Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Consider these questions concerning inverting rational functions
Invent a scoring system for a 'guess the weight' competition.
Can you work as a team to make doughnuts by matching these fractions, decimals and percentages?
The challenge for you is to make a string of six (or more!) graded cubes.
Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Can you each work out what shape you have part of on your card? What will the rest of it look like?
