2 The pictogram shows information about the number of emails Sophie received on each of four days.
(a) On which of Monday, Tuesday, Wednesday or Thursday did Sophie receive the least number of emails? (1)
(b) Find the ratio of the number of emails Sophie received on Monday to the number of emails Sophie received on Tuesday. Give your ratio in its simplest form. (2)
On Friday, Sophie received 14 emails.
(c) Show this information on the pictogram. (1)
On Friday, 6 of the 14 emails Sophie received were from Kamil.
(d) Write 6 as a fraction of 14 Write your fraction in its simplest form. (2)
On Friday, Sophie received 14 emails, on Saturday she received 11 emails and on Sunday she received 6 emails.
(e) Draw a bar chart to show the number of emails Sophie received on each of Friday, Saturday and Sunday. Complete the frequency axis.(2)
Mark scheme (a)
Scheme
Marks
Wednesday
B1
(1)
Mark scheme (b)
Scheme
Marks
4 : 2.5 or 16 : 10 oe
M1
8 : 5
A1
(2)
Notes
A1: M1 A0 for 5 : 8
Mark scheme (c)
Scheme
Marks
3.5 “envelopes”
B1
(1)
Notes
B1: Accept for half an envelope
Mark scheme (d)
Scheme
Marks
\(\dfrac{6}{14}\)
M1
\(\dfrac{3}{7}\)
A1
(2)
Mark scheme (e)
Scheme
Marks
eg Heights of bars (cms): 7, 5.5, 3 or heights of 3.5, 2.75, 1.5 cms Answer: bars at correct heights and correct scale
B2
(2)
(8 marks)
Notes
B2: B2 for all bars at correct heights with a correct scale (at least one value, not contradicted. 0 implied) If not B2 then B1 for 1 error on heights or no scale, but with heights in correct proportion eg 7, 5.5, 3 cms
