Farewell to Jenny Piggott - January 2011, Stage 1&2

In the summer of 2010, Jenny Piggott retired as NRICH Director and we held a farewell event for her. Colleagues and friends joined us to work together on problems they had suggested. This month we are featuring some tasks that were inspired by the day.

Problems

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Pairs of Numbers

Stage: 1 Challenge Level: Challenge Level:1

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

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Button-up

Stage: 1 Challenge Level: Challenge Level:1

My coat has three buttons. How many ways can you find to do up all the buttons?

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Dotty Six

Stage: 1 and 2 Challenge Level: Challenge Level:1

Dotty Six is a simple dice game that you can adapt in many ways.

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Shaping It

Stage: 1 and 2 Challenge Level: Challenge Level:1

These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. You could investigate your own starting shape.

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Bryony's Triangle

Stage: 2 Challenge Level: Challenge Level:1

Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

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Button-up Some More

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?