Mathematical Literacy P1 Memo 2018 hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2018 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 © 2018 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 2 of 7 QUESTION 1 1.1 R6 000 000 – R500 000 = R5 500 000 1.2 6 000 000 × 1,14 = R6 840 000 OR 6 000 000 × 14% = R840 000 6 000 000 + 840 000 = R6 840 000 1.3 2015: 6 000 000 2016: 6 000 000 × 1,046 = R6 276 00 2017: 6 276 000 × 1,046 = R6 564 696 2018: 6 564 696 × 1,046 = R6 866 672,02 1.4 771 × 136 400 × 12 = R1 261 972 800 1.5 1.5.1 4% 1.5.2 4% × 8 000 000 = R320 000 1.6 1.6.1 Pete McIntosh 1.6.2 Vehicles and Utilities 1.6.3 78 400 – 36 000 = $42 400 42 400 1.6.4 78 400 × 100 = 54,08% 1.7 1.7.1 ($2 × 2) + $1,50 + $1,00 = $6,50 1.7.2 6,50 ÷ 0,080944 = R80,30 1.7.3 (a) 6,50 × 12,354 192 = R80,30 (b) No 1.7.4 1 1 Fries 3 2 1 1.7.5 McWings 1 3 CORN 2 1 1 2 Fries McDouble 1 3 2 Corn 1 Fries 1 2 McCHICKEN 3 1 Corn 2 IEB Copyright © 2018 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 3 of 7 1 1 1 a 1.7.6 × = 3 2 6 1.8 1.8.1 R111,50 ÷ 1,15 = R96,96 OR R111,50 – 13,70 = R97,80 1.8.2 16 : 57 : 56 + 13 min = 17 : 10 : 56 1.9 1.9.1 R1,82 × 12 425 kWh m = R22 613,50 R22 613,50 × 115% = R26 005,53 R26 005,53 + (R34,64 × 115%) = R26 005,53 + R39,84 = R26 045,37 OR R1,82 × 115% = R2,093 R2,093 × 12 425 kWh = R26 005,53 R26 005,53 + (R34,64 × 115%) = R26 005,53 + R39,84 = R26 045,37 OR 34,64 + (1,82 × 12 425) = 34,36 + 22 613,50 = R22 648,14 22 648,14 × 1,15 = R26 045,36 1.9.2 R26 045,37 + R174,23 OR R26 005,53 + R174,23 = R26 219,60 = 26 179,76 = R26 220 = R26 182 IEB Copyright © 2018 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 4 of 7 QUESTION 2 2.1 2.1.1 152,5 cm + 15,25 cm + 15,25 cm = 183 cm 2.1.2 152,5 cm × 274 cm = 41 785 cm² = 4,18 m² OR 1,525 m × 2,74 m = 4,18 m² 2.2 2.2.1 in : mm 10,24 : 260 10,24 : 26 (cm) ∴26 ÷ 10,24 = 2,54 cm 2.2.2 100 : 160 5:8 2.3 2.3.1 10:08 + 1 hr 58 min 10:00 + 1 hr 11:00 8 min + 58 min = 66 min = 1 hr 6 min ∴ 12:06 2.3.2 (a) 272 × 1,5 = 408 calories (b) 3 500 ÷ 500 = 7 hours 2.4 2.4.1 C = 2 × 3,142 × 31 = 194,804 ∴ 194,80 – 10 = 184,804 mm OR π × 62 mm = 194,778 mm ∴ 194,778 – 10 = 184,778 mm = 184,78 2.4.2 85% × 582 680 = 495 278 mm 2.4.3 495 278 mm ÷ 1 000 = 495,278 cm ÷1 000 = 0,5 ℓ IEB Copyright © 2018 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 5 of 7 QUESTION 3 3.1 22 × R4 000 = R88 000 3.2 3.2.1 2,6 + 2,1 cm = 4,7 cm OR 26 + 21 = 47 mm = 4,7 cm (accept mm too)(range accepted: 4,4 to 4,9 cm) 3.2.2 567 km(×100m × 1000m) = 56 700 000 cm 3.2.3 4,5 : 56 700 000 1 : 12 600 000 1 : 13 000 000 3.2.4 S = 1 682 ÷ 19 h 28 min = 1 682 ÷ 19,47 = 86,4 km/h OR S = 1 682 ÷ 19 h 28 min = 1 682 ÷ 19,5 = 86,3 km/h 3.3 3.3.1 Stellenbosch; Hermanus 3.3.2 Shuttle 3.3.3 2 3.3.4 West IEB Copyright © 2018 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 6 of 7 QUESTION 4 4.1 96:100 1 cellphone sub : 1,04 people OR 100:96 1 person : 0,96 (subscriptions) (do not accept 1 : 1) 4.2 23 : 100 1,3 mill : ? ∴ 1,3 mil ÷ 23 × 100 m = 5 652 173,913 = 5 652 173 accidents OR 23% of x = 1,3 million 1 300 000 x= 23% x = 5 652 173 a accidents 4.3 4.3.1 A driver talking on a cellphone 4.3.2 The driver is text messaging, playing a video game, or using some other kind of handheld electronic device 4.3.3 Broken-line graph (Do not accept pie chart as comparison graph) 4.4 Graph depicting total number of SA road fatalities Total number of road fatalities 14,500 14,000 13,500 13,000 12,500 12,000 11,500 11,000 10,500 1 2012 2 2013 3 2014 4 2015 5 2016 Years Graph Heading Heading on horizontal axis and vertical axis Suitable increment on the vertical axis Bar graph (not histogram) Accuracy of bars IEB Copyright © 2018 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 7 of 7 QUESTION 5 5.1 8 + 3 = 11 centuries 5.2 2020 2 044 000 5.3 5.3.1 x = = $170 333,33 12 5.3.2 $753 000 – $15 000 =$738 000 66 000 + 61 000 5.3.3 Median = = $63 500 2 5.3.4 $15 000 5.4 5.4.1 2 × 500 000 = R1 000 000 6 × 250 000 = R1 500 000 2 × 100 000 = R 200 000 + R2 700 000 5.4.2 500 000 : 250 000 : 100 000 50 : 25 : 10 10 : 5: 2 5.5 5.5.1 80 : 20 20 ∴ × 500 000 100 = R100 000 5.5.2 500 000 – 100 000 ∴ 400 000 each ∴ 400 000 × 2 = R800 000 OR 80% × R1 000 000 = R800 000 5.5.3 Earned R400 000 61 296 + 31% × (400 000 – 293 600) = 61 296 + 0,31 × 106 400 = 61 296 + 32 984 = R94 280 Total: 150 marks IEB Copyright © 2018