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 Cubes and Cube 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 cube of 11?
(A) 363
(B) 1342
(C) 1728
(D) 1331
Q2. Find the cube root of 729.
(A) 9
(B) 10
(C) 81
(D) 12
Q3. What is the cube root of −27?
(A) 3
(B) −3
(C) −4
(D) not defined
Q4. By what smallest number should 135 be divided to get a perfect cube?
(A) 10
(B) 5
(C) 6
(D) 25
Q5. What is the cube of 15?
(A) 675
(B) 3390
(C) 3375
(D) 4096
Q6. Find the cube root of 8.
(A) 3
(B) 4
(C) 2
(D) 5
Q7. Find the cube root of 512.
(A) 9
(B) 64
(C) 11
(D) 8
Q8. What is the cube of 13?
(A) 507
(B) 2210
(C) 2197
(D) 2744
Q9. Find the cube root of 343.
(A) 7
(B) 8
(C) 49
(D) 10
Q10. What is the cube of 4?
(A) 64
(B) 48
(C) 68
(D) 125
Answer Key with Explanations
(D) 1331 — 11³ = 11×11×11 = 1331.
(A) 9 — 9³ = 729.
(B) −3 — (−3)³ = −27; negative numbers have negative cube roots.
(B) 5 — 135 ÷ 5 = 27 = 3³.
(C) 3375 — 15³ = 15×15×15 = 3375.
(C) 2 — 2³ = 8.
(D) 8 — 8³ = 512.
(C) 2197 — 13³ = 13×13×13 = 2197.
(A) 7 — 7³ = 343.
(A) 64 — 4³ = 4×4×4 = 64.
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.
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