3 out of 3
3 out of 3
Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.
1 out of 3
A rectangular field has two posts with a ring on top of each post. There are two quarrelsome goats and plenty of ropes which you can tie to their collars. How can you secure them so they can't fight each other but can reach every corner of the field?
3 out of 3
The triangle ABC is equilateral. The arc AB has centre C, the arc BC has centre A and the arc CA has centre B. Explain what happens when this shape rolls along with a plank of wood on top of it.
1 out of 3
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?
1 out of 3
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 D?
3 out of 3
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?
1 out of 3
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?
1 out of 3
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
1 out of 3
Consider the mechanics of pole vaulting
