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.

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

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

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.

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

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

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...

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

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

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

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

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

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. . . .

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

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

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

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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

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

Work out the numerical values for these physical quantities.

Which units would you choose best to fit these situations?

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

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?

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

Which dilutions can you make using only 10ml pipettes?

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?

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

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

Explore the relationship between resistance and temperature

How would you go about estimating populations of dolphins?

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.

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?

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