Higher June 2022 Paper 1 Q6
6 Asha bought an apartment.
The table gives information about the value of apartments, in euros, and the annual service charge band.
| Value (\(x\) euros) | Service charge band |
|---|---|
| \(x \geqslant 700\,000\) | A |
| \(600\,000 \leqslant x \lt 700\,000\) | B |
| \(500\,000 \leqslant x \lt 600\,000\) | C |
| \(400\,000 \leqslant x \lt 500\,000\) | D |
| \(0 \lt x \lt 400\,000\) | E |
In 2021, the value of Asha’s apartment was 634 400 euros.
The value of Asha’s apartment had increased by 4% from its value in 2020
(a) Has the annual service charge band changed for Asha’s apartment?
Show your working clearly. (3)
Show your working clearly. (3)
Pam bought a boat.
In each year after Pam bought the boat, the value of the boat depreciated by 15%
(b) Work out the total percentage by which the value of the boat had depreciated by the end of the second year after Pam bought the boat. (3)
| Scheme | Marks |
|---|---|
1 + 0.04 (= 1.04) or 100(%) + 4(%) (= 104(%)) or \(\dfrac{634\,400}{104}\) (= 6100) oe | M1 |
| 634 400 ÷ “1.04” or 634 400 ÷ “104” × 100 or 634 400 × 100 ÷ “104” oe | M1 |
| Working required Answer: No and 610 000 | A1 |
| (3) |
Notes
A1: dep on M2 for no and 610 000 seen oe
E.g. Still (band) B and 610 000 oe
| Scheme | Marks |
|---|---|
“0.85” × “0.85” (= 0.7225) oe or “0.85” – (“0.85” × 0.15) (= 0.7225) or \(\dfrac{\text{``}{85}\text{''} \times \text{``}{85}\text{''}}{100}\) (= 72.25) oe or [0.85 and 85 must come from correct working] | M1 |
| 1 – “0.7225” or 0.2775 or 100 – “72.25” | M1 |
| 27.75 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: allow use of their amount
e.g.
200 × “0.85” × “0.85” (= 144.5)
M1: e.g. \(\dfrac{200 - \text{``}{144.5}\text{''}}{200}\)
(×100)
A1: oe allow 27.8 or 28
M2 for 15 + (0.15 × “85”)
or
15 + 12.75