# Download Fun with Figures: brilliant mental maths, short cuts will by Kenneth Williams PDF

By Kenneth Williams

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134 ÷ 9 = 14 remainder 8 The answer consists of 1, 4 and 8. 1 is just the first figure of 134, 4 is the total of the first two figures 1 + 3 = 4, and 8 is the total of all three figures 1 + 3 + 4 = 8. Divide by 9: 6) 232 7) 151 8) 303 9) 212 10) 2121 . . otherwise than according to her [mathematics] order nothing can exist, and nothing takes place in contradiction to her laws . . WILLIAM SPOTTISWOODE 43 IMPROVE YOUR MIND On a long car journey why not improve your mind by dividing the car numbers by 9, using this remarkably easy method.

Then we get 14: 7 1 4 = 8 4 . Finally we get 7 which gives 847. Try these: 1) 2) 3) 4) 5) 6) 7) 44 + 77 = 87 + 86 = 28 + 38 = 65 + 56 = 464 + 262 = 773 + 883 = 177 + 277 = 31 CHECK YOUR CHANGE Using BY SUBTRACTION AND BY ADDITION you can easily check your change. Suppose you offer 50p for something costing 18p.  50 - 18 = 32 To take 18 from 50, we note that 18 is close to 20, so we take 20 away from 50 (to get 30) and add 2 back on. 32  Similarly in 73 - 49 we decide to take 50 away from 73 and then add 1 back on.

Try a few yourself: 1) 456 ÷ 87 4) 543 ÷ 76 2) 468 ÷ 73 5) 357 ÷ 61 3) 369 ÷ 84 6) 131 ÷ 43 Similarly squares, square 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 in this book: all the techniques shown can be extended in various ways (see page 52). Number rules the universe. 67 Page 13 1) 64 2) 63 6) 216=36 3) 495 8) 943 3) 72 4) 49 5) 81 Page 15 1) 8526 2) 8536 3) 7546 4) 8928 5) 8648 6) 6336 7) 9506 (we put 06 because, like all the others, we need two figures in each part) Page 17 1) 10914 2) 10918 3) 10816 4) 11772 5) 12423 6) 10506 (we put 06, not 6) Page 19 1) 29 2) 7 30 12 Page 21 1) 2025 2) 4225 3) 20 21 4) 19 30 3) 9025 48 5) 1 20 4) 1225 6) 13 15 5) 225 ANSWERS Page 23 1) 2021 2) 624 6) 5621 3) 4216 4) 221 5) 3009 Page 24 1) 7 2) 7 3) 6 4) 8 5) 8 Page 25 1) 4 2) 2 3) 5 4) 9 5) 4 Page 27 1) 7-branch 2) 4-branch 3) 6-branch 6) 4 4) 1-branch Page 29 3 is wrong as 5 + 6 does not equal 3 in digit sums and 5 is wrong as 6 + 6 does not equal 2.