Being curious

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Use your knowledge of place value to try to win this game. How will you maximise your score?

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?