12 a 8 kg = 8000 g M1 2 M1 for process of division to see how many batches of M 8000 ÷ 250 = 32 3 15 biscuits can be made with each ingredient 3 kg = 3000 g B1 B1 for 32, 35, 100 and 28 3000 ÷ 85 = 35 (to nearest whole number) 2 kg = 2000 g 2000 ÷ 20 = 100 7 kg = 7000 g 7000 ÷ 250 = 28 So the limiting value is the amount of icing sugar. Therefore she can make 24 × 28 = 672 biscuits. She can make 44 complete packs of 15 M1 M1 for correct identification of limiting value 672 ÷ 15 = 44.8 biscuits. 44 × = 33 A1 for correct cost of of biscuits 33 × £2.99 = £98.67 A1 b 44 33 = 11 discounted – £2.99 × 0.85 = £2.54 to 2 dp M1 for use of 0.85 multiplier 11 × 2.54 = £27.94 A1 for cao M1 Total sales A1 = £98.67 + £27.94 = £126.61 Total costs = £59 + £26 = £85 To calculate percentage profit: profit = = 0.489 529 412 M1 for division of total sales by total cost (ft) and percentage profit A1 for correct percentage with rounding M1 = 0.489 529 412 × 100% = 48.95% A1 49% profit to the nearest integer. 8 13 Price including VAT = £595 × 1.20 = £714 M1 2 M1 for process of multiplying by 1.2 to find cost with M With a 20% discount: £714 × 0.8 = £571.20 VAT £571.20 £595 = £23.80 M1 M1 for multiplying by 0.8 to find 20% reduced price (ft) – OR £595 × 0.8 = £476 He is overpaying by £23.80 M1 M1 for subtracting to find overpayment £476 × 1.2 = £571.20 Disagree. He would pay the shop more A1 A1 for demonstrating overpayment with explanation than he needs to. 4
12 a b 8 kg = 8000 g 8000 ÷ 250 = 32 3 kg = 3000 g 3000 ÷ 85 = 35 (to nearest whole number) 2 kg = 2000 g 2000 ÷ 20 = 100 7 kg = 7000 g 7000 ÷ 250 = 28 So the limiting value is the amount of icing sugar. Therefore she can make 24 × 28 = 672 biscuits. 672 ÷ 15 = 44.8 44 × = 33 33 × £2.99 = £98.67 44 – 33 = 11 discounted £2.99 × 0.85 = £2.54 to 2 dp 11 × 2.54 = £27.94 Total sales = £98.67 + £27.94 = £126.61 Total costs = £59 + £26 = £85 To calculate percentage profit: profit = = 0.489 529 412 and percentage profit = 0.489 529 412 × 100% = 48.95% She can make 44 complete packs of 15 biscuits. 49% profit to the nearest integer. M1 B1 M1 A1 M1 A1 M1 A1 2 3 M1 for process of division to see how many batches of 15 biscuits can be made with each ingredient B1 for 32, 35, 100 and 28 M1 for correct identification of limiting value A1 for correct cost of of biscuits M1 for use of 0.85 multiplier A1 for cao M1 for division of total sales by total cost (ft) A1 for correct percentage with rounding M 8 13 Price including VAT = £595 × 1.20 = £714 With a 20% discount: £714 × 0.8 = £571.20 £571.20 – £595 = £23.80 OR £595 × 0.8 = £476 £476 × 1.2 = £571.20 He is overpaying by £23.80 Disagree. He would pay the shop more than he needs to. M1 M1 M1 A1 2 M1 for process of multiplying by 1.2 to find cost with VAT M1 for multiplying by 0.8 to find 20% reduced price (ft) M1 for subtracting to find overpayment A1 for demonstrating overpayment with explanation M 4
Higher_Skills_Ratio_MarkScheme_AQA.docx