Foundation November 2019 Paper 1 Q4
4 A theme park asked 900 people to choose their favourite activity from a list of five.
The pictogram shows the results for four of the activities.
(a)
(i) How many people chose entertainment? [1]
(ii) How many more people chose water rides than family rides? [2]
(iii) All 900 people chose one of the five activities.
Complete the pictogram for children’s rides. [3]
(b) Will plays a game at the theme park.
There are 20 cards numbered from 1 to 20.
Will takes a card at random.
He wins if the card he chooses shows a prime number.
Work out the probability that Will wins.
Give your answer as a fraction in its simplest form. [4]
(c) A family ticket for the theme park costs £68.
If the ticket is bought online it costs 15% less.
If the ticket is bought online it costs 15% less.
How much does it cost to buy a family ticket online? [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 200 | 1 | ||
| (ii) 150 | 2 | B1 for 275 or 125 | |
| (iii) 50 represented on the pictogram | 3 | B2 for 50 as answer Or M1 for 250 + 125 + 200 + 275 soi by 850 M1 for 900 – their 850 | Horizontal or vertical Their 850 must come from addition of 4 numbers. Their 850 must be less than 900 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{2}{5}\) nfww | 4 | B3 for \(\dfrac{8}{20}\) oe nfww or B2 for identifying 2,3,5,7,11,13,17,19 as being prime (and no non-primes identified) or B1 for identifying 2,3,5,7,11,13,17,19 identified as being prime with no more than 2 errors and M1 for \(\dfrac{\textit{their number of primes}}{20}\) | e.g. 1, 2, 3, 5, 7,11,13,17,19 1, 2, 5, 7,11, 13,17,19 (errors; 1 included, 3 omitted) 3, 5, 7,11,13,17,19 (omission of 2) Their number of primes must be less than 20 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 57.8[0] | 3 | M2 for 0.85 × 68 oe or M1 for 0.15 × 68 implied by 10.2[0] | 68 – (0.15 × 68) If non calculator method, it must be a full method. |