# Resources tagged with: Locus/loci

### There are 14 results

Broad Topics >

Transformations and constructions > Locus/loci

##### Age 16 to 18 Challenge Level:

Consider the mechanics of pole vaulting

##### Age 16 to 18 Challenge Level:

A circular plate rolls inside a rectangular tray making five
circuits and rotating about its centre seven times. Find the
dimensions of the tray.

##### 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 16 to 18 Challenge Level:

Have you got the Mach knack? Discover the mathematics behind
exceeding the sound barrier.

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

We have four rods of equal lengths hinged at their endpoints to
form a rhombus ABCD. Keeping AB fixed we allow CD to take all
possible positions in the plane. What is the locus (or path) of the
point. . . .

##### 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 16 Challenge Level:

P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus
of P?

##### 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 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 16 to 18 Challenge Level:

A triangle PQR, right angled at P, slides on a horizontal floor
with Q and R in contact with perpendicular walls. What is the locus
of P?

##### 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:

An equilateral triangle rotates around regular polygons and
produces an outline like a flower. What are the perimeters of the
different flowers?

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

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

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

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