This collection contains resources from the website 1001mathproblems.com by Sian Zelbo. Both geometric and arithmetic sequences are featured in these resources, along with the Fibonacci numbers. Each topic is presented in the form of a puzzle, to which there are several different solutions. The materials are ideal for use with Key Stage 3 students.  

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Honeybee family tree

The family tree for honeybees is given together with rules for reproduction. The challenge begins with identification of male and female bees in a diagram. Further rows are then added and the information collected in a table. There is an extension to then find the number of bees in other generations without drawing...

Arithmetic sequence puzzle

This resource looks at arithmetic sequences. The first puzzle involves three intersecting lines with circles marked. The challenge is to create arithmetic sequences that will fit each line. The second challenge is harder since there are four lines and more intersections. The resource is suitable for Key Stage 3...

Number grid problem

A 2 by 4 grid is presented. The numbers from 1 to 8 are to be placed in the grid so that no two consecutive numbers touch at a side or a corner. The resource is suitable for Key Stage 3 students.

Geometric progressions

Five squares are given. Each square contains a pattern of squares or triangles that become smaller and smaller until they are infinitely small. The challenge is to work out what fraction of each square is shaded. The challenge provides an introduction to the concept of geometric progressions and the idea of a limit...