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?

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

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

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

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.

Get some practice using big and small numbers in chemistry.

Examine these estimates. Do they sound about right?

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. . . .

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

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

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

Which dilutions can you make using only 10ml pipettes?

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

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?

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

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

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

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

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

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

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

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

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?

How would you go about estimating populations of dolphins?

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

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

Which units would you choose best to fit these situations?

Work out the numerical values for these physical quantities.

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

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

Explore the relationship between resistance and temperature

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?

Which countries have the most naturally athletic populations?

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

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

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

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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. . . .

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

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

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.