Farewell to Jenny Piggott - January 2011, Stage 2&3

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

problem icon

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.

problem icon

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.

problem icon

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?

problem icon

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 ...?

problem icon

Semi-regular Tessellations

Stage: 3 Challenge Level: Challenge Level:1

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

problem icon

Troublesome Dice

Stage: 3 Challenge Level: Challenge Level:1

When dice land edge-up, we usually roll again. But what if we didn't...?

problem icon

Perimeter Expressions

Stage: 3 Challenge Level: Challenge Level:1

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

problem icon

Odds and Evens

Stage: 3 and 4 Challenge Level: Challenge Level:1

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?