NATIONAL SENIOR CERTIFICATE GRADE 12

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NATIONAL SENI CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 NOVEMBER 2016 FINAL MARKING GUIDELINE MARKS: 150 Symbol M MA CA A C S RT/RG SF O P R NP Explanation Method Method with accuracy Consistent

1 NATIONAL SENI CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 NOVEMBER 2016 FINAL MARKING GUIDELINE MARKS: 150 Symbol M MA CA A C S RT/RG SF O P R NP Explanation Method Method with accuracy Consistent accuracy Accuracy Conversion Simplification Reading from a table/graph/diagram Correct substitution in a formula Opinion/Example/Definition/Explanation Penalty, e.g. for no units, incorrect rounding off, etc. Rounding off No penalty rounding or omitting units This memorandum consists of 15 pages.

2 Mathematical Literacy/P1 2 DBE/November 2016 Question 1 [43 Marks] F Booysen M 2A correct name July A correct month Accept 7 th month 1A correct year /A R ,28 R ,00 =R ,28 CA RT Total Admin. fee = R5, = R1 368 CA 1M/A subtracting correct values 1CA difference NP 1RT reading from table 1M multiplying correct total number of months 1CA total fee NP ,25% + 0,5% = 7,75% 1M adding correct % 1A sum

3 Mathematical Literacy/P1 3 DBE/November R5,70 1MA dividing by 114% Amount without VAT = 114% A = R5,00 1M subtracting VAT amount = R5,70 R5,00 = R0,70 CA 1CA VAT amount 14% VAT amount = R5,70 114% = R0,70 CA O An amount advanced/borrowed 1M dividing by 114% 1A multiply by 14% 1CA VAT amount 1O Amount borrowed to buy a house/flat/residential property O Money borrowed to buy a house 1O buying a house/flat/residential property B 2A correct reason Accept C (a) A R ,13 R ,37 = R0,76 CA 1M/A subtracting correct values 1CA simplification from balance column for October (b) Credit R , ,25% Interest = 365 = R2 328,31 CA 2A correct column 1A 31 days 1SF correct balance and % 1CA interest NP

4 Mathematical Literacy/P1 4 DBE/November 2016 O The cost that changes (not fixed/not constant/differs) 2O explanation depending on the number of persons Total cost (in Rand) = A substituting = = CA 1A substituting 45 1CA cost (a) (b) Avon RG 2RG reading from graph 200 RG 2RG reading from graph Accept 160

5 Mathematical Literacy/P1 5 DBE/November 2016 Ques Solution Explanation Topic/ L TOTAL COST F EACH OF THE THREE VENUES (a) CA Amount in Rand AVON BEACH CASTLE Number of persons 1A starting point (0 ; 0) 1A end point of (200 ; ) 1CA joining points 1A straight line (4)

6 Mathematical Literacy/P1 6 DBE/November 2016 L (b) Cost for 250 persons = R R = R CA 1SF substitution 1CA cost Income from 194 tickets = R A = R Profit = R R = R CA Profit = (R R25 250) (R ) CA = R R = R CA 1MA multiplication 1A income 1CA profit 1SF substitution 1M multiplication 1CA cost 1A income 1CA profit Note: If readings are taken from graphs then: Cost (accept range from to ) - 2 marks Income (accept range from to ) - 2 marks Full marks can only be given if the profit is exactly R NP (5) [43]

7 Mathematical Literacy/P1 7 DBE/November 2016 QUESTION 2 [29 MARKS] d = 4,2 m (1,2 m + 1,8 m) 1M subtracting (a) = 1,2 m 1A value = mm C 1C conversion C d = 4200 mm (1 200 mm mm) = mm 1M subtracting 1C conversion 1A value (b) A 15m + 1,2 m + 1,2 m + 4,2 m + 1,2 m +1,2 m + 15 m = 39 m CA = mm C 1M/A adding all values 1CA total length 1C conversion A 15 m 2 + 1,2 m 4 + 4,2 m = 39 m CA = mm C 1M/A adding all values 1CA total length 1C conversion (c) Total area = 1,8 m 15 m + 1,2 m 4,2 m = 27 m 2 + 5,04 m 2 S = 32,04 m 2 S Total area = 2(1,2 1,2 ) m 2 + [1,8 (15 + 1,2)] m 2 = 2,88 m ,16 m 2 = 32,04 m 2 1SF substituting 1S simplification 1A area 1A correct unit 1SF substituting 1S simplification 1A area 1A correct unit S Total area = [2 (1,2 1,2 ) + (1,8 15) + (1,8 1,2)] m 2 = [2, ,16] m 2 = 32,04 m 2 1SF substituting 1S simplification 1A area 1A correct unit

8 Mathematical Literacy/P1 8 DBE/November 2016 Total area = 16,2 m 4,2 m 2 (1,2 m 15 m) 1SF substituting = 68,04 m 2 36 m 2 S 1S simplification = 32,04 m 2 1A area 1A correct unit Max 2 out of 4 if only one area correctly calculated with unit (4) of the length of the hall = 16,2 m 1A length of runway (d) 1 1M multiply by 3 Length of hall = 16,2 m 3 16,2 m 3 1CA length of hall = 48,6 m CA ,2 4,2 m = feet 0,3048 = 13, feet 13,8 feet R S 1M dividing by conversion factor 1S simplification 1R rounding C cm³ = A² 24 cm A² = cm³ 24 cm = 144 cm² CA A = 144 cm = 12 cm CA A = C 24 CA = 12 cm CA 1SF substitute into formula 1C conversion to cm 1CA simplification 1CA length of A 1SF substitute into formula 1C conversion to cm 1CA simplification 1CA length of A (4)

9 Mathematical Literacy/P1 9 DBE/November Area of one label = ( ,142 7) 24 cm 1SF substitute into = 1 079,712 cm² formula Total area of labels = 1 079,712 cm² 76 1A area of one label 1M multiply by 76 = ,112 cm² cm² R 1R rounding (accept ) 1SF substitute into Total area of labels = [( ,142 7) 24 cm] 76 formula = ,112 cm² cm² R 1A area of one label 1M multiply by 76 1R rounding (accept ) Penalise with one mark if π on calculator is used (4) Volume of cylinder = 3,142 7² 24 cm³ 1SF substitute into = 3 694,99 cm³ formula A 1A volume of Difference in volume = 3 694,99 cm³ cm³ = 238,99 cm³ cylinder 1M/A show how volume was obtained A Difference in volume = 3,142 7² 24 cm³ cm³ = 238,99 cm³ kilograms or kg or g 2A unit 1SF substitute into formula 1A volume of cylinder 1M/A show how volume was obtained NP [29]

10 Mathematical Literacy/P1 10 DBE/November 2016 QUESTION 3 [28 MARKS] Row A = 15 ; Row B = 16 ; Row C = 18 1A number in seats Row D = 19 ; Row E = 21 ; Row F = 22 in row A J Row G = 24 ; Row H = 25 ; Row J = 26 1M adding Total = = 186 CA 1CA total Total = 432 total left block total right block = = 186 CA 1M subtracting 1A totals for both blocks 1CA total Total = ( ) (17 9) = = 186 CA 1A number of seats in right block 1M subtracting additional seats 1CA total 185 or 187 two marks North West/NW 2A direction H30 8 th row from the stage seat 30 second row from the back seat Exit towards the left/ aisle Turn left in the aisle Walk straight to entrance/exit 1. At entrance/exit 1 the refreshment stand will be on the right. 3A if row AND seat are correct 2A if either row seat is correct 1A Exit to left/ aisle 1A turn left in aisle 1A walk towards entrance/exit 1 1A location of refreshment stand (4)

11 Mathematical Literacy/P1 11 DBE/November 2016 P A % 432 = 378 0, = P = 378 CA 0,26% 0,0026 1MA calculating % of 432 (CA from Q 3.1.1) 1A numerator 1CA denominator % 2A correct decimal (a) (b) Unscrewed Anti-clockwise left counter-clockwise 2A unscrewed 2A direction A 3 screws A correct diagram Actual length = 62 mm 30 6,2 cm 30 = mm = 186 cm = 1,86 m C = 1,86 m 1M multiply by scale 1A length in mm/cm 1C conversion P C Actual length = 0,062 m 30 = 1, 860 m CA 1C conversion 1M multiply by scale 1CA length in m [28]

12 Mathematical Literacy/P1 12 DBE/November 2016 QUESTION 4 [30 MARKS] 1A identify correct highest and ,15 180,29 mph = 141,86 mile per hour CA lowest values 1M subtraction 1CA difference NP RT 2RT correct number of riders RT RT 1990 and RT first year 16 years CA 1RT second year 1CA number of years Accept 17 years Ernest J Henne RT 6 times % 25 = 20% CA O The number of children can only be whole numbers. 2RT name of rider 1A number of times 1A number of years in 21 st century 1A total number of years 1CA probability as percentage 2O explanation P L3 O The number of children cannot be decimals/fractions 2O explanation to 18 RT 2RT identify correct age group RT 1RT identify correct year

13 Mathematical Literacy/P1 13 DBE/November RT A = RT correct values = A value of A RT RT correct values B = 100 1M multiply by = 2,1 CA 1CA value of B PERCENTAGES OF CHILDREN IN THE AGE GROUP 16 to 18 NOT ATTENDING ANY EDUCATIONAL INSTITUTION FROM 2002 TO 2009 Percentage ,3 17,8 17, , CA Years 4A (1 for each two correctly plotted point) 1CA joining the points (5) [30]

14 Mathematical Literacy/P1 14 DBE/November 2016 NSC Final Marking Guideline 4 November 2016 QUESTION 5 [20 MARKS] D 5.1 United Kingdom Britain RT 2RT correct country F South African rand = 0,070 US dollar 1, 94 $1,94 = R 0, 07 = R27,71 1M dividing by exchange rate 1A rand value R95,57 $6,69 = 14,2855 $ 1,94 14, = R27,71 1M dividing by price in dollar 1A rand value ,96 A = euro 16,28 = 7 euro 56,07 B = 267 = 0,21 1M dividing by exchange rate 1A euro value with unit 1M dividing by exchange rate 1A rand value F F 1 Indian Rupee equals 0,21 South African rand 5.4 SGD $ 8,00 : SGD $ 2,50 A = 16 : 5 CA 1A identifying the correct values 1MA ratio in correct order 1CA simplified ratio F

15 Mathematical Literacy/P1 15 DBE/November 2016 NSC Final Marking Guideline 4 November 2016 Ques Solution Explanation Topic/ L 5.5 RT D United States of America and Brazil RT 1RT United States of America 1RT Brazil 5.6 A median is O the middle value of the 1O middle value D arranged/ordered/sorted data. O 1O arranged/ordered/ sorted RT D R118,75; R113,96; R99,30; R95,57; R95,22; R92,88; 1RT correct values R84,21; R69,57; R62,40; R56,07; R50 1A correct order NP Mean (in rand ) = , , , ,21+ 92, , , , , , ,93 = 11 85,27 CA 1M adding values 1A dividing by 11 (check CA from Q 5.7.1) 1CA mean D [20] TOTAL 150

NATIONAL SENIOR CERTIFICATE GRADE 12

NATIONAL SENIOR CERTIFICATE GRADE 12 NATIONAL SENI CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 NOVEMBER 2015 MEMANDUM MARKS: 150 Codes M MA CA A C D J S RD F SF O P R NP Explanation Method Method with Accuracy Consistent Accuracy Accuracy