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

DBE/November 2017

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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Mathematical Literacy/P1

4 NSC ? Marking Guideline

DBE/November 2017

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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5 NSC ? Marking Guideline

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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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