At the start of the maze you can turn left or right.
45 children turn left.
75 people in total turn left.
(a) Complete the frequency tree. [4 marks]
(b) What fraction of the children turn left?
Give your answer in its simplest form. [2 marks]
Mark scheme (a)
Answer
Mark
Comments
80 children and 40 adults
B1
45 left (children) and 35 right (children)
B1
30 left (adults)
B1ft
ft \(75 -\) their 45, where their 45 is an integer \(\geqslant 0\) and answer an integer \(\geqslant 0\)
10 right (adults)
B1ft
ft their \(40 -\) their 30, where both integers are \(\geqslant 0\) and answer an integer \(\geqslant 0\)
Additional guidance
Use of relative frequency or probability for an answer is B0 for that answer
Ignore working outside the frequency tree
Mark scheme (b)
Answer
Mark
Comments
\(\dfrac{9}{16}\)
B2ft
ft their 45 and/or ft their 80 B1ft \(\dfrac{\text{their } 45}{\text{their } 80}\) not fully simplified or correct simplification of their fraction, using numbers from their tree
Additional guidance
B2ft can only be awarded if their numbers can be simplified, otherwise B1ft
Do not ignore further work for B2 after correct answer seen \(\dfrac{9}{16} = \dfrac{3}{4}\)
