Coordinate Geometry - Short Problems

A collection of short Stage 3 and 4 problems on coordinate geometry



Spiral Snail

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 14 - 2012
A snail slithers around on a coordinate grid. At what position does he finish?

Graphical Triangle

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 35 - 2007
What is the area of the triangle formed by these three lines?

Tangram Area

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 29 - 2008
The seven pieces in this 12 cm by 12 cm square make a Tangram set. What is the area of the shaded parallelogram?

Squarely in the Grid

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 47 - 2009
How many squares can you draw on this lattice?

Defined Distances

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 51 - 2009
Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?

Kangaroo Hops

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?

Peri the Winkle

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 31 - 2014
Peri the winkle starts at the origin and slithers around some semicircles. Where does she end her expedition?