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By Claire Garland

ISBN-10: 1845332644

ISBN-13: 9781845332648

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Sample text

EQUAL FRACTIONS Can you construct three ordinary vulgar fractions (say, '12, Ih, or 114, or anything up to ¥l inclusive) all of the same value, using in every group all the 40 Arithmetic & Algebraic Problems nine digits once, and once only? The fractions may be formed in one of the following ways: We have only found five cases, but the fifth contains a simple little trick that may escape the reader. 134. DIGITS AND PRIMES Using the nine digits once, and once only, can you find prime numbers (numbers that cannot be divided, without remainder, by any number except 1 and itself) that will add up to the smallest total possible?

For example, 45 = 5 X 9 would be correct if only the 9 had happened to be a 4. Or SI = (I + S)2 would do, except for the fact that it introduces a third figure-the 2. 111. DIGITAL COINCIDENCES If! multiply, and also add, 9 and 9, I get SI and IS, which contain the same figures. If I multiply and add 2 and 47, I get 94 and 49-the same figures. If I multiply and add 3 and 24, I get the same figures-72 and 27. Can you find two numbers that when multiplied and added will, in this simple manner, produce the same three figures?

Atkins had a motorcycle with a sidecar for one passenger. How was he to take one of his companions a certain distance, drop him on the road to walk the remainder of the way, and return to pick up the second friend, who, starting at the same time, was already walking on the road, so that they should all arrive at their destination at exactly the same time? The motorcycle could do twenty miles an hour, Baldwin could walk five miles an hour, and Clarke could walk four miles an hour. Of course, each went at his proper speed throughout and there was no waiting.

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Dream Toys: More Than 20 Projects to Knit and Crochet by Claire Garland

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