Mathematics in Science and Technology - May 2011, All Stages

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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What Is the Time?

Stage: 1 Challenge Level: Challenge Level:1

Can you put these times on the clocks in order? You might like to arrange them in a circle.

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Pairs of Legs

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

How many legs do each of these creatures have? How many pairs is that?

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Discuss and Choose

Stage: 1 and 2 Challenge Level: Challenge Level:1

This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

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Order the Changes

Stage: 2 Challenge Level: Challenge Level:1

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

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In Order

Stage: 2 Challenge Level: Challenge Level:1

Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.

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Order, Order!

Stage: 2 Challenge Level: Challenge Level:1

Can you place these quantities in order from smallest to largest?

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The Time Is ...

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

Can you put these mixed-up times in order? You could arrange them in a circle.

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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

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Mach Attack

Stage: 5 Challenge Level: Challenge Level:1

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

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Scientific Curves

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you sketch these difficult curves, which have uses in mathematical modelling?

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Drug Stabiliser

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How does the half-life of a drug affect the build up of medication in the body over time?