Question 35

Challenge question #35 (31/10/2016)

Junior Question

Maths Image

How many triangles are contained in this figure?


Senior Question

Maths Image

Suppose a group of numbers are written in a grid of rows and columns.

Amanda finds the maximum value of each row, and then finds the minimum of these values, which she calls $A$.

Bill finds the minimum value of each column, and then finds the maximum of these values, which he calls $B$.

Show that $A$ must be greater than or equal to $B$.