Being collaborative

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

Can you work out which drink has the stronger flavour?

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

Invent a scoring system for a 'guess the weight' competition.

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Some people offer advice on how to win at games of chance, or how to influence probability in your favour. Can you decide whether advice is good or not?

Engage in a little mathematical detective work to see if you can spot the fakes.

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

These eleven shapes each stand for a different number. Can you use the multiplication sums to work out what they are?