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

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

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

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

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.

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

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

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

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?

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?

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

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

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

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

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

Which dilutions can you make using only 10ml pipettes?

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?

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

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

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

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 biological contexts.

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

How would you go about estimating populations of dolphins?

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

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?

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

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?

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

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

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

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

Explore the relationship between resistance and temperature

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

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?

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

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

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