Mathematical Literacy Grade 11 P1 2016 QP (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2016 MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours *Imlit1* This question paper consists of 11 pages, including 1 answer sheet and 1 annexure.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. Use the ANNEXURE to answer QUESTION 1. Answer QUESTION 4.7 on the ANSWER SHEET provided and hand it in with your ANSWER BOOK. 2. Number the questions correctly according to the numbering system used in this question paper. 3. A non-programmable and non-graphical calculator may be used, unless stated otherwise. 4. ALL calculations and steps must be shown clearly. 5. Units of measurement must be indicated where applicable. 6. Start each question on a NEW page. 7. Round all final answers appropriate according to the context used. 8. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2016) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 Sandra paid cash for the service of her car at Bennie’s Service station. Study the information in the ANNEXURE to answer the questions that follow: 1.1.1 Name the Franchise Dealer that serviced Sandra’s car. (2) 1.1.2 Calculate the value of A, the amount charged for the labour. (2) 1.1.3 Show, with calculations, that the discount for the battery is 50%. (2) 1.1.4 Calculate the total unit price of all the parts used for servicing the car. (2) 1.1.5 Calculate the value of B, the amount of VAT paid by Sandra. (2) 1.1.6 Calculate the difference between the highest unit price and lowest unit price. (3) 1.2 Study the extract from Sandra’s cheque account statement below and answer the questions that follow: (Some information is omitted.) Table 1: Sandra’s cheque account statement from 23 to 25 March 2016 Date Item description Amount Balance (R) Bank (R) Accrued Charges 23 March Opening Balance R22 598,09 23 March Cell transfer to card 2 000,00 24 598,09 23 March Airtime Top-up - Airtime 0633148090 110,00 24 486,99 1,10 24 March POS Purchase Cheque Card @ CFR Shop 539,32 23 947,67 24 March ATM Cash - Main street 4 500,00 19 447,67 24 March Airtime Top-up - Airtime 0732729000 55,00 19 391,57 1,10 24 March Send money to 0633148090 500,00 18 882,07 9,50 25 March Cheque Card Fuel Purchase @ Ted Garage 300,00 18 582,07 Closing balance 18 582,07 1.2.1 Explain the term “opening balance”. (2) 1.2.2 On the 24th of March 2016 the bank accrued charges for the amount sent to 0633148090 was R9,50. Determine the bank accrued charges as a percentage of the amount sent. (3) 1.2.3 Determine the total amount Sandra paid for using the bank to buy airtime. (3) 1.2.4 Write down Sandra’s balance on the 25 March 2016 in words. (2) [23] Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) QUESTION 2 2.1 Nonine is a retired teacher who usually plants vegetables in her rectangular garden. She sent her soil sample to the laboratory to be tested. The results from the sample indicated the need to apply 2 pounds of 15-15-15 (Nitrogen- Phosphorus-Potassium) fertiliser per 100 square feet (𝑓𝑡 2 ). She plans to spread the fertiliser over a 20 x 15 foot area for corn. She has three 10-foot rows; one each for carrots, lettuce and spinach. She also has 10 tomato plants, which are fertilised individually. Use the picture below that shows Nonine’s rectangular garden and the conversion table given to answer QUESTION 2.1 30 ft 25 ft 10 foot 10 foot 10 foot 1 𝑚 = 3,281𝑓𝑡 1 𝑝𝑜𝑢𝑛𝑑 = 2 𝑐𝑢𝑝𝑠 1 𝑐𝑢𝑝 = 250 𝑚ℓ 1𝑚2 = 10,764𝑓𝑡 2 2.1.1 Write down the length and the width of Nonine’s garden in feet. (2) 2.1.2 Calculate the area of Nonine’s vegetable garden. Give your answer in square metres. You may use the formula: Area of a rectangle = length x breadth (4) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2016) MATHEMATICAL LITERACY P1 5 2.1.3 Calculate the amount of the fertiliser needed for the corn area in the garden. Give your answer in pounds. You may use the formula: 𝐀𝐫𝐞𝐚 𝐜𝐨𝐯𝐞𝐫𝐞𝐝 𝐛𝐲 𝐜𝐨𝐫𝐧 𝐀𝐦𝐨𝐮𝐧𝐭 𝐨𝐟 𝐟𝐞𝐫𝐭𝐢𝐥𝐢𝐬𝐞𝐫 = 𝐀𝐫𝐞𝐚 𝐜𝐨𝐯𝐞𝐫𝐞𝐝 𝐛𝐲 𝐟𝐞𝐫𝐭𝐢𝐥𝐢𝐬𝐞𝐫 (5) 2.1.4 Each tomato plant needs 0,15 pound of the fertiliser. Convert the amount of the fertiliser needed for each tomato plant into cups. (3) 2.2 Nonine’s daughter, Mimmy, fell sick and consulted a doctor. She was given medication and instructed to complete an antibiotic treatment. The table below shows the medication given to her. Table 2: Certified copy of doctor’s script (some information is omitted) Code Type of medication Volume Amount 797979018 Flusin DM Take two medicine Syrup 100 mℓ R67,46 measures (10 mℓ) 10D Three times a day 756156017 Ponstan 50 mg/5 mℓ 200 mℓ 10D R37,70 Take three medicine measures (15 mℓ) four times a day 710041002 Augmentin ES 600 Take two 100 mℓ 5D 710041002 medicine measures (10 mℓ) twice a day**complete course** 2.2.1 Calculate the total number of millilitres of medicine measures that Mimmy had to take in the morning at breakfast and in the evening.at supper. (3) 2.2.2 Calculate the amount of Augmentin ES 600 to be taken on the last day. (2) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) QUESTION 3 3.1 Study the map below of Fraser River Area from Haney to the Mouth and answer the questions that follow: [Source: www.env.gov.bc.ca] 3.1.1 Determine the number of sediment monitoring stations from the map. (2) 3.1.2 Write down the type of monitoring station named Marion (Jacobs) Lake. (2) 3.1.3 Identify the sediment monitoring station that lies between Main Arm and North Arm to join Fraser. (2) 3.1.4 Measure the distance (in a straight line) in centimetres between Haney and NA-2. (2) 3.1.5 Use your measured distance in QUESTION 3.1.4 and the given scale to determine the actual distance between Haney and NA-2 in kilometres. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2016) MATHEMATICAL LITERACY P1 7 3.2 The Vellem family invited few guests to celebrate in their son’s graduation ceremony for completing a Diploma in Management from Walter Sisulu University. The hall was partitioned into two by a curtain making table D and G unavailable to guests. Study the hall plan below and answer the questions that follow: N  Tables A-I, Head Table and Gift table -seat occupied by guests and family members 3.2.1 One of the guests did not want to sit close to the window. Identify the table where this guest may be seated. (2) 3.2.2 Give the general compass direction of Table F from Table H. (2) 3.2.3 Determine the probability that a person randomly chosen will be seated at tables D and G during the ceremony. (2) 3.2.4 One of the guests was asked to walk straight from the door to sit at the second left table. Name the table where this guest will be seated. (2) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) QUESTION 4 Table 3 below compares prices of selected food items in the rural and urban areas for January 2015. Study the table and answer the questions that follow: Table 3: Comparison between urban and rural food prices (selected food items) Rural food Urban food Price prices prices Product difference January 2015 January 2015 Rand per unit (in Rands) (in Rands) Full cream Long Life Milk (1 ℓ) 12,03 12,59 0,56 Loaf of Brown Bread (700 g) 9,57 10,29 0,72 Loaf of White Bread (700 g) 10,31 11,42 1,11 Maize Meal (5 kg) 32,49 33,73 1,24 Margarine(500 g) 17,89 21,68 3,79 Rice (2 kg) 23,62 23,45 -0,17 Sunflower Oil (750 mℓ) 14,59 17,25 2,66 Ceylon/Black Tea (62,5g) 9,89 9,68 -0,21 White Sugar (2,5 kg) 29,63 26,31 -3,32 Average A [Source: StatsSA, 2015] 4.1 Arrange the rural food prices in descending order. (2) 4.2 Determine the median for rural food prices. (2) 4.3 Calculate the range for urban food prices. (3) 4.4 Identify the minimum price difference in rand per unit. (2) 4.5 Identify ONE product with the largest price difference between Urban and Rural area. (2) 4.6 Identify the mode for urban food prices. (2) 4.7 Draw a bar graph to show the last FIVE products from urban food prices. Use the graph paper provided on ANSWER SHEET 1. (6) 4.8 Write down your observation about the food prices for both urban and rural customers. (2) 4.9 Calculate the value of A, the average price difference in rand per unit. (3) 4.10 Determine the probability that a product randomly selected has a mass of 700 g. Give your answer to the nearest percentage. (3) [27] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2016) MATHEMATICAL LITERACY P1 9 QUESTION 5 Victoria went to Sparrow shop to buy few items. She has a loyal card that she uses to earn points when the card is presented at the till. The earned points can be converted to cash to buy some items from the shop when it is needed. Study the till slip below she received from Sparrow and answer the questions that follow: (*some information is omitted*) SPARROW SHOP Roseplace.Tel: 716 1610 Customer: Victoria Prices (R) Parm Stew F/Cus 1 kg 22,49 Mc Beans (Fresh Greenbeans) 1 kg 36,99# A/Chix B/P 4-PCE 0,542 kg @ 53,99 p/kg 29,26 A/Chix B/P 4-PCE 0,474 kg @ 53,99 p/kg 25,59 Flora regular margarine per kg 2 @ …….. 1 kg 99,98 Sunday Times National 1’s 22,00 Bostik Prestik L 100 g 17,99 Koo PCH.Slice SR 410 g 9,99 Valpre Still 1,5 ℓ 13,49 Carrier bag 2 @ 0,50 24 ℓ 1,00 TOTAL FOR 12 ITEMS 278,78 Tendered debit card 478,78 Change cash 200,00 Points earned: Before This sale: 1639 This sale: 13 Total points: 1652 VAT rate Excluding. Tax Included 0,00% 36,99 0,00 36,99* 14,00% 212,10 29,69 241,79 Slip Till Cashier Date Time 4372 005 21 03.04.16 10:00 5.1 Identify the price of an item that is zero VAT (Value Added Tax) rated. (2) 5.2 Identify the cash amount Victoria asked from the cashier at the till in Sparrow shop. (2) 5.3 Calculate the value of one point earned by customers at Sparrow Shop. Give your answer to the nearest ten rand. (2) 5.4 Calculate the cost of 600 g of Bostik Prestik at Sparrow shop excluding VAT. (2) 5.5 Calculate the price of 1 kg Flora Regular margarine. (2) 5.6 Calculate the total for all food items on which VAT is charged. (2) [12] Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) ANNEXURE QUESTION 1 Bennie’s Service Station Franchise Dealer for Mercedes Buffalo City Benz, Chrysler, Jeep, Dodge, Reg.No. TM 1234/0 VAT Reg.No.10465 25987 Mitsubishi, Freightliner and Billy Road, P.O. Box 238, East London, 5200 FUSO vehicles Tel.(043) 745 1254 Fax. (043) 745 2334 Postal Address/Posadres Cash Tax Invoice Deliver to/Gelewer aan B/Bay cash sales Invoice Number Mrs. Sandra Twalo 23215874 10 Lily Street Sunset Bay Op Vehicle 5201 76416 Date of 26304/ REGISTRATION TDZ 652 EC 26/04/11 Doc no. 1st reg. 132568 Mercedes Selling MODEL 25A Date 24/03/16 Benz dealer Operation/Part no./Description Quantity/ Unit Unit Amount Time units Price (R) Consumables 0100MSH Engine Oil U 5,50 29 159,50 S MA271 180 05 09 Filter Oil X 1 212,82 EACH 106,41 S MA 001 986 19 71/ 1075 Cleaner S Solv X 1 4,99 EACH 2,50 MA 000 989 08 07/13 Fluid X 1 75,87 EACH 37,94 S MA 204 890 2311 TS Wiper Blade X 1 697,13 EACH 348,57 S MA 201 565 456 03 Battery X 1 2469,92 EACH 1234,96 S MA 313 836 0319 Filter Combi X 1 726,16 EACH 363,08 S Goods VAT Taxable amount NET TOTAL 3390,96 value RATE (incl labour) VAT/BTW B Parts (X) 2093,46 14 % 3390,96 Rounding 0,09 Labour A Sublet 0,00 Deposit 0,00 TOTAL 3865,60 Goods are supplied subject to ownership vesting in the seller until paid for in full. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2016) MATHEMATICAL LITERACY P1 11 ANSWER SHEET SURNAME AND NAME GRADE 11: ……. QUESTION 4.7 The graph showing selected urban food prices 40 35 30 25 Prices (Rands) 20 15 10 5 0 Maize Meal Margarine Rice Sunflower Ceylon Tea White Sugar Selected food items Copyright reserved Please turn over