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Square and Square Roots Worksheet

Subjective Questions

  1. Write 5 numbers whose squares will end with digit 6.

  2. Raju was having fun representing triangular numbers. Now he was able to represent 5 such numbers and then he got stuck. Help Raju to find three more triangular numbers.


  3. Reshma is asked to find non-perfect square numbers between the squares of lowest 2-digit even number and lowest 2-digit odd number. Help Reshma to find the answer.

  4. We know that on combining two consecutive triangular number we form a square number. So, which two triangular numbers are to combine to form a square number of 64.

  5. How many successive odd numbers are to be added to get the square number 441.

  6. Write a Pythagorean triplet in which one member is the largest two-digit number.

  7. Find the square root of 144 by repeated subtraction.

  8. Find the Square of 205

  9. Find the square of 1000001

  10. Ram’s school has conducted a tree plantation drive and they have planted 2401 trees in all. If each student has planted as many trees as the number of students participated, then find the total number of student participated.

    Multiple Choice Questions

  11. Which of the following numbers will end with 9?
    A. 212
    B. 222
    C. 232
    D. 242

  12. Which of the following is not a perfect square?
    A. 2304
    B. 2809
    C. 2972
    D. 3721

  13. The square of 7000 will be
    A. 490000000
    B. 49000000
    C. 4900000
    D. 490000

  14. N2 = sum of _________
    A. N odd numbers
    B. N even numbers
    C. First N odd numbers
    D. First N even numbers

  15. 432 ___ 3 is a perfect square number (insert appropriate arithmetic operation).
    A. +
    B. ×
    C. ÷
    D. -

  16. 17 × 19 = ( ) 2 - 1
    A. 16
    B. 18
    C. 15
    D. 20

  17. Which of the following options is not a perfect square.
    A. 5 × 6 × 6 × 7 × 5 × 7
    B. 9 × 3 × 3 × 2 × 2
    C. 2 × 3 × 6
    D. 16 × 4 × 3

  18. Which of the following options can’t be represented as the sum of consecutive odd numbers starting with 1
    A. 16
    B. 25
    C. 36
    D. 47

  19. 1010101012 = 
    A. 102030201
    B. 1020304030201
    C. 10203040504030201
    D. 102030405060504030201

  20. Which of the following is not a Pythagorean triplet
    A. 11, 60, 61
    B. 7, 24, 25
    C. 20, 21, 29
    D. 12, 34, 37

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