In this activity, there's a mystery box! What could be inside it? How do you know?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Each row and column has the total given. What is the value of the heart symbol?

This feature explores how teachers can harness the power of curiosity by using some tasks that may cause children to wonder!

Have you ever started a mathematics task and then stopped and wondered about something in it? We think these tasks might make you do this.

Find a great variety of ways of asking questions which make 8.

Being stuck is usually thought of as being a negative state of affairs. We want our pupils to succeed, not to struggle. Or do we? This article discusses why being stuck can be fruitful.

In this article, the NRICH team describe the process of selecting solutions for publication on the site.

You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.

The pie chart shows the different types of ice creams on sale. How many chocolate ice creams were sold?

The diagram shows a semi-circle and an isosceles triangle which have equal areas. What is the value of tan x?

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

Articles about mathematics which can help to invigorate your classroom

77 is multiplied by another two-digit number with identical digits. What is the product?

These CMEP resources explore the use of trigonometric identities and other trig features

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Can you rearrange the cards to make a series of correct mathematical statements?

A security camera, taking pictures each half a second, films a cyclist going by. In the film, the cyclist appears to go forward while the wheels appear to go backwards. Why?

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Put your complex numbers and calculus to the test with this impedance calculation.

Can you find the maximum value of the curve defined by this expression?

Just because a problem is impossible doesn't mean it's difficult...

Under what circumstances can you rearrange a big square to make three smaller squares?

Is it possible to make an irregular polyhedron using only polygons of, say, six, seven and eight sides? The answer (rather surprisingly) is 'no', but how do we prove a statement like this?

In this 7-sandwich: 7 1 3 1 6 4 3 5 7 2 4 6 2 5 there are 7 numbers between the 7s, 6 between the 6s etc. The article shows which values of n can make n-sandwiches and which cannot.

Which of these triangular jigsaws are impossible to finish?

Publicity for the one day event at the Royal Society, London on Monday 11th November, 2013

In this article, Malcolm Swan describes a teaching approach designed to improve the quality of students' reasoning.

This is about a fiendishly difficult jigsaw and how to solve it using a computer program.

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?

What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?

A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same. . . .

Weekly Problem 52 - 2014

Four arcs are drawn in a circle to create a shaded area. What fraction of the area of the circle is shaded?

Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.

Can you find formulas giving all the solutions to 7x + 11y = 100 where x and y are integers?

Understanding ratio and proportion is vital in science and in design technology.