Class 8 Mathematics Chapter 1: A Square and A Cube — practice questions with answers
Free practice for Class 8 Mathematics, Chapter 1: A Square and A Cube. Try the solved questions below, then take a free test with instant marking and explanations.
48 questions12 easy, 27 medium, 9 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Every natural number has an even number of factors.
True or false?
Show answer
Answer: False
Why: Perfect squares like 1, 4 and 9 have an odd number of factors. [p.2]
Why: Perfect squares like 1, 4 and 9 have an odd number of factors. [p.2]
Q2. The squares of natural numbers, such as 1, 4, 9 and 16, are called perfect ______.
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Answer: squares
Why: Perfect squares are squares of natural numbers. [p.4]
Why: Perfect squares are squares of natural numbers. [p.4]
Q3. Which of these can be the units digit of a perfect square? (Tick all that apply)
- 1
- 4
- 6
- 7
- 3
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Answer: A. 1; B. 4; C. 6
Why: Squares end only in 0, 1, 4, 5, 6 or 9 — never 2, 3, 7 or 8. [p.4]
Why: Squares end only in 0, 1, 4, 5, 6 or 9 — never 2, 3, 7 or 8. [p.4]
Q4. A number ends in exactly 3 zeros. How many zeros does its square end with?
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Answer: 6 (± 0)
Why: The number of end zeros doubles: 3 → 6. [p.5]
Why: The number of end zeros doubles: 3 → 6. [p.5]
Q5. What is the parity of the square of an odd number?
- Odd
- Even
- It can be either
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Answer: A. Odd
Why: Odd × odd is odd; even × even is even. [p.5]
Why: Odd × odd is odd; even × even is even. [p.5]
Q6. If y = x², then x is called the square ______ of y.
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Answer: root
Why: 7 is the square root of 49. [p.8]
Why: 7 is the square root of 49. [p.8]
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Frequently asked questions
How many practice questions are there for Class 8 Mathematics Chapter 1: A Square and A Cube?
48 questions (12 easy, 27 medium, 9 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 8 Mathematics syllabus, used by CBSE and many state boards.