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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I have five whole numbers.
The mean of the numbers is 4, the median 3,
the mode is 1 and the range is 9.
What are my five numbers?
After a huge party there are 150 dishes to be washed by hand.
Chris says he can do it in 50 minutes.
Danny says he is slower and would take 1¼ hours.
As there are two sinks they decide to do it together.
How long will it take them and how many dishes each would they wash?
My combination lock has 4 dials, each dial has the numbers 1, 2, 3 and 4 on it.
To open the lock, no number can be repeated in the 4 digit code.
How many different combinations are there to open the lock?
If all the different combinations were added up, what would be the total?
A cyclist cycles up a hill and then down again.
The route is exactly 1 km to the top of the hill.
He wants to cycle at an average speed of 15 km/h.
If he can cycle up the hill at an average speed of 10 km/h at what speed must he come down the hill?
I have started playing ten pin bowling.
In my last game I bowled 199 and this raised my average (mean) from 177 to 178.
I want to raise my average to 179.
What must I bowl in my next game?
I have a four digit number with no zeros.
The second digit is four more than the first and three times the third digit.
The third digit is two more than the last and two less than the first digit.
The first digit is five times the last digit.
What number do I have?
Tessa the teacher has three cards with different numbers on them.
She says, ‘The numbers on the three cards add to a square number’.
She peeks at two of the three cards and says, ‘these two numbers add to a square number’.
She peeks at two different cards of the three and says, ‘these two numbers also add to a square number’.
She peeks at two different cards of the three and says, ‘These two numbers don''t add to a square! It''s either 5 too little or 6 too big!"
What are the three numbers on the cards?
Move two matchsticks to make six squares.
Continue the pattern.
What number will lie directly below 400?
The three circles have the same centre.
They have radii 3 cm, 4 cm and 5 cm.
What percentage of the largest circle is shaded?