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. . . .

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

Which dilutions can you make using only 10ml pipettes?

Is it really greener to go on the bus, or to buy local?

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

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

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

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

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

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

How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.

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

Get some practice using big and small numbers in chemistry.

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.

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.

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

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

Starting with two basic vector steps, which destinations can you reach on a vector walk?

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

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

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

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

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?

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

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

Explore the relationship between resistance and temperature

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. . . .

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

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

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

How would you go about estimating populations of dolphins?

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?

Which units would you choose best to fit these situations?

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

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?

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?

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

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

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?

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