Measuring and Calculating

Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

Can you draw a square in which the perimeter is numerically equal to the area?

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

The challenge for you is to make a string of six (or more!) graded cubes.

Use your logical thinking skills to deduce how much Dan's crisps and ice cream cost altogether.

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

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?