Chapter Exam

Chapter-1 A Square and A Cube — Online MCQ Test

Q: Which of the following is a perfect square?

Answer: B. 49 — 49 = 7 × 7, making it a perfect square. The others are not products of equal integers.

Q: Find √225.

Answer: C. 15 — √225 = 15 because 15 × 15 = 225.

Q: If a number's prime factorisation is 2² × 5², what is its square root?

Answer: A. 10 — 2² × 5² = (2 × 5)² = 10². Therefore, √(2² × 5²) = 2 × 5 = 10.

Q: If √(x + 5) = 7, then x = ____.

Answer: A. 44 — √(x + 5) = 7 means x + 5 = 49, so x = 44. Squaring both sides gives us the value of x.

MATHS · Grade 8 · CBSE(NCERT)

Practice Chapter-1 A Square and A Cube with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 8 MATHS. This chapter covers: perfect square - square root - radicals - perfect cube - cube root - prime factorisation - long division method - estimating roots. AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Chapter-1 A Square and A Cube — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 8 MATHS — Chapter-1 A Square and A Cube, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is a perfect square?

A. A number that is the product of two equal integers ✓
B. A number divisible by 2
C. A number greater than 10
D. A number with all digits the same

Answer: A. A number that is the product of two equal integers
A perfect square is obtained by multiplying an integer by itself, such as 4 = 2×2, 9 = 3×3.

Which of the following is a perfect square?

A. 35
B. 49 ✓
C. 50
D. 48

Answer: B. 49
49 = 7 × 7, making it a perfect square. The others are not products of equal integers.

Find √225.

A. 13
B. 14
C. 15 ✓
D. 16

Answer: C. 15
√225 = 15 because 15 × 15 = 225.

If a number's prime factorisation is 2² × 5², what is its square root?

A. 10 ✓
B. 20
C. 100
D. 5

Answer: A. 10
2² × 5² = (2 × 5)² = 10². Therefore, √(2² × 5²) = 2 × 5 = 10.

If √(x + 5) = 7, then x = ____.

A. 44 ✓
B. 49
C. 54
D. 64

Answer: A. 44
√(x + 5) = 7 means x + 5 = 49, so x = 44. Squaring both sides gives us the value of x.

Choose Your Plan & Start Practising

All plans cover every subject and chapter of your registered grade.

Free

₹0

3 exams · 1 year

Start Free →

Active

₹350

12 exams · 1 year

Get Active →

Pro

₹899

Unlimited exams · 1 year

Get Pro →

Compare all plans in detail →