Mathematical Literacy Grade 12 IEB Paper 1 2017 Memo

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

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 2 of 6 QUESTION 1 1.1 R13 200 × 12 = R158 400 1.2 R13 200 × 1% = R132 1.3 R1 273,00 ÷ 2 × 3 = R1 909,50 OR (R 1273 ÷ 2) + 1273 = R1 909,50 OR 2 = R1 273 3 100 1 273 × = R1 909,40 66,67 1.4 1.4.1 Tax bracket 1 OR 0 ~ 180 000 1.4.2 R13 500 OR Primary 1.4.3 Tax = R153 180 × 18% = R27 572,40 – R13 500 = R14 072,40 1.5 1.6 1.6.1 R125 303 ÷ 12 = R10 441,92 1.6.2 1 200 × 132 c = 158 400 c ÷ 100 = R1 584 1.6.3 R768 ÷ 1 200 = 0,64 × 100 = 64 c/km IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 3 of 6 QUESTION 2 2.1 2.1.1 Radius = 4 inches ÷ 2 × 2,54 cm/inch = 5,08 cm OR Radius = 4 inches × 2,54 cm/inches ÷ 2 = 5,08 cm 2.1.2 245 g : 205 g 49 : 41 2.1.3 100 g = 100 ml ∴ 205 g = 205 ml 1 000 ml = 1 000 cm3 ∴ 205 ml = 205 cm3 2.1.4 205 cm3 × 100% 550 cm3 = 37,27272% = 37% 2.2 2.2.1 4 inches × 14% = 0,56 inches 2.2.2 3 × 4 inches – 2 × 0,56 = 12 inches – 1,12 inches = 10,88 inches OR 3 × 10,16 cm – 2 × 1,4224 = 27,64 cm 2.3 2.3.1 1 525 2.3.2 524 ×3 150 = 3 144 525 OR 3 150 = 6 defective 525 ∴ 3 150 − 6 =3 144 IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 4 of 6 QUESTION 3 3.1 OR 3.2 3.2.1 12 × 8 = 96 m2 3.2.2 19 cm (accept 18 cm – 20 cm) (If in mm 1 out of 2) 3.2.3 59 × 64 = 3 776 ÷ 1 000 =3,776 m or 3,78 m or 3 m or 3,7 m or 3,77m or 3,8 m or 4 m 3.2.4 NW OR NNW 3.2.5 94,4 × 3 = 283,2 cm QUESTION 4 4.1 4.1.1 1 000 ÷ 8 OR 1000 ÷ 7,6 =131,58 = 125 4.1.2 8 × 138% = 11,04 ≈ 11 out of every 1 000 OR 8 × 38% = 3,04 + 8 = 11,04 ≈ 11 per 1 000 OR 7,6 × 138% =10,49 ≈ 10 per 1000 4.2 4.2.1 (a) 1,5 people per 1 000 people (If 1 or 2, give 1 mark) OR 1 person per 667 people (b) 3,1 – 2,9 = 0,2 per 1 000 people OR 200 people 4.2.2 (a) 7,6 per 1 000 people (b) 4 × 2 = 8 + 4 × 0,5 = 2 = 10 OR 2,5 × 4 = 10 4.2.3 7,6 + 7,4 + 6 + 4,6 + 4,6 + 4,3 + 4 + 3,1 + 2,9 + 1,5 Mean = 10 46 = 10 = 4,6 per 1 000 people IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 5 of 6 4.2.4 (a) Bar graph OR Horizontal Bar graph (b) Discrete data can only take particular values whereas continuous data are not restricted to defined separate values. (c) Discrete 4.3 1 14 14 × = OR 0,0622 9 25 225 QUESTION 5 5.1 5.1.1 January 2014 5.1.2 15 years 5.1.3 4 500 hrs ÷ 15 = 300 hrs/year 5.1.4 4 500 hrs + (300 hrs × 3) OR 300 × 18 = 4 500 hrs + 900 hrs = 5 400 hrs = 5 400 hrsca 5.1.5 €44 000 : R624 360 R624 360 €1 : 44 000 €1 : R14,19 Accept 4 decimal places as currency uses 4 decimal places. OR €53 680 : R711 770,40 (incl tax) 711770,40 €1 : 53680 €1 : R13,26 5.2 5.2.1 12 × 6 = 72 months or 6 years 5.2.2 R1 774,00 + R68,40 = R 1 842,40 5.2.3 R1 842,40 × 72ca = R132 652,80 5.3 5.3.1 R132 652,80 + R1 197 = R133 849,80 5.3.2 15:38  24:00 = 8 hours 22 minutes + 10 hours 55 minutes = 19 hours 17 minutes OR 19,28 hours OR 15:38 – 3:38 = 12 hours 3:38 – 10:55 = 7 hours 15 minutes = 19 hours 17 minutes IEB Copyright © 2017 PLEASE TURN OVER

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE: MATHEMATICAL LITERACY: PAPER I – MARKING GUIDELINES Page 6 of 6 5.4 $3 × 5 × 4 × 12 = $720 5.5 5.5.1 65 700 000 × 88% OR 65,7 × 88% = 57 816 000 57,816 million × 1 000 000 = 57 816 000 5.5.2 2,75 × 50% OR 2,75 ÷ 2 = 1,375 million OR 1 375 000 OR 1,38 million 5.6 5.6.1 2 trillion kCal × 1 000 × 1 000 000 000 000 = 2 000 000 000 000 000 Cal OR 2 ×1015 5.6.2 2 000 000 000 000 000 ÷ 2 000 = 1 000 000 000 000 5.6.3 1,2 Trillion kCal (Accept 1,1 – 1,4) 1 Trillion kCal 1 Trillion 5.7 5.7.1 Bloemfontein OR Johannesburg OR Pretoria (any one) 5.7.2 Cape Town 5.7.3 Cotton 5.7.4 Fruit, peanuts, vegetables, vineyards (OR vineyards, wine, grapes) (Afrikaans script any 4 products including cotton and tobacco) 5.8 500 cm ÷ 15 cm = 33,33 = 33 + 1 = 34 seeds Total: 150 marks IEB Copyright © 2017