Foundation November 2018 Paper 3 Q19

19 A forest has 6500 trees.

The trees are beech or maple.

number of beech : number of maple = 1.6 : 1

(a) What fraction of the trees are beech? [2 marks]

(b) Write \(\quad\) number of beech : number of maple \(\quad\) in the form \(\quad 1 : n\) [1 mark]

Mark scheme (a)

Answer	Mark	Comments
Alternative method 1
\(\dfrac{8}{5}\) and \(\dfrac{5}{5}\) or any correct ratio using integers or \(\dfrac{1.6}{1.6 + 1}\) or \(\dfrac{1.6}{2.6}\)	M1	oe fractions with common denominators eg 16 : 10
\(\dfrac{8}{13}\)	A1	oe fraction eg \(\dfrac{4000}{6500}\)
Alternative method 2
\(6500 \div (1.6 + 1)\) or 2500 or \(6500 \div (1.6 + 1) \times 1.6\) or 4000 or \(\dfrac{2500}{6500}\) or \(\dfrac{5}{13}\) or \(\dfrac{1}{2.6}\)	M1	oe
\(\dfrac{8}{13}\)	A1	oe fraction eg \(\dfrac{4000}{6500}\)