(ii) How many gold medals were awarded? You must show all your working. [3]
Mark scheme (a)
Scheme
Marks
Comments
Use of 1 million as 1 000 000
B1
May be seen at any stage of working or implied by a correct answer Accept from sight of 2.2 million written as 2 200 000 Allow as implied from one of the following:
sight of an appropriate stage of working, e.g. 1% as 22 000 or 10% as 220 000 or 50% as 1 100 000
an answer of 40 000 provided not from 0.2 × 2 million
0.02 × 2.2 (× 1 000 000) or (1 000 000 ×) 2.2 ÷ 50 or equivalent
M1
The method must be for the intention of finding 2% of 2.2 million, not any other percentage May be implied, from a full method, from sight of
0.02 × ‘digits 22 with place value error’
when working not shown, only non-zero digits of 44 in their answers
Award M0 for 1.02 × 2.2 or 0.98 × 2.2 or 0.2 × 2.2
(£) 44 000 or (£) 44,000
A1
CAO. Answer space takes precedence Do not accept (£)0.044 (million) or 44.000 (A0) unless 44000 seen in working (A1)
Mark scheme (b)
Scheme
Marks
Comments
(i) \(\dfrac{115}{360}\)
B1
(ii) Gold 20° ±2°
B1
Check the diagram
1800 × \(\dfrac{20\ (\pm 2)}{360}\) or 5 × (20 (±2)) or equivalent
M1
Also implies previous B1 FT for any value used for ‘20’ provided ≠180° and < 360°) for M1 only (including use of 160°)
100 (gold medals)
A1
A correct answer from using 20°±2° in the inclusive range 90 to 110 (gold medals), not from premature approximation (20/360 = 0.05, then 0.05 × 1800 = 90 B1 M1 A0)
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