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Happy Octopus
problem

Happy Octopus

11 to 14
This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 ... Find all the fixed points and cycles for the happy number sequences in base 8.
Gnomon dimensions
problem

Gnomon Dimensions

14 to 16
These gnomons appear to have more than a passing connection with the Fibonacci sequence. This problem ask you to investigate some of these connections.
Speeding boats
problem
Favourite

Speeding Boats

14 to 16

Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?

Area and perimeter
problem
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Area and Perimeter

7 to 11

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Outside the Box
article

Outside the Box

7 to 14
This article explores the links between maths, art and history, and suggests investigations that are enjoyable as well as challenging.
Pattern Power
article

Pattern Power

5 to 14

Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.

Rational request
problem

Rational Request

16 to 18

Can you make a curve to match my friend's requirements?

tiling
problem

Tiling

7 to 11

An investigation that gives you the opportunity to make and justify predictions.

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