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Learning by Doing

Objective: To tell the numbers for a specific digits’ sum, difference or product.
Materials required: Number cards 1-10, paper and pen, an empty box.

Procedure:
• Put the number cards in an empty box.
• Divide the class into two teams, say A and B. Decide which team will start the game.

• One player from a team will come forward, shake the box and pick up a card randomly.
Then looking at the card, he/she will read the number aloud. Suppose the number is 8.

• The other team will put the challenge to consider this number as the digits’ sum,
difference or product and tell any number. For example,
 If the digits’ sum is 8, the numbers may be 26, 134, 10007, etc.

 If the digits’ difference is 8, the numbers may be 19, 80 and 91.
 If the digits’ product is 8, the numbers may be 18, 24, 42, 81, 124, 214, 1118, etc.
• Now, the player from the first team who has picked up the card will speak the number
within 10 seconds. If it is correct, he/she will score a point for his/her team.
• Then, the other team will take their turn and do the same process. The game will continue
till all players take a turn at least once or as time permits.

• The team scoring the maximum points will be the winner!
Note: The opposition team may sometimes enforce that the number must have a certain
number of digits.

Brain Sizzlers

Look at the diagram given below and answer the following questions.
15 23 35 53 21
39 59 89 67 101 1
45 17 13 5
33 25 19 29
11 3
43 65 49 37 7

9

1. What do you think about the numbers written above?
2. In how many actual steps will you reach 1 if you start from the number 3?
3. In how many actual steps will Nikhil reach 1 if he starts from the number 18?
4. Sunita starts with an odd number between 10 and 20 while Lalita starts with an odd number between 20 and
30. Who will reach to 1 in less number of steps?

Mathematics-6 102