A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle contains 20 squares. What sizes of rectangle contain exactly 100 squares? Can you find them all?
There are nasty versions of this dice game but we'll start with the nice ones...
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Can you work out which spinners were used to generate the frequency charts?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
