AQA Core Maths – Level 3 Certificate in Mathematical Studies.



Section A – Use Income Tax and National Insurance 2018-19 and Student Loans on the Paper 1 Data SheetCedric earns an annual salary of ?47 000 gross. He has an annual tax allowance of ?11?850 and makes National Insurance contributions.Calculate his net monthly pay.Cedric saves 6% of his gross monthly pay, rounded to the nearest ?10, into a savings each month.The account pays 0.2% compound interest per month.Draw a “spreadsheet” to find out how much he will have saved in one year.Find the AER for his investment.Section B – Use Student loans on the Paper 1 Data SheetDeena earns a gross annual salary of ?38 500. She started university in September 2010.Calculate her annual student loan repayment.Deena has a standard personal allowance, pays National Insurance and makes a 10% contribution of her gross pay to a personal pension.Calculate her weekly take home pay when tax, National Insurance, pension contributions and student loan repayments have been deducted.Section C – Use Great Britain’s motorways on the Paper 1 Data SheetThe M25 is the 188 km motorway that orbits London. Mostly it has four lanes and a hard shoulder in each direction.Given that motorway costs ?70 per square metre to build, calculate the cost of constructing the M25.Suggest one reason why your answer to part a may be inaccurate.Section DTen students did Maths and English pare these sets of assessment scores.Maths77806268737666785562English68826566717870775465The UK is just as far north as Canada and Russia, yet the climate is much warmer – we don’t have polar bears roaming around in winter.One major reason for this as the warm ocean current, called the Gulf Stream, flowing from Florida, across the Atlantic to Northern Europe.Estimate how much warm water flows past the British Isles in the Gulf Stream every hour.The table below shows the amount of time that 18-44 year olds in the UK spend playing computer games in a typical week.Length of time, t minutesPercentage of people who played computer games10 ≤ t < 601960 ≤ t < 12022120 ≤ t < 30031300 ≤ t < 60014600 ≤ t < 9006900 ≤ t < 15008Estimate the average length of time spent playing computer games in a typical week.Sarah plays computer games for half an hour a day. She says that most people play more than her. By drawing a suitable diagram find if she is correct.One out of every fourteen people in the UK is expected to get flu in a given year.How many people would you expect to get flu in a given year?Make clear all your assumptions and calculations and give your answer to an appropriate level of accuracy.Emma suggests that to calculate the number of people catching flu every month you should divide the previous answer to by twelve.Is Emma correct? Explain why.Here are two schemes for investing ?3500 for 3 years.Scheme A?5.35 interest each monthScheme B2.5% interest each yearWhich scheme gives biggest return?You must show all your working. ................
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