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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Maths Supporting SET

### Curve Spotting

### Order, Order!

### In Order

### Order the Changes

### The Moving Planets

### Plaiting and Braiding

### Eclipses of the Sun

### Flip Your Mat!

### Avalanche!

### Troublesome Triangles

### First Forward Into Logo 2: Polygons

### First Forward Into Logo 4: Circles

### First Forward Into Logo 3: Repeat REPEAT

### First Forward Into Logo 1: Square Five

### First Forward Into Logo 5: Pen Up, Pen Down

### Place Your Orders

### Reaction Timer

### Make Your Own Pencil Case

### Temperature

### Pinhole Camera

### Fill Me Up

### Chocolate Cake

### Toad in the Hole

### Investigating Epidemics

### Witch's Hat

### Shaping the Universe I - Planet Earth

### Big and Small Numbers in the Living World

### Shaping the Universe II - the Solar System

### Designing Table Mats

### Shaping the Universe III - to Infinity and Beyond

### First Forward Into Logo 8: More about Variables

### First Forward Into Logo 11: Sequences

### First Forward Into Logo 12: Puzzling Sums

### First Forward Into Logo 6: Variables and Procedures

### First Forward Into Logo 7: Angles of Polygons

### First Forward Into Logo 10: Count up - Count Down

### First Forward Into Logo 9: Stars

### Perfect Eclipse

### Counting Dolphins

### Big and Small Numbers in Chemistry

### Robot Camera

### Big and Small Numbers in Biology

### Big and Small Numbers in Physics

### Guessing the Graph

### How Do You React?

### Electric Kettle

### Choose Your Units

### Carbon Footprints

### Investigating the Dilution Series

### Constantly Changing

### Big and Small Numbers in the Physical World

### Biology Measurement Challenge

### Far Horizon

### A Question of Scale

### Fill Me up Too

### What's That Graph?

### Approximately Certain

### What's the Point of Squash?

### Back Fitter

### Construct the Solar System

### Stadium Sightline

### Where Are You Flying?

### Angle of Shot

### The Mathematical Problems Faced by Advanced STEM Students

### 10 Olympic Starters

### A Very Shiny Nose?

### Little Little G

### CSI: Chemical Scene Investigation

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

This collection of STEM resources is based on maths which supports the SET subjects. Resources are listed in order of stage.

Age 5 to 7

Challenge Level

Can you spot circles, spirals and other types of curves in these photos?

Age 5 to 11

Challenge Level

Can you place these quantities in order from smallest to largest?

Age 7 to 11

Challenge Level

Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.

Age 7 to 11

Challenge Level

Can you order pictures of the development of a frog from frogspawn and of a bean seed growing into a plant?

Age 7 to 14

Mathematics has always been a powerful tool for studying, measuring and calculating the movements of the planets, and this article gives several examples.

Age 7 to 14

This article for students gives some instructions about how to make some different braids.

Age 7 to 14

Mathematics has allowed us now to measure lots of things about eclipses and so calculate exactly when they will happen, where they can be seen from, and what they will look like.

Age 7 to 14

Challenge Level

What shape and size of drinks mat is best for flipping and catching?

Age 7 to 14

Challenge Level

Investigate how avalanches occur and how they can be controlled

Age 7 to 14

Challenge Level

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple simulation game to investigate the properties of such systems.

Age 7 to 16

Challenge Level

This is the second in a twelve part introduction to Logo for beginners. In this part you learn to draw polygons.

Age 7 to 16

Challenge Level

Learn how to draw circles using Logo. Wait a minute! Are they really circles? If not what are they?

Age 7 to 16

Challenge Level

More Logo for beginners. Now learn more about the REPEAT command.

Age 7 to 16

Challenge Level

A Short introduction to using Logo. This is the first in a twelve part series.

Age 7 to 16

Challenge Level

Learn about Pen Up and Pen Down in Logo

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

Challenge Level

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

Age 11 to 14

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?

Age 11 to 16

Challenge Level

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

Age 11 to 16

Challenge Level

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

Age 11 to 16

This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.

Age 11 to 16

Challenge Level

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

Age 11 to 16

The second in a series of articles on visualising and modelling shapes in the history of astronomy.

Age 11 to 16

Challenge Level

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

Age 11 to 16

The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.

Age 11 to 18

Challenge Level

Write a Logo program, putting in variables, and see the effect when you change the variables.

Age 11 to 18

Challenge Level

This part introduces the use of Logo for number work. Learn how to use Logo to generate sequences of numbers.

Age 11 to 18

Challenge Level

Can you puzzle out what sequences these Logo programs will give? Then write your own Logo programs to generate sequences.

Age 11 to 18

Challenge Level

Learn to write procedures and build them into Logo programs. Learn to use variables.

Age 11 to 18

Challenge Level

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

Age 11 to 18

Challenge Level

What happens when a procedure calls itself?

Age 11 to 18

Challenge Level

Turn through bigger angles and draw stars with Logo.

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

How would you go about estimating populations of dolphins?

Age 14 to 16

Challenge Level

Get some practice using big and small numbers in chemistry.

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

Work out the numerical values for these physical quantities.

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

Explore the relationship between resistance and temperature

Age 14 to 16

Challenge Level

Which units would you choose best to fit these situations?

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

Which dilutions can you make using only 10ml pipettes?

Age 14 to 16

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.

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

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

Age 14 to 16

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?

Age 14 to 16

Challenge Level

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?

Age 14 to 16

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?

Age 14 to 18

Challenge Level

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

Age 14 to 18

Challenge Level

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

Age 14 to 18

Challenge Level

Under which circumstances would you choose to play to 10 points in a game of squash which is currently tied at 8-all?

Age 14 to 18

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?

Age 14 to 18

Challenge Level

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

Age 14 to 18

Challenge Level

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

Age 14 to 18

Challenge Level

Where do people fly to from London? What is good and bad about these representations?

Age 16 to 18

Challenge Level

At what angle should you release the shot to break Olympic records?

Age 16 to 18

STEM students at university often encounter mathematical difficulties. This articles highlights the various content problems and the 7 key process problems encountered by STEM students.

Age 16 to 18

Challenge Level

10 intriguing starters related to the mechanics of sport.

Age 16 to 18

Challenge Level

This problem explores the biology behind Rudolph's glowing red nose, and introduces the real life phenomena of bacterial quorum sensing.

Age 16 to 18

Challenge Level

See how little g and your weight varies around the world. Did this variation help Bob Beamon to long-jumping succes in 1968?

Age 16 to 18

Challenge Level

There has been a murder on the Stevenson estate. Use your analytical chemistry skills to assess the crime scene and identify the cause of death...