On Monday, Siôn sold three times as many ice creams as cold drinks. He sold 50 cold drinks on Monday. Siôn sells ice creams for £1.80 each.
Calculate the amount of money Siôn took from selling ice creams on Monday. [4]
(b) Siôn keeps ice cream in a freezer in his van. Every hour he checks the temperature in his freezer. He turns on his freezer at 8 a.m. The readings he takes from 8 a.m. to 3 p.m. are listed below.
10°C 2°C –5°C –12°C –12°C –12°C –13°C –14°C
(i) Calculate the mean of these temperatures. [3]
(ii) At 4 p.m. the temperature in Siôn’s freezer was recorded as –16°C. Calculate the mean of the temperatures recorded in Siôn’s freezer from 8 a.m. to 4 p.m. [2]
(c) Siôn parks his ice cream van on the beach, as shown on the map below.
Scale: 1 cm represents 20 metres
On screen this diagram may not be shown at actual size. To measure it, use the question paper (PDF) printed at 100%.
(i) How far is Siôn’s ice cream van from the lifeguard station? [2]
…………… metres
(ii) Complete the following statement.
‘The bearing of the lifeguard station from Siôn’s ice cream van is ……………°.’ [1]
Mark scheme (a)
Scheme
Marks
Comments
50 × 3 × 1.8(0) or 50 × 3 × 180
M2
M1 for any of the following:
50 × 3
50 × 1.8(0)
50 × 180
3 × 1.8(0)
3 × 180
(£) 270 or 27000(p)
A2
For A2, if units are given, they must be correct, otherwise A1 for 270p or £27000
Ignoring units, A1 for any of the following:
(50 × 3 =) 150
(50 × 1.8(0) =) 90
(50 × 180 =) 9000
(3 × 1.8(0) =) 5.4(0)
(3 × 180 =) 540
Mark scheme (b)
Scheme
Marks
Comments
(i) (Mean of 8 temperatures is -56 ÷ 8 =) -7 (°C)
B3
Must not be from incorrect working, other than allowing from 56 ÷ 8
B2 for any one of the following:
-56 ÷ 8
56 ÷ 8 = 7
B1 for any one of the following:
(sum of temperatures) -56
(sum of temperatures) 56
sight of ‘their sum of temperatures’ ÷ 8, provided the summation is not from a sum involving all positive integers or all negative integers, with or without a negative sign inserted. If ‘÷ 8’ is not seen, it may be implied from ‘their sum’ and ‘their mean’ (rounded or truncated)
(ii) (-56 + -16) ÷ 9 or -72 ÷ 9
M1
FT ‘their -56’ from (b)(i)
-8 (°C)
A1
On FT allow a rounded or truncated answer Allow a correctly rounded or truncated answer, to 1d.p. for ‘(‘their -56’ + -16) ÷ 9’ to imply M1 A1
Mark scheme (c)
Scheme
Marks
Comments
(i) 20 × (8.6 (± 0.2))
M1
172 (± 4 m)
A1
Do not award from sight of an incorrect evaluation of ‘their 8.6’ × 20
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