Foundation November 2021 Paper 3 Q8
8 Here are four number cards.
| 2 | 5 | 6 | 8 |
(a) Use each card once to make this calculation correct. [1 mark]
| + | − | − | = 1 |
(b) Two of the cards are chosen at random.
List all the possible pairs of cards.
Two have been done for you. [2 marks]
| First card | Second card |
|---|---|
| 2 | 5 |
| 5 | 2 |
(c) Write down the probability that the first card is an even number. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(5 + 6 - 2 - 8\) or \(5 + 6 - 8 - 2\) or \(6 + 5 - 2 - 8\) or \(6 + 5 - 8 - 2\) | B1 |
| Answer | Mark | Comments |
|---|---|---|
| All ten correct pairs, ie 2, 6 6, 2 2, 8 8, 2 5, 6 6, 5 5, 8 8, 5 6, 8 8, 6 | B2 | B1 at least 5 correct pairs |
Additional guidance
Condone duplication of 2, 5 and 5, 2 for B2
Condone duplications for B1 with at least 5 different correct pairs
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{3}{4}\) or \(\dfrac{9}{12}\) | B1ft | oe fraction, decimal or percentage correct answer or ft their table in (b) |
Additional guidance
| Answer may come from considering the four cards or from their table | |
| Ignore attempts to convert a correct fraction | |
| Ignore probability words | |
| 9 out of 12 or 9 in 12 together with a correct answer | B1 |
| 9 out of 12 or 9 in 12 alone | B0 |
| 9 : 12 with a correct answer | B0 |