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

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

How would you go about estimating populations of dolphins?

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

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

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

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 calculate various quantities in physical contexts.

Which dilutions can you make using only 10ml pipettes?

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?

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

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

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

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

Explore the relationship between resistance and temperature

Get some practice using big and small numbers in chemistry.

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

Which units would you choose best to fit these situations?

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

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

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

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

Water freezes at 0°Celsius (32°Fahrenheit) and boils at 100°C (212°Fahrenheit). Is there a temperature at which Celsius and Fahrenheit readings are the same?

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

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

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?

Examine these estimates. Do they sound about right?

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

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

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

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

Work out the numerical values for these physical quantities.

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?

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .

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

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

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

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

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

What shape and size of drinks mat is best for flipping and catching?