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Counting on Letters

The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?

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Magic Caterpillars

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

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Plum Tree

Label this plum tree graph to make it totally magic!

Cinema Problem

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

Cinema title image

This problem is in two parts. The first part provides some building blocks which will help you to solve the final challenge. These can be attempted in any order. Of course, you are welcome to go straight to the Final Challenge!

Click a question from below to get started.


Question A

Question B

Question C

Question D

Final Challenge

This problem is based on Cinema Problem from SIGMA 1 by David Kent and Keith Hedger