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Functional Question Foundation (Algebra 7). For the week beginning …. A shopkeeper uses this formula to calculate the total cost when customers pay by monthly instalments. C = d + 24 × m C is the total cost in pounds. d is the deposit in pounds.
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Functional Question Foundation (Algebra 7) For the week beginning ….
A shopkeeper uses this formula to calculate the total cost when customers pay by monthly instalments. C = d + 24 × m C is the total cost in pounds. d is the deposit in pounds. m is the monthly instalment in pounds. (a) The deposit for a wardrobe is £16. The monthly payments are £10. What is the total cost? (2) (b) How many years does it take to finish paying for goods using this formula? Answer ...................................... years (1) (c) The total cost of a sofa is £600. The deposit is £120. Work out the value of the monthly instalment. Answer £ ............................................ (3) (Total 6 marks)
(a) 24 × 10 or 240 seen 16 + 24 × 10 M1 – Method mark 256 A1 - Accuracy marksare awarded when following on from a correct method (b) 2 (years) B1 - Marks awarded independent of method (c) 600 = 120 + 24m or 600 – 120 See 480 M1 – Method mark 480 = 24m or their 480 ÷ 24 M1 – Method mark 20 A1 - Accuracy marksare awarded when following on from a correct method [6]
Common Mistakes – what did the examiners say? Responses to part (a) were poor with the vast majority of candidates giving 400 from an incorrect order of operations. Only the more able candidates were able to interpret the 24 monthly instalments as 2 years in part (b). In part (c) candidates again carried out the operations in an incorrect order.