2 at its unit place will always have which digit at the unit place?
(a) 6
(b) 8
(c) 4
(d) 2
Answer: (c) 4
Q. Find the number of perfect squares between 16 and 81.
(a) 6
(b) 8
(c) 5
(d) 4
Answer: (d) 4
Q4. A six-digit number can have a cube root with a maximum of:
(a) 6 digits
(b) 3 digits
(c) 2 digits
(d) 1 digit
Answer: (c) 2 digits
Q. What is the cube root of 8?
(a) 4
(b) 2
(c) 16
(d) 64
Answer: (b) 2
Q. Identify the number which is not a perfect square.
(a) 961
(b) 468
(c) 1600
(d) 2500
Answer: (b) 468
Q. Which of these numbers cannot have 4 as the unit digit after squaring?
(a) 52
(b) 68
(c) 34
(d) 102
Answer: (c) 34
Q. The cube value of a number can be:
(a) only positive
(b) positive or negative
(c) only negative
(d) never zero
Answer: (b) positive or negative
Q. If the last digit of a number is 3, the last digit of its cube will be:
(a) 9
(b) 3
(c) 7
(d) 1
Answer: (c) 7
Q. The cube of a number ending with digit 7 always ends with:
(a) 7
(b) 9
(c) 5
(d) 3
Answer: (d) 3
Q. Which of the following are factor pairs of 25?
(a) Only (5,5)
(b) Only (1,25)
(c) Both (1,25) and (5,5)
(d) (2,25)
Answer: (c) Both (1,25) and (5,5)
Q. Select the number that cannot represent a perfect square.
(a) 529
(b) 198
(c) 841
(d) 625
Answer: (b) 198
Q. The square of a number ending with digit 9 has the unit digit:
(a) 9
(b) 6
(c) 3
(d) 1
Answer: (d) 1
Q. Which digit cannot appear at the unit place of any square number?
(a) 4
(b) 8
(c) 6
(d) 0
Answer: (b) 8
Q. Choose the square of an even natural number.
(a) 625
(b) 169
(c) 144
(d) 441
Answer: (c) 144
Q. How many natural numbers are present between (13^2) and (14^2)?
(a) 13
(b) 14
(c) 28
(d) 26
Answer: (d) 26
Q. Find the value of
1 + 3 + 5 + 7 + 9 + 11 + 13.
(a) 52
(b) 49
(c) 41
(d) 36
Answer: (b) 49
Q. Calculate the square root of 196.
(a) 15
(b) 12
(c) 14
(d) 11
Answer: (c) 14
Q. Find the smallest square number exactly divisible by 2, 3, and 8.
(a) 576
(b) 64
(c) 144
(d) 1296
Answer: (c) 144
Q. What is the value of (24^3)?
(a) 15625
(b) 13824
(c) 10648
(d) 12167
Answer: (b) 13824
Q. Choose the perfect cube from the following numbers.
(a) 512
(b) 243
(c) 392
(d) 8640
Answer: (a) 512
Q. Which number given below is not a perfect cube?
(a) 125
(b) 667
(c) 343
(d) 216
Answer: (b) 667
Q. Identify the cube of an even natural number.
(a) 4913
(b) 3375
(c) 1728
(d) 1331
Answer: (c) 1728
Q. What will be the unit digit in the cube of 23?
(a) 7
(b) 9
(c) 6
(d) 3
Answer: (a) 7
Q. Find the cube root of 6859.
(a) 21
(b) 17
(c) 18
(d) 19
Answer: (d) 19
Q. A perfect square number cannot have which digit at its end?
(a) 6
(b) 1
(c) 8
(d) 9
Answer: (c) 8
Q. Calculate the cube of 4.
(a) 128
(b) 64
(c) 32
(d) 16
Answer: (b) 64
Q. Find the square value of 25.
(a) 725
(b) 525
(c) 125
(d) 625
Answer: (d) 625
Q. Finding the cube root is the opposite process of:
(a) Squaring
(b) Division
(c) Cubing
(d) Addition
Answer: (c) Cubing
Q. The cube obtained from any even number is always:
(a) Odd
(b) Prime
(c) Negative
(d) Even
Answer: (d) Even
Important Topics Covered in Class 8 Maths Chapter 1 A Square and a Cube
The chapter A Square and a Cube builds the foundation of number patterns and mathematical calculations. Before attempting exams, students should revise these important concepts:
| Topic | Learning Outcome |
| Perfect Squares | Learn how to identify square numbers |
| Properties of Squares | Understand patterns of square numbers |
| Square Roots | Find the original number from a square |
| Perfect Cubes | Identify numbers formed by cubing |
| Cube Roots | Learn the reverse process of finding cubes |
| Prime Factorisation | Find squares and cubes using factors |
Benefits of Practicing A Square and a Cube Class 8 MCQs
Solving A Square and A Cube MCQ Class 8 questions helps students revise the chapter quickly and understand important concepts clearly. MCQ practice improves:
- Speed and accuracy in calculations
- Understanding of square and cube patterns
- Exam preparation through objective questions
- Confidence in solving Maths problems
- Ability to avoid common calculation mistakes
Regular practice of MCQ on A Square and A Cube Class 8 also helps students prepare for school exams and competitive-style questions.
Tips to Solve Class 8 Maths Chapter 1 MCQs
Follow these simple tips while solving questions:
- Remember squares from 1 to 30
- Learn cubes from 1 to 20
- Check the unit digit before solving lengthy questions
- Use prime factorisation for perfect squares and cubes
- Practice different types of MCQs regularly
A strong understanding of squares and cubes will make upcoming Maths chapters easier.
