Page 102 - Ganit Kaushal

Activities

Activity 1

Complete the supercell table using distinct numbers formed with the digits 1, 2,
3, and 4 without repetition so that the coloured cells are supercells. 3142 1423

Compare your table with your classmates. 2143 3124
Compare with the biggest number and the smallest number created by your
classmates.

Activity 2

Check how many steps your year of birth takes to reach the Kaprekar number.

Also, apply the reversing and adding procedure to your year of birth. Does it result in a palindrome? If yes,
what is that number?

Activity 3

Check whether the Collatz conjecture holds for the starting number 100. If it holds, write the Collatz sequence.

Activity 4

Play a game called ‘99’. There are two players in this game, and the rules of the game are:

1. The first player says a number between 1 and 10.
2. Then, the two players take turns adding a number between 1 and 10 to the previous number.

3. The player who reaches 99 first is the winner.
Play this game several times with your friends and answer the following questions:

What is your winning strategy?
What is the pattern of numbers that the winning number should follow?

Activity 5

Make an estimation of the number of hours you have spent in your school till now. Write down the method
and logic of your estimation. Compare your estimation with your classmates.

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