Mathematical Literacy Grade 12 IEB Paper 2 2019 Memo

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2019 MATHEMATICAL LITERACY: PAPER II 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 II – MARKING GUIDELINES Page 2 of 6 QUESTION 1 1.1 C = 21k + 10 1.2 (5,5; 125,50) (step) (2; 52) (0;31) (1;31) 1.3 R136 (second mark: A on the graph) OR R125,50 (if straight line) 1.4 1.4.1 45  0,000264172 = 170 343,564 ml ÷ 1 000 = 170,343 ℓ ≈ 170 ℓ OR 15 gallons = 56,8 ℓ 45 ÷ 15 = 3 56,8 × 3 = 170,4 ℓ 8,28  7,14 1.4.2  100%  15,97% ≈16% incorrect. 7,14 OR 7,14 × 115,97% = 8,275 ≈ 8,28 ∴ Correct 1.4.3 170  1 000 = 0,17 kℓ 0,17 × 3 = 0,51 0,51 × 8,28 = R 4,22 (if not rounded they get 4,23) OR 6 kg per week ÷ 2 kg = 3 loads 3 loads × 170 ℓ = 510 ℓ per week = 0,51 kℓ 0,51 kℓ × R8,28 = R4,22 OR 8,28 ÷ 1 000 = 0,00828 0,00828 × (3×170) = R4,22 IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 3 of 6 1.4.4 R129 + R4,22 (from Question 1.4.3) = R133,22 1.4.5 She should do her own, it is R2,78 cheaper. 1.5 1.5.1 1,8 + 0,3 = 2,1 × 2 = 4,2 1,2 × 2 = 2,4 4,2 + 2,4 = 6,6 m OR  30  2 1,2  1,8    100  = 2(3,3) = 6,6 m 1.5.2 2,1 + 1,2 = 3,3 4 – 3,3 = 0,7 × 2 = 1,4 m OR 8 m – 6,6 m = 1,4 m OR 6,6 ÷ 4 = 1,65 ≈ 2 poles 8 m – 6,6 m = 1,4 m 1.6 1.6.1 1,2 – 0,05 = 1,15 m 1,15  7 = 0,164 m = 16,4 cm OR 1,2 m = 120 cm 120 cm– (2 × 2,5 cm) = 115 cm 115 cm ÷ 7 = 16,428 … = 16,4 cm 1.6.2 (4 + 3) × 16,4 = 114,8 cm 350 cm × 8 = 2 800 cm 2 800 + 114,8 = 2 914,8 cm = 29,148 m  30 m OR 7 × 0,164 = 1,148 3,5 × 8 = 28 1,148 + 28 = 29,148 ≈ 30 m OR 350 × 8 = 2 800 2 800 + 115 = 2 915 = 29,15 ≈30 QUESTION 2 2.1 2.1.1 26 –20 = 6 281 2.1.2  23,41  23 (If only used the seven Top12s = 1 mark only) 12 2.1.3 23 23  24 2.1.4  23,5 2 IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 4 of 6 2.1.5 There is no 3rd position because 3rd, 4th and 5th are all ranked top 5. OR It does not say it in the table (1 mark only) 2.1.6 Contestants per province 6 5 Number of contestants 4 3 2 1 0 Mpumalanga Gauteng KwaZulu-Natal Free State Western Cape Eastern Cape Northern Cape Province 2.2 2.2.1 R25 000: R250 000: R1 000 000 1 : 10 : 40 OR R25 000: R275 000: R1 000 000 1 : 11 : 40 (2 marks only) 2.2.2 3 000 000– 1 000 000 – 445 500 = R1 554 500 1 000 000  25 000 2.2.3  100%  3 900% 25 000 1 2.3 2.3.1 5 : 15  9 3 = 5:15 + 9:20 = 14:35 14:35 + 3:30 = 18:05 OR 1 1 1 54 + 93 + 32 13 = 17 12 1 = 18 12 = 18:05 2.3.2 14:10 + 18:05 = 8:15 am 13:15 – 8:15 = 5 hours ahead  GMT +7 time zone IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 5 of 6 OR 24:00 – 14:10 = 9:50 +13:15 = 23:05 –18:05 = 5 hours GMT2 + 5 = 7 d 27,9 2.3.3 t    0,558 hours s 50 0,558 hours = 34 minutes 13:15 + 0:34 + 0:30 = 14:19  She will not get there on time. QUESTION 3 140 000 000 3.1 3.1.1  1,1906 117 580 000 = 1 : 11 : 30 3.1.2 140 million × 7 = 980 million  Not exactly 1 billion/False OR 1 000 000 000 = 7,14 days 140 000 000 = 1 week and 1 day ∴ False 3.2 3.2.1 Heading and axes titles OR y-axis on Graph B doesn't start at zero OR there are only 2 quarters shown for 2016 OR no X or Y axes labels. 3.2.2 The y-axis increments 3.2.3 Employee – Graph B because huge change Boss – Graph A because there is not much change in the bars 3.2.4 1,481 × 142,47% = $2,11 bill OR x  1,481  100%  42,47% 1,481 x  $ 2,11 billion IEB Copyright © 2019 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 6 of 6 QUESTION 4 4.1 Length = 7,8 cm Width = 4,6 cm (2 mm leeway in drawing the rectangle) 4.2 4.2.1 The mistake is that they divide volume by volume. 4.2.2 Correct answer: 6 Length:  6,1  6 0,97 2,4 Width:  24 0,1 2,6 Height:  4,4  4 0,59 6  24 4  576 TVs He is correct 1 1 1 4.3 4.3.1   3 60 180 4.3.2 Probability increases because you have excluded a container. 1 1 1   2 60 120 4.4 4.4.1 28 930 × 18,74% a = ¥5 421,482 5 421,482 × 576 = ¥3 122 773,632 3 122 773,632  7,82 = R399 331,67 OR 28 930 ÷ 7,82 = R3 699,4885 3 699,4885 × 18,74% = 693,2841 693,2841 × 576 = R399 331,67 4.4.2 28 930 × 118,74% = ¥34 351,482 34 351,482  7,82 = R4 392,77 OR R399 331 ÷ 576 = R693,28 R693,28 + R3 699,49 = R4 392,77 4.4.3 R4 392,77 × 115% = R5 051,6855  R5 051,69 Total: 150 marks IEB Copyright © 2019