The possible flavours are vanilla (V), strawberry (S), chocolate (C) and mint (M).
The two scoops can be the same flavour or different flavours.
(a) List all the possible options for the two scoops. [2 marks]
(b) In one hour the shop sells 180 scoops of ice cream.
The number of scoops of each flavour is shown in the table.
Flavour
Vanilla
Strawberry
Chocolate
Mint
Number of scoops
45
75
50
10
Complete the pie chart to represent the data. [4 marks]
Mark scheme (a)
Answer
Mark
Comments
Exactly ten options VV VS VC VM SS SC SM CC CM MM or exactly sixteen options VV VS VC VM SV SS SC SM CV CS CC CM MV MS MC MM
B2
may be given as words B1 any six correct options from the sixteen options
Additional guidance
Both correct sixteen options listed and correct ten options listed
B2
Mark scheme (b)
Answer
Mark
Comments
Alternative method 1
\(360 \div 180\) or 2
M1
implied by a correct angle or implied by a correctly drawn angle in pie chart \(\pm 2^\circ\)
Any two of \(45 \times\) their 2 or \(90^\circ\) \(75 \times\) their 2 or \(150^\circ\) \(50 \times\) their 2 or \(100^\circ\) \(10 \times\) their 2 or \(20^\circ\)
M1dep
implied by any two correctly drawn angles in pie chart \(\pm 2^\circ\)
Pie chart with four sectors drawn, two of which are correctly drawn with angles from \(90^\circ\), \(150^\circ\), \(100^\circ\) and \(20^\circ\)
M1dep
\(\pm 2^\circ\) lines must be ruled
Fully correct pie chart and sectors labelled with flavours
A1
\(\pm 2^\circ\) lines must be ruled
Alternative method 2
\(45 \div 180 \times 100\) or 25% or \(75 \div 180 \times 100\) or \(41\dfrac{2}{3}\)% or 42% or \(50 \div 180 \times 100\) or \(27\dfrac{7}{9}\)% or 28% or \(10 \div 180 \times 100\) or \(5\dfrac{5}{9}\)% or 6%
M1
oe
Any two of \(45 \div 180 \times 360\) or \(90^\circ\) \(75 \div 180 \times 360\) or \(150^\circ\) \(50 \div 180 \times 360\) or \(100^\circ\) \(10 \div 180 \times 360\) or \(20^\circ\)
M1dep
implied by any two correctly drawn angles in pie chart \(\pm 2^\circ\)
Pie chart with four sectors drawn, two of which are correctly drawn with angles from \(90^\circ\), \(150^\circ\), \(100^\circ\) and \(20^\circ\)
M1dep
\(\pm 2^\circ\) lines must be ruled
Fully correct pie chart and sectors labelled with flavours
A1
\(\pm 2^\circ\) lines must be ruled
Additional guidance
All four sectors must be correctly labelled with letters or words for the accuracy mark
