Higher November 2020 Paper 5 Q4
4 Dora has the following number cards.
2 2 3 5 6
She takes a card at random, replaces the card and then takes a second card.
She adds the numbers on the two cards she has taken and records the total.
(a) Complete the following table to show all of her possible totals.
[1]
| First card | ||||||
|---|---|---|---|---|---|---|
| Total | 2 | 2 | 3 | 5 | 6 | |
| Second card | 2 | 4 | 4 | 5 | 7 | 8 |
| 2 | 4 | 4 | 5 | 8 | ||
| 3 | 5 | 5 | 8 | 9 | ||
| 5 | 7 | 8 | 10 | 11 | ||
| 6 | 8 | 8 | 9 | 11 | 12 | |
(b) Find the probability that her total is
(i) an even number, [2]
(ii) a multiple of 3 or 4. [2]
| Answer | Marks | Part marks and guidance | ||||||||||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Correctly completes table
| 1 | |||||||||||||||||||||||||||||||||||||||||||||||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) \(\frac{13}{25}\) oe | 2 | B1FT for their correct numerator B1 for fraction with denominator 25 | In (b)(i) and (ii), not ratio or words, eg \(\frac{13}{25}\), likely but not \(\frac{13}{25}\), unlikely isw cancelling/conversion to other forms FT numerator 12 + any evens in their (a) |
| (ii) \(\frac{14}{25}\) oe | 2 | FT their correct numerator / 25 B1FT for their correct numerator but denominator incorrect | FT numerator 13 + any multiples of 3 or 4 in their (a) |