Page 223 - Math Smart - 7

A
0 gardener uses pieces of wood to divide up a vegetable garden Into squares as shown below.

1 square 2 squares 3 squares

a) Draw diagrams to work out
i) the number of pieces of wood needed to make 4 squares.
ii) the number of pieces of wood needed to make 5 squares.

b) Complete the following table.
Number of squares 1 2 3 4 5
Number of pieces of wood

Use the table to write down the term-to-term rule.
Add two rows to the table as shown below to determine Ti, T2, T3, T4, T5 and Tp, the formula
for finding the number of pieces of wood needed to make n squares.

Number of squares 1 2 3 4 5
Number of pieces of wood
Multiples of...

Multiples of ... + ...
= number of pieces of wood

d) How many pieces of wood are needed to form:
i) 21 squares (T21)? ii) 40squares (T40)? iii) 111 squares am)?
0 lighting company advertises that it can make L-shaped advertising signs made up of light globes.
A
They make up some small L's as samples.
o
o o

o o o
o o o o
00 000 0000 00000
Pattern 1 Pattern 2 Pattern 3 Pattern 4
Height of L = 2 Height of L = 3 Height of L = 4 Height of L = 5

Total number of Total number of Total number of Total number of
globes = 3 globes = 5 globes = 7 globes = 9

a) Draw diagrams to work out Pattern 5 and Pattern 6.

b) Complete the table.

Pattern number 1 2 3 4 5
Height of L
Number of globes 3 5

Write down the term-to-term rule.