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

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

Which countries have the most naturally athletic populations?

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

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.

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

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

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

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

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

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

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

Get some practice using big and small numbers in chemistry.

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.

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

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.

Work out the numerical values for these physical quantities.

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?

Explore the relationship between resistance and temperature

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

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

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

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.

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

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?

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

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

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. . . .

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

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

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.

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

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

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?