Maths Lit Practice exam November Paper 1 GR11

Study & Master Support Pack 2 | Grade 11 CAPS Mathematical Literacy Exemplar examination: November (Paper 1) This revision pack for Mathematical Literacy Grade 11 provides support for learners revising the most important concepts and principles covered in the CAPS curriculum, by providing practice exams. This revision pack includes a sample November examination (Paper 1). You have permission to print or photocopy this document, and to distribute it electronically via email or WhatsApp. For more information on our Study & Master CAPS-approved textbooks and valuable resource material, visit www.cambridge.org Brighter Thinking | Better Learning

Grade 11 NOVEMBER Time: 2,5 hours Paper 1 EXAMINATION Marks: 100 Question 1 1. The table gives the amount of electricity used in South Africa in 2006 by province. The pie chart represents the information given in the table. Labels A and B indicate missing values. Electricity used by each province during 2006 Electricity used by each province in 2006 LP 5,4% WC 10,4% (in gigawatt hours (GWh)) Western Cape WC 22 380 MP B% EC 3,8% NC 2,2% Eastern Cape EC 8 260 FS 4,3% Northern Cape NC 4 730 Free State FS 9 140 KwaZulu-Natal KZN 43 170 North West NW 24 420 KZN 20,1% Gauteng GT 59 730 GT 27,8% Mpumalanga MP 31 390 Limpopo LP 11 520 NW A% Source: Statistics South Africa, March 2007, Electricity generated and available for distribution 1. Complete the following sentences. a) One gigawatt hour is equivalent to _____ watt hours. (1) b) One gigawatt hour is equivalent to _____ kilowatt hours. (1) 2. a) How much electricity was used by Limpopo, rounded off to the nearest thousand?(1) b) How much electricity was used by Gauteng, rounded off to the nearest ten thousand? (1) 3. a) Calculate the total number of gigawatt hours of electricity used in South Africa in 2006. (2) b) Using an electricity tariff of 46,34 cents per kWh for the Western Cape, calculate the monthly cost of electricity for a household in Cape Town that uses approximately 850 kWh per month. Round off your answer to the nearest rand. (3) 4. a) Which province used the least electricity in 2006? (1) b) Which province used the most electricity in 2006? (1) c) What is the difference in the number of gigawatt hours of electricity used by KwaZulu-Natal and Mpumalanga? (2) d) Is the following statement true or false? Show your calculations. (2) In 2006, the total amount of electricity used by the Free State, the Eastern Cape, Limpopo and the Northern Cape is less than the electricity used by KwaZulu-Natal. 5. Use the pie chart to answer the following questions. a) What percentage of the electricity used in South Africa in 2006 was used by the Western Cape? (1) b) Which province used 3,8% of the electricity in 2006? (1) 1

c) Use your answer to question 3a to determine the missing percentages for A and B in the pie chart. (2) d) Which of the options given below best describes the electricity used by Gauteng as a fraction of the total electricity used in 2006? (2) A > ​​  1_3 ​​ _1 B < ​​  4 ​​ C > ​​  1_4 ​​ _1 D < ​​  5 ​​ 6. In 2016, the population of South Africa was approximately 55,7 million. The map shows the estimated population of each province. LP 10,4% GT MP NW 24,1% 7,8% 6,7% FS KZN 5,1% 19,9% NC 2,1% EC 12,6% WC 11,3% Source: Statistics South Africa, Population 2016, http://www.statssa.gov.za/ Use the information provided in the map to answer the following questions. a) Approximately how many people live in the Eastern Cape? Round off your answer to the nearest million. (2) b) A person living in South Africa is chosen at random. What is the probability that they live in Gauteng? (2) c) Which province has the largest area? (1) d) Which province has the smallest area? (1) e) Name three provinces that have an area larger than Mpumalanga? (3) [30] Question 2 The local child welfare organisation is planning a fund-raising dinner-dance and intends to sell 200 tickets for R150 each. The organisers must choose between the Impala Conference Centre and the community hall as a venue. A musical group has agreed to provide free music. 1. The organisers compare the costs for the two venues. a) The Impala Conference Centre has no basic fee, but charges R120 per person. 2

Calculate the missing value (A) in Table 1. Show all your calculations. (2) Table 1: Cost of hiring the Impala Conference Centre Number of tickets sold (n) 0 50 100 160 200 Cost (C ) (R) 0 6 000 12 000 A 24 000 b) The community hall charges a basic fee of R3 000 and an additional R90 per person. The following formula expresses the cost (C) of hiring the community hall in terms of the number (n) of tickets sold: C = R90 × n + R3 000 i) Use the formula to calculate the missing value in Table 2 (B). Show all your calculations. (3) Table 2: Cost of hiring the community hall Number of tickets sold (n) 0 50 100 B 200 Cost (C ) (R) 3 000 7 500 12 000 15 600 21 000 ii) Use the data in Table 2 and draw a straight line graph on a copy of the grid provided in Annexure A on page 165. Clearly label the graph as Cost. (4) c) Use the values in Table 1 and Table 2 and give the number of tickets sold when the cost for the two venues is the same. (1) d) Suppose that all the tickets are sold. Refer to Tables 1 and 2 and write down the ratio of the cost of hiring Impala Conference Centre for 200 people with hiring the community hall for the same number of people. (2) 2. The tickets are sold for R150 each. The following formula expresses the total income (I ) in terms of the number (n) of tickets sold: I = 150 × n. Table 3 shows the number of tickets sold and the income received. Table 3: Income from ticket sales Number of tickets sold (n) 0 50 100 150 200 Income (I ) in rand 0 7 500 15 000 C 30 000 a) Use the formula to calculate the missing value (C) in Table 3. Show all your calculations. (2) b) Use the data in Table 3 and draw a straight line graph on the same graph you have drawn for question 1bi. Clearly label the graph as Income. (4) 3. The organisers decide to use the community hall for their function. Use the values in Table 2 and Table 3 (which are repeated in Annexure B on page 166) and answer the questions that follow. a) Determine the number of tickets that must be sold for the organisation to make neither a profit nor a loss. (Find the break-even point.) (1) b) How much profit did the organisers make from selling 200 tickets, if profit = income – costs?  (2) 4. The musical group has 13 female members. Three members play the violin, two members play the trumpet, one plays the drums and the rest play guitar. 3

What is the probability that a member of the group when chosen at random: a) plays the violin (2) b) plays the keyboard (2) c) is female? (1) [26] Question 3 Betty’s Caterers provides a catering and hiring service for functions. Betty employs 16 casual workers as waiters. People can rent tables, table cloths and chairs from her. The casual workers are paid according to the number of hours they work. In December, there were many functions. The weekly wages are given below. December weekly wages R396 R425 R464 R464 R515 R535 R535 R535 R535 R535 R535 R560 R578 R578 R831 R1 025 In January, there were few functions. The weekly wages are given below. January weekly wages R296 R325 R414 R424 R425 R425 R435 R475 R485 R490 R535 R550 R565 R578 R631 R925 1. What was the median weekly wage in January? (2) 2. What was the range of weekly wages in January? (2) 3. Calculate the mean weekly wage in January. (3) 4. In 2007, the Minister of Labour announced that waiters must be paid a minimum wage of R1 380 per month. a) How much is this per week? (1) b) How many waiters earned less than the minimum wage in January? (1) 5. Betty wanted to draw a graph to compare the wages in December and January. She used two frequency tables to show the data. Weekly wages in December 2006 (R) Weekly wages in January 2007 (R) Intervals Frequency Intervals Frequency 200–299 0 200–299 1 300–399 1 300–399 1 400–499 3 400–499 8    500–599 10    500–599 4 600–699 0 600–699 1 700–799 0 700–799 0 800–899 1 800–899 0 900–999 0 900–999 1 1 000–1 099 1 1 000–1 099 0 Total 16 Total 16 4

Betty decided to represent the information as a compound bar graph. The bar graph, which shows the weekly wages in December, is given in Annexure C on page 166. Copy the graph and complete it by drawing the bars to show the weekly wages in January. (3) 6. The new minimum wage in South Africa from 1 January 2013 to 31 January 2014 for a shop assistant or a waiter was R2 922,83 per month. a) What did a waiter earn per week if he was paid the minimum wage? (1) b) Calculate the percentage increase in the minimum monthly wage for a waiter from January 2007 to January 2014. (2) 7. Betty bought round tables with a diameter (D) of 130 cm. She made tablecloths with a diameter of 150 cm for the tables. She decided to sew lace around the edge of the tablecloths. What length of lace is needed for each tablecloth? (Use the formula: Circumference (C) = πd, use 3,14 for π.) 150 cm (2)  [17 ] Question 4 Ms Motlhamme is the mother of twins Oratilwe and Bakang. She is health conscious and regularly serves fruit salad and low sugar ice cream for dessert. 1. The till slip shows the ingredients she purchased to make a dessert. Use the till slip to answer the questions. SHOPRITE NEWLANDS PO Box 11 700, Marine Parade DURBAN 4056 TEL 031-5747000 TAX INVOICE Vat registration no: 442010677 CARRIER BAG 24 ℓ R0,21 CARRIER BAG 24 ℓ R0,21 PINEAPPLE R3,99 * BANANAS R5,44 * PEAR PER KG R1,46 * ICECREAM 2 ℓ R26,99 GRANADILLA 110g R5,99 APPLES R5,42 * PEACH SLICES R5,69 MANGO R1,99 * MANGO R1,99 * LEMONS PER kg R2,30 * MANGO R1,99 * 13 BALANCE DUE R63,67 CASH ROUNDING –R0,02 CASH R100,00 CHANGE R36,35 RATE VAT TOTAL 15,00% 5,86 39,09 * 0,00% 0,00 24,58 CASHIER NAME: NTANDO GUMEDE COO12 #0218 15:33:42 16MAY2018 S00351 R009 KEEP TILL SLIP AS PROOF OF PURCHASE 5

a) Was this purchase made in the morning, the afternoon or the evening? (1) b) How many mangoes did Mrs Dunn buy? (1) c) What is the percentage of value-added tax (VAT) she paid? (1) d) How many items on the till slip were VAT-free? (1) e) How much VAT did she pay? (1) f) Write down the ratio of the size of the plastic bag to the size of the ice cream container. Give the answer in simplified form. (2) g) What is the cost per litre of ice cream? (1) h) The ice cream container is rectangular. It has a volume of 2 ℓ. Remember, 2 ℓ = 2 000 cm3. If the length of the ice cream container is 25 cm and the width is 10 cm, calculate the height of the container. Use the formula, volume = length × breadth × height, or V = l × b × h.(2) 2. Ms Motlhamme calculates the twins’ body mass index (BMI) annually. This is an indication of the amount of fat in the body. Aunt Miranda visits the family on the twins’ 14th birthday. In the country where she lives, mass is measured in pounds and length is measured in inches. Aunt Miranda records Oratilwe’s height and mass using her measuring instruments, while their mother records Bakang’s height and mass using her measuring instruments. They record the following data. Twin Mass Height Bakang 56 kg 1,65 m Oratilwe 99 pounds 60 inches a) Use the conversion table in Annexure D on page 166 to calculate Oratilwe’s height in metres, rounded off to three decimal places. (2) b) Use the conversion table in Annexure D to calculate Bakang’s mass in pounds, rounded off to two decimal places. (2) c) Calculate Bakang’s BMI, rounded off to one decimal place. mass (kg) Use the formula: BMI = _________ ​​ (height (m))2 ​​ (3) [17] Question 5 Carlos Hernandes is a Colombian medical student on an exchange programme to South Africa. He is based at the Polokwane Hospital, but will also spend time at the Pietersburg Medi-Clinic. Refer to the map of the centre of Polokwane in Limpopo in Annexure E on page 167 when you answer the following questions. 1. Pietersburg Comprehensive (Pietersburg Comp.) is in grid B3. What is the grid reference for the Polokwane Hospital? (1) 2. Thabo Mbeki Street is an east–west one-way street. Which other street on the map is an east–west one-way street? (1) 3. The Pietersburg Medi-Clinic covers a whole block. Give the names of the streets around the Medi-Clinic. (2) 6

4. Give directions Carlos could use to get from Polokwane Hospital from the entrance in Hospital Street to the Burger Street entrance to the Pietersburg Medi-Clinic.(2) 5. The distance on the map between the Polokwane Hospital and the Pietersburg Medi-Clinic is 90 mm. The scale is 1 : 22 500. Use the scale to calculate the distance in kilometres. (2) 6. Carlos gets an allowance of COL$200 000 (Colombian pesos) per month. What is this in rand? Use the following exchange rate. (2) Exchange rate: COL$1 000 = R2,59 R1 = COL$385,99 [10] 7

Annexure A Question 2: 1b ii and 2b Income and expenses 30 000 29 000 28 000 27 000 26 000 25 000 24 000 23 000 22 000 21 000 20 000 19 000 18 000 17 000 16 000 Value (R) 15 000 14 000 13 000 12 000 11 000 10 000 9 000 8 000 7 000 6 000 5 000 4 000 3 000 2 000 1 000 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 Number of tickets sold 8

Annexure B Question 2: 3 Table 2: Cost of hiring the community hall Number of tickets sold (n) 0 50 100 B 200 Cost (C) (R) 3 000 7 500 12 000 15 600 21 000 Table 3: Income from ticket sales Number of tickets sold (n) 0 50 100 150 200 Income (I ) (R) 0 7 500 15 000 C 30 000 Annexure C Question 3: 5 Wages earned in December and January 11 10 9 8 7 Amount (R) 6 5 4 3 2 1 0 200–299 300–399 400–499 500–599 600–699 700–799 800–899 900–999 1 000–1 099 Salary intervals Annexure D Question 4: 2a Conversion table 1 ounce = 28,35 grams 1 gram = 0,0352 ounces 1 pound = 0,4536 kilograms 1 kilogram = 2,2045 pounds 1 inch = 0,0254 metres 1 centimetre = 0,3937 inches 1 foot = 0,3048 metres 1 metre = 3,2808 feet 1 yard = 0,9144 metres 1 metre = 1,0936 yards 9

Annexure E Question 5 N E W S 1 2 3 ST yn DORP Magaz H Pietersburg elo St rm ER Van Wa IET d St TG Biccar Plein St Polokwane St PO Hospital p en St Van Nis ST Civitas St Hospital St St e schoten Van Bo A Ho spital S t Pretoria Hospital A Technicon Park L Pietersburg St Noord E xcelsior ST Ireland RISSIK COMPENSATIE PARK ISH ST DEVEN Comp Maga East S Hoog ensatie zyn St t Burge Plein S an Ren St e Voortr Hans v DORP St r St t EN ST JORISS B Schoe Biccar kker S B ST sburg d St t man S LAND C e n t ra l Po l o k w a n e R St t 71 DROS ER ST GROBL Danie Hough Pietersburg Comp. MARÉ Culture Centre Pietersburg LIBRARY Medi-Clinic R ST GARDENS 71 ST MBEKI L Pietersburg THABO Catholic Cathedral VOORTREKKER PARK tein St Bodens C Hoog C Maga Plein S St SQUARE Horse Rail Burge zyn St Botos DORP Comp t Polokwane r St e Voortr Hall t Polokwane Rabe S ensatie ST Civic Centre Biccar kker S St d St t 1 2 3 MapStudio ROAD ATLAS – SOUTH AFRICA. 19th edition 10