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

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

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

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

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

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

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?

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. . . .

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.

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

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

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

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

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

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

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?

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

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

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?

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

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

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.

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

Explore the relationship between resistance and temperature

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

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. . . .

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

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?

Get some practice using big and small numbers in chemistry.

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.

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

Which countries have the most naturally athletic populations?

Work out the numerical values for these physical quantities.

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

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

How would you go about estimating populations of dolphins?