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

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

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?

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

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

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

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?

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

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

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

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

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

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.

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

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

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

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?

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

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?

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

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

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

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

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

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. . . .

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 work out which processes are represented by the graphs?

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

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

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

Work out the numerical values for these physical quantities.

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?

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