MATHS 1 Marks Question

Why is the Collatz conjecture correct for all the starting numbers in the sequence of powers of 2?

Check if the Collatz conjecture holds for the starting number 100.

Construct Collatz sequence starting with your favourate whole number. Do you always reach 1.

Will reversing and adding numbers repeatedly, starting with a 3-digit number, always give a palindrome?

Will reversing and adding numbers repeatedly, starting with a 2 -digit number, always give a palindrome?.

Fill in the following table with only 3-digit numbers such that the supercells are exactly the coloured cells:

What is the smallest 5 -digit number with non-zero digits whose digit sum is 14 ?

Write all two digit numbers whose digits add up to 12. Also, write the smallest and largest of these numbers.