Mathematics Update

Solution to last weeks problem:

Consecutive numbers are written on five separate cards, one on each card. If the sum of the smallest three numbers is 60, what is the sum of the largest three numbers?

(A) 62         (B) 63         (C) 64          (D) 65        (E) 66

The average of the three smallest is 20, so they will be 19, 20 and 21. Then the largest three numbers are 21, 22 and 23, which add to 66, hence (E)

This months problem:

A 3 by 5 grid of dots is set out as shown. How many straight line segments can be drawn that join two of these dots and pass through exactly one other dot?

(A) 14            (B) 20            (C) 22              (D)24            (E)30