Being curious

Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.

What do you think is going to happen in this video clip? Are you surprised?

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

Can you work out which three numbers were pinned onto these children's backs?

These clocks have only one hand, but can you work out what time they are showing from the information?

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.