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 11

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Week 3

15. A line of lamp posts

Four lamp posts are in a straight line. The distance from each post to the next is 25 metres.

What is the distance from the first post to the last?

[SOLUTION]

16. Sums of digits

For how many three-digit numbers does the sum of the digits equal 25?

[SOLUTION]

17. A million seconds

How many days, to the nearest day, are there in a million seconds?

[SOLUTION]

18. Sum to 100

The sum of 10 distinct positive integers is 100. What is the largest possible value of any of the 10 integers?

[SOLUTION]

19. x marks the spot

The numbers 2, 3, 4, 5, 6, 7, 8 are to be placed, one per square, in the diagram shown such that the four numbers in the horizontal row add up to 21 and the four numbers in the vertical column also add up to 21.


Which number should replace x?

[SOLUTION]

20. The last Wednesday

One of the months in a particular year has five Wednesdays, and the third Saturday is the 19th.

Which day of the month is the last Wednesday?

[SOLUTION]

21. Her brother’s age

A woman says to her brother, ‘I am four times as old as you were when I was the same age as you are now.’

The woman is 40 years old.

How old is her brother now?

[SOLUTION]

The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind

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