Number Play Class 6 Short Question Answer

Number Play Class 6 Short Question Answer

Number Play Class 6 Short Question Answer

Question 1.

Calculate the digit sums of 3-digit numbers whose digits are of the form 135, 246, 357, etc. (next digit is 2 more than the previous digit and first digit of the number is 1 more than the first digit of the previous number). Do you observe any pattern?

Solution:

Numbers are 135, 246, 357, 468 and 579. Their digit sums are respectively 9, 12, 15, 18 and 21. Yes; sum is increasing by 3 each time.

Question 2.

Take a three digit number say 465. Form largest number A with these 3-digits and the smallest number B with these 3- digits. Find C = A — B. Repeat the process of finding largest number A, smallest number B with the digits of above number C and then find the new C = A — B again. Finally, what number starts repeating?

Solution:

A = 654, B = 456. So, C 654 - 456 = 198,

New, A = 981, B = 189. So, C = 981 - 189 = 792.

New, A = 972, B = 279. So, C = 972 - 279 = 693.

New, A = 963, B = 369. So, C = 963 - 369 = 594.

New, A = 954, B = 459. So, C = 954 - 459 = 495.

Thus, number 495 shall starts repeating.

Question 3.

I am a 5-digit palindrome. Also, I am an odd number and my tens digit is double of the unit digit. If my hundred digit is '0', then what can I be?

Solution:

In this condition, unit digit can be either 1 or 3. If unit digit is 1, then the required palindrome will be 12021. If the unit digit is 3, then the required palindrome will be 36063.

Question 4.

Find the sum of the largest and smallest 5-digit palindromes made up 2- digits.

Solution:

Largest palindrome = 99899 and

Smallest palindrome = 10001

Their sum = 109900

Question 5.

Shade the supercells in the following table of number cells:

Solution:

In the table, shade 4361, 5258, 4875, 5529, 4948 and 5282.