Unit 1 : Statistics and Probability (Calculator) Foundation Tier Paper D 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 D 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 EFD 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 EFD 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 This pattern is made up of black and white squares. Some of the black squares have a white circle in them. Some of the white squares have a black circle in them. One of the squares is chosen at random. Use one of these words to complete each of the sentences below. Impossible Unlikely Fifty-fifty Likely Certain (b) It is that the chosen square has a circle in it. It is that the chosen square is white. (c) It is that the chosen square is in a row which contains at least one circle. (Total for Question 1 is 3 marks) 2012 EFD Unit 1 Page 3 Churchill Maths Limited Turn over

4 2 There are 160 people at a concert. 90% of the audience bought their tickets in advance. (b) Write 90% as a fraction. How many people did not buy their tickets in advance? 3 4 of the audience bought a drink in the interval. (c) Work out 3 4 of 160. (Total for Question 2 is 3 marks) 2012 EFD Unit 1 Page 4 Churchill Maths Limited

5 3 The graph shows the number of complaints made at a restaurant over six months. Number of Complaints Jan Feb Mar Apr May Jun How many complaints were made in January? (b) Which month had the largest rise in complaints compared to the previous month? (c) How many complaints were made in total during these six months? (Total for Question 3 is 3 marks) 2012 EFD Unit 1 Page 5 Churchill Maths Limited Turn over

6 4 Abi and Bethan are playing a game. Abi has these cards. star circle square Bethan has these cards. circle spiral triangle Abi picks one of her cards at random. Then Bethan picks one of her cards at random. Write down all the possible outcomes in the table below. Two have been done for you. (2) Abi Star Star Bethan Circle Spiral 2012 EFD Unit 1 Page 6 Churchill Maths Limited

7 (b) Write down the probability that (i) (ii) the two cards have the same picture, neither of the cards have a picture of a circle. (Total for Question 4 is 4 marks) 5 Here is part of a bus timetable. Service No Porthcawl Newton Bridgend Cowbridge St. Nicholas Cardiff Bronwen lives in Porthcawl. She wants to get to Cowbridge by 4 p.m. What is the latest time at which she can catch a bus from Porthcawl? (b) Work out the mean journey time from Bridgend to Cardiff for the buses in this timetable. (3) minutes (Total for Question 5 is 4 marks) 2012 EFD Unit 1 Page 7 Churchill Maths Limited Turn over

8 6 Hashmat keeps a tally of the different types of mail he receives one week. Here are his results. Parcel Letter Magazine Postcard Junk Mail How many more letters than parcels did Hashmat receive? *(b) Draw a suitable chart or diagram to represent Hashmat's results. (4) (Total for Question 6 is 5 marks) 2012 EFD Unit 1 Page 8 Churchill Maths Limited

9 In a game, the arrow on the wheel above is spun. When the arrow stops, the player wins the amount it is pointing to. The arrow has the same chance of stopping on each of the sections. A player spins the arrow once. Which amount is the player least likely to win? (b) What is the probability that the player wins 1? The player is twice as likely to win X as they are to win 20. (c) What is the value of X? X = (Total for Question 7 is 3 marks) 2012 EFD Unit 1 Page 9 Churchill Maths Limited Turn over

10 8 Kevin wants to find out how much money pupils spend in the school canteen each day. Design a suitable data collection sheet that he could use to record the information. (Total for Question 8 is 3 marks) 2012 EFD Unit 1 Page 10 Churchill Maths Limited

11 9 Here is a list of ingredients for making 4 individual chocolate mousses. 100 g chocolate 50 g sugar 300 ml double cream 1 egg white How much sugar is needed to make 2 mousses? (b) Maram has a 125 g bar of chocolate. She has plenty of the other ingredients. g Work out the largest number of mousses that she can make. (2) (Total for Question 9 is 3 marks) 2012 EFD Unit 1 Page 11 Churchill Maths Limited Turn over

12 10 In a game, plastic pigs are thrown like dice. A player wins points for the positions the pigs land in. On a website, Frank reads that the probability of a pig landing on its back is 0.2 Frank throws a pig 20 times. Work out how many times Frank expects the pig to land on its back. (2) The pig lands on its back once in Frank's 20 throws. Frank thinks that his pig must be different to the ones used by the website. *(b) Describe how Frank could find out if he is correct. (2) (Total for Question 10 is 4 marks) 2012 EFD Unit 1 Page 12 Churchill Maths Limited

13 11 20 people were asked to draw an angle of between 0º and 90º. This stem and leaf diagram shows the sizes of the angles drawn, correct to the nearest degree Key: 5 1 represents 51º How many people drew an angle of more than 60º? (b) Find the median size of the angles. (2) º Kinza says The range of angle sizes is only about 60% as big as it could have been. (c) Is Kinza correct? Show your working. (3) (Total for Question 11 is 6 marks) 2012 EFD Unit 1 Page 13 Churchill Maths Limited Turn over

14 12 A nurse recorded the reason for 120 people visiting Accident and Emergency. This pie chart shows some of her results. Other 84º 132º Minor Injury Severe Pain What was the most common reason for visiting Accident and Emergency? (b) Work out how many people visited Accident and Emergency with severe pain? (2) The part of the pie chart in grey has not been completed yet. It consists of sections for Major Injury and Breathing difficulties. Twice as many people visited with a Major Injury as with Breathing difficulties. (c) Work out the angle for Major Injury. (3) º (Total for Question 12 is 6 marks) 2012 EFD Unit 1 Page 14 Churchill Maths Limited

15 13 Wizneyland A World of Wonder A One-day Pass makes everything inside FREE! Adults 25 Children 40 With every three children, one adult comes FREE! 10% discount when you book a week in advance The Jones family go to Wizneyland for a day. They get one-day passes for 2 adults and 4 children. They book a week in advance. Work out the total cost. (Total for Question 13 is 4 marks) 2012 EFD Unit 1 Page 15 Churchill Maths Limited Turn over

16 14 The scatter graph shows some information about 10 houses sold in one area. The floor area is the total for all the rooms and the price is in thousands of pounds. All of the houses have two floors Price ( '000s) Floor Area (m 2 ) What fraction of these houses had a price of less than 140,000? (b) Two of the houses sold for the same price. Work out the difference between the floor areas of these two houses. (2) m EFD Unit 1 Page 16 Churchill Maths Limited

17 Stuart's house is in the same area and has two floors. The downstairs floor area is 79 m 2. The upstairs floor area is about 70% of the downstairs floor area. (c) Estimate the price that Stuart could sell his house for. Show clearly how you make your estimate. (3) (Total for Question 14 is 6 marks) 15 Gemma writes down five numbers. The median of the five numbers is 17. Gemma writes down a sixth number. The median of the six numbers is 18. Write down what the first five numbers and the sixth number could be. First five numbers,,,, Sixth number (Total for Question 15 is 3 marks) TOTAL FOR PAPER IS 60 MARKS 2012 EFD Unit 1 Page 17 Churchill Maths Limited Turn over