The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Can you find an efficent way to mix paints in any ratio?
If a sum invested gains 10% each year how long before it has doubled its value?
A plastic funnel is used to pour liquids through narrow apertures. What shape funnel would use the least amount of plastic to manufacture for any specific volume ?
What 3D shapes occur in nature. How efficiently can you pack these shapes together?
What is the same and what is different about these circle questions? What connections can you make?
Explore the relationships between different paper sizes.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
