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Книга довольно хорошо написана в виде рассказов старого человека молодому парню, основанных на событиях его реальной жизни, охватывающей период с нача...
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The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind
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[SOLUTION] (#litres_trial_promo)
24. A tennis club
Three-quarters of the junior members of a tennis club are boys and the rest are girls. What is the ratio of boys to girls among these members?
[SOLUTION] (#litres_trial_promo)
25. Rectangles in a square
Five equal rectangles are placed inside a square with side length 24 cm, as shown in the diagram.
What is the area in cm
of one rectangle?
[SOLUTION] (#litres_trial_promo)
26. The absent present
Four children bought a birthday present for their father. One of the children hid the present. When their mother asked them who had hidden the present, the four children made the following statements:
Alfred: ‘It was not me!’
Benjamin: ‘It was not me!’
Christian: ‘It was Daniel!’
Daniel: ‘It was Benjamin!’
It turned out that exactly one of them did not tell the truth.
Who hid the present?
[SOLUTION] (#litres_trial_promo)
27. Professor Brainstorm’s clock
Professor Brainstorm’s clock gains 16 minutes every day.
After she has set it to the correct time, how many days pass before it next tells the correct time?
[SOLUTION] (#litres_trial_promo)
28. What is n?
You are given that n is a positive integer with the property that when we add n and the sum of its digits, we obtain the number 313.
What are the possible values of n?
[SOLUTION] (#litres_trial_promo)
Crossnumber 1 (#ulink_e70c22be-7532-522f-b98f-ccea74072d81)
A crossnumber works just like a crossword except that, instead of filling each square with one of the letters from A to Z, you have to fill each square with a single digit from 0 to 9.
ACROSS
1. The square of an odd number (2)
3. 18 DOWN divided by six (3)
6. A number divisible by three (3)
7. A factor of 14 ACROSS (3)
9. An odd number that is one more than a cube (2)
10. One more than a number divisible by nine (2)
12. A number divisible by both six and a square greater than one (3)
14. A multiple of 7 ACROSS (3)
16. The sum of twice 1 ACROSS and 14 (2)
18. Seven less than a square (2)
19. One more than three times 6 ACROSS (3)
21. A Fibonacci number divisible by seven (3)
22. A palindrome that is twice a prime (3)
23. (9 ACROSS × 4) − 13 DOWN (2)
DOWN
2. A palindrome (3)
3. (3 × 9 ACROSS) − (1 ACROSS + 23 ACROSS) (3)
4. The product of two primes (2)
5. One less than a perfect number (2)
8. A cube that is also a power of two (3)
9. A factor of 6111 (3)
Другие электронные книги автора Литагент HarperCollins
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Книга довольно хорошо написана в виде рассказов старого человека молодому парню, основанных на событиях его реальной жизни, охватывающей период с нача...
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