Help share out the biscuits the children have made.
"Ip dip sky blue! Who's 'it'? It's you!" Where would you position
yourself so that you are 'it' if there are two players? Three
This challenge involves eight three-cube models made from
interlocking cubes. Investigate different ways of putting the
models together then compare your constructions.
What happens when you add the digits of a number then multiply the
result by 2 and you keep doing this? You could try for different
numbers and different rules.
When Charlie asked his grandmother how old she is, he didn't get a
straightforward reply! Can you work out how old she is?
The challenge for you is to make a string of six (or more!) graded
How many different symmetrical shapes can you make by shading triangles or squares?
In this problem, we have created a pattern from smaller and smaller
squares. If we carried on the pattern forever, what proportion of
the image would be coloured blue?
Can you maximise the area available to a grazing goat?
Have a go at creating these images based on circles. What do you notice about the areas of the different sections?
An equilateral triangle rotates around regular polygons and
produces an outline like a flower. What are the perimeters of the
L triominoes can fit together to make larger versions of
themselves. Is every size possible to make in this way?
The NRICH Stage 5 weekly challenges are shorter problems aimed at Post-16 students or enthusiastic younger students. There are 52 of them.
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
Make a catalogue of curves with various properties.
Get started with calculus by exploring the connections between the
sign of a curve and the sign of its gradient.
Find curves which have gradients of +1 or -1 at various points
We had some good solutions to this problem. I wonder whether there
are any other possibilities?
Many of you worked out the rules behind these lights. Have a look
at the solutions that were sent in.
Herschel figured out an experiment which might have led to the
graph, and sent us a skilful analysis of the data.
The black box was cracked by several solvers in a great show of
ingenuity and determination.
What might your first lesson with a new class look like? In this article, Cherri Moseley makes some suggestions for primary teachers.
What are rich tasks and contexts and why do they matter?
This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.
In this article, read about the thinking behind the September 2010 secondary problems and why we hope they will be an excellent selection for a new academic year.
This task depends on groups working collaboratively, discussing and
reasoning to agree a final product.
A task which depends on members of the group noticing the needs of
others and responding.
Weekly challenges are here for NRICH! To celebrate this event,
we've collected a set of 20 essential problems for you to try.
This task develops knowledge of transformation of graphs. By
framing and asking questions a member of the team has to find out
which mathematical function they have chosen.