problem
Parabolic Patterns
Age
14 to 18
Challenge level
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.
problem
Doesn't add up
Age
14 to 16
Challenge level
In this problem we are faced with an apparently easy area problem,
but it has gone horribly wrong! What happened?
problem
Exploring cubic functions
Age
14 to 18
Challenge level
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
problem
Perpendicular lines
Age
14 to 16
Challenge level
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
problem
Negatively Triangular
Age
14 to 16
Challenge level
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
problem
At right angles
Age
14 to 16
Challenge level
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
problem
Back fitter
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?
problem
Surprising Transformations
Age
14 to 16
Challenge level
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?
problem
What's that graph?
Age
14 to 18
Challenge level
Can you work out which processes are represented by the graphs?
problem
Tangled Trig Graphs
Age
16 to 18
Challenge level
Can you work out the equations of the trig graphs I used to make my pattern?
Image
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.