Year 5 Being resourceful

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

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Try out these calculations. Are you surprised by the results?

We start with one yellow cube and build around it to make a 3×3×3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

How much can you read into a T-shirt?