AQA Core Maths



AQA level 3 Certificate in Mathematical Studies2019 Data sheet Questions - Version CSection AArthur earns an annual salary of ?47,500 gross. Calculate his net weekly pay.Bill has 6 months to save up for his wedding. He puts ?80 a month into a savings account that earns 0.5% compound interest per month. The spreadsheet below shows the 1st 3 months.What is the formula in A5?What is the formula in C5?What is the formula in D5?Find the AER for his investment.Section BLast year Charlie earned a gross annual salary of ?17,500 per year. He has been offered an increase of ?500, his concerned that he will not be able to afford his student loan repayment as he is now over the threshold to start paying it back. He started university in 1998.Explain why after a wage increase of only ?500 he will not be worse off after starting to pay back his student loan.Calculate his annual student loan repayment.Charlie has a standard personal allowance, pays tax and national insurance as normal. He also pays 10% of his gross income into a personal insurance policy. What is his net monthly take-home pay before and after his pay rise?What is his net pay rise?Section CThe M3 is a motorway that runs from Sunbury-on-Thames, Surrey, to Southampton, Hampshire, a distance of approximately 59 miles. The highways agency are replacing the surface as they wish to turn it into a smart motorway. Mostly it has 3 lanes and a hard shoulder in each direction.Given that they motorway costs ?50 per square metre to resurface as a smart motorway calculate the cost of turning the M3 into a smart motorway.Give one reason why your answer to part a may be inaccurate.Paper 1Paper 22115312734244025362139243423352225224124Section DIn the week before their number measure exam my students achieved the following grades. Paper 1 was non-calculator and was out of 50, paper 2 was calculator and out of 30. Comment on the assessment scores for number and measure.How could you make the comparisons more representitiive?A cat food manufacturer stated that 8/10 Cats prefer whiskers. Estimate how many cats in the UK like whiskers?George asked all 12 of the people in his department at work how much they spent on fireworks in the last year. He and his brother are looking to set up a business selling fireworks, and want to know whether or not it would be ment on the suitability of his sample.What sampling method should he have used and how could he have made it more representative?428625591185Molly measured the hand spans, in cm, of 200 schoolchildren in their 1st week at school. The results are summarised in the table below, split into the 6 available sizes of glovesWhat type of data is this? Represent this data in a:Cumulative frequency curveHistogram box plotIn order to buy a class set of 30 gloves Molly did the following calculations: She noticed that this gave 31 gloves. Give reasons as to why these calculations may not be appropriate for ordering gloves for her classes.What would you advise her to order? The gloves purchased from another company fit up to a 21cm hand span what is the probability that the wont fit? state any assumptions. ................
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