Caterpillars
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Annie and Ben are playing a game with a calculator. What was Annie's secret number?
Can you sort these triangles into three different families and explain how you did it?
Imagine you were given the chance to win some money... and imagine you had nothing to lose...
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
Investigate what happens when you add house numbers along a street in different ways.
What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Sort the houses in my street into different groups. Can you do it in any other ways?
This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.
The diagonals of a trapezium divide it into four parts. Can you create a trapezium where three of those parts are equal in area?