Foundation June 2018 Paper 1R Q27
27 A company makes cars.
In 2016, the company made 350 cars.
In the first 6 months of 2017, the company made 25 cars each month.
In the last 6 months of 2017, the company made 45 cars each month.
(a) Work out the percentage increase in the number of cars the company made from 2016 to 2017 (4)
The company’s income in 2017 was \(\$\)500 000 more than the company’s income in 2016
The company’s income in 2017 was 8% more than the company’s income in 2016
(b) Work out the company’s income in 2016 (3)
| Scheme | Marks |
|---|---|
| 6×25 + 6×45 (= 150 + 270 = 420) | M1 |
| “150” + “270” – 350 (= 70) or “420” – 350 | M1 |
| \(\dfrac{\text{``}{70}\text{''}}{350} \times 100\) | M1 |
| 20 | A1 |
| (4) |
Notes
M1: for 6×25 (=150) or 6×45 (=270)
M1: (dep on M2)
| Scheme | Marks |
|---|---|
| 6×25 + 6×45 (= 150 + 270 = 420) | M1 |
| \(\dfrac{\text{``}{420}\text{''}}{350} \times 100 = 120\) | M1 |
| “120” – 100 | M1 |
| 20 | A1 |
Notes
M1: for 6×25 (=150) or 6×45 (=270)
M1: (dep on M2)
| Scheme | Marks |
|---|---|
| 500 000 ÷ 8 (= 62 500) | M1 |
| 500 000 ÷ 8 × 100 | M1 |
| 6 250 000 | A1 |
| (3) | |
| (7 marks) |
Notes
M1: for a complete method