Mathematical Literacy P1 May June 2018 Eng hlayiso.com

basic education Department: Basic Education REPUBLIC OF SOUTH AFRICA SENIOR CERTIFICATE EXAMINATIONS MATHEMATICAL LITERACY P1 2018 MARKS: 150 TIME: 3 hours This question paper consists of 13 pages, 1 answer sheet and an addendum with 3 annexures. Copyright reserved Please turn over

Mathematical Literacy/P1 2 DBE/2018 Downloaded from hlayiso.com SCE INSTRUCTIONS AND INFORMATION 1. 2. 10. Copyright reserved This question paper consists of FIVE questions. Answer ALL the questions. 2.1 2.2 2.3 Use the ANNEXURES in the ADDENDUM to answer the following questions: e ANNEXURE A for QUESTION 2.1 e ANNEXURE B for QUESTION 4.1 e ANNEXURE C for QUESTION 5.2 Answer QUESTION 5.1.8 on the attached ANSWER SHEET. Write your centre number and examination number in the spaces on the ANSWER SHEET. Hand in the ANSWER SHEET with your ANSWER BOOK. Number the answers correctly according to the numbering system used in this question paper. Start EACH question on a NEW page. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. Show ALL calculations clearly. Round off ALL final answers appropriately according to the given context, unless stated otherwise. Indicate units of measurement, where applicable. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. Write neatly and legibly. Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 3 DBE/2018 SCE QUESTION 1 11 The graphs below show the water tariffs for Cape Town and Johannesburg. Study the graphs below and answer the questions which follow. CAPE TOWN Kilolitres (kQ) used Increase per month Price (%) Free Step 1 0-6 imaR4,56 New Gam R16,54 Step 2 6-10,5 pee RI775 7,3% Step3 | 105-20 mh 10,3% GR 40,96 Step 4 20-35 eee R43,69 6,6% Gs 66,41 Step 5 35-50 cee R113,99 71,6% rs 2 ()(),1 0) Step 6 > 50 R302,24 51% JOHANNESBURG Kilolitres (kf) used Increase per month Price (%) Free Step 1 0-6 R7,14 New Step 2 aC Ea 6.2% EEE R17,65 Step 4 15-20 que R 19,63 11.2% es 224,03 Step 5 20-30 ee R26,96 12,2% EE R258 1 Step 6 30-40 R29,22 13,2% ee R32 27 Step 7 40-50 R711 18% New Step 8 750 ES 238,72 20% Key: 2016/17 MM _2017/18_ [Adapted from www.graphics24.co.za] L.1.1 State the type of graph used to represent this data. 1.1.2 Arrange Cape Town's percentage increase in descending order. 1.1.3 Identify the step that indicates the largest increase (in rand) in Cape Town's water tariff from 2016/17 to 2017/18. 1.1.4 Determine in which ONE of the two cities water is more expensive. 1.1.5 Calculate the cost of 3,5 k? of water in Johannesburg during 2017/18. 1.1.6 Is the data given categorically or numerically? Copyright reserved Please turn over (2) (2) (2) (2) (2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1 4 DBE/2018 SCE 1.2 | The price list given below shows the selling price and profit for different types of clocks. Study the price list and answer the questions that follow. CLOCK A Selling price: R3 350,00 Profit: R914,00 CLOCK B Selling price: R220,00 Profit: R60,00 CLOCK C Selling price: R2 100,00 Profit: R573,00 CLOCK D Selling price: R5 950,00 Profit: R1 623,00 All prices exclude 14% VAT. [Adapted from www.pricecheck.co.za] Write down the time on CLOCK B, using the 24-hour format if it 1.2.1 Explain the term cost price. 1.2.2 Calculate the cost price of CLOCK A, excluding VAT. 1.2.3 represents the time in the evening. 1.2.4 Copyright reserved Calculate the total profit made if all four clocks are sold. Please turn over (2) (2) 2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1 5 DBE/2018 SCE 1.3 The photograph below shows an electronic kitchen scale (in grams) with three fruits placed on the scale. Pear iy wy, Sd “—* Peach The mass of the pear is 128 g. The mass of the plum is half the mass of the pear. NOTE: | kg=1 000 g [Adapted from www.pricecheck.co.za] Use the photograph and information above to answer the questions that follow. 1.3.1 Convert the total mass of the fruit into kg. (2) 1.3.2 The pear is removed from the kitchen scale. Write down the new reading (in grams) shown on the kitchen scale. (2) 1.3.3 Show how the mass of 202 g for the peach was calculated. (3) 1.3.4 Determine the probability of randomly selecting a banana from the fruit placed on the kitchen scale. (2) 1.3.5 Write down the simplified ratio of the total mass of fruit to the total mass of the pear. (2) 31] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 6 DBE/2018 SCE QUESTION 2 2.1 Mrs Chan, a teacher from Brakpan, received a monthly statement from GEMS (Government Employee Medical Scheme), as shown in ANNEXURE A. Mrs Chan has one dependent, her son Lee, on her medical aid. Use ANNEXURE A to answer the questions that follow. 2.1.1. Which month is covered by this statement? 2.1.2 State why the member had to pay R445,10 to the supplier. 2.1.3. Write down the name of the general practitioner visited. 2.1.4 Calculate the new price of the acute medication (under the tariff code) if the price increased by 6,3%. 2.1.5 Calculate the total amount of tax claimable in the previous statements if the tax claimable is the amount paid by the member directly to the supplier. 2.1.6 Define the term debit within the context of the statement. 2.1.7. Show how the total amount of R479,75 was calculated, 2.2 John is interested in running a small internet station in a coffee shop. He searches the internet and finds the advertisement below on a website www.wish.com. ALL prices include 14% VAT. Portable Pocket Hotspot (PPH) Was: R988,00 % N eal New Ultra-thin mouse (UTM) Was: R223,00 Now: R13,00 @ [Source: www.wish.com] Study the advertisement above and answer the questions that follow. 2.2.1. What does the acronym VAT stand for? 2.2.2 Calculate the amount of VAT payable on the old price for the PPH. 2.2.3 Calculate the difference between the new price and the old price of the UTM. Copyright reserved Please turn over (2) (2) (2) (3) (2) 2) 2) (2) (3) Q)

Downloaded from hlayiso.com Mathematical Literacy/P 1 2.3 7 SCE DBE/2018 John told his friend Errol, who lives in Botswana, about the profit he made when he sold the ultra-thin mouse (UTM). Errol decided to join John as a business partner. John and Errol then decided to share their profit in the ratio 3 : 2. TABLE 1 below shows the currency conversion factors for a few of the currencies in terms of the South African currency on 7 January 2018. TABLE 1; CURRENCY CONVERSION FACTORS CURRENCY UNITS PER ZAR ZAR PER UNIT Algerian dinar 9,546785 0,104747 Botswana pula(B WP) 0,797782 1,253475 Brazilian real 0,262231 3,813432 British pound 0,059861 16,705357 Mauritian rupee 2,726789 0,366732 | Japanese yen 9,111043 0,109757 [Source: www.x-rates.com] Use the table and the information above to answer the questions that follow. 2.3.1 Write down the exchange rate between the Botswana pula (BWP) and the South African rand (ZAR). (2) 2.3.2 List the currencies which are weaker than the ZAR. @) 2.3.3 Each mouse costs R13,00 and is sold for BWP48. (a) Convert R13,00 into BWP (2) (b) Calculate the total number of UTMs sold if a total profit of BWP7526 was made. (4) 2.3.4 Calculate the amount (in BWP) that Errol will receive if a total profit of BWP7526 was made. (3) 2.3.5 Show how the Algerian dinar of 0,104747 ZAR per unit was obtained. ° [38] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 & DBE/2018 SCE QUESTION 3 3.1 Olwethu intends opening a coffee shop. She wants to use tables made with pallets similar to the one in the picture below. Each table will have two pallets attached to legs with wheels. A piece of glass will be placed on the table surface. The dimensions of each pallet are 1 200 mm x 1 050 mm = 145 mm. PHOTOGRAPH OF PALLET SIDE VIEW OF ONE PALLET TABLE GLAS TOP TOP VIEW OF PALLET 1200 mm =| =| =| z =) S = ' g " Sal | . - * 1200 mm {Adapted from www.pintrest.com] Use the information and photographs above to answer the questions that follow. 3.1.1 Calculate the number of pallets needed to produce 12 tables. 3.1.2 Calculate the total height of the table, excluding the glass top, if the leg, including the wheel, is 200 mm high. 3.1.3 Calculate the area (in mm”) of the glass top. You may use the formula: Area = length x width 3.1.4 For safety reasons a rubber strip will be placed around the edge of the glass top. Calculate the total length (in mm) of rubber required for this purpose. Copyright reserved Please turn over (2) (3) (3) @)

Downloaded from hlayiso.com Mathematical Literacy/P1 9 DBE/2018 SCE 3.2 Olwethu has seen a cylindrical holder which can be used to store coasters. A coaster is a small tray or mat to place under a glass to protect the table from moisture. Each coaster has a radius of 50 mm and a height of 6 mm. Each holder can accommodate exactly 8 coasters with no space at the top. The holder is made of plastic material, 5 mm thick. CYLINDRICAL COASTER CYLINDRICAL HOLDER Thickness << SS Outer Gann SF diameter Ribbon . — ¢ 6mm)|e Outer diameter = 110 mm e The thickness of the holder should be 5mm © Radius = 50 mm e Height =6 mm [Adapted from www.pintrest.com] Use the information above to answer the questions that follow. 3.2.1 The holder will have a decorative ribbon around it. The ribbon will be 2 cm longer than the circumference of the holder so that a bow can be tied in the ribbon. Calculate the total length (in cm) of ribbon needed for one holder. You may use the following formula: Total length of ribbon = z x diameter + overlap, and using 1 = 3,142 (4) 3.2.2 (a) Write down the inner radius (in mm) of the cylindrical holder. (2) (b) — Hence, calculate the space needed in the holder to fit exactly 8 coasters. You may use the following formula: Volume of cylinder = x x radius’ x height; and using 1 = 3,142 (4) [21] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P 1 10 DBE/2018 QUESTION 4 SCE 4.1 Crazy Daisy Coffee Shop is situated in the north wing of a shopping mall. The layout plan (drawn to scale) of the shopping mall is given in ANNEXURE B. Use ANNEXURE B to answer the questions that follow. 4.1.1 4.1.2 4.1.3 4.14 4.15 4.1.6 Copyright reserved Write down the shop number of Crazy Daisy Coffee Shop. State which parking area is closest to Toy World. Write down the name of the shop which has the biggest floor area. The manager of shop 18 ordered a cup of coffee and a slice of cake to be delivered by Crazy Daisy Coffee Shop. Give the delivery man a set of directions from Crazy Daisy Coffee Shop up to the entrance of shop 18. Calculate the total number of doors shown on this layout plan. Write down the probability of randomly selecting a shop that has TWO door entrances. Determine the probability of randomly selecting a shop that is NOT labelled with an even number. Please turn over (2) (2) (2) (4) (2) (2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1 I DBE/2018 SCE 4.2 | The floor plan of Crazy Daisy Coffee Shop is shown below. FLOOR PLAN OF CRAZY DAISY COFFEE SHOP Key: [D toilet pan (J wash basin a z) kitchen sink W.... [Adapted from www.shopkeep.com] Use the floor plan above to answer the questions that follow. 4.2.1 Explain the meaning of the term floor plan. (2) 4.2.2 Identify the room labelled A. (2) 4.2.3 Give the general direction of the kitchen from the front door. (2) 4.2.4 The measured width of the coffee shop is 70 mm. The actual width is 15m, Determine the scale (rounded off to the nearest whole number) of the floor plan. 3) [25] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 12 DBE/2018 SCE QUESTION 5 5.1 Statistics South Africa (STATSSA) collects and releases data based on passenger transport annually. TABLE 2 below shows the 2016 data for land passenger transportation. TABLE 2: 2016 DATA FOR LAND PASSENGER TRANSPORT LAND TRANSPORT RAIL ROAD TOTAL LAND Passenger | Income | Passenger | Income | Passenger | Income journeys in journeys in journeys in in millions in millions in millions thousands (R) thousands {R) thousands (R) JAN. 30 526 238 24 279 748 54 805 986 FEB. 36 528 266 27 684 757 64 212 1023 MAR. 34 250 254 | 30277 869 64 527 1123 APR. 32 940 238 24 268 743 57 208 981 MAY 32 372 233 25 940 770 58 312 1 003 JUN. 32 741 216 25 308 790 58 049 1006 JUL. 31.792 247 23 609 768 55 401 1015 | AUG. 33 550 251 24 835 769 58 385 1.020 SEP. 38 024 275 27 144 836 65 168 1111 OcT. 35 802 269 24 304 Tr 60 106 1 040 NOV. 34 700 254 25 225 782 59 925 1 036 DEC. 23 592 198 22 313 801 45 905 999 TOTAL | 396 817 sae 305 186 9 404 702 003 12 343 [Adapted from www.statssa.co.za] Use the table above to answer the questions that follow. 5.1.1 Write down the month with the highest income for rail transportation. (2) 5.1.2 Calculate the mean monthly income for rail transportation. (3) 5.1.3 Calculate the road transportation income for April as a percentage of the total land income. (3) 5.1.4 Write down the total number of land passenger journeys for December. (2) 5.1.5 Write down (in words) the total number of passenger journeys for September. (2) 5.1.6 Calculate the median total land income. (3) 5.1.7 Write down the probability, as a decimal, of randomly selecting a month when the rail income for passenger transport was less than R200 000 000. (3) 5.1.8 A bar graph showing the monthly income for road transport for the last six months of the year, is drawn on ANSWER SHEET 1. On the same set of axes, draw another bar graph representing the monthly income for rail transport for the last six months of the year. (6) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 13 DBE/2018 SCE 5.2 The pie charts on ANNEXURE C show the different sources of income for households in the Western Cape and the Northern Cape in 2016. Use ANNEXURE C to answer the questions that follow. 5.2.1 If the total number of households in the Western Cape was 2 768 000 during 2016, calculate the number of households that depend on grants as a source of income. 5.2.2 Identify the THIRD HIGHEST source of income in the Western Cape. 5.2.3 Calculate the difference between the number of households in the Western Cape and the Northern Cape that depended on business as a source of income for 2016. 5.2.4 Determine the percentage (to TWO decimal places) of remittances in the Norther Cape if there were 532 000 households. TOTAL: Copyright reserved (3) (2) (3) (3) [35] 150

Downloaded from hlayiso.com Mathematical Literacy/P1 DBE/2018 SCE ANSWER SHEET 1 QUESTION 5.1.8 CENTRE NUMBER: EXAMINATION NUMBER: COMPARISON BETWEEN INCOME FOR RAIL AND ROAD TRANSPORTATION 650 jos { 600 | w S S 1 Road Income aN S S Income in rand (R million) os 3 100 50 A4- cea Copyright reserved