Unit 1 : Statistics and Probability (Calculator) Foundation Tier Paper C Time : 1 hour 15 minutes

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1 Name Class For Edexcel GCSE Mathematics Unit 1 : Statistics and Probability (Calculator) Foundation Tier Paper C Time : 1 hour 15 minutes You must have: Ruler, protractor, compasses, pen, pencil, eraser, calculator. Total Marks Instructions and Information Write your name in the box at the top of the page. Answer all the questions in the spaces provided. The total mark for this paper is 60. The marks for each question are shown in brackets. Calculators may be used. If your calculator does not have a button, take the value of to be unless the question instructs otherwise. Questions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed. Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end. Written by Shaun Armstrong Only to be copied for use in the purchaser's school or college 2012 EFC Unit 1 Page 1 Churchill Maths Limited Turn over

2 GCSE Mathematics Formulae: Foundation Tier You must not write on this formulae page. a Area of trapezium = 1 (a + b)h 2 h b Volume of prism = area of cross section length cross section length 2012 EFC Unit 1 Page 2 Churchill Maths Limited

3 Answer ALL questions. Write your answers in the spaces provided. You must write down all stages in your working. 1 Write down the reading on each scale km/h km/h ºC ºC (Total for Question 1 is 2 marks) 2012 EFC Unit 1 Page 3 Churchill Maths Limited Turn over

4 2 Russell records the number of birds at his bird table each morning. The pictogram shows this information for Monday and Tuesday. Monday Tuesday Wednesday Thursday Friday Key: represents 2 birds Write down the number of birds at the table on Monday. There were 6 birds at the table on Wednesday. Show this on the pictogram. The number of birds at the table on Thursday was 50% of the number on Monday. The total number of birds for these five days was 30. (c) Complete the pictogram. (Total for Question 2 is 4 marks) 2012 EFC Unit 1 Page 4 Churchill Maths Limited

5 3 The table shows the number of Merit Stars awarded to pupils in Class 7P and Class 7Q during the first four weeks of term. Week 1 Week 2 Week 3 Week 4 Class 7P Class 7Q Complete the bar chart below showing this information. Number of Merit Stars Class 7P Class 7Q Week 1 Week 2 Week 3 Week 4 Class 7P was awarded more Merit Stars than Class 7Q over these four weeks. How many more Merit Stars did Class 7P get? (Total for Question 3 is 4 marks) 2012 EFC Unit 1 Page 5 Churchill Maths Limited Turn over

6 4 Greg is writing a questionnaire for students with smartphones. This is one of his questions. How many apps do you buy? Tick one box 1 or 2 a few lots Write down two reasons why this is not a good question. First reason Second reason Greg also wants to find out the highest price students had paid for an app. Design a question that Greg could use. You should include response boxes. (Total for Question 4 is 4 marks) 2012 EFC Unit 1 Page 6 Churchill Maths Limited

7 5 At a children's party 200 cups of drink are poured. Here are the numbers for each type of drink. Cola 70 Lemonade 45 Squash 60 Juice 25 Jean says that less than 1 4 of the cups are lemonade. Is she correct? Explain why. What percentage of the cups are squash? (c) What fraction of the cups are juice? Give your answer in its simplest form. (Total for Question 5 is 4 marks) 2012 EFC Unit 1 Page 7 Churchill Maths Limited Turn over

8 6 A publisher offered a school library a set of books in one of its four main subject areas. Each pupil on the school council had a vote and these are the results. Famous People Sport Current Afffairs Sport Sport Famous People Sport Sport Famous People Lifestyle Lifestyle Famous People Sport Famous People Sport Current Afffairs Lifestyle Famous People Complete this table summarising the results. Section Sport Famous People Lifestyle Current Affairs Tally Frequency Represent the results on a pie chart. (3) (Total for Question 6 is 5 marks) 2012 EFC Unit 1 Page 8 Churchill Maths Limited

9 Channel 1 Channel pm News 6.00 pm The Challenge 6.25 pm Local News 6.30 pm Your Stories 6.30 pm Chef's Call 7.00 pm Film: Attrition 7.00 pm News 7.30 pm Film: Bolero 8.45 pm Comedy Greats 9.30 pm News 9.50 pm After Hours Part of a TV listing is shown above. How long does the programme Chef's Call last? Find the ratio minutes length of the film Attrition : length of the film Bolero Give your answer in its simplest form. (3) (Total for Question 7 is 4 marks) 2012 EFC Unit 1 Page 9 Churchill Maths Limited Turn over

10 8 A van driver makes deliveries to customers. One week, she records the distance she drives and her average speed for each delivery. The scatter graph shows this information. Average speed (km/h) Distance (km) What type of correlation does this scatter graph show? Suggest a reason for this type of correlation. The next week, she drives 60 km in making a delivery. (c) Use the graph to estimate her average speed. Show how you obtain your answer. km/h (Total for Question 8 is 4 marks) 2012 EFC Unit 1 Page 10 Churchill Maths Limited

11 9 Andy plays tennis. Each serve he makes can be an ace, start a rally or be a fault. The table shows the probability of an ace or a fault. Result Ace Rally Fault Probability Work out the probability that his next serve starts a rally. Edwin is a goalkeeper. When a penalty is taken the probability that he saves it is 0.1 During a practice, Edwin will face 60 penalties. Work out an estimate for the number of saves he makes. (Total for Question 9 is 4 marks) 2012 EFC Unit 1 Page 11 Churchill Maths Limited Turn over

12 10 A group of six year-olds were each asked to count backwards from 99. Each child was stopped when they made a mistake. Tara recorded the last number they said correctly. So, if a child said ninety-nine, ninety-eight, ninety-six Tara wrote down 98. Here are her results Draw an ordered stem and leaf diagram to show her results. (3) Find the median of the last correct number said by the children. (Total for Question 10 is 5 marks) 2012 EFC Unit 1 Page 12 Churchill Maths Limited

13 11 The table gives information about the weight of some eggs. Weight (w g) Number of Eggs 40 < w < w < w < w < w 90 4 In each part, tick the correct box. The lowest weight could be 40 g. True False Cannot tell Two of the eggs weigh more than 85 g. True False Cannot tell (c) The range of the weights of the eggs is less than 50 g. True False Cannot tell (Total for Question 11 is 3 marks) 2012 EFC Unit 1 Page 13 Churchill Maths Limited Turn over

14 *12 John is comparing the records of two javelin throwers, Tessa and Fatima. He looks at how many times they threw over 60 metres in each of their 10 best years. For Tessa's results he calculated a range of 8 and a mean of 9.4 Here are his results for Fatima Use this information to compare the performances of Tessa and Fatima. (Total for Question 12 is 5 marks) 2012 EFC Unit 1 Page 14 Churchill Maths Limited

15 13 Shane is going to invest 500. He is considering two options and has to decide which is best. With both options he has to withdraw the full amount at one time. He then receives his original 500 and a bonus. OPTION 1 BONUS 1.20 for each month the money has been invested. OPTION 2 BONUS 1.00 for each month the money has been invested for the first three years for each month after the first three years. Which option is best if he invests for 2 years? Which option is best if he invests for 4 years? Justify your answer. (3) (Total for Question 13 is 4 marks) 2012 EFC Unit 1 Page 15 Churchill Maths Limited Turn over

16 *14 There are 100 people on a course at an outdoor activity centre. A quarter of them have stayed at the centre before. On the first day, people on the course can choose to do climbing or canoeing. Out of 45 people who choose climbing, a third have stayed at the centre before. Work out the fraction of people who are staying at the centre for the first time who choose canoeing. (Total for Question 14 is 4 marks) 2012 EFC Unit 1 Page 16 Churchill Maths Limited

17 15 A and B are fair 5-sided spinners. Each side of the spinners is black, grey or white. Spinner A Spinner B Both A and B are spun once. Work out the probability of both spinners landing on the same colour. You can use this grid if you want to. (Total for Question 15 is 4 marks) TOTAL FOR PAPER IS 60 MARKS 2012 EFC Unit 1 Page 17 Churchill Maths Limited Turn over