Mrs Verma owns a restaurant. At every table in the restaurant there are 8 chairs. At times, she joins tables together.
The diagrams illustrate how the tables are arranged and where each chair (X) is placed.
The diagrams show:
1 table with 8 chairs marked X around it.
2 tables joined together with chairs marked around.
3 tables joined together with chairs marked around.
A blank space labelled 4 tables.
The arrangement of the tables and chairs makes a sequence.
(a)[1]
Draw the arrangement for 4 tables.
(b)[2]
Complete the table entries.
(c)[2]
Find a formula, in terms of the number of tables, $t$, for the number of chairs, $c$.
(d)[2]
Work out how many chairs are needed.
(e)[2]
Work out how many tables are joined in this way when 80 chairs are needed.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct drawing of 4 tables with 14 chairs.” …