Math Lit P2 MG 2017 hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2017 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. Topics Finance Maps and Plans Measurement Probability Data Handling IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 2 of 8 1.1 Salary Increase of 6% Salary for: at end of: Year 1: R216 000 6% × R216 000 Year 1: R12 960 Year 2: R228 960 6% × R228 960 Year 2: R13 737,60 Year 3: R242 697,60 1.2 R216 000 × 15% = R32 400 R228 960 × 15% = R34 344 R242 697,60 × 15% = + R36 404,64 R103 148,64 OR R216 000 + R228 960 + R242 697,60 = R687 657,60 × 15% = R103 148,64 1.3.1 R3 640 × 100% R20 800 = 17,5% ∴ 27 years old 1.3.2 R290 000 × 21,4% = R62 060 1.3.3 27,5% – 28,5% Between 27% – 27,4% Between than 26,2% – 26,9% Between 28,6% – 29,9% 1.3.4 Each year, the amount increases by an additional 0,1% from the previous (a) increase. OR + 1 ; + 1,1 ; + 1,2 ; + 1,3 ; + 1,4 etc. 1.3.4 29,9% + 2% + 2,1% (b) = 34% 1.4.1 1 R2 250 000 × (or ÷ 3) 3 = R750 000 or R0,75 million 1.4.2 Tax = R36 000 + 27% × (R750 000 – R700 000) = R36 000 + 27% × R50 000 = R36 000 + R13 500 = R49 500 ∴ R750 000 – R49 500 = R700 500 R700 500 ∴ × 100% R750 000 = 93,4% ≈ 93% IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 3 of 8 1.5.1 3 inches = 7,5 cm = 0,075 m 12 feet = 3,6 m 3,6 m + 0,075 m = 3,675 m 1.5.2 3,675 m × 4,8 m = 17,64 m2 = 18 m2 1.5.3 3 cm = 2,4 m 3 cm = 2,4 m 3 cm = 240 cm OR 1 cm = 0,8 m 1 : 80 1 cm = 80 cm 1 : 80 1.5.4 Continue along Padfield Road until you get to a 4-way stop/intersection. Turn right into Doone Road. Keep right and the entrance will be on your left. *Can use compass directions. 2.1.1 25th 2.1.2 8,8 (kg) 2.1.3 4 (months) 2.1.4 31 lb – 24,5 lb = 6,5 lb OR 14,1 kg – 11,2 kg 6,5 lb = 2,95 kg = 2,9 kg ≈ 2,95 / 3 kg 2.1.5 (27 months) 90th percentile 2.1.6 90 (%) 2.2.1 176 000 − 114 000 × 100 114 000 = 54,39% ≈ 54% OR 176 000 × 100 114 000 = 154,4% 154,4% – 100% = 54,4% 2.2.2 Number of years is different 2016 – 2021 = 5 years 2029 – 2034 = 5 years 2021 – 2029 = 8 years IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 4 of 8 2.2.3 YEAR GRADE AMOUNT 2016 1 R29 000 2017 2 R29 000 2018 3 R29 000 2019 4 R29 000 2020 5 R29 000 2021 6 R45 000 2022 7 R45 000 2023 8 R176 000 2024 9 R176 000 2025 10 R176 000 2026 11 R176 000 2027 12 R176 000 2028 1st Year R77 000 2029 2nd Year R154 000 2030 3rd Year R154 000 R1 500 000 OR 2016–2020 : 5 × R29 000 = R145 000 2021–2022 : 2 × R45 000 = R90 000 2023–2027 : 5 × R176 000 = R880 000 2028 : 1 × R77 000 = R77 000 2029–2030 : 2 × R154 000 = R308 000 TOTAL = R1 500 000 2.3.1 50 000 + 42 010 + 40 700 + ... 14 507 Mean = 10 345 996 = 10 = R34 599,60 / R34 600 2.3.2 Range = R50 000 – R14 507 = R35 493 2.3.3 University of Limpopo would fall between University of Venda and Unisa. 11 Values. Value 6 is the median. Stellenbosch University IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 5 of 8 3.1 Depth 2 – Depth 1 = 1,2 m – 0,6 m OR 20 160 ÷ 2 = 0,6 m (Half) = 10 080 ℓ 20 160 ℓ + 10 080 ℓ V = (1/2 × 0,6 × 7) × 4,8 = 30 240 ℓ V = 2,1× 4,8 ∴ she is correct V = 10,08 m3 V = 10,08 m3 × 1 000 = 10 080 ℓ Total volume = 20 160 ℓ + 10 080 ℓ = 30 240 ℓ She is correct. 3.2 30 000 ℓ ÷ 1 000 = 30 m3 V = π × r2 × ht 30 m3 = 3,14 × (2,4)2 × ht 30 m3 = 18,0864 m2 × ht 30 m3 = ht 18,0864 m2 1,6587 ... = ht/depth 1,7 m = ht/depth 3.3 P = 7 m + 4,8 m + 7 m + 4,8 m = 23,6 m C = π × 4,8 m = 15,08 m/15,07 m 23,6 m + 15 m = 38,6 m 38,6 × 110% ≈ 42,3 m (could be 42,5 m if only rounded at the end) 3.4 30 000 ℓ ÷ 10 000 ℓ OR 10 kg : R325 = 3 × 40 g 3,72 kg = 120 g per day × 31 days = R120,90 = 3 720 g for the month 10 000 g = R325,00 325 1g= 10 000 325 3 720 g = × 3 720 10 000 = R120,90 [1 g = R0.0325] o o 3.5 19 C to 25 C 19 × 9 ÷ 5 + 32 25 × 9 ÷ 5 + 32 = 66,2 = 77 oF 77 oF – 66,2 oF = 10,8 oF 25 – 19 = 6 oC 6 × 9 ÷ 5 + 32 = 42,8 oF ***INCORRECT*** IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 6 of 8 4.1.1 0,5 inches = 12,7 mm (a) 1 inch = 12,7 mm × 2 = 25,4 mm 15 inches = 25,4 mm × 15 = 381 mm ∴ 381 mm ÷ 10 OR = 38,1 cm 0,5 inches = 12,7 mm 20 mm = 0,7874 inches 38,1 cm ÷ 2 cm 15 ÷ 0,7874 /0,8 = 19,05 times bigger = 19,05 times bigger OR 0,5 inches = 27,7 mm 15 inches = 381 mm 381 ÷ 20 mm = 19,05 times bigger OR Model: 19 × 20 mm = 380 mm 380 mm ÷ 12,7 mm × 0,5 = 14,96 inches 14,96 ≈ 15 4.1.1 19 : 1 OR 381 : 20 (b) 4.1.2 1,8 cm = length of drone IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 7 of 8 4.1.3 24 km = 60 min OR 24 km = 1 hour 60 10 km = 0,416 … Hr 1 km = 24 = 25 min 60 = 1 500 sec 10 km = 24 = 25 min [0,42 = 302 400] 25 min × 60 200 times : 1 sec = 1 500 sec × 200 times/sec 1 500 sec = 300 00 times = 300 000 times OR 3600 sec × 200 = 720 000 720 000 × 10 ÷ 24 = 300 000 4.2.1 a – 20 b – 12 c – 85 d – 167 4.2.2 20 167 4.2.3 10 2 OR 85 17 4.2.4 Male chosen at random Has black eyes 4.2.5 35 20 + 167 167 55 = × 100% 167 = 32,93% IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER II – MARKING GUIDELINES Page 8 of 8 4.2.6 Eye Colour in my grade 50 45 40 35 Number of students 30 25 Male 20 Female 15 10 5 0 Black Brown Blue Green Gray Eye Colour Total: 150 marks IEB Copyright © 2017