1MA0 Higher June 2014 Paper 1 Q12
12 You can change temperatures from °F to °C by using the formula \[C = \frac{5(F - 32)}{9}\]
\(F\) is the temperature in °F.
\(C\) is the temperature in °C.
The minimum temperature in an elderly person’s home should be 20°C.
Mrs Smith is an elderly person.
The temperature in Mrs Smith’s home is 77°F.
*(a) Decide whether or not the temperature in Mrs Smith’s home is lower than the minimum temperature should be. (3)
(b) Make \(F\) the subject of the formula \[C = \frac{5(F - 32)}{9}\] (3)
| Answer | Mark | Notes |
|---|---|---|
| No, temp is 25°C | 3 | M1 for substitution of 77 into the RHS of the formula A1 for 25 cao or for 225/9 and 180/9 cao C1 (dep on M1) for conclusion (ft) following from working shown OR M1 for substitution of 20 into LHS of formula and correct process to find F A1 for 68 cao C1 (dep on M1) for conclusion (ft) following from working shown |
| Answer | Mark | Notes |
|---|---|---|
| \(F = \dfrac{9}{5}C + 32\) | 3 | M1 for expansion of the brackets (eg \(5 \times F - 5 \times 32\)) or an attempt to multiply both sides by 9, or divide both sides by 5 as the first step. M1 (dep) for a correct second step A1 for \(F = \dfrac{9}{5}C + 32\) oe |