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

How would you go about estimating populations of dolphins?

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

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 calulate various quantities in biological contexts.

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

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

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?

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

Get some practice using big and small numbers in chemistry.

Examine these estimates. Do they sound about right?

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

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 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?

Work out the numerical values for these physical quantities.

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

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

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. . . .

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

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

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

Which units would you choose best to fit these situations?

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

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

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?

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?

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

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

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

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. . . .

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

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

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