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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A rectangle is inscribed into the quadrant of a circle as shown.
Given the unit distances shown, find the length of AC.
The lowest common factor of 1147 and 1517 is 1.
What is the next lowest common factor?
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?
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.
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.
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?
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).
What is the largest number of non-overlapping triangles that can be produced by drawing 7 straight lines?
The mean of six different positive odd integers is 150.
What is the largest possible value of any of the integers?