Читать книгу The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind - Литагент HarperCollins USD, F. M. L. Thompson - Страница 43

Crossnumber 6

ACROSS

1. A prime factor of 8765 (4)

4. The interior angle, in degrees, of a regular polygon; its digits have a product of 12 (3)

6. A Fibonacci number whose digits add up to twenty-four (3)

7. A prime that is one greater than a square (2)

8. Ninety-nine greater than the number formed by reversing the order of its digits (3)

10. A multiple of 25 ACROSS (3)

12. 9 DOWN multiplied by seven (3)

15. A number with seven factors (2)

17. The third side of a right-angled triangle with hypotenuse 9 DOWN and other side 25 ACROSS (2)

19. (10 ACROSS) per cent of 8 ACROSS (3)

21. An odd multiple of nine (3)

23. The product of the seventh prime and the eleventh prime (3)

25. An even number (2)

26. The lowest common multiple of 25 ACROSS and 11 DOWN (3)

28. A multiple of eleven, and also the mean of 12 ACROSS, 16 DOWN, 19 ACROSS, 24 DOWN and 27 DOWN (3)

29. A power of nineteen (4)

DOWN

2. An even square (3)

3. One third of 21 ACROSS (2)

4. The interior angle, in degrees, of the regular polygon that has twice as many sides as the regular polygon whose interior angle, in degrees, is 4 ACROSS (3)

5. One less than a multiple of eleven (3)

8. A power of nine (4)

9. The mean of 3 DOWN, 7 ACROSS, 13 DOWN, 17 ACROSS and 27 DOWN (2)

11. Ninety-one less than 10 ACROSS (2)

13. The sum of the squares of the digits of 23 ACROSS (2)

14. A factor of 4567 (4)

16. The difference between 11 DOWN and 3 DOWN (2)

18. The square root of 8 DOWN (2)

20. The highest common factor of 10 ACROSS and 24 DOWN (2)

21. The total number of days in a year in the months whose names do not contain the letter A (3)

22. A prime that is ten less than a cube (3)

24. A square multiplied by five; the product of its digits is 40 (3)

27. A triangular number that is the sum of two prime numbers that differ by eight (2)

[SOLUTION]