Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!

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Each letter stands for a different digit.

So if A = 7 and B = 3, AB would mean 73 and A^{B} = 7 cubed.

If A^{Y} = IS, A^{D} = SA and (IS)^{Y} = YES, find the values for A, E, I, S, Y.

What is (YES)^{Y} ?

Hint: for the garden!

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8 can be written as the sum of two prime numbers.

8 = 3 + 5.

How many whole numbers less than 20 cannot be written as the sum of two prime numbers?

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47.5 + 3862.7 + 125.6 + 1583.1 = 45085.7

I got this wrong! When I did the calculation I forgot all about decimal places.

In fact the decimal point is only correct in one of the numbers.

Which one?

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Jolly good show. This is a capital question, what!

5 and 9 are the first two numbers like this. Find me another FOUR.

There are another fourteen.

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In the hexagon, find the largest right-angled triangle and the smallest right-angled triangle.

What is the ratio of the area of the largest right-angled triangle to the area of the smallest right-angled triangle

in the hexagon?

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Place each of the prime numbers between 2 and 13 so that each number is surrounded by its factors.

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What is the smallest number of transparent square sheets of paper that can be placed over one another to form the pattern shown?

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If Benny is three times as old as Barney will be when Bernie is as old as Benny is now, who is the second oldest?

How old could Bernie, Barney and Benny be?

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A2473B is a six-digit number in which A and B are single digits.

The number is divisible by 72, each of the six digits is

different and there are no zeroes.

What are the value of A and B?

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