Becky created a number plumber which multiplies by 5 and subtracts 4. What do you notice about the numbers that it produces? Can you explain your findings?

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.

Consider these questions concerning inverting rational functions

Can you make a curve to match my friend's requirements?

This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?

Explore Alex's number plumber. What questions would you like to ask? Don't forget to keep visiting NRICH projects site for the latest developments and questions.

Steve has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?

Have a look at the ways children from Ickford Combined School and Weeke Primary sorted these cards.

The insights gained from tackling the earlier parts of this question helped many solve the final challenge.

Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.

Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.