4MA0 Foundation June 2012 Paper 1 Q5
5 Here is some information from a weather forecast website for Chicago for one day in January.
| Probability of snow | 85% |
| Maximum temperature | −2°C |
| Minimum temperature | −9°C |
| Sunrise | 7 05 am |
| Sunset | 5 02 pm |
(a) Write 85% as a decimal. (1)
(b) Write 85% as a fraction.
Give your fraction in its simplest form. (2)
Give your fraction in its simplest form. (2)
(c) How many degrees higher is the maximum temperature than the minimum temperature? (2)
(d) Write 5 02 pm as a time using the 24-hour clock. (1)
(e) Work out the length of time between 7 05 am and 5 02 pm.
Give your answer in hours and minutes. (3)
Give your answer in hours and minutes. (3)
(f) The probability that it will snow is 85%.
Work out the probability that it will not snow. (1)
Work out the probability that it will not snow. (1)
| Scheme | Marks |
|---|---|
| 0.85 | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(\dfrac{85}{100}\) | M1 |
| \(\dfrac{17}{20}\) | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| −2 − (−9) or −7 | M1 |
| 7 | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| 17 02 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| eg 55 min + 9 h + 2 min 9 h + 55 min + 2 min 10 h − 3 min | M2 |
| 9 (hours) 57 (minutes) | A1 |
| (3) |
Notes
M2: M1 for each of the following up to a maximum of 2 marks
1. 17 02 − 7 05 but not 7 05 − 5 02
2. An attempt to make some use of a counting on method (for example, a list of 3 or more relevant times may be taken as sufficient evidence of this)
3. 9 on the hours answer line
4. 57 on the minutes answer line
SC If no method marks scored, award B1 for 10 h 3 mins
A1: cao
| Scheme | Marks |
|---|---|
| 15% | B1 |
| (1) | |
| (Total 10 marks) |
Notes
B1: Also accept 0.15 oe
(corrected from the printed mark scheme: the answer is printed as 15, without the % sign)