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

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

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.

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.

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

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

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

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

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

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

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

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?

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

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

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

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?

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

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

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

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

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

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

Explore the relationship between resistance and temperature

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?

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

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. . . .

Get some practice using big and small numbers in chemistry.

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

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

Various solids are lowered into a beaker of water. How does the water level rise in each case?

Which units would you choose best to fit these situations?

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?

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?

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

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