This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one....

Investigate the totals you get when adding numbers in threes on the diagonal of this pattern....

This task encourages you to investigate the number of edging pieces and panes in different sized windows....

How much can you read into a T-shirt?...

Is there a temperature at which Celsius and Fahrenheit readings are the same?...

Economics and physics are distinct fields of study, yet some researchers have been bridging the two together to tackle complex economics problems in innovative ways. This resulted in the establishment of an interdisciplinary research field, known as econophysics, which specializes in solving...

Which way of flipping over and/or turning this grid will give you the highest total? You'll need to imagine where the numbers will go in this tricky task!...

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?...

The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?...

Use your knowledge of place value to try to win this game. How will you maximise your score?...

## Pages