Being curious

Can all unit fractions be written as the sum of two unit fractions?

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

How much of the square is coloured blue? How will the pattern continue?

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

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

Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

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

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