1. What is the value of ?
- A7
- B8
- C9
- D18
Show answer
Answer: C) 9
9 x 9 = 81, so = 9.
Class 8 Finding Square Roots — practice questions with answers
Squares and Roots · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. equals:
- A0.05
- B0.5
- C0.25
- D0.125
Show answer
Answer: B) 0.5
0.5 x 0.5 = 0.25, so = 0.5.
3. What is ?
- A1.6
- B1.8
- C1.9
- D2.4
Show answer
Answer: B) 1.8
1.8 x 1.8 = 3.24, so = 1.8.
4. The area of a square plot in Nagpur is 2 hectares and is divided into two
equal square fields. Taking 1 hectare = 10000 square metres,
find the side of EACH of the two smaller square fields.
equal square fields. Taking 1 hectare = 10000 square metres,
find the side of EACH of the two smaller square fields.
- A50 m
- B100 m
- C150 m
- D200 m
Show answer
Answer: B) 100 m
Total area = 2 ha = 20000 m². Each small square has area 10000 m², so its side = = 100 m.
5. A school wants the smallest number of students (more than 100) that can be
arranged BOTH in rows of 24 and in a perfect square formation
(rows = columns). Find that smallest number of students and the side of
its square formation.
arranged BOTH in rows of 24 and in a perfect square formation
(rows = columns). Find that smallest number of students and the side of
its square formation.
- A144 students, side 12
- B576 students, side 24
- C256 students, side 16
- D324 students, side 18
Show answer
Answer: A) 144 students, side 12
The number must be a multiple of 24, a perfect square and more than 100. 24 = 2³ x 3, so a perfect-square multiple needs an even power of every prime: 2⁴ x 3² = 144 = 12², and 144 = 24 x 6 is indeed a multiple of 24. 144 > 100, so it is the smallest such number, with side = 12.
Practise all 50 questions free →
10 free questions a day without an account — unlimited with a free account.