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Test your knowledge with clock puzzles, tennis tournaments, shape calculations, and egg riddles. Do you have what it takes to answer correctly?
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1. Clock Watching What number is this? • It is half of one of the numbers on the clock face. • And two-thirds of another. • And three-quarters of another. A. 4 B. 3 C. 6 D. 12 E. None of the above
1. Clock Watching What number is this? • It is half of one of the numbers on the clock face. • And two-thirds of another. • And three-quarters of another. A. 4 B. 3 C. 66 is half of 12, two-thirds D. 12 of 9 and three-quarters of 8 E. None of the above
2. Tennis In a knockout singles tennis tournament there are 78 entries. How many matches must be played to decide the winner? A. 38 B. 77 C. 78 D. 39 E. None of the above Mathematical Lateral Thinking Puzzles, Sloane and MacHale
2. Tennis In a knockout singles tennis tournament there are 78 entries. How many matches must be played to decide the winner? A. 38 B. 77In each match one player is C. 78 knocked out D. 39 E. None of the above Mathematical Lateral Thinking Puzzles, Sloane and MacHale
3. Shapes in shapes What is the area of the smallest square that can contain a circle of area 1? A. 4/π B. 1 C. D. 1/π
3. Shapes in shapes What is the area of the smallest square that can contain a circle of area 1? A. 4/πStart with B. 1 1 C. D. 1/π What about the smallest circle that can contain a square of area 1? What if we swap the square for a triangle, or a pentagon?
4. Half an Egg Chris came to a market to sell some eggs. Three people bought the eggs. The first buyer took half the eggs plus half an egg. The second buyer took half the remaining eggs plus half an egg. The third buyer bought what was left over: 1 egg. How many eggs were there initially? A. 4 B. 5 C. 6 D. 7 E. None of the above
4. Half an Egg Chris came to a market to sell some eggs. Three people bought the eggs. The first buyer took half the eggs plus half an egg. The second buyer took half the remaining eggs plus half an egg. The third buyer bought what was left over: 1 egg. How many eggs were there initially? A. 4 B. 5 C. 6 D. 7 E. None of the above One way to solve Half an Egg is to use algebra. Let be the total number of eggs.