37 is more than 1 and less than 2, since = 1 C1 2 C1 for explaining the integer range for H and = 2. So 1 + is more than 2 and less than 3. C1 for explaining how this relates to the 2 and 3 metres C1 2 38 a Earth diameter = 1.2756 × 104 km M1 2 M1 for halving diameter H So radius = 6.378 × 103 A1 A1 for correct radius Population = 7.185004 × 109 M1 M1 for applying correct formula Surface area sphere = 4πr2 Surface area of the earth =4 x x(6.378 x 103)2 π M1 M1 for using correct formula with correct data = 5.1118593 x 108 km2 A1 cao not rounded Per person M1 Correct division of surface area by population = =0.07114622 km2 0.07 km2 A1 A1 correct answer rounded to 1 or 2 sf C1 C1 for a clear communication of solution b It reduces the total surface area by 30% C2 C2 for a clear explanation of how the percentage of the total. Multiply the area per person makes a difference by 0.3. The revised answer is 0.021 km2. 10
37 is more than 1 and less than 2, since = 1 and = 2. So 1 + is more than 2 and less than 3. C1 C1 2 C1 for explaining the integer range for C1 for explaining how this relates to the 2 and 3 metres H 2 38 a b Earth diameter = 1.2756 × 104 km So radius = 6.378 × 103 Population = 7.185004 × 109 Surface area sphere = 4πr2 Surface area of the earth =4 x π x(6.378 x 103)2 = 5.1118593 x 108 km2 Per person = =0.07114622 km2 0.07 km2 It reduces the total surface area by 30% of the total. Multiply the area per person by 0.3. The revised answer is 0.021 km2. M1 A1 M1 M1 A1 M1 A1 C1 C2 2 M1 for halving diameter A1 for correct radius M1 for applying correct formula M1 for using correct formula with correct data cao not rounded Correct division of surface area by population A1 correct answer rounded to 1 or 2 sf C1 for a clear communication of solution C2 for a clear explanation of how the percentage makes a difference H 10
Higher_Skills_Number_MarkScheme_Edexcel.docx