There are **65** NRICH Mathematical resources connected to **Maths Supporting SET**, you may find related items under Applications.

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?

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

Which countries have the most naturally athletic populations?

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

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

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

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?

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?

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

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

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

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?

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

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.

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

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

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

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

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

Can you work out which processes are represented by the graphs?

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

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

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

Explore the relationship between resistance and temperature

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

Get some practice using big and small numbers in chemistry.

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

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

Examine these estimates. Do they sound about right?

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

How would you go about estimating populations of dolphins?

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

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

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

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

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

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

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

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?