Fun with Figures

The following tutorials are based on examples and exercises given in the book 'Fun with figures' by Kenneth Williams, which is a fun introduction to some of the applications of the sutras for children.

Click here to visit the bookstore, for more details
of the original book this work is based on

If you are having problems using the tutorials then you could always read the instructions.

Tutorial 1
Tutorial 2
Tutorial 3
Tutorial 4
Tutorial 5
Tutorial 6
Tutorial 7
Tutorial 8
Tutorial 9
Tutorial 10
Tutorial 11
Tutorial 12


Tutorial 1

Use the formula ALL FROM 9 AND THE LAST FROM 10 to perform instant subtractions.

Try some yourself:

1) 1000 - 777

=
2) 1000 - 283 =
3) 1000 - 505 =
4) 10,000 - 2345 =
5) 10000 - 9876 =
6) 10,000 - 1101 =
7) 100 - 57 =
8) 1000 - 57 =
9) 10,000 - 321 =
10) 10,000 - 38 =
Total Correct =

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Tutorial 2

Using VERTICALLY AND CROSSWISE you do not need to the multiplication tables beyond 5 X 5.

Multply These:

1) 8
    8 x

2) 9
    7 x

3) 8
    9 x

4) 7
    7 x

5) 9
    9 x

6) 6
    6 x

Total Correct =

Here's how to use VERTICALLY AND CROSSWISE for multiplying numbers close to 100.

This is so easy it is just mental arithmetic.

Try some:

1) 87
    98 x

2) 88
    97 x

3) 77
    98 x

4) 93
    96 x

5) 94
    92 x

6) 64
    99

7) 98
    97 x

Total Correct =

Multiplying numbers just over 100.

Again, just for mental arithmetic

Try a few:

1) 102 x 107 =

1) 106 x 103 =

1) 104 x 104 =

4) 109 x 108 =

5) 101 x123 =

6) 103 x102 =

Total Correct =

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Tutorial 3

The easy way to add and subtract fractions.

Use VERTICALLY AND CROSSWISE to write the answer straight down!

Try a few:







Total Correct =

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Tutorial 4

A quick way to square numbers that end in 5 using the formula BY ONE MORE THAN THE ONE BEFORE.

Try these:

1) 452 =
2) 652 =
3) 952 =
4) 352 =
5) 152 =
Total Correct =

Method for multiplying numbers where the first figures are the same and the last figures add up to 10.

Practise some:

1) 43 x 47 =
2) 24 x 26 =
3) 62 x 68 =
4) 17 x 13 =
5) 59 x 51 =
6) 77 x 73 =
Total Correct =

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Tutorial 5

An elegant way of multiplying numbers using a simple pattern.

And thats all there is to it.

Try these, just write down the answer:

1) 14
    21 x
 
2) 22
    31 x
 
3) 21
    31 x
 
4) 21
    22 x
 
5) 32
    21 x
 
Total Correct =

Multiply any 2-figure numbers together by mere mental arithmetic!

If you want 21 stamps at 26 pence each you can
easily find the total price in your head.

There were no carries in the method given above.
However, there only involve one small extra step.

The method is the same as above
except that we get a 2-figure number, 14, in the
middle step, so the 1 is carried over to the left
(4 becomes 5).

So 21 stamps cost £5.46.

Practise a few:

1) 21
    47 x
 
2) 23
    43 x
 
3) 32
    53 x
 
4) 42
    32 x
 
5) 71
    72 x
 
Total Correct =
6) 32
    56 x
 
7) 32
    54 x
 
8) 31
    72 x
 
9) 44
    53 x
 
10) 54
      64 x
   
Total Correct =

Any two numbers, no matter how big, can be
multiplied in one line by this method.

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Tutorial 6

Multiplying a number by 11.

Multiply by 11:

1) 43 =
2) 81 =
3) 15 =
4) 44 =
5) 11 =
Total Correct =

Multiply by 11:

1) 88 =
2) 84 =
3) 48 =
4) 73 =
5) 56 =
Total Correct =

Multiply by 11:

1) 151 =
2) 527 =
3) 333 =
4) 714 =
5) 909 =
Total Correct =

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Tutorial 7

Method for diving by 9.

Divide by 9:

1) 61 = remainder
2) 33 = remainder
3) 44 = remainder
4) 53 = remainder
5) 80 = remainder
Total Correct =

Divide by 9:

6) 232 = remainder
7) 151 = remainder
8) 303 = remainder
9) 212 = remainder
10) 2121 = remainder
Total Correct =

Divide these by 9:

1) 771 = remainder
2) 942 = remainder
3) 565 = remainder
4) 555 = remainder
5) 777 = remainder
6) 2382 = remainder
7) 7070 = remainder
Total Correct =

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Tutorial 8

Finding the digit sum of a number.

Any number of any size can always be reduced to a single figure by adding its digits.

Find the digit sum:

1) 34 =
2) 61 =
3) 303 =
4) 3041 =
5) 21212 =
Total Correct =

Find the digit sum:

1) 85 =
2) 38 =
3) 77 =
4) 99 =
5) 616 =
6) 7654 =
Total Correct =

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Tutorial 9

Adding from left to right.

Add from left to right:

1) 44 + 77 =
2) 87 + 86 =
3) 28 + 38 =
4) 65 + 56 =
Total Correct =

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Tutorial 10

Using digit sums to check answers.

Check these using digit sums and find out which are wrong:

1) 56

    88 +
  ___
  144    ?=




2) 83

    38 +
  ___
  121    ?=




3) 77

    69 +
  ___
  156    ?=




4) 545

    273 +
    ___
    818    ?=




5) 357

    753 +
  ____
  1010    ?=





Total Correct =

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Tutorial 11

Multiplying left to right.

1) 56 × 6 =
2) 43 × 4 =
3) 77 × 5 =
4) 88 × 9 =
5) 66 × 7 =
6) 18 × 8 =
Total Correct =

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Tutorial 12

Bigger divisions.

1) 456 ÷ 87 = remainder
2) 468 ÷ 73 = remainder
3) 369 ÷ 84 = remainder
4) 543 ÷ 76 = remainder
5) 357 ÷ 61 = remainder
6) 131 ÷ 43 = remainder
Total Correct =

Similarly squares, squares roots are easily tackled (in one line) by the Vedic method. We can also solve equations and geometrical and trigonometrical problems. The Vedic system covers all areas of mathematics.

It is not possible to show all variations of the methods here: all the techniques shown can be extended in various ways.

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Instructions
for using the tutorials

Each tutorial has test sections comprising of several questions each. Next to each question is a box (field) into which you can enter the answer to the question. Select the first question in each test with the mouse to start a test. Enter the answer for the question using the numeric keys on the keyboard. To move to the answer field of the next question in the test, press the 'TAB' key. Moving to the next question, will cause the answer you entered to be checked, the following will be displayed depending on how you answered the question :-

Correct
Wrong
Answer has more than one part (such as fractions and those answers with remainders). Answering remaining parts of the question, will determine whether you answered the question correctly or not.

Some browsers will update the answer on 'RETURN' being pressed, others do not. Any problems stick to the 'TAB' key. Pressing 'SHIFT TAB' will move the cursor back to the answer field for the previous question.
The button will clear all answers from the test and set the count of correct answers back to zero.

Copyright 2011 Inspiration Books and its licensors. All rights reserved. 2011