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Broad Topics >

Transformations and constructions > Locus/loci

##### Age 14 to 16 Challenge Level:

In the diagram the point P' can move to different places along the
dotted line. Each position P' takes will fix a corresponding
position for P. If P' moves along a straight line what does P do ?

##### Age 14 to 16 Challenge Level:

In the diagram the point P can move to different places around the
dotted circle. Each position P takes will fix a corresponding
position for P'. As P moves around on that circle what will P' do?

##### Age 7 to 16 Challenge Level:

A cheap and simple toy with lots of mathematics. Can you interpret
the images that are produced? Can you predict the pattern that will
be produced using different wheels?

##### Age 14 to 16 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

ABC is an equilateral triangle and P is a point in the interior of
the triangle. We know that AP = 3cm and BP = 4cm. Prove that CP
must be less than 10 cm.

##### Age 14 to 16 Challenge Level:

Points off a rolling wheel make traces. What makes those traces
have symmetry?

##### Age 11 to 14 Challenge Level:

Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
vertical and horizontal movement at each stage.

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
speed at each stage.

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

##### Age 11 to 16 Challenge Level:

From the information you are asked to work out where the picture
was taken. Is there too much information? How accurate can your
answer be?

##### Age 14 to 18 Challenge Level:

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