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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Shapes on the Playground

### Why do this
problem?

This problem is one that would be suitable for learners who are
looking at measurement, regular polygons or revising the addition
and subtraction of numbers to 100. It requires logical thinking and
careful reading of the questions asked.

### Key questions

### Possible extension

Learners could make a table of their results.

### Possible support

Suggest starting by drawing each the shapes and writing underneath
how many metres the perimeter of each would be.

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### Clock Hands

### Bracelets

### Sweets in a Box

Or search by topic

Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

How long are each of the sides of every shape?

What is the perimeter of a
hexagon/square/triangle/octagon?

What shapes does the problem say Ben drew?

This investigation explores using different shapes as the hands of the clock. What things occur as the the hands move.

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?