Higher January 2022 Paper 1 Q5
5 Jenny has six cards.
Each card has a whole number written on it so that
the smallest number is 5
the largest number is 24
the median of the six numbers is 14
the mode of the six numbers is 8
Jenny arranges her cards so that the numbers are in order of size.
| 5 | 24 |
(a) For the remaining four cards, write on each dotted line a number that could be on the card. (3)
A basketball team plays 6 games.
After playing 5 games, the team has a mean score of 21 points per game.
After playing 6 games, the team has a mean score of 23 points per game.
(b) Work out the number of points the team scored in its 6th game. (3)
| Scheme | Marks |
|---|---|
| (5), 8, 8, 20, \(x\), (24) | B3 |
| (3) |
Notes
B3: for (5), 8, 8, 20, \(x\), (24) where \(x = 21\) or 22 or 23
(B2 for (5), 8, 8, 20, \(x\), (24) where \(x\) is blank or any value other than 21, 22 or 23)
(B1 for a list with a median of 14 or a mode of 8 or the 3rd and 4th cards having a sum of 28 (ignoring other cards))
| Scheme | Marks |
|---|---|
| eg 5 × 21 (= 105) or 6 × 23 (= 138) | M1 |
| eg 6 × 23 – 5 × 21 | M1 |
| 33 | A1 |
| (3) | |
| (6 marks) |