Explore the relationship between resistance and temperature

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

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

Examine these estimates. Do they sound about right?

Get some practice using big and small numbers in chemistry.

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

Work out the numerical values for these physical quantities.

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

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

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

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

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

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

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?

Which dilutions can you make using only 10ml pipettes?

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

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

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

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

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

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

How would you go about estimating populations of dolphins?

Which units would you choose best to fit these situations?

This problem explores the biology behind Rudolph's glowing red nose.

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

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

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?

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

How would you design the tiering of seats in a stadium so that all spectators have a good view?

Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .

What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?

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

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

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

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

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

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

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.