MATHEMATICAL LITERACY

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1 MATHEMATICAL LITERACY PAPER GRADE 2 PRELIMINARY EXAMINATION 04 September :00 This memorandum consists of 0 pages.

2 MARKING GUIDELINES MATHEMATICAL LITERACY PAPER Symbol M M/A CA A C D J S RT/RG F SF O P R Explanation Method Method with accuracy Continuous accuracy Accuracy Conversion Define Justification/ Motivation/ supply a reason Simplification Reading from table graph diagram map plan Choosing of correct formula Substitution in formula Opinion/Example/Deduction/conclusion Penalise for example no units incorrect rounding etc. Rounding Page 2 of 0

3 QUESTION... 3 /09/207 3 September RT reading from payslip (2) F years old 2 A answer (2) F..3 R4 000, 00 RT reading from payslip..4 6,9 00 R4 000, 00 = R966, 00 MA multiplying by 6, 9% A correct value (2) A correct answer (3)..5 Unemployment Insurance Fund 2 A correct answer (2) F..6 (a) (b) 00 R4 000 = R40, 00 MA multiplying by % R40, 00 2 = R280, 00 A answer (2) M multiply by 2 CA answer F F2 F R40, 00 + R40, 00 = R280, C = R966, 00 + R2 200, 00 + R40, 00 + R 270, 00 + R790, 00 = R5 366, 00 D = R7 200 R5 366, R790,00 R3 200,00 = R 834, = 24, 6875% M adding same amount CA answer (2) Note: CA from..6 (a) M adding CA answer M subtracting CA answer (4) A correct numerator A correct denominator M multiply by 00 CA answer (4) NO penalty for rounding F F F2 Page 3 of 0

4 .2.2. Inflation: The continuous increase in the price of goods and services in an economy over a period of time, expressed as a percentage..2.2 Year = 5, x R = R Year 2: 5, x R = R 2 465, 65 R R 2 465, 65 = R 50 8, 65 A = P ( + r 00 )n.3 Number of kilolitres used = R ( + 5, 00 )2 = R 50 8, 65 Cost per kilolitre Total Cost 6 kl Free R0, 00 9 kl R7, 85 R70, 65 5 kl R, 29 R69,35 5 kl R3, 05 R95, 75 5 kl R4, 00 R70, 00 Total exclusive) VAT (4%) Total inclusive) (VAT (VAT R505,75 R70,8 R576,56 2 A correct answer (2) MA multiplying by 5, and dividing by 00 A correct answer M calculating new interest M adding CA final answer F choosing the correct formula 2 SF Substitution 2 CA final answer (5) A for 5 kl A for 5 kl A for R69, 35 A for R69, 75 A for R70, 00 CA for R505, 75 CA for R70, 8 CA for R576, 56 F F2 (8) F3 Page 4 of 0

5 .4.4. Package A.4.2 (a) C = R500, 00 p/d Package B C = R300, 00 + R2, 50 p/km A = R350, 00 B = 80 km C = R500, 00 A for R500 A for per day A using R300 fixed cost A using rate per km (4) 2 A correct answer 2 A correct answer 2 A correct answer (6) (b) Distance travelled (in km) 2 A correct answer (2) F (c) Break-even-point: point where income is equal to expenses. There is no loss and/or no profit. 2 A correct answer (2) (d) (80 ; 500 ) A correct x value A correct y value (2) F2 F2 F F [54] Page 5 of 0

6 QUESTION ,2 cm 2 =, cm MA dividing by 2 A correct answer (2) M Answer only: full marks 2.2 Area = π r 2 = 3, 42 (, cm) 2 = 3, 8082 cm 2 = 4 cm Volume = l b h = 6 cm 5 cm 2 cm = 60 cm 3 60 cm 3 = mm mm mm 3 = mm Surface area of rectangular prism = cm 00 2 (l b) + 2 (l h) + 2 (b h) = 2 (6 5) + 2 ( 6 2) + 2 ( 5 2) cm = cm 2 = 04 cm 2 4 m = 0, 25 m SF Substitution A for area of ring A correct rounded answer A correct unit (4) F choosing of correct formula SF substitute into formula S Simplification C conversion M subtracting CA Answer (6) SF substitute into formula S simplification CA answer M correct unit (4) MA dividing by 00 A correct answer (2) Answer only: full marks M M2 M M [8] Page 6 of 0

7 QUESTION Friday, 5h00 2 RT reading from table (2) km 2 RT reading from table km 20 km = 97 km MA subtracting 3..4 Yes, They will still have 25 minutes left before the start of the Olympiad depending on how far away the venue is from the train station Yes, the train only leaves at 3h5, which gives them an hour and 5 minutes to prepare for their journey back home h5 Tuesday It means that cm on the floor plan is equal to, 5 metres in reality doors Accept 3 doors if garage door was included From the bedroom 2 door, turn right into the passage. Continue straight, pass the kitchen. The lounge will be on your left hand side. A correct answer (2) A correct answer J conclusion (2) A correct answer J conclusion (2) A correct time A correct day (2) (2) 2 A correct answer (2) 2 A correct answer (2) 2 A correct answer (2) West elevation 2 A correct answer (2) Bedroom 3: A = l b = 3, 45 m 3, 5 m = 0, 85 m , 5 cm + 4, 2 cm +, 5 cm = 7, 2 cm 7, 2, 5 = 0, 8 m C conversion to metres SF substitution CA answer (3) M measuring correct lengths M adding CA answer in metres(3) M 2 M 2 Page 7 of 0 [26]

8 QUESTION ,8,9,20,25,25,27,28,28,28,29,30,30, 30,33,34,37,38,38,38,39,40,4,43, Q2 or P Also accept: middle value A correct answer (2) 2 A correct answers (2) DH DH 4.2. Mean = = 3, 28 M sum total M diving by 25 DH CA answer (3) Mode(s): 28, 30, 38 2 A correct answers (2) DH Median = 30 2 A correct answers (2) DH Q = (25+27) 2 = 26 M correct method used A Answer (2) DH Answer only: full marks Q3 = 38 2 A correct answers (2) DH Q3 Q = IQR = 2 M subtracting CA answer (2) Answer only: full marks DH x 00 = 6% M correct fraction 4.5 Distance Tally Frequency 0 d 0, 5 ǀǀǀǀ ǀǀ 7 0, 5 d ǀǀǀǀ 5 d, 5 ǀǀǀǀ ǀ 6, 5 d 2 ǀǀ 2 2 d 2, 5 ǀ 2, 5 d 3 ǀǀǀ 3 > 3 ǀ TOTAL: 25 M times by 00 CA answer (3) A for all the correct tallies A for 7 and 5 A for 6, 2 and A for 3 and CA for total of 25 (5) DH 2 DH 2 Page 8 of 0

9 m = km A correct fraction used = 48% M calculating % CA answer (3) DH th percentile 2 RG reading from graph (2) DH This means that the boy is as heavy or heavier than 0% of all 27 months old boys. 2 J Explanation (2) DH That 90% of all 27 month old boys are heavier than him ± 2, 5 kg 2 RG reading from graph (2) DH At birth he was in the 25th percentile. Now he is in the 95th percentile. So he is not growing appropriately - he is gaining too much weight. 2 J Explanation (3) DH [37] Page 9 of 0

10 QUESTION 5 5. ⁰F = 9 5 C + 32 = 9 5 (2) + 32 = 69, days = minutes SF Substituting into formula CA answer (2) MA times by 24 MA times by 60 A correct answer (3) % 2 A correct answer (2) P 5.4 2:7 3: A ratio A simplified answer (2) = 4 A common fraction = 80% 5 Mr Fischer was wrong. A simplified answer (2) A correct fraction M calculating % CA correct answer J conclusion (4) M M 2 M M P 2 [5] GRAND TOTAL: 50 Page 0 of 0

MATHEMATICAL LITERACY

MATHEMATICAL LITERACY PAPER GRADE 1 PRELIMINARY EXAMINATION 11 September 017 09:00 This memorandum consists of 11 pages. MARKING GUIDELINES MATHEMATICAL LITERACY PAPER Symbol M M/A CA A C D J S RT/RG F