Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Squares and Square Roots, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. What is the square of 13?
(A) 169
(B) 182
(C) 144
(D) 159
Q2. Find the square root of 441.
(A) 23
(B) 21
(C) 20
(D) 220
Q3. What is √0.25?
(A) 5
(B) 0.05
(C) 0.12
(D) 0.5
Q4. Which of these is a perfect square?
(A) 288
(B) 675
(C) 256
(D) 170
Q5. By what least number should 150 be multiplied to make it a perfect square?
(A) 8
(B) 6
(C) 3
(D) 5
Q6. What is the square of 25?
(A) 625
(B) 650
(C) 576
(D) 615
Q7. Find the square root of 576.
(A) 26
(B) 24
(C) 23
(D) 288
Q8. What is √1.44?
(A) 12
(B) 0.12
(C) 1.2
(D) 0.72
Q9. By what least number should 98 be multiplied to make it a perfect square?
(A) 1
(B) 4
(C) 5
(D) 2
Q10. What is the square of 65?
(A) 4225
(B) 4290
(C) 4096
(D) 4215
Answer Key with Explanations
(A) 169 — 13 × 13 = 169.
(B) 21 — 21 × 21 = 441, so √441 = 21.
(D) 0.5 — 0.5 × 0.5 = 0.25.
(C) 256 — 256 = 16².
(B) 6 — 150 = 2 × 3 × 5 × 5; the unpaired factors 2 and 3 multiply to 6, and 150 × 6 = 900 = 30².
(A) 625 — 25 × 25 = 625.
(B) 24 — 24 × 24 = 576, so √576 = 24.
(C) 1.2 — 1.2 × 1.2 = 1.44.
(D) 2 — 98 = 2 × 7 × 7; the unpaired factor is 2, and 98 × 2 = 196 = 14².
(A) 4225 — 65 × 65 = 4225.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
Free AISSEE / RMS Mock Test
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