Sequences: WJEC GCSE Numeracy Foundation June 2023 Unit 2 Q4

Numeracy Foundation June 2023 Unit 2 Q4

WJECFoundationCurrent spec5 marksSequences Substitution

4. A restaurant uses square tables to seat customers.
Four chairs fit around one table, as shown in the diagram below.

Box labelled 1 table, 4 chairs, next to a square table with one chair (circle) on each of its four sides

For groups of more than four customers, tables are arranged in a line.
For example, six chairs fit around two tables, as shown in the diagram below.

Box labelled 2 tables, 6 chairs, next to two square tables joined in a line with two chairs above, two chairs below and one chair at each end

The total cost of buying new tables and chairs can be calculated using the formula:

Total cost (£) = number of tables × 17.84 + number of chairs × 9.47

Four new tables are to be arranged in a line.
Calculate the total cost of buying the four tables and the chairs needed for these tables.
You must show all your working. [5]

Mark scheme

Scheme	Marks	Comments
Sight of 10 (chairs)	B1	May be implied in later working Award B1 for correct diagram drawn with 4 tables and 10 chairs shown
4 × 17.84 + 10 × 9.47	M2	FT for M2 for 4 tables AND ‘their 10 chairs’ where the number of chairs > 6 e.g. use of 4 tables and 8 chairs Award M1 for: 4 × 17.84 (= (£)71.36)) 10 × 9.47 (= (£)94.7(0)) ‘their number of chairs > 6’ × 9.47
(£)166.06	A2	Only award A2 if 4 tables have been considered with their chairs > 6 Award A1 for (£)71.36 (£)94.7(0) ‘their number of chairs > 6’ × 9.47 correctly evaluated Note: A total cost needs to be checked as it may imply M1 A1 Note: common incorrect totals are: 4 × 17.84 + 12 × 9.47 = £185 4 × 17.84 + 16 × 9.47 = £222.88 4 × 17.84 + 24 × 9.47 = £298.64 These are awarded B0M2A2