NATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE
GRADE 12
MATHEMATICAL LITERACY P1 NOVEMBER 2017
MARKING GUIDELINE
MARKS: 150
SYMBOL M MA CA A C S RT/RG SF O P R NPR AO
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 Answer only, if correct, full marks
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Mathematical Literacy/P1
2 NSC ? Marking Guideline
DBE/November 2017
Question 1 [30 MARKS] Ques Solution 1.1.1 D RT
1.1.2 G RT
1.1.3 C RT
1.2.1 Profit = R18 700 ? R 14 960 M = R 3 740 A
1.2.2
M
10:15 + 5h50 = 16:05 A
16:05 OR 4:05 pm OR 5 past 4 in the afternoon
1.2.3 Radius = 32,8 mm ? 2 MA (a)
= 16,4 mm CA
1.2.3 Distance = (71,8 mm ? 32,8 mm) ? 2 MA (b)
= 19,5 mm CA
OR 71,8 mm ? 2 = 35,9 mm
MA Distance = 35,9 mm ? 16,4 mm
= 19,4 mm CA
Explanation 2RT correct letter
2 RT correct letter
2 RT correct letter
1M subtracting correct values 1A calculating profit AO
1M adding
Topic/L F L1 (2) D L1 (2) M L1 (2) F L1
(2) M L1
1A correct time of sale
AO 1MA dividing diameter by 2
(2) M L1
1CA radius AO
1MA subtracting and dividing
(2) M L1
1CA distance
OR 1MA subtracting and dividing
1CA distance AO
(2)
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Mathematical Literacy/P1
3 NSC ? Marking Guideline
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Ques Solution
1.3.1 Cost of diluted juice per litre
= R 44,95 ? 14 MA
= R 3, 210714286
R 3,21
CA
1.3.2 2 : 12 A 1 : 6 CA
Explanation
Topic/L M L1
1MA dividing
1CA cost per litre NPR
AO
(2) M
1A correct volume of water and L1 order 1CA simplification Accept 1
6
AO
1.3.3 Number of glasses of juice = 14 MA 0,175
1MA dividing the correct values
(2) M L1
= 80 CA
RT
MA
1.4.1 35 39 39 60 63 84 93 107 117 120 126 142
1.4.2 July OR 7th month A 1.4.3 9 A 1.4.4 April OR 4th month A
A 1.4.5 May and July A
OR 5th month and 7th month
1CA simplification to a whole number
AO
1RT all values 1MA ascending order
2A correct month
2A correct mode
2A correct month
(2) D L1
(2) D L1
(2) D L1
(2) D L1
(2)
1A May 1A July
D L1
(2)
[30]
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4 NSC ? Marking Guideline
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QUESTION 2 [46 MARKS] Ques Solution
2.1.1 R465,00 RT
2.1.2
RT Queenstown and
King
William's
Town RT
2.1.3 Port Elizabeth to Bloemfontein = R435,00 RT (a)
Cost = R755,00 ? R435,00
Explanation
Topic/L
F
2RT correct bus fare
L1
(2)
F
2RT correct cities
L1
(2)
F
1RT R435
L1
= R320,00 CA
2.1.3 King William's Town RT (b) 2.1.4 Cost excluding VAT
= R365,00 ? 100M 114 M
= R320,175... R320,18 CA
1CA cost Accept trial and error method
AO
CA from Q2.1.3(a) 2RT correct city
1M ? 100 1M ? 114
(2) F L2
(2) F L2
1CA simplification
OR
OR
Cost excluding VAT
= R365 M 1,14 MA
R320,18 CA
OR
114 : 365 = 100 : x x = price excl. VAT M
x =
R365,00 ? 100 114
M
= R320,175... R320,18 CA
OR
VAT = R365 ? 14 114
M = R44,82
M
CA
Cost excluding VAT = R365 ? R44,82 R320,18
1M dividing 1MA 1,14 1CA simplification
OR
1M proportion
1M x as subject of formula 1CA simplification
OR
1M multiplying with ratio
1M subtracting VAT 1CA simplification NPR AO
(3)
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Ques 2.1.5
Solution
From Queenstown to Bloemfontein return trip
RT = R410 ? 2
= R820 CA
Total travelling cost
= 12 ? R820 M
= R9 840 CA
OR Number of trips = 2 ? 12 M
= 24 CA Total travelling cost = 24 ? R410 RT
= R9 840 CA
OR
One way cost for a year RT
= R410 ? 12 M
= R4 920
Total traveling cost = R4 920 ? 2 M
= R9 840 CA OR
RT M Traveling cost = R410 ? 2 ? 12 M
=R9 840 CA
Explanation 1RT correct fare
Topic/L F L2
1CA for calculating the return trip
1M multiplying by 12 1CA total cost OR 1M multiplying by 12 1CA total trips 1RT correct fare 1CA total cost OR
1RT correct fare 1M multiplying with 12
1M multiplying with 2
1CA total cost
OR 1RT correct fare 1M multiplying with 2 1M multiplying with 12 1CA cost AO
(4)
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