Higher November 2024 Paper 6 Q1
1 Sasha has these two sets of number cards.
One card is taken at random from each set.
Sasha adds the numbers on the two cards to get a total.
(a) Complete the table to show all the possible totals.
| Set A | |||||
|---|---|---|---|---|---|
| Total | 1 | 2 | 3 | 4 | |
| Set B | 8 | 10 | 11 | 12 | |
| 9 | 11 | 13 | |||
| 10 | 11 | 12 | |||
[2]
(b) Find the probability that the total is a prime number.
Give your answer as a fraction. [2]
Give your answer as a fraction. [2]
| Answer | Marks | Part marks and guidance | |||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2 | B1 for 3 or 4 correct | |||||||||||||||||||||||||||||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{5}{12}\) | 2 | \(\frac{5}{12}\) or FT their table B1FT for their correct numerator B1FT for their correct denominator If 0 scored, SC1 for answer only rounding to 0.42 or 42% without \(\frac{5}{12}\) seen or answer \(\frac{7}{16}\) | Their table may be complete or incomplete eg \(\frac{4}{7}\) after NR in (a) scores 2 Ignore attempts to change form once correct answer seen Do not accept ratio or words |