Working systematically

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

Can you find a way to identify times tables after they have been shifted up or down?

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

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

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?

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

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

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

Can you find rectangles where the value of the area is the same as the value of the perimeter?