Year 6 Exploring and noticing

After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

How do you know if your set of dominoes is complete?

What happens when you round these three-digit numbers to the nearest 100?

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

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

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

Can you find pairs of differently sized windows that cost the same?

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

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.

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

The challenge for you is to make a string of six (or more!) graded cubes.

This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.