Year 6 Being curious

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

You'll need to know your number properties to win a game of Statement Snap...

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

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.

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

There are lots of different methods to find out what the shapes are worth - how many can you find?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Take three consecutive numbers and add them together. What do you notice?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

What can you see? What do you notice? What questions can you ask?