Mathematical Literacy Grade 12 IEB Paper 1 2019 Question Paper

Downloaded from hlayiso.com TOTAL MARKS NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2019 MATHEMATICAL LITERACY: PAPER I EXAMINATION NUMBER Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of: • 30 pages that include 2 pages at the back for extra calculations or rough work. • 5 questions 2. Please check that your question paper is complete. 3. Answer ALL FIVE questions. 4. Answer questions in the space provided on this paper and hand it in at the end of the examination session. 5. A non-graphical, non-programmable calculator may be used. 6. ALL necessary calculations must be clearly shown. 7. Units of measurement must be included where applicable. 8. It is in your own interest to write legibly and to present your work neatly. 9. Maps and diagrams are not necessarily drawn to scale. 1 2 3 4 5 Total Question Marker Mod. Marker Mod. Marker Mod. Marker Mod. Marker Mod. Marker Mod. Mark Signature Total 49 18 30 24 29 150 IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 2 of 30 QUESTION 1 1.1 Global coffee brand Starbucks officially launched in South Africa with its first store opening in Rosebank, Johannesburg, on Thursday, 21 April 2016. The examiner enjoys coffee and was interested in comparing the cost of coffee at popular places. The table below compares Starbucks' coffee prices to those from other popular South African coffee shops/restaurants in April 2016. Starbucks pricing vs competitors (April 2016) Company Americano Caffè Latte Cappuccino Espresso Starbucks (RSA) R38 R33 R27–R33 R17–R20 Vida e Caffè – R26 R20–R26 R15–R20 Seattle Coffee R26 R29 R21–R29 R16–R18 Mugg & Bean R21 R25 R20–R26 R15 Wimpy – R20 R19–R25 R13–R17 Fego R21 R23 R21–R33 R16–R20 Europa R20 R24 R21–R25 R17–R21 [Resource: <https://businesstech.co.za>] 1.1.1 (a) Starbucks had already been open for 10 full days before the examiner went there. What was the date on the 11th day, which is when the examiner went there? (2) (b) What day of the week was it? (2) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 3 of 30 1.1.2 Calculate the difference in price between a Starbucks Americano and a Europa Americano. (2) 1.1.3 Calculate the percentage by which a Starbucks Americano is more expensive than a Europa Americano. Round your answer to two decimal places. (3) 1.1.4 What is the average cost of a Caffè Latte in South Africa? (3) 1.1.5 The inflation rate from 2015 to 2019 is given in the table below: Inflation rate compared to previous year 2018 to 2019 5,27% 2017 to 2018 4,78% 2016 to 2017 5,27% 2015 to 2016 6,34% (a) What is the modal inflation rate over the given four years? (2) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 4 of 30 (b) Calculate the price of a Seattle Americano in 2018 if it cost R26 in 2016. (4) 1.2 Eight years ago (2011) the average cup of coffee cost $3,00 in Australia. The diagram below illustrates the costs incurred for a $3,00 cup of coffee. [Resource: <http://malaysiafinance.blogspot.com>] 1.2.1 State the highest cost incurred for a $3 cup of coffee. (2) 1.2.2 Write, in its simplest ratio form, the cost of coffee beans to milk. (2) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 5 of 30 1.2.3 What percentage of the $3 was spent on the actual coffee beans? (2) 1.2.4 Calculate the profit (in dollars) that would have been made if 1 200 cups of coffee were sold. (2) 1.2.5 Determine, in rand, the profit calculated in Question 1.2.4, if the exchange rate in 2011 was 1 ZAR = 0,13301 AUD. (2) 1.3 In 2011 a home-brewed cup of coffee cost $0,50 to make. Complete the sentence by calculating the missing number: In 2011, in Australia, you would have paid _________ times more for a shop- bought cup of coffee compared to a home-brewed cup of coffee. (2) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 6 of 30 1.4 After having done the research on coffee for this question, the examiner decided to purchase a coffee machine. The slip is included below. Study the slip carefully and answer the questions that follow: CLICKS CLUBCARD CALL 0860 254 257 WELCOME TO GARDEN ROUTE MALL K/B ESPRESSO MAKER R1 299,00 1 BALANCE DUE R1 299,00 Debit card R1 299,00 CHANGE R 0,00 TOTAL BEFORE VAT R A TOTAL AFTER VAT R1 299,00 TAX-CODE 15% VAT With Clubcard you could have earned 259 points CASHIER NAME: LUNGISA C0018 #8673 14:26:30 28DEC2018 THANK YOU FOR SHOPPING AT CLICKS 1.4.1 At which store was the coffee machine purchased? (2) 1.4.2 State the selling price of the coffee machine. (2) 1.4.3 Calculate the price of the coffee machine, excluding VAT. (3) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 7 of 30 1.4.4 If clubcard holders were to receive a 25% discount on the selling price, calculate how much they would have paid for the coffee machine. (3) 1.5 The examiner purchased roasted coffee beans from Slow-Roasted Coffee Shop & Roastery. The credit card slip is shown below: SLOW-ROASTED COFFEE 31-12-2018 09:35:24 V: 0200 R: 20171017 CUSTOMER COPY (**APPROVED**) Credit card purchase R180,00 Thank you 1.5.1 The examiner purchased two 250 g bags of coffee beans. What was the cost per bag? (2) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 8 of 30 1.5.2 Determine the cost per kilogram of coffee beans at Slow-Roasted Coffee Shop & Roastery. (2) 1.5.3 The cost price of coffee is USD 0,08 per ounce. Use the conversion table below to answer the following questions. Conversion 1 pound = 16 ounces 1 pound ≈ 0,454 kilograms (a) Determine how many ounces, to the nearest whole number, there are in one kilogram. (3) (b) Hence, determine the cost of one kilogram of coffee in USD. (2) [49] IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 9 of 30 QUESTION 2 2.1 Leonard's girlfriend, Stephani, was flying back to Cape Town from Vienna. Leonard decided to track the flight on the internet. A screenshot of all the flights that were in the air at the same time is included below. Note: Stephani's plane is circled. Study this image and answer the questions that follow: Note: SCHED  Scheduled ACT  Actual time EST  Estimated time CET  Central European Time 2.1.1 What time was Stephani's flight scheduled to take off? (2) 2.1.2 If the flight only took off at 10:41 CET, for how long was the flight delayed? (2) 2.1.3 What is the total distance of the flight (in miles)? (2) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 10 of 30 2.1.4 Leonard visited www.travelandleisure.com/airlines-airports/number-of-planes- in-air while doing some research and read the following: "Aviation data companies like FlightAware keep track of all (or at least most) of the aircraft in our skies. And according to them, in the past year there was an average of 9 728 planes — carrying 1 270 406 people – in the sky at any given time". If there were twice as many people in the sky at any given time, how many people would it be? Write your answer in words. (2) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 11 of 30 2.2 An aeroplane flies at a height of 10 050 m above sea level and a submarine dives to a depth of 6 km below sea level. 10 050 m 6 km 2.2.1 What is the distance between the aeroplane and the submarine in metres? (3) 2.2.2 On the axis given above, clearly indicate, using the letter A, where a small aeroplane flying at a height of 9 843 feet would be, if 1 foot = 0,3048 metres. Show all the necessary conversion calculations in the space provided below. (3) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 12 of 30 2.3 Stephani landed safely at Cape Town International Airport at 23:06. Below is a map of the airport drawn to a scale of 1:5 000. [Resources: <https://capetown-airport.co.za/airport/airportparking/parkingmap>] 2.3.1 What is the general direction from P5 to Domestic Arrivals? (2) 2.3.2 The length of the building, P1, is 54 mm. Using the given scale, determine the actual length of the building in metres. (2) [18] IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 13 of 30 QUESTION 3 3.1 Mina is a baker who specialises in baking wedding cakes. The most popular cake she bakes is a carrot cake with cream cheese frosting. Study the recipe given below and answer the questions that follow: Prep time 20 minutes Cook time 1 hour Servings 12 Calories 464 kcal Ingredients Carrot Cake • 2 cups (400 g) granulated sugar • 2¼ cups finely grated carrots • 1 cup each of chopped walnuts & raisins • ½ cup crushed pineapple • 1½ tsp. salt • 2 tsp. baking soda • ¼ tsp. nutmeg • 2 tsp. ground cinnamon • 2¾ cup (360 g) cake flour • 1 tsp. pure vanilla extract • 3 large eggs, at room temperature • 1¼ cup (250 g) vegetable oil Cream Cheese Frosting • 8 ounces cream cheese, softened • ½ cup salted butter • 4 cups powder sugar • 1 tsp. vanilla extract Instructions Carrot Cake 1. Heat the oven to 350° F. 2. Prepare two 8-inch round baking pans. 3. Beat the sugar, oil, vanilla, and eggs in a mixer until it is light yellow, about 3 minutes. 4. In a separate bowl, sift together flour, cinnamon, nutmeg, baking soda, and salt and mix on low speed; slowly and gently add in the dry ingredients. 5. Fold in raisins, nuts, carrots, and pineapple. 6. Divide the batter equally between the pans. Bake for 60 minutes or until a toothpick comes out nearly clean. A few crumbs are what you want for a MOIST cake! 7. Allow the cakes to cool completely on a wire rack – this will take 25 minutes. Cream Cheese Frosting 1. ONCE THE CAKE HAS COOLED COMPLETELY, place room-temperature butter, cream cheese, and vanilla into mixer and blend for 1 minute on medium. 2. Add powder sugar, one cup at a time, until frosting is light and creamy. Whip cream cheese frosting for 3 minutes or until light and fluffy. 3. Cover cake in frosting – this takes 12 minutes. IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 14 of 30 3.1.1 How long will it take to prepare and bake the cake? (2) 3.1.2 Read the "Instructions" carefully and determine at what time Mina will finish baking and frosting a cake if she started preparing at 09:30. (4) 3.1.3 Study the given Fahrenheit oven dial below. By how many degrees (°F) does the dial need to be turned to reach the required temperature to bake the cake? (2) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 15 of 30 3.1.4 Mina's oven works in degrees Celsius. Help her convert 350° F to the nearest 10° C, by using the following formula: 5 =°C ( 350°F − 32 ) 9 (2) 3.1.5 Mina uses the measuring jug shown below. ml (a) What is the capacity of the measuring jug in litres? (2) (b) One gram of cake flour equals 2,36 millilitres. Indicate on the measuring jug, by drawing a clear line labelled with the letter B, where Mina would measure the amount of flour needed to make the cake. (3) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 16 of 30 3.2 Mina has three round baking pans in her kitchen, each with a diameter as shown below: C 15 cm B 20 cm A 23 cm 3.2.1 The recipe requires Mina to use a pan with a diameter of eight inches. Determine, with calculations, which pan (A, B or C) she must use, if one inch = 2,54 cm. (3) 3.2.2 Calculate the volume of the baking pan chosen in Question 3.2.1, if the pan has a height of 6 cm. = Volume of a cylinder Area of the base × H Where: H = height of the baking pan (3) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 17 of 30 3.2.3 If Mina used a square-based baking tin with the volume as calculated in Question 3.2.2 and same height as given above, calculate the length (to the nearest whole number) of the sides of the baking tin used. = L2 × H Volume of a square-based prism Where: L = length of the side of the square base H = height of the baking pan (4) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 18 of 30 3.3 Once the cake is baked, cooled and iced, Mina puts each cake in a box. The net of the box, not drawn to scale, is given below. 10 cm 22 cm Net of the box: 10 cm 22 cm base lid 3.3.1 Calculate the length and width of the net of the box. (3) 3.3.2 Calculate the total amount of cardboard needed to make this box. (2) [30] IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 19 of 30 QUESTION 4 4.1 William Shakespeare (April 26, 1564–April 23, 1616) is considered by many to be the greatest writer of the English language. He wrote 154 sonnets, 38 plays (divided into three main groups: comedy, history, and tragedy), and four long narrative poems. This information is presented in the pie chart below: Shakespeare's works [Resource: <http://blog.wolfram.com>] IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 20 of 30 4.1.1 Represent the data as a bar graph on the grid below. Shakespeare's works 160 150 140 130 120 110 Number of works 100 90 80 70 60 50 40 30 20 10 0 Sonnets Histories Tragedies Long poems Comedies (3) 4.1.2 How many artistic pieces (sonnets, plays and poems) did Shakespeare write altogether? (2) 4.1.3 Determine what percentage of his works, rounded to the nearest 10%, consists of sonnets. (3) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 21 of 30 4.1.4 Calculate the size, in degrees, of the sector representing "comedies". (2) 4.2 There are many phrases we use in English today that we owe to Shakespeare. Phrases like: "heart of gold", "good riddance", and "so-so". Counting the letters in these three phrases, determine the probability of counting the letter "o". Write your answer in simplified fraction form. (3) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 22 of 30 4.3 Study a snippet of an infographic on Shakespeare and answer the questions that follow: LONGEST PLAYS BY NUMBER SHORTEST PLAYS BY NUMBER OF WORDS OF WORDS TITLE WORD COUNT TITLE WORD COUNT Antony and A Midsummer 1 361 605 Cleopatra Night's Dream Othello 1 309 King John 621 Troilus and 1 301 Richard II 636 Cressida Hamlet 1 250 Titus Andronicus 662 Commedy of Coriolanus 1 240 664 errors SHAKESPEARE'S 10 MOST TALKATIVE Shakespeare CHARACTERS CHARACTER NUMBER OF LINES Falstaff Henry V 471 377 created Hamlet Duke of Gloucester 358 285 1 380 characters, Othello 274 1 221 Iago Antony 272 253 of whom had Richard III Timon 246 210 speaking parts! Cleopatra 204 [Resource: <www.nosweatshakespeare.com>] 4.3.1 What is the number of words in the longest Shakespearian play? (2) 4.3.2 If the minimum number of words spoken in a Shakespearian play is 605 words, calculate the difference between the number of words spoken in the longest and shortest Shakespearian plays. (2) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 23 of 30 4.3.3 Of the 1 380 characters created by Shakespeare, how many did not have speaking parts? (2) 4.3.4 Refer to the table listing Shakespeare's 10 most talkative characters and determine: (a) the mean number of lines spoken. (3) (b) which characters are within the 75th percentile of Shakespeare's most talkative characters. (2) [24] IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 24 of 30 QUESTION 5 5.1 Wakanda is a fictional country, created by Marvel Comics, located in sub-Saharan Africa. It is home to the superhero Black Panther. Wakanda first appeared in Fantastic Four #52 (July 1966), and was created by Stan Lee and Jack Kirby. In the Marvel Comic Universe, Wakanda is located just north of Lake Turkana, at a point bordering Kenya, Ethiopia, Uganda, and South Sudan. If the map distance between Lodwar and Finchawa measured 11,3 cm, then determine, using the bar scale, the actual distance between these two cities. (3) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 25 of 30 5.2 The graph below indicates the most anticipated movies of 2018. Most anticipated movies of 2018 Index of the 2018 releases that generated the most digital content engagement between Nov. 21, 2016–Dec. 21, 2017 [Resource: <www.cnbc.com>] 5.2.1 Which movie was the third most anticipated movie of 2018? (2) 5.2.2 Assuming every person interviewed could vote for only one movie, estimate how many people, to the nearest 100, were interviewed in this survey. (3) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 26 of 30 5.2.3 Marvel's Black Panther, released 29 January 2018, leapt across the $1B mark globally by 31 March 2018, and is now Marvel's 5th movie to ever pass $1B. [Resource: <www.deadline.com/2018/03/black-panther-crosses-1-billion-worldwide- box-office>] How much money was earned per day from the release date to 31 March 2018? (3) 5.3 Siphokuhle bought a ticket to watch Black Panther. The seating plan is given below: X 1 2 3 4 5 6 7 8 9 10 1112 13 14 5.3.1 What is the seat number of the seat marked with an X? (2) IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 27 of 30 5.3.2 If 22 tickets had been sold and each ticket cost R76 per person, determine how much money this cinema made. (2) 5.3.3 How many tickets can the cinema sell in total for this movie house? (2) 5.4 Philip and three friends decided to go and watch Black Panther. Philip is a Standard Bank Gold Credit Card holder. If it costs R76 per ticket, determine how much Philip would pay for the four tickets. (3) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 28 of 30 5.5 Ster Kinekor advertises the following Mega Combo: 5.5.1 If one item on the list is chosen at random, what is the probability of choosing a coke as a drink? (2) 5.5.2 What is the probability of choosing Jelly Tots as a sweet? (2) 5.5.3 What is the probability of choosing a Coke and Jelly Tots? (2) 5.5.4 Calculate the percentage profit mark-up on popcorn if the cost to make popcorn is 185c and it is sold for R25. (3) [29] Total: 150 marks IEB Copyright © 2019

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 29 of 30 ADDITIONAL SPACE (ALL questions) REMEMBER TO CLEARLY INDICATE AT THE QUESTION THAT YOU USED THE ADDITIONAL SPACE TO ENSURE THAT ALL ANSWERS ARE MARKED. IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I Page 30 of 30 IEB Copyright © 2019