Mathematical Literacy Grade 11 P2 2020 Addendum (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2020 MATHEMATICAL LITERACY P2 (EXEMPLAR) MARKS: 100 TIME: 2 hours *imlit2* This question paper consists of 8 pages and an addendum with 4 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2020) INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ADDENDUM with ANNEXURES for the following questions: ANNEXURE A for QUESTION 2.2, ANNEXURE B for QUESTION 3.1, ANNEXURE C for QUESTION 3.2 and ANNEXURE D for QUESTION 4.1 3. Number the questions correctly according to the numbering system used in this question paper. 4. An approved calculator (non-programmable and non-graphical) may be used, unless stated otherwise. 5. Show ALL calculations clearly. 6. Maps and diagrams are NOT drawn to scale, unless otherwise stated. 7. Indicate units of measurement, where applicable. 8. Round off ALL final answers appropriately accordingly to the given context, unless stated otherwise. 9. Start EACH question on a NEW page. 10. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 3 QUESTION 1 1.1 Study the following thermometers and answer the questions that follow. [Source: www.http//:VectorStock.com/22441849] 1.1.1 Write down the temperature reading in degrees Celsius (°C) of thermometer 1. (2) 1.1.2 Identify the temperature in degrees Fahrenheit (°F), if the temperature in degrees Celsius (°C) is 35. (2) 1.1.3 Use thermometer 2 and write down the minimum temperature in degrees Fahrenheit (°F) as illustrated on the thermometer. (2) 1.1.4 Write the temperature reading in degrees Fahrenheit (°F) of thermometer 1 to thermometer 2 as a ratio in its simplest form. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2020) 1.2 The following is a street map of a neighbourhood. Study the street map and answer the questions. [Source: www.http//getdrawings.com] 1.2.1 How many houses are there in this neighbourhood? (2) 1.2.2 Which building is located next to the park? (2) 1.2.3 Which business appears more than all the other businesses? (2) 1.2.4 The bar (graphic or line) scale shows the distance of the bar in real life. Measure the length of the bar in centimetres. (2) 1.2.5 Hence, use your measurement in QUESTION 1.2.4 to explain the scale of this street map. (2) 1.2.6 How many more houses are in the street at the top than the street at the bottom? (2) [21] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 5 QUESTION 2 2.1 The following diagram shows a cylindrical lamp shade. Use the information to answer the questions that follow. Height diameter Dimensions of the lamp shade: Height = 31 cm Diameter = 200 mm You may use the following: Circumference of lamp shade = ࣊ × ‫ܚ܍ܜ܍ܕ܉ܑ܌‬ Area of lampshade = ࣊ × ‫ ܛܝܑ܌܉ܚ × ܛܝܑ܌܉ܚ‬where ࣊ = 3,142 2.1.1 Explain the term circumference in this context. (2) 2.1.2 Determine the radius of the lamp shade in centimetres. (3) 2.1.3 Hence, calculate the circumference of the lamp shade in centimetres. (2) 2.1.4 A worker stated that the height of the lamp shade is 65% more than the diameter of the lamp shade. Verify, with the necessary calculations, whether the statement is valid or not. (3) 2.1.5 The lamp shade needs to be covered with material. Calculate the area for the material required if 4,25% wastage must be allowed for seams and overlaps. Give your final answer to the nearest square centimetre. (5) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2020) 2.2 ANNEXURE A shows the instructions of how a floor lamp is assembled. Use ANNEXURE A to answer the questions below. 2.2.1 How many parts are used to assemble the floor shade excluding the tools (Allen keys and wrench)? (2) 2.2.2 Determine the probability of randomly using a set screw to assemble the floor lamp. Write your final answer to 3 decimal places. (3) 2.2.3 Give a reason why the manufacturer included an ‘IMPORTANT’ instruction to the assemblement. (2) 2.2.4 Explain why the manufacturer did not include a bulb in the packaging. (2) 2.2.5 Explain the purpose of the connector. (2) [26] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 7 QUESTION 3 3.1 Study the map, ANNEXURE B, that shows an extract of Durban. Answer the following questions that refer to the map, ANNEXURE B. 3.1.1 Give the TWO general directions that will be travelled from the Durban City Centre via Berea to Sydenham. (4) 3.1.2 Explain the term scale. (2) 3.1.3 Use the linear (graphic) scale on the map and rewrite it as a numeric scale as 1 : … to the nearest thousand. (4) 3.1.4 The distance from The Bluff to Riverside is 18,2 km when using the M4. At what time will you arrive in Riverside if you leave the Bluff at 14:53 at a speed of 65 km/h? You may use the following: ࡰ࢏࢙࢚ࢇ࢔ࢉࢋ Speed = ࢀ࢏࢓ࢋ (6) 3.1.5 The city of Durban did NOT expand to the east. What is the reason for this? (2) 3.2 Refer to the recipe, ANNEXURE C, and answer the questions below. You may use the following: 1 pound (lb) = 0,454 kilogram 1 tablespoon = 15 millilitres 1 teaspoon = 5 millilitres 1 cup = 250 millilitres 1 litre = 1 000 millilitres 3.2.1 How many kilograms of steak is used for the Beef Stroganoff? (2) 3.2.2 Determine the total millilitres of salt and black pepper to be used for the recipe. (3) 3.2.3 A new chef stated that the total amount of ingredients for the broth, whipping cream and sour cream is exactly half a litre. Verify, with the necessary calculations, whether his statement is valid or not. (5) 3.2.4 Determine the maximum cooking time for the Beef Stroganoff. (3) 3.2.5 Explain why the time for cooking is NOT the only time that should be considered for making the Beef Stroganoff. (2) [33] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2020) QUESTION 4 4.1 ANNEXURE D shows a seating plan of a cinema. Study the seating plan and answer the questions. 4.1.1 Write down the number of seats in Row N. (2) 4.1.2 How many more seats are there in the ‘Raised Seating Area’ than in the ‘Flat Seating Area’? (4) 4.1.3 Determine the probability that someone will be seated in the ‘L’ row. (2) 4.1.4 You are seated at Seat A17, while your cousin is seated at G7. You need to give your cousin something. Explain how you will walk to reach your cousin if you walk pass the stage/screen area. (3) 4.2 The following diagram shows a drum that is advertised as 200 litres. Answer the questions below. Dimensions of the drum: Diameter = 580 mm Height = 93 cm You may use the following: Volume of drum = ࣊ × radius × radius × height, where ࣊ = 3,142 1 000 cm3 = 1 litre 4.2.1 Show, with the necessary calculations, that the volume of the drum in litres is different than the advertised 200 litres. (5) 4.2.2 Hence, explain why the two volumes in litres are different. (4) [20] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2020 MATHEMATICAL LITERACY P2 ADDENDUM (EXEMPLAR) *IMLIT4* This addendum consists of 5 pages with a 4-page annexure. Copyright reserved Please turn over

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P2 (ADDENDUM) (EC/NOVEMBER 2020) ANNEXURE A QUESTION 2.2 ASSEMBLE A – FLOOR LAMP IMPORTANT: Always disconnect the power before installing or replacing a bulb and before cleaning or other maintenance. Assembly and installation Floor Lamp instructions 1. Attach the base to stem 3, inserting the threaded stem and locator pin through the washer and in the base. Secure the lock washer and hex nut using the wrench (included). 2. Insert the connector on stem 2 into stem 3 and use the large Allen key to tighten the set screws. (Loosen the set screws to adjust the height of the lamp) 3. Insert stem 1 into stem 2 and use the small Allen key to tighten the set screw. 4. Attach the diffuser, shade, spacer, and harp to the socket, and secure with socket ring. 5. Install a 100-Watt medium base bulb (not included). 6. Attach the glass and flat plate to the harp and secure with the finial. 7. Plug in the cord and the dimmer switch is located on the cord. [Source: https://manualzz.com/doc/19886634/assembly-instructions-for-item] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 (ADDENDUM) 3 ANNEXURE B QUESTION 3.1 Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P2 (ADDENDUM) (EC/NOVEMBER 2020) ANNEXURE C QUESTION 3.2 RECIPE FOR BEEF STROGANOFF For the Beef Stroganoff: x 1 lb (pound) top sirloin steak thinly sliced into strips x 2 (tbsps.) tablespoon olive oil x 2 (tbsps.) tablespoon butter ଵ x medium onion, finely chopped ଶ ଵ x lb (pound) brown mushrooms, thickly sliced ଶ x 1 garlic clove minced x 1 (tbsp.) tablespoon all-purpose flour x 1 cup beef broth ଷ x cup heavy whipping cream ସ ଵ x cup sour cream ସ x 1 (tbsp.) tablespoon Worcestershire sauce ଵ x ଶ (tsp.) teaspoon Dijon mustard ଵ x ଶ (tsp.) teaspoon salt ଵ x (tsp.) teaspoon black pepper ସ Instructions 1. Place a large deep pan over medium-high heat. Add 2 tbsps. oil and once the oil is very hot, add thinly sliced beef strips in a single layer, cooking 3 minutes per side without stirring. Cook until just browned and no longer red. Remove beef to a plate and cover to keep warm. 2. Add 2 tbsps. butter, chopped onion and sliced mushrooms. Sauté 6 to 8 minutes or until liquid has evaporated and onions and mushrooms are soft and lightly browned. 3. Add 1 minced garlic clove and sauté 1 minute until fragrant. Add 1 tbsp. flour and sauté another minute stirring constantly. ଷ 4. Pour in 1 cup of beef broth, scraping any bits from the bottom of the pan. Then add cup of ସ whipping cream and simmer another 1 to 2 minutes or until slightly thickened. ଵ 5. Stir a few tablespoons of the sauce into cup of sour cream to temper it so the sour cream does ସ not curdle. Then add it to the pan while stirring constantly. ଵ ଵ ଵ 6. Stir in 1 tbsp. Worcestershire, tsp Dijon mustard, and season with tsp salt and tsp pepper, or ଶ ଶ ସ season to taste and continue simmering for 20 minutes until sauce is creamy. Add beef with any accumulated juices back to the pan and bring just to a simmer for 2 minutes until beef is heated through. Copyright reserved Please turn over

(EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 5 ANNEXURE D QUESTION 4.1 Downloaded from hlayiso.com Copyright reserved Please turn over

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Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2020 MATHEMATICAL LITERACY P2 MARKING GUIDELINE (EXEMPLAR) MARKS: 100 Symbol Explanation M Method M/A Method with Accuracy MCA Method with Consistent Accuracy CA Consistent Accuracy A Accuracy C Conversion S Simplification RT/RG/RM Reading from a table OR Reading from a graph OR Read from map F Choosing the correct formula SF Substitution in a formula J Justification P Penalty, e.g. for no units, incorrect rounding off etc. R Rounding Off OR Reason AO Answer only NPR No penalty for rounding This marking guideline consists of 5 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2020) QUESTION 1 [21 MARKS] Ques. Solution Explanation Topic & Level 1.1.1 Temperature reading = 30 °C 99A 2A Correct reading M (2) L1 1.1.2 °F = 100 °F 99A 2A °F (2) M L1 1.1.3 Minimum °Fahrenheit = minus 42°F OR -42°F 99A 2A Min °F (2) M L1 1.1.4 Thermometer 1 : Thermometer 2 1RD Both values M 9RD correct L1 = 90 : 20 9M 1M Correct order = 9 : 2 9CA 1CA Simplified ratio (3) 1.2.1 Number of houses = 18 99A 2A Correct number M of houses (2) L1 1.2.2 Hospital99A 2A Correct building M (2) L1 1.2.3 Café 99A 2A Correct business M (2) L1 1.2.4 Length of the bar = 1,5 cm 99A 2A Correct length M (2) L1 1.2.5 1,5 cm on the map represents 50 yards in reality99A CA from 1.2.4 M 2A Explanation (2) L1 1.2.6 3 houses 99A 2A Number of M houses more (2) L1 [21] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 3 QUESTION 2 [26 MARKS] Ques. Solution Explanation Topic & Level 2.1.1 Circumference is the distance or length around the lamp 2A Explanation (2) M shade 99A L1 2.1.2 Radius = ଶ଴଴ 9C 1C mm to cm M ଵ଴ ଶ଴ L2 = 9M 1M Divide by 2 ଶ = 10 cm 9CA 1CA Radius (3) 2.1.3 Circumference of lamp shade = ߨ × diameter CA from 2.1.1 M = 3,142 × 20 cm 9SF 1SF Substitution L2 = 62,84 cm 9MCA 1MCA Circumference (2) 2.1.4 Height of lamp shade = 20 cm × 1,65 9M 1M Multiply by M = 33 cm 9A 1,65 L4 Statement invalid 9O 1A Height 1O Invalid (3) 2.1.5 Area of lampshade = ߨ × radius × radius CA from 2.1.1 M = 3,142 × 10 cm × 10 cm9SF 1SF Substitution L3 = 314, 2 cm2 9MCA 1MCA Area of Area including wastage = 314, 2 cm2 × 1,0425 9M lamp shade = 327,5535 cm2 9CA 1M Multiply by § 328 cm2 9R 1,0425 1CA Area including wastage 1R Nearest cm2 (5) 2.2.1 Number of parts = 22 parts 99A 2A Number of parts M&P (2) L2 2.2.2 P(set screw) = 9A P ଶ CA from 2.2.1 ଶଶ 9MCA 1A Number of set L2 = 0,090909…. screws § 0,091 9R 1MCA 1R 3 dec places (3) 2.2.3 To prevent shocking 99R 2R Reason (2) M&P OR L4 For safety purposes Accept any other relevant reasons 2.2.4 Bulbs can break/damage 99R 2R Explanation (2) M&P L4 2.2.5 To connect Stem 2 with Stem 3 99A 2A Explanation (2) M&P L4 Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2020) QUESTION 3 [33 MARKS] Ques. Solution Explanation Topic & Level 3.1.1 Southwest 99A 2A Southwest M&P North 99A 1A North (4) L2 3.1.2 Scale refers to the relationship (ratio) between distance on a map 2A Definition (2) M&P and the corresponding distance on the ground (reality) 99A L1 3.1.3 Measure bar = 1,8 cm 9A (Accept 1,7 cm to 1,9 cm) 1A Measure bar M&P 1,8 cm = 2 km 1C km to cm L3 1,8 cm = 200 000 cm 9C ᄱ 1 cm = 111 111, 111 9S 1S Simplification ᄱ 1 : 111 000 9R 1R Nearest ‘000 (4) 3.1.4 Speed = ࡰ࢏࢙࢚ࢇ࢔ࢉࢋ M&P ࢀ࢏࢓ࢋ 1SF Substitution L3 ૚ૡ,૛ ࢑࢓ 65 km/h = 9M 1M Changing ࢀ࢏࢓ࢋ ଵ଼,ଶ ௞௠ Time = ଺ହ ௞௠/௛ 9M subject of formule 1A Time in hours = 0,28….h 9A 1CA Time in min = 16,8 min 9C 1M Add times = 17 minutes 1CA Arrival time Time of arrival = 14:53 + 17 minutes 9M (6) = 15:10 9CA 3.1.5 Because of the (Indian) ocean 99R 2R Reason (2) M&P L4 M 3.2.1 Steak = 0,454 kg 99A 2A Kilogram (2) L1 3.2.2 Salt = 0,5 × 5 ml M = 2,5 ml 9MA 1MA Millilitres L2 Black pepper = 0,25 × 5 ml = 1,25 ml 9CA 1CA Millilitres Total = 2,5 ml + 1,25 ml = 3,75 ml 9CA 11CA Total (3) 3.2.3 1 cup broth = 250 ml 9MA 1MA 250 ml M ଷ cup whipping cream = 0,75 × 250 ml L4 ସ 1MA 187,5 ml = 187,5 ml 9MA ଵ cup sour cream = 0,25 × 250 ସ = 62,5 ml 9MA 1MA 62,5 ml Total = 250 ml + 187,5 ml + 62,5 ml = 500 ml = 0,5 litres 9CA 1CA Litre Statement is valid 9O 1O Valid (5) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2020) MATHEMATICAL LITERACY P2 5 3.2.4 Cooking time9M 9MCA 1M Multiply by 2 M = (3 min × 2) + 8 min + 1 min + 1 min + 2 min + 20 min + 2 1MCA Adding all L2 min times = 40 minutes 9CA 1CA Total time (3) M 3.2.5 Time for preparation should also be considered. 99A 2A Reason (2) L4 QUESTION 4 [20 MARKS] Ques. Solution Explanation Topic & Level 4.1.1 6 seats 99A 2A No of seats M&P (2) L1 4.1.2 Raised Seating Area = 112 seats 9A 1A Seats in RSA M&P Flat Seating Area = 85 seats 9A 1A Seats in FSA L3 Difference = 112 – 85 9M 1M Subtract = 27 seats 9CA 1CA Difference (4) 4.1.3 P(L-row) = ଵଽ଻ 9A 1A Numerator M&P ଵଶ 9MCA 1MCA L2 Denominator (CA from 4.1.2) (2) 4.1.4 Walk to A5, then turn right 9A 1A Straight M&P Walk straight pass the Row D 9A 1A Turn right L4 Third Row (G) third seat 9A 1A 3rd row, 3rd seat Accept any other relevant responses (3) 4.2.1 Volume of drum = ߨ × radius × radius × height M 9C 9A 1C mm to cm L3 = 3,142 × 29 cm × 29 cm × 93 cm 9SF 1A Radius = 245 745, 246 cm3 9CA 1SF Substitution Litres = 245 745, 246 cm3 ÷ 1 000 cm3 1CA Volume = 2 45,745 litres 9CA 1CA Litres (5) 4.2.2 x The volume of advertisement refers to the maximum the 2A 1st Reason M drum can hold. 99A L4 x The calculated volume refers to the entire drum. 99A 2A 2nd Reason (4) TOTAL: 100 Copyright reserved Please turn over

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