Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?
In this activity, the computer secretly makes a rectangle using equal rows of spots on the $5$ by $5$ grid.
The aim is for you to find the rectangle by testing spots on the interactivity below.
Click on 'Start' and the computer will tell you the total number of spots its rectangle uses.
In the left-hand 'test' grid, click on a spot to see whether it is part of the computer's rectangle. If it is part of the rectangle, the spot will turn yellow. If it isn't part of the rectangle, the spot will turn blue.
Once you think you know where the computer's rectangle is, you can create it on the 'decide here' grid. Clicking 'Reveal' will show whether you are correct.
Which spot is a good one to test first? Why?
If you had to use as few test spots as possible, how would that change the way you play?
Are there some total numbers of spots that are easier than others?
We would love to hear about the strategies you use for finding the computer's rectangle.