year 8 maths

4F
Converting fractions, decimals and percentages
235
ENRICHMENT
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19
Tangram percentages
19 You are most likely familiar with the ancient Chinese
puzzle known as a tangram.
A tangram consists of seven geometric shapes (tans),
as shown.
The tangram puzzle is precisely constructed using
vertices, midpoints and straight edges.
a Express each of the separate tan pieces as a percentage,
a fraction and a decimal amount of the entire puzzle.
b Check your seven tans add up to a total of 100% .
c Starting with a square, design a new version of a ‘modern’
tangram puzzle. You must have at least six pieces in your puzzle.
An example of a modern puzzle is shown.
d Express each of the separate pieces of your new puzzle as a
percentage, a fraction and a decimal amount of the entire puzzle.
e Separate pieces of tangrams can be arranged to make more than
300 creative shapes and designs, some of which are shown below.
You may like to research tangrams and attempt to make some of
the images.
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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