Foundation June 2024 Paper 2 Q5
5 Percy has two fair spinners.
Spinner A is 4-sided and can land on 1, 1, 2 or 3
Spinner B is 5-sided and can land on 5, 7, 8, 9 or 11
Percy spins each spinner once.
He subtracts the number that spinner A lands on from the number that spinner B lands on to get his score.
(a) Complete the table to show all the possible scores. (2)
| Spinner A | |||||
|---|---|---|---|---|---|
| 1 | 1 | 2 | 3 | ||
| Spinner B | 5 | 4 | 4 | ||
| 7 | 5 | 4 | |||
| 8 | 7 | 5 | |||
| 9 | 8 | ||||
| 11 | 10 | 9 | 8 | ||
(b) Find the probability that
(i) Percy’s score is an even number (1)
(ii) Percy’s score is greater than 7 (1)
| Scheme | Marks | ||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B2 | ||||||||||||||||||||||||||||||
| (2) |
Notes
B2: All correct
(B1 for 5, 6, 7, 8 or 9 values completed correctly)
| Scheme | Marks |
|---|---|
(i) Answer: \(\dfrac{13}{20}\) | B1ft |
(ii) Answer: \(\dfrac{6}{20}\) | B1ft |
| (2) | |
| (4 marks) |
Notes
B1ft: oe 0.65 or 65%
ft from a completed table
B1ft: oe 0.3 or 30%
ft from a completed table
penalise incorrect notation only once
penalise the incorrect denominator only once (as long as denominator > 13 and is the same in b(i) and b(ii))