Questions 1.


(a)


A survey of car sales is taken in a town during a given year. The results are shown in the table below.


Make of car Number of car sales


Volkswagen Hyundai Toyota Skoda Nissan


750 400 800 350 500


(i) Identify the type of data collected in this survey.


(ii) Draw any chart of your choice to represent this data. Justify your choice of chart.


(iii) Calculate the mean and range of the numerical data above.


(b) The total sales of Volkswagen cars is €14 555 000. Calculate the average price paid for a Volkwagen car.


(c) (i)


If a car is picked at random from the cars sold in this year, what is the probability that it will be a Hyundai?


(ii) Hyundai cars are available for purchase in Ireland in a range of seven diff erent models. Each model is available as a diesel, petrol or electric fuel type and in fi ve diff erent colour options. How many diff erent versions of Hyundai cars are available for purchase in Ireland?


(d) Angie borrows €15 000 at the rate of 8% per annum compound interest to help her buy a car.


How much will Angie owe at the end of three years if she makes no repayments in the meantime?


2. A Maths test has 25 questions. Four points are given for each correct answer one point is deducted for each incorrect answer. Keith answered all questions and scored 35.


Keith answers x questions correctly and y incorrectly.


(a) (i) Write two equations to represent the above information.


(ii) Using your answer from part (i) or otherwise, fi nd how many questions Keith answered incorrectly.


(b) In Keith’s class, 14 students are girls and 11 are boys. A student is selected at random from the class. What is the probability of picking a boy?


(c) Keith adds up the points from all the tests he has done in the term. Keith fi nds that he has a total of 167 points since the start of term. He wants to have at least 300 points by the end of the term. He estimates that he will score 35 points on each test for the rest of the term.


(i) Write an inequality that represents Keith’s situation.


(ii) How many more tests will Keith have to do, assuming he scores 35 points per test, to achieve at least 300 points? Justify your answer.


3. (a)


Tom invested €4 800 in the bank and the money earned 4% interest in the fi rst year. He added €1 000 to the investment at the end of the fi rst year and the whole investment earned 3% interest in the second year.


(i) Find the amount of Tom’s investment at the end of the second year.


(ii) Tom buys a new car with the money at the end of the second year. The car costs €3 500. How much of the investment will Tom have left after buying the car?


(iii) The car’s cost of €3 500 includes VAT at 22%. Tom uses his car for work, so his company says they will pay for the VAT on the car. How much will the company give Tom to cover the cost of the VAT? Give your answer to the nearest euro.


558 Linking Thinking 1


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