NW Maths Literacy P1 Memo Eng SEPT 2019 hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 SEPTEMBER 2019 MARKING GUIDELINES These marking guidelines consist of 11 pages. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 2 NW/September 2019 NSC-Marking guidelines Codes Explanation M Method MA Method with Accuracy CA Consistent Accuracy A Accuracy C Conversion D Define J Justification / Reason / Explain S Simplification RT / RD / RG Reading from a table OR a graph OR a diagram OR a map OR a plan F Choosing the correct formula SF Substitution in a formula O Opinion P Penalty, e.g. for no units, incorrect rounding-off, etc. R Rounding-off NP No penalty for rounding-off OR omitting units KEY TO TOPIC SYMBOL: F = Finance; M = Measurement; MP = Maps, Plans and other representations; DH = Data Handling; P = Probability Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 3 NW/September 2019 NSC-Marking guidelines QUESTION 1 Answer only, full marks. NPR Q Answer Explanation Level 1.1.1 Bar Graph üüO 2O correct type of graph DH1 (2) 1.1.2 Total budget per month = R6 000 + R2 500 + R2 500 + R1 400 + R3 000 + R4 000 + R2 500 + R3 000 üRT 1RT reading all correct values F1 = R24 900 üA 1A total budget (2) 1.1.3 R6 000; R4 000; R3 000; R3 000; R2 500; R2 500; R2 500; R1 400üüA 2A All values in the correct order. DH1 (2) 1.1.4 12 mmüüA 2A for correct measurement in mm M1 Measure on final copy (2) 1.1.5 Total nett income = R11 335 + R14 363 üM 1M for adding correct values = R25 698 üA 1A total net income F1 (2) 1.1.6 Income received after deductions üüA 2A income after deductions OR Take home pay F1 OR Gross income – Deductions (2) 1.2.1 Value Added Tax üüA 2A Value Added Tax F1 (2) 1.2.2 VAT = R1 999 × 15% üM 1M for multiplying by 15% = R299,85 üA 1A calculating VAT F1 (2) 1.2.3 One unit on the picture / diagram represents fifty units in reality üüO 2O for correct wording MP1 (2) 1.2.4 4 wheels üüA 2A correct number of wheels M1 (2) 1.2.5 The price at which the shop sells a product / bag to the public / customers. üüO 2O correct definition in context F1 (2) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 4 NW/September 2019 NSC-Marking guidelines Q Answer Explanation Level 1.3.1 One million six hundred and fifty-nine thousand seven hundred and ninety-three. üüO 2O correct wording 1DH (2) 1.3.2 KwaZulu-Natal üüRT 2RT correct province 1DH (2) 1.3.3 Number of visitors = 1 659 793 × 40% üM 1M for multiplying by 40% = 663 917,2 1DH = 663 917 üA 1A number of visitors (2) 1.3.4 20% : 10%üM 1M correct percentages in correct 2 : 1 üS order 1DH 1S for simplification (2) 1.3.5 0% üüA 2A correct probability 1P (2) [32] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 5 NW/September 2019 NSC-Marking guidelines QUESTION 2 Q Answer Explanation Level 2.1.1 Happy Life Street üüRT 2RT correct street name F1 (2) 2.1.2 Number of days = 14 days + 17 days üM 1M for adding correct values F1 = 31 days üCA 1CA for number of days (2) 2.1.3 Number of instalments paid = 72 – 28 üMA 1MA subtracting correct values F1 = 44 üA 1A for number of instalments (2) 2.1.4 üRT 1RT for R57,50 15 15 VAT = R57,50 × üM 1M for multiplying by or 115 115 = R7,50 üCA or dividing by 1,15 OR 1CA VAT value VAT = R57,50 × = R50,00 F2 R57,50 – R50,00 = R7,50 OR R57,50 1,15 = R50,00 R57,50 – R50,00 = R7,50 (3) 2.1.5 üRT üM 1RT correct values R70 646,51 + R703,72 1M adding correct values = R71 350,23 OR F1 R73 613,74 – R2 967,23 + R703,72 = R71 350,23 (2) 2.1.6 Total amount 1RT correct values from table üRT = 72 × R2 967,23 üM 1M multiplying value by 72 F2 1CA total amount = R213 640,56 üCA (3) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 6 NW/September 2019 NSC-Marking guidelines Q Answer Explanation Level 2.1.7 Money saved CA from Q2.1.6 üRT 1RT correct value = R213 640,56 – R151 140 üM 1M subtracting correct values F2 1CA amount of money saved = R62 500,56 üCA (3) 2.2.1 üO Money received especially on a regular basis for 1O money received F1 work or through investments üO 1O for work or investments (2) 2.2.2 üA üA 1A R45 Income = R45 × number of cars washed 1A number of cars F1 (2) 2.2.3 Direct üA 1A Direct As the one value increases, the other value 1O correct reason F1 increases. üO (2) 2.2.4 R1 170 1M for dividing by 45 A= üM 1CA answer = 26 üCA 1M for multiplying by 20 F2 1CA answer B = R45 × 20 üM (4) = R900,00 üCA 2.2.5 Total income = R495 + R765 + R1 170 + R1 485 + R900 + 1M adding all correct values F1 R1 260 üM 1CA total income = R6 075 üCA (2) R10 000 + R10 000 = R20 000 ü A 1 A correct total spending 1 MA diving by 0,438 2.3.1 = ü MA 1 A correct final answer F1 , (3) = 45 662,10 Thai baht ü A , 2.3.2 15 000 × × 2 üSF 1 SF substituting into formula 1 A answer of interest 1 M adding = R1 170 ×2 1 CA final amount (4) F1 = R2 340 (interest) üA = R15 000 + R2 340 üM = R17 340 üCA 2.3.3 7 × 3 × 2 × R12 üüMA 2 MA calculating total = R504,00 üA 1 A final amount F3 (3) [39] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 7 NW/September 2019 NSC-Marking guidelines QUESTION 3 Q Answer Explanation Level 3.1.1 Radius = 67 mm ÷ 2 üM 1M dividing by 2 M1 = 33,5 mm üA 1A radius (2) 3.1.2 Volume of cylinder 1SF substituting radius from Q.3.1.1 1SF substituting height = × radius × radius × height M2 = 3,142 × 33,5 × 33,5 × 60 üüSF 1CA for volume = 211 566,57 mm3 üCA (3) 3.1.3 Total surface area = side × side × 6 üRT 1RT correct values M2 = 57 mm × 57 mm × 6 üSF 1SF correct substitution = 19 494 mm2 üCA 1CA for total surface area (3) 3.2.1 Time in seconds üM 1M for multiplying by 60 = 6 × 60 + 53 M1 = 413 seconds üCA 1CA answer in seconds (2) 3.2.2 Total time = 10,8 + 13,6 + 16,1 + 23,1 + 23,2 + 23,9 1M adding all correct values + 24,3 + 24,8 + 26,7 + 29,3 üM = 215,8 seconds üCA 1CA answer in seconds 215,8 ÷ 60 M2 = 3,596666666667 1CA minutes = 3 minutes + 0,596666666667 × 60 1CA seconds = 3 minutes 35,8 seconds üüCA (4) 3.3.1 Area = Length × Width = 8 cm × 4,2 cm üMA 1MA calculating area of one face = 33,6 cm2 Area = Length × Width 1MA calculating area of the other face = 8 cm × 3 cm üMA M2 = 24 cm2 1M adding all areas and multiplying one area by 2 Total area = 33,6 + (2 × 24) üM 1CA total area = 81,6 cm2 üCA (4) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 8 NW/September 2019 NSC-Marking guidelines Q Answer Explanation Level 3.3.2 Perimeter = 4,2 cm + 3 cm + 3 cm üM 1M adding all correct values = 10,2 cm × 10 üC 1C converting to mm M2 = 102 mm üA 1A answer in mm (3) 3.4.1 Total flour = 2 × 6 × 250 ml üM 1M for multiplying by 2 and by 250 M2 = 13,5 × 250 ml 1CA for answer in ml = 3 375 ml üCA (2) 3.4.2 °C = (°F – 32°) ÷ 1,8 1SF substituting into the formula = ( 375 – 32 ) ÷ 1,8 üSF 1CA rounded answer in 0C M1 = 190,55555… = 190 0C üCA Penalty for not rounding correctly (2) 3.4.3 Number of tablespoons = × 2 üM M for dividing by 24 and multiplying by 2 M2 = 6 üCA 1CA number of tablespoons (2) [27] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 9 NW/September 2019 NSC-Marking guidelines QUESTION 4 Q Answer Explanation Level 4.1.1 North East üü A 2 A Answer MP1 (2) 4.1.2 1 hour 10 min OR 1h10 üü RG 2 RG MP1 No marks if learner wrote 1:10 or 13:10 (2) 4.1.3 6:59 + 1 hour 10 min ü MA 1 MA Addition = 08:09 ü A 1 A Answer MP1 (2) 4.1.4 ( ) 1 C Conversion to hours = ( ) 1 SF correct substitution 1 MA correct multiplication Time : 50 min = 0,833333… 1 A Answer = 0,83 hours ü C ( ) Accept 750 km 900 /ℎ = ü SF MP3 , = 900 ⁄ℎ × 0,83 ℎ ü MA = 747 üA (4) 4.1.5 P(Flight of 1 hour) = × 100 üüA 1A numerator 1A denominator = 33,33% üA 1A simplification as a percentage P2 No Penalty for Rounding (3) 4.2.1 Six OR 6 üüA 2A correct number of doors MP1 (2) 4.2.2 7; 8; 10; 11; 12; 20 and 21 üüA 2A correct number of rows Penalty: MP1 One missing value one mark Two or more missing values no marks (2) 4.2.3 Length of plane on the plan üRT 1RT correct value = 50m × 1000 üC 1C converting m to mm MP2 = üM 1M dividing by 200 1CA answer in mm = 250 mm üCA (4) [21] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 10 NW/September 2019 NSC-Marking guidelines QUESTION 5 Q Answer Explanation Level 5.1.1 0,25 km OR 250 m üüRT 2 RT reading from table DH1 (2) 5.1.2 49 üüRT 2 RT reading from table DH1 (2) 5.1.3 Questionnaire üüA 2A correct data collection instrument OR (2) DH1 Survey 5.1.4 15,18,19,20,25,25,27,28,28,28,29,30,30, 1M arranging all correct values 30,33,34,37,38,38,39,39,40,41,43,49 üM DH2 Median = 30 üüA 2A correct median (3) 5.1.5 Mode(s) = 28; 30 üüA 2A Bi-modal DH1 (2) 5.1.6 Mean üA 1 A for sumtotal or addition of all = correct values 1 MA dividing by 25 DH2 üMA 1CA final answer = 31,32 üCA (3) 5.1.7 Continuous data üüA 2A continuous DH1 (2) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 11 NW/September 2019 NSC-Marking guidelines Ques Answer Explanation Level 5.2 Distance Tally Frequency 0 – 0,5 ǀǀǀǀ ǀǀ 7 0,6 – 1 ǀǀǀǀ 5 üA 1,1 – 1,5 ǀǀǀǀ ǀ 6 1,6 – 2 ǀǀ 2 üA 2,1 – 2,5 ǀ 1 2,6 – 3 ǀǀǀ 3 üA 3 – 3,5 ǀ 1 DH1 TOTAL: 25 üüA 1A first 2 correct tally and frequencies 1A second correct tally and frequencies 1A last three correct tally and frequencies 2A Total Penalize 1 mark if Tally and Frequency columns are swopped around (5) 5.3 IQR = Q3 – Q1 üRT 1RT Correct values = 38 – 26 üM 1M subtract in correct order DH2 = 12 üCA 1CA Answer (3) üRT 5.4 1RT correct values in correct order × 100 üM 1M Multiply by 100 DH2 = 16% üCA 1CA Answer as a percentage (3) 5.5.1 11 2A Answer OR 44% OR 0,44 üüA (2) P2 5.5.2 = 0,36 üüA 2A Correct decimal P2 (2) [31] TOTAL : 150 Copyright reserved Please turn over