Mathematics in Science and Technology - May 2011, Stage 3&4

In this month's resources, we explore the ways in which mathematics, science and technology are linked. Skills we use in mathematics, science and technology often give us different perspectives that can help us to solve problems.

Problems

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Fill Me Up

Stage: 3 Challenge Level: Challenge Level:1

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

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Place Your Orders

Stage: 3 Challenge Level: Challenge Level:1

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

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Temperature

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?

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What's That Graph?

Stage: 4 Challenge Level: Challenge Level:1

Can you work out which processes are represented by the graphs?

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Fill Me up Too

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?

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Perfect Eclipse

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Use trigonometry to determine whether solar eclipses on earth can be perfect.

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Weekly Challenge 32: Medicine Half Life

Stage: 4 and 5 Challenge Level: Challenge Level:1

A weekly challenge concerning the decay of medicines in the body.

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Approximately Certain

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

Estimate these curious quantities sufficiently accurately that you can rank them in order of size