Challenge Level

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

Challenge Level

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

Challenge Level

Which countries have the most naturally athletic populations?

Challenge Level

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.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Get some practice using big and small numbers in chemistry.

Challenge Level

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

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Explore the relationship between resistance and temperature

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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.

Challenge Level

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

Challenge Level

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

Challenge Level

Which dilutions can you make using only 10ml pipettes?

Challenge Level

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?

Challenge Level

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

Challenge Level

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?

Challenge Level

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

Challenge Level

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

Challenge Level

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. . . .

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

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

Challenge Level

Work out the numerical values for these physical quantities.

Challenge Level

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

Challenge Level

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?