Mathematical Literacy Grade 12 IEB Paper 1 2019 Memo

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2019 MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Time: 3 hours 150 marks These marking guidelines are prepared for use by examiners and sub-examiners, all of whom are required to attend a standardisation meeting to ensure that the guidelines are consistently interpreted and applied in the marking of candidates' scripts. The IEB will not enter into any discussions or correspondence about any marking guidelines. It is acknowledged that there may be different views about some matters of emphasis or detail in the guidelines. It is also recognised that, without the benefit of attendance at a standardisation meeting, there may be different interpretations of the application of the marking guidelines. IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 2 of 10 QUESTION 1 QUESTION ANSWER SKILLS ASSESSED 1.1.1 (a) 1 May 2016 1 May 2016 1.1.1 (b) Sunday Sunday 1.1.2 R38 – R20 Subtraction of correct values = R18 R18 18 1.1.3 20 100 Correct numerator Correct denominator = 90% 90% 1.1.4 33  26  29  25  20  23  24 Sum of data 7 Dividing by 7 = 180 ÷ 7 R25,71 = R25,71 1.1.5 (a) 5,27% 5,27% 1.1.5 (b) 2016 – 2017 Increase by 5,27% R26,00 × 1,0527 R27,3702 = R27,3702 Increasing R27,3702 by % R28,68 2017 – 2018 R27,3702 × 1,0478 = R28,68 1.2.1 Labour OR $1,70 Labour OR $1,70 1.2.2 35c:30c Ratio (correct values in correct 7:6 order) Simplified ratio 1.2.3 0,35 × 100 3 = 11,67% OR Fraction values correct 35 11,67% × 100 300 = 11,67% 12%; 11,7% accepted 1.2.4 0,45c × 1 200 Multiply by 1 200 = $540 $540 OR 45 × 1 200 = 54 000 c IF $54 000, award unit penalty 1.2.5 540 ÷ 0,13301 Division by exchange rate = R4 059,85 (money rounding penalty) R4 059,85 1.3 $3 ÷ $0,50 Division by correct values = 6 times 6 1.4.1 Clicks Clicks 1.4.2 R1 299 R1 299 IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 3 of 10 1.4.3 1 299 Division 1,15 1,15 = 1 129,57 R1 129,57 1.4.4 0,25 × 1 299 25% of 1 299 = R324,75 Subtraction of 25% of 1 299 1 299 – 324,75 R974,25 = R974,25 OR OR Subtraction from 100% = 75% 0,75 × 1 299 75% of 1 299 = R974,25 R974,25 1.5.1 180 ÷ 2 Division by 2 = R90/bag R90 1.5.2 1 000 g ÷ 250 g Number of bags =4 Cost per bag multiplied by number of bags R90 × 4 = R360 1.5.3 (a) 1 pound = 16 ounces Division by 0,454 1 pound = 0,454 kg Multiplication by 16 35 ounces Therefore 16 ounces = 0,454 kg 1 ÷ 0,454 × 16 = 35,24 = 35 ounces OR 16 ÷ 0,454 = 35,24 = 35 ounces 1.5.3 (b) 0,08 × 35 CA from 1.5.3. (a) = US$2,80 Cost ($/ounce) multiplied by 35 US$2,80 OR = US$2,82 if they used previous unrounded value on their calculator. IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 4 of 10 QUESTION 2 QUESTION ANSWER SKILLS ASSESSED 2.1.1 10:15 10:15 IF 10:15 pm 2.1.2 10:41 – 10:15 26 minutes = 26 minutes 2.1.3 2 047,2 + 3 669,5 Addition of 2 distances = 5 716,7 5 716,7 2.1.4 1 270 406 × 2 2 540 812 = 2 540 812 Two million five hundred and forty Two million five hundred and forty thousand eight hundred and twelve thousand eight hundred and twelve IF Have a different large number and correctly written in words 2.2.1 10 050 + 6 000 Addition of values = 16 050 m Conversion of 6 km 16 050 m OR 10,05 + 6 = 16,05 km = 16 050 m 2.2.2 9 843 × 0,3048 Multiplication by 0,3048 = 3 000,15 m 3 000 m A accurately illustrated on graph OR 1 m = 3,28 feet 9 843 ÷ 3,28 = 3 000,914 m A 2.3.1 East East (accept North East) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 5 of 10 2.3.2 1 : 5 000 Correct use of scale 5,4 × 5 000 Conversion = 27 000 cm = 270 m (÷100) OR 54 × 5 000 = 270 000 mm = 270 m (÷1 000) IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 6 of 10 QUESTION 3 QUESTION ANSWER SKILLS ASSESSED 3.1.1 80 minutes 80 minutes (accept 1h20) 3.1.2 20 min + 1 hour + 25 min + 1 min + Addition of the correct times 3 min + 12 min Correct time to add = 1 hour + 61 min OR 121 min 11:31 = 2 hours 1 min 09:30 + 2 hrs 1 min = 11:31 IF 1 hr 44 min = 11:14 accept OR 2 hrs 4 min = 11:34 accept 3.1.3 100° 100° 3.1.4 5 176,667 °C = (350 – 32) Rounding 180 °C 9 °C = 176,667 °C = 180 °C 3.1.5 (a) 1ℓ 1ℓ 3.1.5 (b) 360 × 2,36 ml Multiplying correct values = 849,6 850 ml = 850 ml B correctly marked on measuring jug OR 3 2 4 × 250 ml = 687,5ml = 690 ml Check B on the measuring jug B IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 7 of 10 3.2.1 20 cm ÷ 2,54 Division by 2,54 = 7,87 7,87 or 8 inch = 8 inch A or B A or B OR Multiplication by 2,54 8 inch × 2,54 20,32 or 20 cm = 20,32 cm A or B A or B 3.2.2 d = 20 Radius r = 10 Substitution of correct values 1 885,2 cm³ or 2 493,18 cm³ 3,142 × 10² × 6 = 1 885,2 cm³ OR d = 23 r = 11,5 3,142 × 11,5² × 6 = 2 493,18 cm³ 3.2.3 L² × H = 1 885,2 Substitution L² × 6 = 1 885,2 Division by 6 L² = 1 885,2 ÷ 6 Square rooting L² = 314,2 18 cm or 20 cm L = 314,2 L = 17,7 cm L ≈ 18 cm OR L² × H = 2 492,85 L² × 6 = 2 492,85 L² = 2 492,85 ÷ 6 L² = 415,475 L = √415,475 L = 20,38 cm L ≈ 20 cm 3.3.1 Length: Addition 10 + 22 + 10 + 22 + 20 74 cm = 74 cm 42 cm Width: 10 + 22 + 10 = 42 cm 3.3.2 74 × 42 Multiplication = 3 108 cm² (unit penalty) 3 108 cm² IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 8 of 10 QUESTION 4 QUESTION ANSWER SKILLS ASSESSED 4.1.1 Shakespeare's works accurate plotting gaps for bar graph Comedies Long Poems Histories Tragedies Sonnets 4.1.2 154 + 11 + 17 + 10 + 4 Addition = 196 196 OR 154 +38 + 4 = 196 4.1.3 154 ÷ 196 × 100 Division by correct values = 78,6 78,6 = 80% 80% 4.1.4 17 ÷ 196 × 360 Multiplication by 360 = 31,22 ° 31,22 ° 4.2 6 Numerator 27 Denominator 2 2 = 9 9 4.3.1 1 361 1 361 4.3.2 1 361 – 605 Subtraction = 756 756 4.3.3 1 380 – 1 221 Subtraction = 159 159 4.3.4 (a) 2 950 ÷ 10 Sum of all data = 295 Division by 10 295 4.3.4 (b) Hamlet, Duke of Gloucester, Hamlet, Duke of Gloucester, Othello, Othello, Iago, Anthony, Richard III, Iago, Anthony, Richard III, Timon, Timon, Cleopatra Cleopatra IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 9 of 10 QUESTION 5 QUESTION ANSWER SKILLS ASSESSED 5.1 2,9 cm : 100 km 2,9 cm 11,3 cm ÷ 2,9 × 100 Calculating distance = 389,655 km 389,665 km Accept range 2,8 to 3 cm OR 1,45 cm : 50 km 11 m 3 cm ÷ 1,45 × 100 = 389,655 km 5.2.1 Avengers: Infinity War Avengers 5.2.2 100 + 94 + 93 + 69 + 55 + 45 + 36 + Estimating correct values 35 + 34 + 31 (realistic estimation) Addition of values = 592 Rounding = 600 5.2.3 January 29 to March 31 62 days = 62 days Division by number of days $16 129 032,26 $1 000 000 000 ÷ 62 = $16 129 032,26 OR = $0,01612903226 billion/day = $0,02 billion/day OR for Afrikaans students $16 129 032 260 5.3.1 F9 F9 5.3.2 22 × 76 Multiplication by = R1 672 76 R1 672 5.3.3 14 × 12 + 12 method = 180 180 186 accepted if 6 shaded-out seats included 5.4 R76 × 3 3 = R228 Multiplication by 3 R228 5.5.1 1 1 4 4 1 1 𝑂𝑅 12 accepted due to varieties 8 given on image 5.5.2 1 1 3 3 IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 10 of 10 5.5.3 1 1 Multiplication of 2 probabilities  4 3 1 1 12 = 12 Variations of answers accepted if students multiply answers to Q 5.5.1 and Q 5.5.2 1 1 OR 24 36 5.5.4 25  1,85 Difference between cost & selling × 100 price 1,85 Division by cost = 1 251,35% 1 251,35% Total: 150 marks IEB Copyright © 2019