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

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

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

Work out the numerical values for these physical quantities.

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

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

Get some practice using big and small numbers in chemistry.

Examine these estimates. Do they sound about right?

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

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?

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

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

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

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

How would you go about estimating populations of dolphins?

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

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.

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?

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

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

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

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

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.

Which dilutions can you make using only 10ml pipettes?

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

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?

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

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

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?

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

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?

Which countries have the most naturally athletic populations?

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