0580 P42 - Nov 2021 - Q1 - 14 marks
13072
Malena has 450 fruit trees in the ratio apple : pear : plum = 8 : 7 : 3.
(a(i)) Show that she has 200 apple trees. [2]
(a(ii)) Find the number of plum trees. [1]
(a(iii)) She wants 32% more pear trees. Find how many extra pear trees she needs. [2]
(a(iv)) Each apple tree produces 48.5 kg of apples of average mass 165 g. Find the total number from 200 trees, to the nearest 1000. [3]
(b(i)) Her land is valued at three million and seventy-five thousand dollars. Write this in figures. [1]
(b(ii)) Write the value in standard form. [1]
(c) Each plum tree produced 37.7 kg in 2020, 16% more than in 2019. Find its 2019 yield. [2]
(d) She invests \$1800 at 2.1% compound interest per year. Find its value after 15 years. [2]