Shaping It
Brush Loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Torn Shapes
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Area and Perimeter
What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.
Making Boxes
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Numerically Equal
Can you draw a square in which the perimeter is numerically equal to the area?
More Transformations on a Pegboard
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Next Size Up
The challenge for you is to make a string of six (or more!) graded cubes.
Fitted
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
Cover the Tray
These practical challenges are all about making a 'tray' and covering it with paper.
Ribbon Squares
What is the largest 'ribbon square' you can make? And the smallest? How many different squares can you make altogether?