Foundation June 2022 Paper 2 Q11

OCRFoundationCurrent spec7 marksPie Charts

11 Some students were asked how they travel to school.
Each student gave one answer.
The pie chart shows the proportion who travel by bus, by train or walk.

Pie chart with sectors Bus 160°, Train 60° and Walk 20°; the rest of the circle is blank

(a) All of the remaining students travel to school either by bike or by car.
The ratio of the number who travel by bike to the number who travel by car is 2 : 3.

Complete the pie chart.
You must show your working. [6]

(b) Which way of travelling to school is the mode? [1]

Mark scheme (a)

Answer	Marks	Part marks and guidance
Correct, labelled pie chart with correct working	6		“correct working” requires at least M1M1 and ruled line If there are labelled angles, mark the method that leads to the angles If angles are not shown mark worst method
		M2 for \(360 - (160 + 60 + 20)\) oe or M1 for \(160 + 60 + 20\) AND	May be implied by 120 May be implied by 240
		M1 for \(\dfrac{2}{5} \times\) their 120 oe A1 for 48 or M1 for \(\dfrac{3}{5} \times\) their 120 oe A1 for 72 AND	Mark to the candidate’s advantage Their \(120 \lt 360\) 48 implies M1A1 72 implies M1A1
		B1 for ruled line at \(48^\circ\) B1 for their smaller sector labelled “bike” and larger sector labelled “car”	Tolerance \(\pm 2^\circ\) only if correct working seen.