Being resilient

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

Find as many different ways of representing this number of dots as you can.

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

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

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

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.?

On the planet Vuv there are two sorts of creatures. The Zias have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zias and how many Zepts were there?

Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?