Foundation November 2017 Paper 2 Q14

AQACurrent spec3 marksTime-Series

14 Chris sells lawnmowers.

The table shows the number he sold each quarter for three years.

	Quarter 1	Quarter 2	Quarter 3	Quarter 4
2016	17	64	50	5
2015	9	72	61	1
2014	19	58	53	2

(a) In which year did he sell the most lawnmowers?

You must show your working. [2 marks]

(b) He uses the table to decide the number of lawnmowers to stock each quarter.

At the start of which quarter should Chris stock the most lawnmowers?

Circle your answer. [1 mark]

Mark scheme (a)

Answer	Mark	Comments
Alternative method 1
Two of the three totals correct (2016 =) 136 (2015 =) 143 (2014 =) 132 or 17 + 64 + 50 + 5 and 9 + 72 + 61 + 1 and 19 + 58 + 53 + 2	M1	Totals may be seen by table Correct totals may be implied by means (2016 \(\rightarrow\) 34, 2015 \(\rightarrow\) 35.75, 2014 \(\rightarrow\) 33) Addition signs must be shown for horizontal addition but may be implied by a column of numbers in their working
136 and 143 and 132 and 2015 or 34 and 35.75 and 33 and 2015	A1	Totals may be seen by table
Alternative method 2
8 and –8 and –11 and 4 or –7 and –10 and 14 and 8 and –1 or 11	M1	Difference between 2016 and 2015 Difference between 2015 and 2014 Differences may be seen in table
–7 and 11 and 2015	A1	Differences may be seen in table

Differences may have consistently opposite signs for either comparison
Ignore totals for quarters shown
Allow Year 2 for 2015
136 and 143 and 132, answer 143	M1A0
136 and 143 and 132, answer 143 in 2015	M1A1