Foundation November 2019 Paper 1 Q8
8 Plaza United are playing a football match away from home.
(a) 379 supporters are going to the match by coach.
Each coach seats 45 people.
Each coach seats 45 people.
What is the smallest number of coaches that will be needed? [2]
(b) In their last 50 matches, Plaza United have drawn 10 matches, lost 5 and won the rest.
Sam claims
The probability that Plaza United will win this match is 0.7.
(i) Show calculations to support Sam’s claim. [2]
(ii) Give one reason why Sam’s claim may not be reliable. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 9 | 2 | M1 for 379 ÷ 45 soi by 8.4... | Allow M1 for repeated addition or subtraction if method shown. If only numbers listed addition must reach 360 45, 90, 135, 180, 225, 270, 315, 360. subtraction must reach 19 334, 289, 244, 199, 154, 109, 64,19 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) Shows \(\dfrac{35}{50}\) [= 0.7] or \(\dfrac{15}{50} = 0.3\), \(1 - 0.3\) [= 0.7] | 2 | M1 for 35 Or M1 for \(\dfrac{10}{50} + \dfrac{5}{50}\) oe or \(\dfrac{15}{50}\) | Allow 35 ÷ 50 Allow 15 ÷ 50 |
| (ii) States or gives a reason why past games may not be representative/relevant to this game | 1 | eg Past opponents may be a different standard eg Past games may have been played at home eg Best players may now be injured | |
Appendix
Exemplar responses for Q8bii
| Response | Mark |
|---|---|
| Some of the players may be injured | 1 |
| They may have bought new players | 1 |
| They may be playing a better team than previously | 1 |
| Past performance may not predict the future | 1 |
| They may be playing a better team ( Doesn’t refer to change from past performance) | 0 |
| Plaza may have played more matches since Sam collected the data | 0 |