Mathematical Literacy Grade 12 IEB Paper 1 2016 Memo

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2016 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 © 2016 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 2 of 6 QUESTION 1 1.1 31/12/2015 1.2 R925,58 ÷ R1036,60 × 100 = 89,29% OR R811,92 ÷ R909,31 × 100 = 89,29% OR R89,74 + R12,56 = R102,30 OR R1,90 + R30,20 + R12,55 + R57,65 =102,30 1.3 1.3.1 A = R1036,60 – 8,72 – 925,58 = R102,30 OR 12,56 ÷ 0,14 × 1,14 = R102,27 1.3.2 B = R1036,60 – R127,29 = R909,31 OR R127,29 ÷ 0,14 × 1 = R909,21 OR R1036,60 ÷ 1,14 = R909,30 OR R811,92 + 89,74 + 7,65 = R909,31 1.3.3 C = R909,31 – R7,65 – R811,92 = R89,74 OR R12,56 ÷ 14% = R89,71 OR R102,30 – R12,56 = R89,74 OR R1,67 + R26,49 + R11,01 + R50,57 = R89,74 1.3.4 D = R89,74 – R50,57 – R26,49 – R1,67 = R11,01 OR R12,55 – R1,54 = R11,01 1.4 R15,79 × 14% = R2,21 1.5 R7,65 ÷ 5 = R1,53 1.6 1.6.1 1:33 = 60 + 33 = 93 sec 1.6.2 R2,04 ÷ 93 = R0.02 = 2,2 cent OR 204 cents ÷ 93 = 2,19 cents QUESTION 2 2.1 90 cm – 1 cm – 1 cm = 88 cm 2.2 88 cm ÷ 8,1 cm = 10,86 = 10 files 2.3 31,5 × 2,54 = 80,01 = 80 cm 2.4 80 cm – 2 cm – 1 cm – 1 cm – 35 cm = 41 cm 2.5 2.5.1 A=l×b = 90 cm × 80 cm = 7 200 cm2 2.5.2 7 200 cm2 ÷ 10 000 = 0,72 m2 2.5.3 0,72 m2 ÷ 6 = 0,12ℓ 2.5.4 0,12 ℓ × 1 000 = 120 mℓ IEB Copyright © 2016 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 3 of 6 QUESTION 3 3.1 3.1.1 486 km 3.1.2 Southerly Direction OR South Easterly 3.1.3 N3 3.1.4 (a) 35 × 13 = 455 km (b) No, she will not be able to travel on one tank of petrol. 3.2 3.2.1 a = 3,5 cm (accept between 3,3–3,7) 3.2.2 b = 1,5 m × 100 = 150 cm 3.2.3 1 : 42,86 (accept between 45,45–40,54) 3.2.4 14,8 cm (accept between 14,6–15) 3.2.5 14,8 × 42,86 = 634,33 ÷ 100 = 6,34 (accept between 6,25–6,43) 5 1 3.2.6 = OR 0,2 OR 20% 25 5 QUESTION 4 4.1 2050 – 2017 = 33 + 1 = 34 years 4.2 8 million tons or 8 000 000 tons 4.3 8 000 000 × 1 000 8 000 000 000 kg 4.4 (a) 913, 24 × 24 = 21 917,76 t OR 8 000 000 ÷ 365 = 21 917,81 t (b) 913, 24 ÷ 60 = 15, 22 t OR 8 000 000 ÷ 365 ÷ 24 ÷ 60 = 15,22 t 4.5 15,22 t (accept 15 t) 4.6 4 × 15,22 = 60,88 t IEB Copyright © 2016 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 4 of 6 4.7 4.7.1 Title: Plastic that ends up in the ocean 35 Axis Title: Plastic in million tons 30 (2050; 32) 25 20 15 (2030; 16) 10 5 (2016; 8) 0 2010 2015 2020 2025 2030 2035 2040 2045 2050 2055 Axis Title: Years 4.7.2 24 million t 4.8 4.8.1 2002–2010 4.8.2 China (accept Shanghai) 4.8.3 (a) 34 – 4,2 = 29,8% 34 + 27 + 26,8 + 22 + 18 + 13 + 12,5 + 12 + 11,5 + 4, 2 (b) 10 181 = 10 = 18,1% 13 + 18 (c) = 15,5 % 2 IEB Copyright © 2016 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 5 of 6 QUESTION 5 5.1 700 000 + 41 000 + 225 900 + 100 000 + 135 000 + 70 000 = R1 271 900 5.2 5.2.1 Standard Bank MoneyMarket Call Account 5.2.2 Y1: 700 000 × 105,65% = 739 550 Y2: 739 550 × 105,65% = 781 334,58 OR A = 700 000(1 + 5,65%)2 = 781 334,58 Simple Interest Option 700 000 × 5,65% = 39 550 700 000 + 39 550 × 2 = 779 100 OR A = 700 000 (1+5,65% × 2) = 779 100 5.2.3 5.3 5.3.1 225 900 × 0,83 = 187 497 187 497 × 0,83 = R155 622,51 OR A = 225 900 (1 - 17%)2 = 155 622,51 Simple Interest Option 225 900 × 17% = 38 403 225 900 – (38403 × 2) = 149 094 OR A = 225 900 (1 – 17% × 2) = 149 094 5.3.2 225 900 × 109,2% = 246 682,80 246 682,80 × 109,2% = R 269 377,62 5.3.3 269 377,62 – 155 622,51 = R113 755,11 IEB Copyright © 2016 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 6 of 6 5.4 5.4.1 50 × 10 = 500 people 5.4.2 500 × R450 = R225 000 5.5 5.5.1 A = πr2 A = 3,14 × (2,5)2 A = 19,63 m2 = 20 m2 5.5.2 (a) A = 2πrh A = 2 × 3,14 × (2,5) (1,2) A = 18,84 m2 (b) 18,84 ÷ 2, 4= 7,85 ≈ 8 ∴ ∴ 8 cans 5 5.6 5.6.1 1 OR 100% OR 5 OR certain 1 5.6.2 × 100 5 = 20% Total: 150 marks IEB Copyright © 2016