Being resilient

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

What do you notice about these squares of numbers? What is the same? What is different?

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

Find the sum of this series of surds.

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

How many solutions can you find to this sum? Each of the different letters stands for a different number.

There are six numbers written in five different scripts. Can you sort out which is which?