Foundation November 2024 Paper 2 Q12

EdexcelCurrent spec4 marksPercentages Ratio & Basic Proportion

12 In an orchard, there are 240 fruit trees.
There are only apple trees and pear trees such that

number of apple trees : number of pear trees = 5 : 3

64% of the apple trees produce cooking apples.

Work out the number of apple trees that produce cooking apples.

(4)

Mark scheme

Scheme

Marks

240 ÷ (5 + 3) (= 30)

0.64 × 5 (= 3.2) or
“0.36” × 5 + 3 (=4.8)

0.64 × 240 (= 153.6)
allow 153 or 154

5 × “30” (= 150)
[may see 150 : 90]

240 ÷ (5 + 3) (= 30) or
\(\dfrac{\text{“}3.2\text{”}}{8}\left(= \dfrac{2}{5}\right)\)
\(\dfrac{\text{“}4.8\text{”}}{8}\left(= \dfrac{3}{5}\right)\)
“3.2” or “4.8” must be seen previously

“153.6” ÷ (5 + 3) (= 19.2)

0.64 × “150”
or
1.5 × 64

150 – 150 × 0.36
(150 – 54)

“3.2” × “30”
or
\(\dfrac{2}{5} \times 240\)
or
\(240 - \dfrac{3}{5} \times 240\)

“19.2” × 5

Correct answer scores full marks (unless from obvious incorrect working)
Answer: 96

(4)

(4 marks)

Notes

M1: For a fully correct method

all figures must come from correct working

A1: cao 150 – 96 (96 must be seen) is M3

(SCB2 if no other marks awarded award for 95.625 or 96.25)

M2 for \(\dfrac{5}{8} \times 240\;(= 150)\)