Foundation November 2020 Paper 2R Q14
14 Here are two fair spinners.
Chanthira spins each spinner once.
She adds together the number that spinner A lands on and the number that spinner B lands on to find the score.
(a) Complete the table to show all possible scores.
Three scores have been done for you.
(2)
Three scores have been done for you.
| Spinner B | |||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | ||
| Spinner A | 1 | 2 | 3 | ||
| 2 | 3 | ||||
| 3 | |||||
(b) Find the probability that the score will be 4 or less. (2)
Chanthira now spins both spinners together 84 times.
(c) Find an estimate for the number of times that spinner A and spinner B land on the same number. (2)
| Scheme | Marks | ||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Correct values | B2 | ||||||||||||||||||||||||||||
| (2) | |||||||||||||||||||||||||||||
Notes
B2: for all 9 correct values
(B1 5 or 6 or 7 or 8 correct values)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{6}{12}\) | A1ft |
| (2) |
Notes
M1: for \(\dfrac{6}{m}\) where \(m \gt 6\) or \(\dfrac{n}{12}\) where \(n \lt 12\)
A1ft: \(\dfrac{\text{“}6\text{”}}{12}\) oe ft their table.
isw incorrect cancelling.
| Scheme | Marks |
|---|---|
| \(\dfrac{\text{‘}3\text{’}}{12} \times 84\) | M1 |
| 21 | A1 |
| (2) | |
| (6 marks) |
Notes
M1: allow “a fraction” × 84
fraction cannot be zero or improper
A1: cao