Foundation November 2024 Paper 1 Q14
14 Kate has a fair triangular spinner and a fair square spinner.
The triangular spinner can land on 2 or 4 or 6
The square spinner can land on 1 or 2 or 3 or 4
Kate spins each spinner once.
She adds the number the triangular spinner lands on to the number the square spinner lands on to get her score.
(a) Complete the table to show all possible scores.
Four of the scores have been done for you.
(2)
Four of the scores have been done for you.
| Square spinner | |||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | ||
| Triangular spinner | 2 | 3 | 4 | ||
| 4 | 7 | ||||
| 6 | 10 | ||||
Kate spins each spinner once.
(b) Find the probability that her score is 9 or less. (2)
| Scheme | Marks | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: For all correct values | B2 | ||||||||||||
| (2) |
Notes
B2: for all correct values
(B1 for 6 or 7 correct values)
| Scheme | Marks |
|---|---|
| M1 | |
Correct answer scores full marks (unless from obvious incorrect working) Answer: \(\dfrac{11}{12}\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for \(\dfrac{m}{12}\) where \(m \lt 12\) or \(\dfrac{11}{n}\) where \(n \gt 11\) or for 11:12
A1: oe 0.91(666…) or 91(.666…)% truncated or rounded