CBSE Class 8 Mathematics · Ch 1: A Square and A Cube
CBSE Class 8 Mathematics · Ch 1: A Square and A Cube is an online chapter test in the CBSE Class 8 pattern, covering A Square and A Cube. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.
Topics in this test
| Topic | Questions |
|---|---|
| A Square and A Cube | 30 |
Difficulty: 3 easy · 9 medium · 18 hard
Sample questions with answers
The first 5 questions of this free test.
Q1. Which one is the odd one out among the following numbers?
- A. $27$
- B. $16$
- C. $25$
- D. $9$
Solution
$9$, $16$ and $25$ are square numbers ($3^2, 4^2, 5^2$), while $27=3^3$ is a cube number, so $27$ is the odd one out.
Q2. Assertion (A): The number $90$ is a perfect square. Reason (R): A perfect square always ends in the digit $0, 1, 4, 5, 6$ or $9$. Choose the correct option.
- A. Both A and R are true and R explains A
- B. A is true but R is false
- C. A is false but R is true
- D. Both A and R are true but R does not explain A
Solution
The reason about allowed last digits is a true fact, but $90$ is not a perfect square (it ends in a single $0$ and lies between $81$ and $100$), so A is false while R is true.
Q3. Consider the statements about the number $36$. I: It is a square number. II: It is a cube number. III: It ends in a digit allowed for a perfect square. Which statements are correct?
- A. I, II and III
- B. II and III only
- C. I and III only
- D. I and II only
Solution
$36=6^2$ is a square ending in $6$ (an allowed digit), but it is not a cube since no whole number cubed gives $36$, so I and III are correct.
Q4. Which of the following is a cube number?
- A. $49$
- B. $100$
- C. $64$
- D. $81$
Solution
A cube number is a whole number multiplied by itself thrice; $64=4\times4\times4=4^3$, so $64$ is a cube number.
Q5. A square number has $5$ in its units place. What must be the units digit of its square root?
- A. $2$ or $8$
- B. $5$
- C. $1$ or $9$
- D. $0$
Solution
Only numbers ending in $5$ give squares ending in $5$ (like $15^2=225$), so the square root must end in $5$.
Frequently asked questions
How many questions are in the CBSE Class 8 Mathematics · Ch 1: A Square and A Cube?
30 questions for 30 marks, to be answered in 20 minutes.
Is there negative marking in the CBSE Class 8 Mathematics · Ch 1: A Square and A Cube?
No — wrong answers are not penalised in this test.
Which topics does the CBSE Class 8 Mathematics · Ch 1: A Square and A Cube cover?
A Square and A Cube (30 questions).
Is the CBSE Class 8 Mathematics · Ch 1: A Square and A Cube free?
Yes — this test is free. Create a free SeatBeat account and attempt it online; you get the solutions and your score analysis after submitting.
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