article
Zooming in on the Squares
Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?
Visualising and representing
project
How Many?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
interactivity
Introducing NRICH TWILGO
We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us?
problem
Tumbling Down
Age
7 to 11
Challenge level
Watch this animation. What do you see? Can you explain why this happens?
problem
Eightness of Eight
Age
5 to 7
Challenge level
What do you see as you watch this video? Can you create a similar video for the number 12?
problem
Square Surprise
Age
5 to 11
Challenge level
Why do you think that the red player chose that particular dot in this game of Seeing Squares?
problem
Number Lines in Disguise
Age
7 to 14
Challenge level
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Representing Numbers
Age
7 to 11
Challenge level
Find as many different ways of representing this number of dots as you can.
problem
Jigsaw Pieces
Age
7 to 11
Challenge level
How will you go about finding all the jigsaw pieces that have one peg and one hole?
problem
Painting Possibilities
Age
7 to 11
Challenge level
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.