Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?
Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Can you maximise the area available to a grazing goat?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
If you move the tiles around, can you make squares with different coloured edges?
