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By Hans Rademacher, Otto Toeplitz

What is so exact concerning the quantity 30? what percentage colours are had to colour a map? Do the major numbers pass on without end? Are there extra entire numbers than even numbers? those and different mathematical puzzles are explored during this pleasant publication by way of eminent mathematicians. Requiring not more historical past than airplane geometry and ordinary algebra, this ebook leads the reader into essentially the most basic principles of arithmetic, the tips that make the topic intriguing and engaging. Explaining sincerely how each one challenge has arisen and, now and again, resolved, Hans Rademacher and Otto Toeplitz's deep interest for the topic and their extraordinary pedagogical skills shine through.

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VIPOURLEPTLE BSIUZTZLTEER SWINUTMERMER 7. 3F Y33 C3N F3G3R3 T H 3 S 33T, Y33 C3N 3GN3R3 V3W3LS! 32 8. Word Ladder: Can you change HATE to LOVE, one letter at a time, in four steps? You must have a word at each step. H A T E L O V E 9. Give the fifth and sixth in this familiar sequence: ST ND RD TH 10. Fill in a letter to complete a six-letter word reading either clockwise or counterclockwise. What- is the word? 11. Think of a word for the first blank, and change one letter to form the word for the second blank.

If Bob marries his father's sister's husband's sister, then Bob's wife works. If Bob's daughter marries Bob's father's sister's husband's sister, then Bob's daughter works. 43 12. C B A 2 6 E D 4 5 F 3 1 If A + C + E = 14, then A, C, E must be 6, 5, 3 in some order. If B = 1 then (1 x 1) + 1 = 2, and A cannot be 2. So B = 2 and A = (2 x 2) + 2 = 6. The numbers C, D, E, F are 5, 4, 3, 1. 13. DCAB Each word pictured drops its labeled letter to make a new word: ch(a)in, lim(b)o, dun(c)e, bri(d)e 1 4 .

Lockers in a high school hallway are numbered consecutively from 678 to 789. How may lockers are in the hallway? 1 3 . W A B B Y T HAT W B O O T W H CRYPTO: C. Z B R ' H H C L T ET X. G'E SOBXCZDI RBH GH W. YTDTWH Z GRYHTCZ Z. PGRRTO'Y SGWL 14. W h a t four-letter word completes this analogy? P E R F O R M i s t o P R O M a s C O L L U D E is to 15. W h a t letter/number combination goes in the blank? A4 B6 C2 D9 E8 55 17 M5 R3 Answers for Test 8 1 . This answer grid can also be flipped along the main diagonal so that G A R G L E is the first word across.

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