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

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

Which units would you choose best to fit these situations?

Get some practice using big and small numbers in chemistry.

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

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

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

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?

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?

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

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

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

Work out the numerical values for these physical quantities.

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

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

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

Examine these estimates. Do they sound about right?

Which dilutions can you make using only 10ml pipettes?

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

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?

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

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

Explore the relationship between resistance and temperature

Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?

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.

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

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

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

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

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

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

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?

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.

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. . . .

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?

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

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?

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

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