Other tags that relate to Five Circuits, Seven Spins
Real world. Mathematical reasoning & proof. Calculating with ratio & proportion. Perimeter. Circumference and arc length. Cubes & cuboids. Games. Chemistry. Loci. Visualising.There are 7 results
Broad Topics > Functions and Graphs > Loci
Five Circuits, Seven Spins
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.
Just Rolling Round
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?
Set Square
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?
Rolling Coins
Age 14 to 16 Challenge Level:
A blue coin rolls round two yellow coins which touch. The coins are the same size. How many revolutions does the blue coin make when it rolls all the way round the yellow coins? Investigate for a. . . .
Triangles and Petals
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?
Roaming Rhombus
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. . . .
NRICH is part of the family of activities in the Millennium Mathematics Project.