Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
Work out how to light up the single light. What's the rule?
Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?
Each light in this interactivity turns on according to a rule. What
happens when you enter different numbers? Can you find the smallest
number that lights up all four lights?
What shape is the overlap when you slide one of these shapes half
way across another? Can you picture it in your head? Use the
interactivity to check your visualisation.
What does the overlap of these two shapes look like? Try picturing
it in your head and then use the interactivity to test your
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?