Grade 11 Tutorials - Maths Excellence

Question 3
Once a year the City of Cape Town hosts a “long table dinner”. Small square tables are arranged next to each
other in a straight row, so that one person sits on each of the available sides of the table. So for example with 2
tables 6 people can be seated and with 4 tables 10 people can be seated.
3.1 If 18 tables are arranged as described above, how many people can be seated?
3.2 How many tables must be packed next to each other if 94 people must be seated?
(Show all calculations).
3.3 How many tables must be packed next to each other if 57 people must be seated?
(Show all calculations).
3.4 Determine an algebraic formula that would generalize the relationship between the number
of tables and the number of people that can be seated.
Question 4
Thabo links balls with rods in arrangements as shown below:
Arrangement 1 Arrangement 2 Arrangement 3 Arrangement 4
1 ball, 4 rods 4 balls, 12 rods 9 balls, 24 rods 16 balls 40 rods
4.1 Determine the number of balls in the nth arrangement.
4.2 Determine the number of rods in the nth arrangement.
Grade 11 - 4 - Tutorials