Directorate Curriculum:
FET SCHOOLS
GRADE 12
2015 JUNE EXAMINATION
MATHEMATICAL LITERACY
PAPER 1
MARKS: 100
Time : 2 hours
This question paper consists of 10 pages and 2 annexures.
Grade 12 Mathematical Literacy P1
JUNE 2015
INSTRUCTIONS AND INFORMATION
1.
This question paper consists of FIVE questions. Answer ALL the questions.
2.
QUESTION 5.2 needs to be answered on the attached ANNEXURE B. Write your
name in the space provided on the ANNEXURE and hand in the ANNEXURE together
with your ANSWER BOOK.
3.
Number the answers correctly according to the numbering system used in this question
paper.
4.
Start EACH question on a NEW page.
5.
You may use an approved calculator (non-programmable and non-graphical), unless
stated otherwise.
6.
Show ALL the calculations clearly.
7.
Round off ALL final answers appropriately according to the given context, unless stated
otherwise.
8.
Indicate units of measurement, where applicable.
9.
Write neatly and legibly.
2
Grade 12 Mathematical Literacy P1
QUESTION 1 [35]
1.1
JUNE 2015
Use the municipality bill of Mr H.M. Burger to answer the questions that follow:
IF UNDELIVERED RETURN TO : P.O. BOX 3, Emalahleni Central, 1035
eMALAHLENI
 INSERT PEN, SLIDE THROUGH TO OPEN
Local Municipal Council
ALSO SEE OPENING
INSTRUCTIONS OVERLEAF
Office Hours
Payment Hours
Monday to Thursday
Friday
Monday to Thursday
Friday
07.30 – 16.30
07.30 – 13.30
07.30 – 15.30
07.30 – 12.30
Consumer VAT Reg. No.:
Account No. 2037602
BURGER HM
P O BOX 1764
KRIEL
2271
TAX INVOICE
ACCOUNT No.
2037602
MARKET VALUE
LAND &
LAND
IMPROVEMENT
VALUE
550000
0
STAND NUMBER
85001200002860000
STREET NAME & No.
1 TERN CLOSE
DETAILS
MWVV083144
eMALAHLENI Local Municipality
AREA
GA-NALA
 3
eMALAHLENI
CENTRAL
1035
eMALAHLENI

(017) 6486200
(013) 6980262
(013) 6431027
(013) 6906911
FAX
(017) 6484764
(013) 6906207
(013) 6432039
(013) 6906272
GENERAL INFORMATION
ACCOUNT FOR THE MONTH
DEPOSIT
November 2014
R1000.00
AREA
GUARANTEE
0.00
DATE
2014/10/15
2014/11/07
2014/11/16
2014/11/16
2014/11/16
CONSUMPTION
17
2014/09/26
2014/11/16
2014/11/16
2014/11/01
2014/11/12
TRANSACTION INCLUDED TO
3161
VAT REG. No. 4000142457
KWAGUQA
OGIES
DESCRIPTION
BALANCE B/FWD
000018 RECEIPT 996377
ASSESSMENT RATES – RESIDENT
VALUATION REBATE
VA-DIS/SUR ON LEVY
WATER CONSUMPTION RES-KRIEL
REFUSE FEES RES-KRIEL
SEWER ADD RES-KRIEL
SEWERAGE RES-KRIEL
SET DISCOUNT 201411 SED182
BALANCE ON
ARRANGEMENTS
R 0.00
86,80000
3,2400
SUB
TOTAL
V.A.T.
MESSAGE
Will you please check if all services are levied on your account, i.e.
electricity, water, assessment rates, sewer and refuse
3
TOTAL
AMOUNT
PAYABLE
BALANCE
483,00
800,00 –
748,25
65,36 –
277,16 –
99,27
86,80
0,00
370,00
16,00 628,80
88,03
716,83
Grade 12 Mathematical Literacy P1
JUNE 2015
1.1.1
What type of account is this?
(2)
1.1.2
There is no charge for electricity on this bill. Why do you think is that
so?
(2)
1.1.3
Give the name of the town in which Mr Burger lives.
(2)
1.1.4
What is the date of the previous payment?
(2)
1.1.5
Calculate the difference between the balance brought forward and amount
that has been paid.
(2)
1.1.6
What is the meaning of the negative sign (-) after the 800?
(2)
1.1.7
Show how the amount of R88,03 for VAT was calculated.
(2)
1.1.8
Calculate the percentage (%) set discount that is given on the total amount
payable.
(2)
1.1.9
In what unit is the 17 of the water consumption measured?
(2)
1.1.10
Mr Burger makes an enquiry about the bill for his water consumption.
The table below is given to him so that he can do the calculation.
Verify if the amount given on the bill was calculated correctly.
New water tariffs
From(kℓ)
To (kℓ)
0
6
6
9,5
9,5
20
20
30
30
40
50
+
R per kℓ
R0,00
R4,92
R10,94
R13,38
R18,00
R25,37
(6)
4
Grade 12 Mathematical Literacy P1
1.2
JUNE 2015
The receipt below is issued when pre-paid electricity was bought.
……………........City of Cape Town………......……..
RECEIPT : 13473
VAT INVOICE: D689/06694868131/0
VAT Reg No: 4180101877
Name: Anne Adams
Metre : 06694868131
Date : Fri May 29 2015, Time:17:56:00
## 470,8 units @
c/unit
ELEC R 143.60
470,8 units
VAT
R
24.56
AUJX5 R
31.84
TOTAL R 200.00 CASH
CHANGE R
0.00
5340 2338 7875
1689 2064
**NAME INCORRECT OR ENQUIRIES**
DIAL: 00800220440
P08689:CALEDONIAN KWIKSPAR
1.2.1
What is the name of the business where this electricity was bought?
(2)
1.2.2
The time of purchase is given as 17:56:00. Write this in time notification
where am/pm is used.
(2)
What was the amount this client paid for the 470,8 units of electricity he
used?
(2)
Refer to the line marked ##. The number of units bought was indicated, but
the cost per unit was omitted. Determine the cost of the electricity in cent.
(2)
1.2.3
1.2.4
1.2.5
The household that bought this electricity uses during the winter about 35
units per day. How many days will the electricity bought, last?
5
(3)
[35]
Grade 12 Mathematical Literacy P1
JUNE 2015
QUESTION 2 [10]
Eskom decided to implement load-shedding nationally on a regular basis as a measure of last resort
to prevent the collapse of the power system country-wide. The schedules on ANNEXURE A are
designed around the days of the month.
Load-shedding stages depend on the extent of the shortage of generation capacity to meet the
country’s electricity demand, with stage 1 being the least serious, and stage 3B being the most
serious.
o Stage 1 allows for up to 1 000 MW of the national load to be shed
o Stage 2 allows for up to 2 000 MW of the national load to be shed
o Stage 3 allows for up to 4 000 MW of the national load to be shed
2.1
How long, in minutes, will one period of load-shedding last per area?
(2)
2.2
On which date(s) can a person staying in Langa experience loadshedding between 16:00 and 18:30 if it is Stage 1?
(2)
2.3
Provide the area numbers indicated with X on ANNEXURE A.
(2)
2.4
If there is Stage 2 load-shedding in Philippi on 5 June 2015, at which
time can the residents expect the power cut to commence?
(2)
2.5
On how many days will residents of Mitchell’s Plain not experience
any power cuts during Stage 1 load-shedding?
(2)
[10]
6
Grade 12 Mathematical Literacy P1
QUESTION 3 [23]
JUNE 2015
Jamie organisied a Treasure Hunt to raise funds. He hid a number of “treasures”, like money and
toys between the food and activity stalls. He then drew a map and indicated with an X where
these treasures might be found. He charges R2,00 per entry and all the prizes have cost him a
total of R69,80. The map below shows where the contestants can look for the treasures.
3.1
3.2
3.3
How much profit did Jamie make if he sold 87 tickets for his treasure
hunt?
(3)
Each horse ride lasts 5 minutes with a one minute pause in between for
the next rider to get in the saddle. After every hour and a half the horses
are given a rest. How many children can get an opportunity to ride a
horse before they rest?
(3)
Give the grid reference of the treasure hidden south-east of the ice cream
table.
(2)
7
Grade 12 Mathematical Literacy P1
3.4
If you are standing at the cup cakes table, in which direction must you
walk to find the swings?
3.5
3.6
3.7
JUNE 2015
(2)
In which direction is the cold drinks table from the table where Sarah
creates her balloon animals?
(2)
The distance on the map between the treasures hidden in block B2 and
block A3 is 35 mm. If the scale on the map is 1 : 500, what is the actual
distance between the two hidden treasures? Give your answer in metre.
(3)
The RCL of New Horizon High School realised that their school is in
dire need of funds. They, with the approval of the staff and the SGB,
decided to organise a Fundraising Day with various stalls offering fun
activities.
Sarah has learnt the skill of making animals with balloons.
The sketch below shows how she folds a long balloon to make a dog.
3.7.1 How does Sarah manage to make these sections in her balloon, as
shown in step number 2?
(2)
3.7.2 What part of the dog is formed by step number 3?
(2)
3.7.3 Which body part is formed by step number 6?
(2)
3.7.4 How many sections did Sarah ultimately divide this balloon into?
8
(2)
[23]
Grade 12 Mathematical Literacy P1
QUESTION 4 [17]
JUNE 2015
4.1 The percentage distribution (per province) of persons aged 20 years and
older whose highest level of education was Grade 12 in 2011 is shown in the table
below:
KZN EC
FS WC NC NW GP MP LP
Province
Percentage 30,9 19,8 26,8 28,2 22,7 25,2 34,4 29,0 22,4
Key:
KZN: KwaZulu-Natal
WC : Western Cape
GP : Gauteng
FS : Free State
NW: North West
LP : Limpopo
4.1.1
Explain why the percentages in the table does not add up to 100%.
(2)
4.1.2
Determine the province that had the median percentage of persons with
Grade 12 as the highest level of education in 2011.
(3)
4.1.3
For the above data, the 25th percentile is 22,55% and the 75th percentile is
29,95%. Identify the province(s) whose percentage distribution is less than
the lower quartile.
4.1.4
4.2
EC : Eastern Cape
NC : Northern Cape
MP : Mpumalanga
What is the mean percentage distribution per province of persons aged
20 years and older whose highest level of educatin was Grade 12 in 2011
for South Africa?
(2)
(3)
Below is a box and whisker plot for Mathematical Literacy test marks of the learners at
Cape Winelands High School.
A
C
B
D
E
4.2.1 Give the values for each of the letters A, B, C, D and E.
(5)
4.2.2 Calculate the range for Mathematical Literacy test marks.
(2)
[17]
9
Grade 12 Mathematical Literacy P1
JUNE 2015
QUESTION 5 [15]
5.1 The results of the Census 2011 were released by Statistics South Africa in November 2012.
The table below summarises the highest level of education for all South Africans who were 20 years
and older in the years 1996, 2001 and 2011.
Highest level of education of persons 20 years and older for 1996, 2001 and 2011
Education Level
No Schooling
Some Primary
Completed Primary
Some Secondary
Grade 12
Tertiary Education
1996
Number
4 055 646
3 522 956
1 571 774
7 130 121
3 458 434
1 512 602
21 251 533
%
19,1
16,6
7,4
33,6
16,3
7,0
2001
Number
4 567 179
4 083 742
1 623 467
7 856 125
5 200 602
2 151 336
25 482 451
%
17,9
16,0
6,4
30,8
20,4
8,5
2011
Number
2 665 875
3 790 134
1 413 895
10 481 577
8 919 608
3 644 617
30 915 706
%
8,6
12,3
4,6
33,9
28,9
11,7
[Source: Census 2011 Fact Sheet]
5.1.1 Write down the number of South Africans who were 20 years and older
who had some secondary school education in 2011 in words.
(2)
5.1.2 In 2011, the number of persons who were 20 years and older was
approximately 59,7% of the total South African population.
Determine the total number of persons who were younger than 20 years
old in 2011.
(4)
5.1.3 What was the percentage growth of all persons 20 years and older
between 1996 and 2001? Use the formula:
(20+ means 20 years and older)
(4)
5.2
Line graphs representing the highest level of education for persons 20 years
and older for 1996 and 2001 have been drawn on ANNEXURE B.
Use the table above (Question 5.1) to draw the line graph that represents the
highest level of education for 2011 on the same graph in ANNEXURE B.
(5)
[15]
TOTAL:100
10
Grade 12 Mathematical Literacy P1
ANNEXURE A
JUNE 2015
MONTHLY LOADSHEDDING SCHEDULE
STAGE 1
DATE
00:00 – 02:30
02:00 – 04:30
04:00 – 06:30
06:00 – 08:30
08:00 – 10:30
10:00 – 12:30
12:00 – 14:30
14:00 – 16:30
16:00 – 18:30
18:00 – 20:30
20:00 – 22:30
22:00 – 00:30
DATE
00:00 – 02:30
02:00 – 04:30
04:00 – 06:30
06:00 – 08:30
08:00 – 10:30
10:00 – 12:30
12:00 – 14:30
14:00 – 16:30
16:00 – 18:30
18:00 – 20:30
20:00 – 22:30
22:00 – 00:30
1
17
2
18
3
19
4
20
5
21
6
22
7
23
8
24
9
25
10
26
11
27
12
28
13
29
14
30
15
31
16
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
2
3
4
5
6
7
8
9
10
11
12
13
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15
16
1
2
3
4
5
6
7
8
9
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12
13
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15
16
2
3
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6
7
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5
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9
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1
2
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5
6
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8
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1
3
4
5
6
7
8
9
10
11
12
13
14
15
16
1
2
3
4
5
6
7
8
9
10
11
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15
16
1
2
3
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1
2
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16
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2
3
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5
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9
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1
2
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5
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7
8
9
10
11
12
13
14
15
16
1
2
3
1
17
2
18
3
19
4
20
STAGE 2
5
6
21
22
7
23
8
24
9
25
10
26
11
27
12
28
13
29
14
30
15
31
16
1
9
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
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5
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8
1
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3
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5
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7
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8
16
9
1
10
2
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3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
4
12
5
13
6
14
7
15
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
4
12
5
13
6
14
7
15
8
16
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
1
9
2
10
3
11
X
9
1
10
2
11
3
12
4
13
5
14
6
15
7
16
8
14
6
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7
16
8
1
9
2
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3
11
4
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5
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6
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7
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8
16
9
1
KEY
1
Parow
Bellville
5
2
Milnerton
Maitland
6
3
Somerset West
Strand
Gordon’s Bay
7
4
Mitchell’s Plain
8
Newlands
Hanover Park
Durbanville, Kenridge,
Welgemoed, Tyger
Valley
Camps Bay, Sea
Point, Green Point,
Cape Town
Muizenberg, Kalk Bay,
Simon’s Town,
Noordhoek
9
10
11
12
11
Pinelands, Langa,
Epping,
Kraaifontein
Brackenfell
Kuilsriver
Hout Bay,
Constantia, Wynberg,
Plumstead
Athlone
Manenberg
13
Goodwood
Plattekloof
14
Atlantis
Mamre
15
Rondebosch
Observatory
16
Ottery
Philippi
Grade 12 Mathematical Literacy P1
JUNE 2015
ANNEXURE B
QUESTION 5.2
NAME:
GRADE 12:
Percentage Highest Education Level
40
35
25
20
15
10
2001
Highest Education Level
12
Grade 12
Some Secondary
Primary School
Some Primary
0
Tertiary Education
1996
5
No Schooling
Percentage
30