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Tasks Promoting Inquiry
Age 11 to 18
Challenge Level 
On March 26th, 2013, Dan Meyer gave a talk in Cambridge as part of the NRICH and PRIMAS Fostering Inquiring Minds Teacher Inspiration Day. Here you can watch a video of Dan's talk.
Here is a link to Dan's Pyramid of Pennies page.
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Summing Consecutive Numbers
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Cyclic Quad Jigsaw
A picture is made by joining five small quadrilaterals together to make a large quadrilateral. Is it possible to draw a similar picture if all the small quadrilaterals are cyclic?
Angle Trisection
It is impossible to trisect an angle using only ruler and compasses but it can be done using a carpenter's square.