Making triangles
This task is about patterns and rules.
Fill in the spaces below to show the next 2 triangular numbers in the sequence. Draw a diagram for these numbers.
3 is a triangular number:
6 is the next triangular number:
a) 
__________ is the next triangular number. Diagram:

b) 
__________ is the next triangular number. Diagram:

c) 
Complete this sentence: "Each row is n + _____ of the row before it."

d) 
In a supermarket Jane builds up a display of tins of soup like this:
If there were a total of 28 tins, how many tins high would the stack be?

(A) 6
(B) 7
(C) 14
(D) 28
(E) 56
