10ticks Friday Puzzle

This week's Friday Puzzle

A square is split into nine identical squares. Each sides has a  length of one unit.

Circles are inscribed in two of these squares, as shown.

What is the shortest distance between the two circles?

Friday Puzzle (05/10/2018)

I have a lock with a three-digit code.

I know all the digits of the code are different and that if I divide the second digit by the third and then square my answer, I will get the first digit.

There are different possible codes.

What is the difference between the largest and smallest possible codes?

Friday Puzzle (28/09/2018)

The diagram shows a sequences of shapes made up of black and white tiles.

Each shape increases by two rows and two columns.

How many black tiles are required for the 10^th shape in the sequence?

Friday Puzzle (21/09/2018)

I am thinking of an integer (whole number) that has exactly 8 factors including 6 and 15.

What is my integer?

Friday Puzzle (14/09/2018)

Draw a straight line/s so the shape is split into two congruent halves.

This is a fishy problem.

Friday Puzzle (07/09/2018)

Alex catches between 60 and 90 fish.

She counts them in fours and has 3 fish left over.

She counts them in fives and has 1 fish left over.

How many fish does she catch?

Friday Puzzle (17/08/2018)

With one straight cut you can slice a pie into two pieces.

A second cut will produce four pieces of pie and a third cut can produce up to seven pieces of pie.

What is the largest number of pieces of pie that you can get with six straight cuts?

Friday Puzzle (10/08/2018)

A spider is at the vertex X on a cube of side length 12 cm. It strolls along the marked path to vertex Y.

How far has the spider strolled?

Friday Puzzle (03/08/2018)

A goldfish costs £1.40 and a swordtail fish costs £1.80.

Chris spent exactly £20 for some of these fish.

How many of each did he buy?

Friday Puzzle (27/07/2018)

At which whole hour times are the angles between the minute hand and the hour hand 120 degrees?