Higher June 2023 Paper 2 Q8
8 Charlotte buys a painting for \(\$\)680
The value of the painting increases by 4% each year.
Work out the value of the painting at the end of 3 years.
Give your answer correct to the nearest \(\$\)
(3)
| Scheme | Marks |
|---|---|
| for 0.04 × 680 oe (= 27.2) or 1.04 × 680 oe (= 707.2) | M1 |
| 1.04 × “707.2” (= 735.488) oe and 1.04 × “735.488” (= 764.90752) oe or 0.04 × (680 + “27.2”) = 0.04 × ”707.2” = 28.288 0.04 × ”(707.2 + 28.288)” = 0.04 × ”735.488” = 29.41952 “735.488” + “29.41952” = 764.90752…. | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 765 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: For finding 4% or 104% of the value
M1: for completing the method
A1: or 764 – 765
(if a correct answer is seen in working and then rounded incorrectly, award full marks)
SC: if no other marks gained award M1 for
1.12 × 680 oe or 761.6(0) ( or 762) or
0.12 × 680 oe or 81.6 ( or 82) or
0.963 × 680 oe or 601.62… (or 602)
(accept (1 + 0.04) as equivalent to 1.04 throughout but not (1 + 4%))
or M2 for 680 × 1.043
or 680 × 1.044
or 795.50…..