Math Games

SQUARES & DOTS- Games 

                                                                 Akshay Hari -XII C

1)   Growing rectangles

 

This rectangle has height 2 and width 3.

Work out the perimeter, the number of dots, and the number of lines needed to draw a rectangle with:

• ·         height 2 and width 25
• ·         height 2 and width 100
• ·         height 2 and width n

2)   L shapes

                 

This L shape has height 4 and width 4.

Work out the perimeter, the number of squares, and the number of lines needed to draw an L shape with:

• ·         height 25 and width 25
• ·         height 100 and width 100
• ·         height n and width n

3) Two squares

This pattern with two squares has four black dots.

 

Work out the number of white dots and the number of lines needed to draw a pattern with:

• ·         25 black dots
• ·         100 black dots
• ·         n black dots

4) Square of Squares

  

This pattern has side length 5.

Work out the number of edge squares and the number of lines needed to draw the pattern with:

• ·         side length 25
• ·         side length 100
• ·         side length n

5) Dots and More Dots

 

This pattern has side length 3.

 

Work out the number of dots and the number of lines needed to draw the pattern with:

• ·         side length 25
• ·         side length 100
• ·         side length n

6) Rectangle of Dots

  

This pattern is made from two joined squares with side length 3.

Work out the number of lines and the number of dots needed to draw the pattern of joined squares with:

• ·         side length 25
• ·         side length 100
• ·         side length n 

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Magic Letters 

Use the digits 1,2,3,4,5 that each arm of V has same sum.

Magic V with five consecutive numbers:

It is a Magic V because each 'arm' has the same total.

The other Magic Vs

Many children at a time can play. The one who prepares the magic V wins.


                                                          *****

NUMBER GAME !!!

                                     By MOHITH K JOHN
                                                                       X-B 

Ask your friend to think of a number .Any number.Now ask him or her to follow the given steps- 1.Add 2 to it. 2.Multiply the resulting number by 2. 3.Add 5 to the the resulting number and multiply the resulting number by 5.Ask the person for his final answer. Now you can easily guess the number in your friend's mind by following these steps- Subtract 45 from the final answer given by your friend. Drop the 0 from the balance to get the number that your friend had originally thought of.This trick will work for any number, any number!!!
EXAMPLE:

Suppose that your friend's number is 8.

                                           
                                           8+2=10
                                          10*2=20
                                          20+5=25
                                          25*5=125
                                         125-45=80
                             Dropping the 0 we get 8.           
                                                                 
                                                                        

                                                                                 

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