Why Work Systematically?

Why Work Systematically?

Mathematicians often talk about the importance of working systematically on a problem, rather than approaching it in a random, unstructured way. The tasks in this feature have been chosen because systematic approaches will offer the most efficient routes to the solutions.

1 Step 2 Step 

Stage: 3 Challenge Level: Challenge Level:1
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Shady Symmetry 

Stage: 3 Challenge Level: Challenge Level:1
How many different symmetrical shapes can you make by shading triangles or squares?

Pair Sums 

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?