Request a call back

Join NOW to get access to exclusive study material for best results

Cubes and Cube Roots Worksheet

Multiple Choice Questions

  1. Find the perfect cube number of the smallest odd number
    (a)1
    (b)8
    (c)27
    (d)54|

  2. Which of the following can’t be the cube of a number given by 2n, where ‘n’ is a natural number
    (a)1728
    (b)2744
    (c)4096
    (d)4913

  3. 17576 is the cube of
    (a)24
    (b)25
    (c)26
    (d)27

  4. 729 can be represented as the sum of  _______ consecutive odd numbers
    (a)6
    (b)7
    (c)8
    (d)9

  5. Which of the following options is not a perfect cube
    (a)4×6×9
    (b)25×16×20
    (c)27×4×8
    (d)7×14×28

  6. Which of the following options is the cube root of number 195112
    (a)52
    (b)54
    (c)56
    (d)58

  7. The smallest number to be added or subtracted to convert 279 to perfect cube is
    (a)61
    (b)62
    (c)63
    (d)64

  8. Which of the following statement is false
    (a)Cube root of two digit number is a one digit number
    (b)Cube root of three digit number is a two digit number
    (c)Cube of a one digit number can be a one digit number
    (d)Cube of a two digit number can be a six digit number

  9. Which of the following option can be the cube root of (2n+1)3, where ‘n’ is a natural number
    (a)12
    (b)13
    (c)14
    (d)16

  10. The smallest number to be multiplied or divided to convert 6750 to perfect cube is
    (a)5
    (b)4
    (c)2
    (d)3


    Subjective Questions

  11. Cube of a number ends with the same digit as the number itself. So the number will have which digit in its unit’s place 

  12. Ram wanted to buy a new smartphone which costs 193 rupees. If he had 203 rupees with him, then find the amount left with him after the purchase of the smartphone.

  13. Ravi and Rani are solving homework given by their teacher, wherein they were asked to find out three, four-digit cube numbers. Now Ravi writes down the following numbers, 4096, 5834 and 9261. Now Rani realizes that Ravi’s one number is wrong. So identify the number and suggest how you can convert it into a perfect cube.

  14. Arjun is fascinated by the way a cube number can be represented using the sum of odd consecutive numbers as shown
    13 = 1
    23 = 3 + 5
    33 = 7 + 9 + 11
    43 = 13+15+17+19
    53 = 21 + 23 + 25 + 27 + 29
    Now he decides to represent 343 as the sum of odd consecutive number. Help him to find the solution

  15. Ganesh and Niraj were arguing on whether 1512 is a perfect cube number or not. Ganesh says that 1512 is a perfect cube and Niraj says that it is not. Decide who is correct in their observation.

  16. Now Raj and Raju were finding the cube root of 9261. Raj came up with the answer 21, now Raju is not convinced that the answer is correct. Help out Raj in convincing convince Raju.

  17. “If two perfect cubes are multiplied together, then the resulting product is also an perfect cube”. Explain this statement with an example

  18. Without using prime factorization, prove that 4913 is not the cube of 18. 

  19. Prove that 270000 is not a perfect cube without using prime factorization.

  20. Niraj likes to play video games and give below are the points earned or lost by him on a given day

    Find the difference between points earned by him on consecutive days the letters to form meaningful words based on the clues provided.

 

 

 

Key Features of Study Materials for CBSE Class 8 Mathematics:

  • Easy and comprehensive set of study materials
  • Created by subject matter experts
  • Amended as per the latest CBSE syllabus
  • Helpful when doing homework
  • Easy to understand
  • Helpful for quick revision
  • Score more marks in the examination
  • Free textbook solutions & doubt-solving sessions
  • Increase paper-solving speed
  • Improvement in marks


Over 2.5 million students trust TopperLearning for study materials. This is because students who have used our study resources have been able to achieve good scores in the examination. Our study materials are also used by premier educational institutes in India. Visit our website regularly to stay updated with important announcements made by CBSE.

Get Latest Study Material for Academic year 24-25 Click here
×