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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?

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Be playful with graphs and networks, and see what theorems you can discover!

The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.

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

Use the information about the triangles on this graph to find the coordinates of the point where they touch.

Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?

A collection of short problems on straight line graphs.

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

This set of resources for teachers offers interactive environments to support work on graphical interpretation at Key Stage 4.

Graphs are a crucial tool in dealing with the data that science generates.

Eulerian and Hamiltonian circuits are defined with some simple examples and a couple of puzzles to illustrate Hamiltonian circuits.

Can you solve the clues to find out who's who on the friendship graph?

Who's closest to the correct number of sweets in a jar - an individual guess or the average of many individuals' guesses? Which average?

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

The human genome is represented by a string of around 3 billion letters. To deal with such large numbers, genome sequencing relies on clever algorithms. This article investigates.

The illustration shows the graphs of twelve functions. Three of them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations of all the other graphs.

What biological growth processes can you fit to these graphs?

Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.

What proportion of people make 90% confident guesses which actually contain the correct answer?

Alf and Tracy explain how the Kingsfield School maths department use common tasks to encourage all students to think mathematically about key areas in the curriculum.

A geographical survey: answer the tiny questionnaire and then analyse all the collected responses...

Looking at the graph - when was the person moving fastest? Slowest?

An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.

This introduction to polar coordinates describes what is an effective way to specify position. This article explains how to convert between polar and cartesian coordinates and also encourages the. . . .

Explore the relationship between resistance and temperature

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?

Collection of STEM resources on topic of distance, speed and time

This feature explores problems connected with area and integration

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.

A holding page for the resources and links from the first stemNRICH TI day for 2012-13.

This short activity encourages students to consider a surprising result about the average number of friends that people have.

In this feature, we offer a selection of rich problems about area for use in all secondary classrooms.

The NRICH Stage 5 weekly challenges are shorter problems aimed at Post-16 students or enthusiastic younger students. There are 52 of them.

7: Introducing and developing STEM in the classroom.

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.