10ticks Friday Puzzle

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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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This week's Friday Puzzle

A rectangle is inscribed into the quadrant of a circle as shown.

Given the unit distances shown, find the length of AC.

quadrant

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Friday Puzzle (17/03/2017)

The lowest common factor of 1147 and 1517 is 1.
What is the next lowest common factor?

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Friday Puzzle (10/03/2017)

A group of friends went out for a meal. The bill came to £200 but two of the friends had left when it was time to pay. This meant the others had to pay £5 extra to cover their meals.

How many friends originally went out for the meal?

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Friday Puzzle (03/03/2017)

What should every Roman child be?

Take one hundred and one and to it affix half of a dozen.
Append half a century to this to see what every good child should be.

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Friday Puzzle (24/02/2017)

Start with the number 15.
Add the numbers 1 to 5. 1 + 2 + 3 + 4 + 5 = 15.

There is one other two-digit number with this property. Find it.

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Friday Puzzle (17/02/2017)

A baker needs to bake three cakes, but he can only fit two cakes in the oven at a time. The cakes need to be baked for two minutes
on each side.
What is the minimum time the baker needs to bake all three cakes?

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Friday Puzzle (10/02/2017)

Here is the front panel of a safe.

To get into the safe every button has to be pressed ending with
the F button.

The number of moves and the direction are given on every button.
3L means 3 left, 2U means 2 up.

Which button is the first button you must press?
(Use the grid reference).

safegrid

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Friday Puzzle (03/02/2017)

halves

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Friday Puzzle (27/01/2017)

What is the largest number of non-overlapping triangles that can be produced by drawing 7 straight lines?

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Friday Puzzle (20/01/2017)

The mean of six different positive odd integers is 150.

What is the largest possible value of any of the integers?

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