Maths starters 3: Understanding shape

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Cinderella’s selfish step sisters

Cinderella’s sisters are going to the ball, and have told Cinderella to make them beautiful necklaces to wear. She has a large bag of beads and several pieces of velvet threading string, as the sisters want three necklaces each. However, each necklace must be different. Poor Cinders! The beads have two shapes: cubes and spheres. The first necklace she makes is one sphere, one cube, one sphere, and so on. But now she has to find other ways to sequence the beads to make every row original.