Foundation November 2018 Paper 2 Q14
14.
(a)
Write the following numbers in order of size. Start with the smallest.
You must show all your working. [2]
56% \(\dfrac{139}{250}\) \(\dfrac{5}{9}\)
………… , ………… , …………
(b) Calculate 237% of 360. [2]
(c)
Lynn is looking at a towing guide to help her choose a new car.
| Safe Towing Guide | ||
|---|---|---|
| Safe | Acceptable | Dangerous |
| The total mass of the trailer is less than 85% of the mass of the car. | The total mass of the trailer is between 85% and 100% of the mass of the car. | The total mass of the trailer is over 100% of the mass of the car. |
The total mass of Lynn’s trailer is 1750 kg.
The car that Lynn would like to buy has a mass of 2015 kg.
Is it safe, acceptable or dangerous for this car to tow her trailer?
You must show all your working. [3]
Circle your conclusion.
Safe Acceptable Dangerous
| Scheme | Marks | Comments |
|---|---|---|
| Converting to a suitable form for comparison, e.g. \(\frac{5}{9}\) = 0.555, \(\frac{139}{250}\) = 0.556 and 56% = 0.560 or 55.5…% or 55.6% and 56% | M1 | Allow for at least 2 numbers in a comparable format. Alternative method using fractions: 1251/2250, 1250/2250 M1 |
| = \(\frac{5}{9}\), \(\frac{139}{250}\), 56% (or equivalent) | A1 | Provided no incorrect working seen |
| Scheme | Marks | Comments |
|---|---|---|
| 237 ÷ 100 x 360 | M1 | Alternative method: 0.37 x 360 + 360 + 360 M1 853.2 A1 |
| 853.2 | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{1750}{2015}\) (x 100) | M1 | |
| = 86.8 (%) | A1 | |
| The trailer is in the ACCEPTABLE range. | E1 | FT ‘their derived %’ dependent on M1 awarded. Alternative method: 0.85 x 2015 M1 = 1712.75 A1 So ACCEPTABLE. E1 dep on M1 |
| (7) |