Intermediate November 2016 Unit 1 Q5
5. Three red cards have the following numbers written on them.
| 3 | 6 | 9 |
Four green cards have the following numbers written on them.
| 1 | 2 | 3 | 4 |
In a game, the cards are turned face down.
A player chooses one red card and one green card at random.
The player’s score is the sum of the two numbers.
(a) Complete the following table. [1]
| Score | |||||
|---|---|---|---|---|---|
| Red card | 9 | ………… | 11 | ………… | ………… |
| 6 | ………… | 8 | ………… | ………… | |
| 3 | 4 | 5 | 6 | 7 | |
| 1 | 2 | 3 | 4 | ||
| Green card | |||||
(b) A player wins a prize if the score is more than 9.
Safira plays the game once. What is the probability that she wins a prize? [2]
Safira plays the game once. What is the probability that she wins a prize? [2]
(c) 60 people play the game once.
Approximately how many people would you expect to win a prize? [2]
Approximately how many people would you expect to win a prize? [2]
| Scheme | Marks | Comments | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Ribbon marking for 5(a), 5(b) and 5(c).
| B1 | All six entries correct. |
| Scheme | Marks | Comments |
|---|---|---|
| Ribbon marking for 5(a), 5(b) and 5(c). \(\dfrac{5}{12}\) | B2 | F.T. ‘their fully completed table’. Penalise −1 for only words (5 out of 12) or only ratio (5:12). B1 for x/12 if x < 12. B1 for 5/y if y > 5. |
| Scheme | Marks | Comments |
|---|---|---|
| Ribbon marking for 5(a), 5(b) and 5(c). \(\dfrac{5}{12} \times 60\) | M1 | F.T. ‘their 5/12’ (including e.g. ½, 50%, 50-50, evens) |
| = 25 | A1 | 25/60 OR 25:60 gets M1A0. 25 out of 60 gets M1A1. |
Corrected by Westie's Workshop
- The board's mark scheme printed “(including e,g, ½, 50%, 50-50, evens)”. Changed to “(including e.g. ½, 50%, 50-50, evens)” because commas were printed instead of full stops in “e.g.”.
Original: see the board's mark scheme PDF (link above).