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Each time you visit the NRICH site there will be some activities which are 'live'. This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article.
The last day for sending us solutions to these live problems is Monday 17th June 2024.
If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
Polygons drawn on square dotty paper have dots on their perimeter (p) and often internal (i) ones as well. Find a relationship between p, i and the area of the polygons.
Take a look at these recently solved problems.
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
By selecting digits for an addition grid, what targets can you make?
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
Using your knowledge of the properties of numbers, can you fill all the squares on the board?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
The clues for this Sudoku are the product of the numbers in adjacent squares.
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
Can you work out which processes are represented by the graphs?
Can you make sense of the three methods to work out what fraction of the total area is shaded?
Which line graph, equations and physical processes go together?