Foundation June 2024 Paper 2R Q11
11 A café sells 4 different types of cake.
carrot (C) fruit (F) lemon (L) madeira (M)
Nala is going to choose 2 different types of cake.
(a) Write down all the possible combinations she can choose. (2)
The two-way table gives some information about the flavours of ice creams sold by the café on Saturday and on Sunday.
| Chocolate | Mint | Vanilla | Total | |
|---|---|---|---|---|
| Saturday | 11 | 28 | ||
| Sunday | 20 | 13 | 49 | |
| Total | 48 | 31 | 41 |
(b) Complete the two-way table. (2)
Nala asks 100 students whether they prefer cake or ice cream.
33 of the students prefer cake.
One of the 100 students is chosen at random.
(c) Find the probability that this student does not prefer cake. (1)
| Scheme | Marks |
|---|---|
| CF, CL, CM, FL, FM, LM | B2 |
| (2) |
Notes
B2: for all 6 combinations with no extras of repeats
(B1 for at least 3 correct combinations (ignoring repeats))
| Scheme | Marks | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Correct two-way table | B2 | ||||||||||||||||||||
| (2) |
Notes
B2: for all 4 correct values
(B1 for 2 or 3 correct values)
| Scheme | Marks |
|---|---|
| \(\dfrac{67}{100}\) | B1 |
| (1) | |
| (5 marks) |
Notes
B1: oe