NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 ...

Downloaded from

NATIONAL SENIOR CERTIFICATE

GRADE 12

MATHEMATICAL LITERACY P1 PREPARATORY EXAMINATION

MARKING GUIDELINE SEPTEMBER 2019

MARKS: 150

SYMBOL

M MA CA A C

S RT/RG/RD/RM

SF O J R F AO P NPR

EXPLANATION

Method Method with accuracy Consistent accuracy Accuracy Conversion Simplification Reading from a table/ graph/ diagram/map Correct substitution in a formula Opinion/ reason/deduction/example/Explanation Justification Rounding off deriving a formula Answer only full marks Penalty e.g. for units, incorrect rounding off etc. No penalty for rounding / units

This marking guideline consists of 12 pages.

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

2 Prep Exam - Marking Guideline

KZN/September 2019

QUESTION 1 [33 MARKS]

Ques. No

Solution

1.1.1 Cost price = R38,00 MA 50

= R0,76 A OR 76c

1.1.2 Profit = R1,10 ? R0,76 M = R0,34 CA OR 34c

1.1.3 Cost price = R38,00 ? 12 M = R456,00 CA OR

Cost price = 600 ? 76c M = 45 600 c CA

1.2.1 20 litres ? 1 000 C = 20 000 ml A

1.2.2

glass capacity: bucket capacity 200 ml : 20 ? 1 000 S 200 : 20 000 MA 1 : 100 CA

OR 200 C 1000

0,2 : 20 MA

1 : 100 CA

1.2.3 Number of people = 100 A

Explanation 1MA dividing by 50

T&L

F L1

1A cost price AO

1M subtraction 1CA profit AO

1M multiplying by 12 1CA cost price

(2) F L1

(2) F L1

OR

1M multiplying 600 by 76c

1CA cost price AO

1C conversion

(2) F L1

1A number of ml AO

1S simplification 1MA correct order 1CA ratio

OR 1C conversion

(2) M L1

(3)

1MA correct order

1CA ratio AO 2A number of people AO

M L1 (2)

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

3

Downloaded from StaPnrepmEoxarme-pMharykinsgiGcusid.eclinoem

KZN/September 2019

Ques. No

1.3.1

Solution Number of CDs = 5 +10+3+7+3 MA

= 28 A

1.3.2 Outcome means a possible result after an event or events. O

1.3.3 P (jazz CD) = 0% A

Explanation

1MA addition 1A number of CDs AO

T&L DH L1

(2)

2O

P

Accept any valid definition

L1

(2)

P

2A correct percentage

L1

1.4.1 Bar scale/Linear scale A Number scale/Ratio scale A

1.4.2 One unit on the map/paper represents nine million units in reality. E

1A bar scale/linear scale 1A number scale

2E explanation

(2) MP L1

(2)

MP (2) L1

1.5.1 Bidvest Wits RT

2RT name of club

1.5.2 Modal number of points = 29 RT

2RT modal number

1.5.3

Total matches = 21 +21 +19 + 20 +21 +21 +21 +20 + 21

+ 21 + 21 + 21 + 20 + 21 + 20 + 21 MA 1MA addition

= 330 CA

1CA total

DH (2) L1

DH (2) L1

DH L1

OR

OR

Total matches = 19 + (20 ? 4) + (21 ? 11) MA = 330 CA

1.5.4 Minimum = 14 A Maximum = 38 A

1MA addition and multiplication

1CA total AO

1A minimum 1A maximum

(2) DH L1

(2)

1.5.5 Mamelodi Sundowns RT

2RT reading from the table

DH

(2) L1

[33]

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

4 Prep Exam - Marking Guideline

KZN/September 2019

QUESTION 2 [47 MARKS]

Ques. No

Solution

2.1.1

Sonia's budget for February 2019

Income

Expenses

Wages part time job

Rent R2 400,00 A

R2 250,00 A

Bursary allowance

Groceries

R1 950,00 A

R2 140,00A

Pocket money R1 500,00 A Transport R575,00A

Clothing store account

R455,00A

Total : R5 700,00 A

Total : R5 570,00 A

2.1.2 2.1.3

Surplus / Deficit = Income ? expenses = R5 700,00 ? R5 570,00 SF = R130,00 CA

transport: pocket money R 575 : R 1 500 A 23 : 60 S

2.2.1

Pace car rental

Total amount = (daily rate ? 4 days) + (number of km more than 800 km ? R2,42) + refundable deposit

= (R290 ? 4) + (2 800 km ? R2,42) + R10 000 SF

= R1 160 + R6 776 +R10 000 S

= R17 936,00 CA

Explanation

T&L

F L2

3A for income sources and amounts 4A for expenses and amounts 2A for totals

Accept other formats of budget

1SF correct substitution 1CA surplus

1A correct order 1A correct values 1S simplification

AO

(9) F L1

(2) F L1

(3)

F L2

1SF correct substitution 1S simplification 1CA amount

(3)

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

5

Ques. Downloaded fromSoluStitoanPnrepmEoxarme-pMharykinsgiGcusid.eclinoem

No.

KZN/September 2019

Explanation

T & L

2.2.2 Flexi car rental

F

Total amount = (daily rate ? 4 days) + (number of km more

L2

than 600 km ? R2,82) + refundable deposit = (R326 ? 4) + (3 000km ? R2,82) +R10 000 SF

1SF correct substitution

= R1 304 + R8 460 + R10 000 S

1S simplification

= R19 764 CA

1CA amount

OR

OR

Total amount = (daily rate ? 4 days) + (number of km more than 600 km ? R2,83) + refundable deposit

= (R326 ? 4) + (3 000km ? R2,83) +R10 000 SF

= R1 304 + R8 490 + R10 000 S

1SF correct substitution 1S simplification 1CA amount

= R19 794 CA

(3)

2.2.3 Pace car rental is cheaper. CA

2CA opinion

F (2) L2

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

Ques. No.

6 Prep Exam - Marking Guideline

Solution

2.3.1 Opening balance is the amount that is already in the account at the beginning of the month. E

OR

2.3.2

Opening balance is the amount carried forward from the previous month.

Opening balance = R1 855,52 RT

2.3.3 A = R1855,52 + R1500 MA O = R3 355,52 A

OR

A = R3005,02 + R350,50 MA = R3355,52 A

2.3.4

VAT exclusive amount = R100 M 1,14

= R87,71929825 A

R87,72 R

OR

VAT exclusive amount = R100 ? 100 M 114

= R87,71929825 A

R87,72 R

2.3.5 Credit O

KZN/September 2019

Explanation

T & L

F

2E explanation

L1

(2)

Accept any valid

definition

2RT opening balance F

NPR

L1

(2)

1MA adding correct F

values

L1

1A balance

OR

1MA adding correct

values

1A balance

NPR

(2)

F

1M dividing by 1,14 L2

1A amount 1R rounding

OR

1M dividing by 1,14

1A amount 1R rounding AO

(3)

2O opinion

F L1 (2)

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

7

Downloaded from StaPnrepmEoxarme-pMharykinsgiGcusid.eclinoem

2.4.1

A

MA

Total cost = R650 + (R0,08 ? number of copies made)

OR

A

MA

Total cost = R650 + (8cents ? 100) ? number of copies made

KZN/September 2019

1A monthly charge

F

1MA

L2

multiply by R0,08

OR

1A monthly charge 1MA multiply by R0,08

2.4.2 2.4.3 2.4.4

A M Total cost = R0,30 ? number of copies made

OR A M Total cost = 30c x number of copies made A = R650 A

B = R0,30 ? 2 000 M

= R600 A

Cost in Rands

Graph showing number of copies made from GP and HP Printers

1400 1200 1000

800 A

600 400 200

0 0

A A

A

1000 2000 3000 4000 5000

Number of copies made

HP

Printer A

GP

Printer A

1A for R0,30 1M multiplication OR 1A for R0,30 1M multiplication

(2) F L2

(2)

2A monthly charge

F

1M multiplying by R0,30

L1

1A cost

AO

(4)

1A graph starting at R650

F

1A points correctly plotted HP L2

1A points correctly plotted GP

2A for both graphs' labels

1CA joining points

(6)

[47]

Copyright Reserved

Please Turn Over

Mathematical Literacy/P1

8 Prep Exam - Marking Guideline

KZN/September 2019

QUESTION 3 [25 MARKS]

Ques.

Solution

No.

3.1.1 A ? semi circle/ half circle A

B ? rectangle A

3.1.2

Perimeter = (length + length) + (2 ? ? radius)

M

SF

A

= (105 m + 105m) + (2 ? 3,142 ? 27,5m)

= 210 m+ 172,81 m

= 382,81 m CA

OR

Explanation

T & L

2A semi/half circle 2A rectangle

1M adding two lengths 1A finding radius 1SF substitution 1CA perimeter

M L1

(4) M L2

OR

Perimeter = (length + length) + ( ? diameter)

M

SF

A

= (105 m + 105m) + (3,142 ? 55m)

= 210 m+ 172,81 m

= 382,81 m CA

3.1.3 Cost of fencing = 382,81 m ? R66,00 M = R25 265,46 CA

3.1.4

Area of a circle = ? radius2 M

= 3,142 ? (27,5m)2 SF = 2 376,1375 m2 CA

1M adding lengths

1A diameter

1SF substitution

1CA perimeter (4)

CA from 3.1.2

M

1M multiplying by R66,00 L1

1CA cost

(2)

1M radius

M

1 SF correct substitution

L2

1CA area

Area of a rectangle = length ? width = 105 m ? 55 m SF = 5 775 m2 CA

1 SF correct substitution 1CA area

Total area = 2 376,1375 m2 + 5 775 m2 M = 8 151,1375 m2 CA

8 151,14 m2 R

1M adding 1CA total area 1 R rounding

Copyright Reserved

Please Turn Over

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download