Foundation November 2024 Paper 3 Q16
16 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 | ||||||||||||||||||||||||||||||
Notes
The answers are shown in bold in the completed table; the printed mark scheme lists only the missing totals.| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{5}{12}\) | 2 | \(\dfrac{5}{12}\) 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 \(\dfrac{5}{12}\) seen or answer \(\dfrac{7}{16}\) | Their table may be complete or incomplete eg \(\dfrac{4}{7}\) after NR in (a) scores 2 Ignore attempts to change form once correct answer seen Do not accept ratio or words |