Foundation January 2021 Paper 2 Q9
9 Grace has a fair spinner and a fair dice.
The spinner is 3-sided and can land on 6, 7 or 8
The dice can land on 1, 2, 3, 4, 5 or 6
Grace spins the spinner once and throws the dice once.
Grace subtracts the number that the dice lands on from the number that the spinner lands on to get her score.
(a) Complete the table to show all possible scores.
Eight of the scores have been done for you. (2)
Eight of the scores have been done for you. (2)
| Number on dice | |||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | ||
| Number on spinner | 6 | 5 | 4 | 3 | 2 | 1 | 0 |
| 7 | 4 | ||||||
| 8 | 6 | ||||||
Grace spins the spinner once and throws the dice once.
(b) Find the probability that her score is less than 6 (1)
(c) Find the probability that her score is an odd number. (1)
| Scheme | Marks | ||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B2 | ||||||||||||||||||||||||||||
| (2) |
Notes
B2: B2 for all scores completed correctly. B1 for 6, 7, 8 or 9 scores completed correctly
| Scheme | Marks |
|---|---|
| \(\dfrac{15}{18}\) | B1ft |
| (1) |
Notes
B1ft: oe (\(\dfrac{5}{6}\) or 0.83(33...) or 83.(33..)%)
ft from complete table
| Scheme | Marks |
|---|---|
| \(\dfrac{9}{18}\) | B1ft |
| (1) | |
| (4 marks) |
Notes
B1ft: oe Penalise incorrect notation once only
ft from complete table