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.

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. . . .

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

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

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.

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

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

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

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

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

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.

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

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?

Examine these estimates. Do they sound about right?

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

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

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

Get some practice using big and small numbers in chemistry.

How would you go about estimating populations of dolphins?

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

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

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

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

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

Explore the relationship between resistance and temperature

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?

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?

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

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

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

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

Which units would you choose best to fit these situations?

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?

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

Invent a scoring system for a 'guess the weight' competition.

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

Work out the numerical values for these physical quantities.

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

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