Probability Of A Spinner Assignment

3255 words - 14 pages

InstructionsUse black ink or ball-point pen.Fill in the boxes at the top of this page with your name, centre number and candidate number.Answer all questions.Answer the questions in the spaces provided - there may be more space than you need.Calculators may be used.If your calculator does not have a π button, take the value of π to be 3.142 unless the question instructs otherwise.InformationThe total mark for this paper is 100The marks for each question are shown in brackets - use this as a guide as to how much time to spend on each question.Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed.AdviceRead each quest ...view middle of the document...

(Total for Question 2 is 3 marks)___________________________________________________________________________3. Simon went for a cycle ride.He left home at 2 p.m.The travel graph represents part of Simon's cycle ride.At 3 p.m. Simon stopped for a rest.(a) How many minutes did he rest?.......................................... minutes(1)(b) How far was Simon from home at 5 p.m.?.......................................... km(1)At 5 p.m. Simon stopped for 30 minutes.Then he cycled home at a steady speed.It took him 1 hour 30 minutes to get home.(c) Complete the travel graph.(2)(Total for Question 3 is 4 marks)___________________________________________________________________________4. Here is a four-sided spinner.The spinner is biased.The table shows the probabilities that the spinner will land on 1 or on 3
Number

1

2

3

4

Probability

0.2

0.1

The probability that the spinner will land on 2 is the same as the probability that the spinner will land on 4(a) Work out the probability that the spinner will land on 4..........................................(3)Shunya is going to spin the spinner 200 times.(b) Work out an estimate for the number of times the spinner will land on 3..........................................(2)(Total for Question 4 is 5 marks)___________________________________________________________________________5.Jon has a flower garden in the shape of a circle.The diameter of the garden is 5 metres.Jon wants to put fencing around the edge of the garden.The fencing costs £1.80 per metre.Work out the total cost of the fencing.£..........................................(Total for Question 5 is 3 marks)___________________________________________________________________________6. Mr Watkins needs to buy some oil for his central heating.Mr Watkins can put up to 1500 litres of oil in his oil tank.There are already 850 litres of oil in the tank.Mr Watkins is going to fill the tank with oil.The price of oil is 67.2p per litre.Mr Watkins gets 5% off the price of the oil.How much does Mr Watkins pay for the oil he needs to buy?£..........................................(Total for Question 6 is 5 marks)___________________________________________________________________________7. Peter goes for a walk.He walks 15 miles in 6 hours.(a) Work out Peter's average speed.Give your answer in miles per hour........................................... mph(2)5 miles = 8 km.Sunita says that Peter walked more than 20 km.*(b) Is Sunita right?You must show all your working.(2)(Total for Question 7 is 4 marks)___________________________________________________________________________8. The equationx3 - 3x = 15has a solution between 2 and 3Use a trial and improvement method to find this solution.Give your answer correct to 1 decimal place.You must show all your working.x = ..........................................(Total for Question 8 is 4 marks)___________________________________________________________________________9. Here i...

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