Challenge Level

Which countries have the most naturally athletic populations?

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Can you deduce which Olympic athletics events are represented by the graphs?

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Simple models which help us to investigate how epidemics grow and die out.

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Invent a scoring system for a 'guess the weight' competition.

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Use your skill and judgement to match the sets of random data.

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Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

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

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The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?

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Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Challenge Level

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Challenge Level

Formulate and investigate a simple mathematical model for the design of a table mat.

Challenge Level

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

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Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

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To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...

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Make your own pinhole camera for safe observation of the sun, and find out how it works.

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Which units would you choose best to fit these situations?

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When you change the units, do the numbers get bigger or smaller?

Challenge Level

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the. . . .

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.

Challenge Level

Where should runners start the 200m race so that they have all run the same distance by the finish?

Challenge Level

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Challenge Level

Get some practice using big and small numbers in chemistry.

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In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

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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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Which dilutions can you make using only 10ml pipettes?

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Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?

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If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

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Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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What shape would fit your pens and pencils best? How can you make it?

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Have you ever wondered what it would be like to race against Usain Bolt?

Challenge Level

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Challenge Level

Explore the relationship between resistance and temperature

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Analyse these beautiful biological images and attempt to rank them in size order.

Challenge Level

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

Challenge Level

Is there a temperature at which Celsius and Fahrenheit readings are the same?

Challenge Level

These Olympic quantities have been jumbled up! Can you put them back together again?

Challenge Level

Work with numbers big and small to estimate and calulate various quantities in biological contexts.

Challenge Level

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

Challenge Level

Examine these estimates. Do they sound about right?

Challenge Level

How would you go about estimating populations of dolphins?

Challenge Level

Can you draw the height-time chart as this complicated vessel fills with water?