Foundation November 2017 Paper 3 Q6
6 Gina makes a sandwich using
bread (B) or a roll (R)
and
ham (H) or cheese (C)
and
salad (S) or pickle (P)
(a) List all the possible types of sandwich Gina could make.
One has been done for you. [2 marks]
B H S
(b) What fraction of the possible types of sandwich have cheese and pickle? [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| BHS RHS BHP RHP BCS RCS BCP RCP | B2 | B1 for four additional correct combinations with no errors or repetitions or five additional correct combinations with at most one error or repetition or six or seven additional correct combinations with at most two errors or repetitions |
Additional guidance
Do not allow repetition of BHS for B2
Ingredients may be written as full words
Accept letters or words in any order eg BPC for BCP
Do not accept tree diagrams without combinations listed
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{2}{8}\) or \(\dfrac{1}{4}\) | B1ft | ft their (a) with at least three additional combinations, at least one of which contains cheese and pickle ignore further working if attempting to simplify |
Additional guidance
| \(\dfrac{2}{8}\) or \(\dfrac{1}{4}\) is B1, if not \(\dfrac{2}{8}\) or \(\dfrac{1}{4}\) refer to (a) for possible ft | |
| BHS, BHS, BHP, BCS, BCP, RHS, RHP, RCS and RCP in (a) with answer \(\dfrac{2}{9}\) | B1ft |
| Answer given only as decimal or percentage | B0 |