NORTHERN CAPE DEPARTMENT OF EDUCATION

AUTUMN CAMP 2020

MATHEMATICAL

LITERACY

TUTOR GUIDE

DEPARTMENT OF EDUCATION: PROVINCIAL OFFICE

MATHEMATICAL LITERACY

PROGRAMME FOR AUTUMN CAMP

23 - 29 March 2020

DAYS TOPIC SECTION IN LEARNER GUIDE

DA

Y 1

23-0

3-2

020

At the beginning of the period: Pre-test (30 min)

Finance

CLASSWORK:

Question 1 - 1h 20 min

Mark question 1

HOMEWORK - Question 1 no completed

DA

Y 2

24-0

3-2

02

0

Marking of homework.

Finance

CLASSWORK:

Question 2 - 30 min

Mark question 2

Question 3 - 45 min

Marking question 3

HOMEWORK - Question 4.1

DA

Y 3

25-0

3-2

020

Marking of homework.

Finance

CLASSWORK:

Question 4.2 - 20 min

Mark question 4.2

Question 5 - 1h 20 min

HOMEWORK - Work not finished in class

DA

Y 4

26-0

3-2

020

Marking of homework.

Finance

CLASSWORK:

Question 6 - 50 min

Mark question 6

HOMEWORK - Work not finished in class

DA

Y 5

27-0

3-2

020

Marking of homework.

Finance

CLASSWORK:

Work out the pre-test

Question 7 - 1h 20 min

Mark question 7

HOMEWORK - Work not finished in class

DA

Y 6

28-0

3-2

020

At the end of the period: Post-test (30 min)

Finance

Marking of homework.

CLASSWORK:

Question 8 - 35 min

Mark question 8

Question 9 - 30 min

DA

Y 7

29-0

3-2

020

Marking of homework.

Finance

CLASSWORK:

Mark question 9

Discussion on the post-test

1. Learners must do the classwork in class. Time that must be given is allocated.

2. Mark and discuss the questions in the class.

3. Homework must be given for the study session.

4. Homework must be marked and discussed the following morning, before new work is started.

5.** After the post-test has been written it must be submitted for marking (BY TUTOR).

After administration of the test the tutor must discuss the memo with the learners.

PLEASE NOTE:

These consolidation exercises must be used in conjunction with the learner notes received in

the beginning of the term.

Please ensure that learners thoroughly understand the exercise before moving to the next

exercise.

Assist learners in how to approach and answer questions especially level 3 and 4 questions.

QUESTION 1 (1H 20 MIN)

1.1.1 Interest refers to the amount that will be added to an account that is not settled yet /

Rente verwys na die bedrag wat by die agterstallige bedrag gevoeg word.

OR/OF

Extra amount is charged on the late payments /

Ekstra bedrag wat gehef word op laat betalings.

1.1.2 R14 819,50

1.1.3

1

100

50,81914

20,148 %

= 1,000033739329937

≈ 1%

1.1.4 APG 2039W Design & Theory Studio II

1.1.5 R14 967,70 – R8 650,00

= R6 317,70

1.1.6 Total amount / Totale bedrag

= R3 030 + R3 030 + R2 280 + R2 280 + R9 580 +

R4 530 + R29 460 + R2 087 + R395,95 +

R395,95

= R57 068,90

OR/OF

Total amount / Totale bedrag

= R62 594 – R6 317,70 + 2 × R395,95

= R57 068,90

OR/OF

Total amount / Totale bedrag

R40 386 + R23000 + R8650 – R14819,50 – R148,50 = R57 068,90

OR/OF

Total amount / Totale bedrag

R3 030 + R3 030 + R2 280 + R2 280 + R9 580 +

R4 530 + R29 460 + R395,95 + R395,95

= R54 981,90

1.1.7 Direct deposit / Direkte deposito

1.1.8 Monthly instalment / Maandelikse paaiement

R40 386,60 ÷ 5

= R8 077,32

OR/OF

Monthly instalment / Maandelikse paaiement

R8 077,32 × 5

= R40 386,60

OR/OF

Monthly instalment / Maandelikse paaiement

077,32R8

386,60R40

= 5

1.1.9

(a) R29 460 ×

104,62

100

= R30 821,052

R30 821,052 × 104,38

100

= R32 171,01408

R32 171,01408 × 105,17

100

= R33 834,26

1.1.9

(b)

𝑅395,95

𝑅39 594,70 x 100% OR/OF R39 594,70 ×

1

100

= 1% = R395,947

= R395,95

1.1.9

(c)

The amount due was still not payed on 30|09|17/ Die bedrag veskuldig was nogsteeds

nie betaal by 30|09|17 nie.

1.2.1 Inflation is a measure of rate at which the cost of goods is changing over a period of

time and is usually expressed as a percentage /

Inflasie is die meting van die koers waarteen die prys van goedere verander oor 'n

tydperk en word gewoonlik uitgedruk in persentasie.

OR/OF

The percentage increase of the food prices over the period 1970 – 2015 /

Die persentasietoename van kospryse oor die tydperk 1970 – 2015.

OR/OF

Percentage increase of price over a period of time /

Persentasie verhoging van prys oor 'n tydperk.

OR/OF

Inflation is the rising price of goods/items over time /

Inflasie is die stygende prys van goedere/dienste oor tyd.

1.2.2 R0,30 OR/OF 30c

1.2.3 R557,00 – R418,00

= R139,00

1.2.4 Percentage change / Presentasieverandering

1

100

R0,25

R0,25R75,00

%

= 29 900 %

OR/OF

Percentage change / Presentasieverandering

25,0

75 × 100% = 30 000%

Therefore % increase = 30 000% - 100%

= 29 900%

1.2.5 Cost price / Kosprys

1

104,90

117,5

100

= R89,28

OR/OF Cost price / Kosprys

117,5%

90,104

= R89,28

OR/OF

Cost price / Kosprys

175,1

90,104

= R89,28

OR/OF

Cost price / Kosprys

5,117

5,17× R104,90 = R15,62

R104,90 – R15,62

=R89,28

1.3.1 B OR/OF R241 600 000 000

1.3.2 Budget is the proposed way in which money will be spent on different items /

Begroting is die voorgestelde manier hoe die geld vir verskillende items gespandeer behoort

te word.

1.3.3 Skills development levy institutions /

Vaardigheidsontwikkelingheffingsinstellings

1.3.4

5,320

3,15× 100%

= 4,77%

OR/OF

Percentage of the total education budget /

Persentasie van die totale onderwysbegroting

1

100

000000500320

00000030015

R

R%

= 4,77%

1.3.5 Education Administration plus NSFAS amount

to 31,1 billion rand /

Onderwysadministrasie plus NSFAS bedrag

tot 31,1 miljard rand

9,7%

Accept any estimation from 9,5% but less than 9,86%

Aanvaar enige skatting vanaf 9,5% maar minder as 9,86%

OR/OF

15,8 + 15,3 = 31,1 billion / miljard

= 9,7%

Accept any estimation from 9,5% but less than 9,86%

Aanvaar enige skatting vanaf 9,5% maar minder as 9,86%

1.3.6 241,6 + 198,7 + 187,5 + 70,7 + 195,8 + 162,4 + 180 + 320,5 = R1557,20 Billion/Miljard 320,5

1557,2 × 100%

= 20,6%

1.3.7 R 1 557 200 000 000 × 2,6

100

= R40 487 200 000

R40 487 200 000 – R30 255 200 000

=R10 232 000 000

QUESTION 2 (30 MIN)

2.1 Vacancy = $2 224 560 – $2 046 595

= $177 965

2.2 The Break-even Occupancy Percentage

100%incomerentalPossible

repaymentloan Bankexpensestotal Projected

%1000001842$

1540531$580670$

= 78,92554945%

≈ 78,93%

2.3 Annual rent for bachelor flat in 2018 =

40

271 $318

= $7 956,775

Per month = 12

956,775 $7

= $663,06

2.4 Income from 2 bachelor flats = 2

40

454$321

= $16 072,70

General vacancy for one bedroom flats

= $138 483 – $16 072,70

= $122 410,30

Unit price for one bedroom flats = 60

884916$

= $ 15 281,40

Number of vacant one bedroom flats = 840,28115$

30,410122$

unoccupied bachelor flat : unoccupied one-bedroom flats

= 2 : 8

= 1 : 4

The prediction is correct

2.5.1

2.5.2 Both income and expenses increases every year

The income increases more per year than the expenses because the line of income goes up

more per year (steeper) than the expense.

OR

The trend is that the potential income growth rate increase at a much higher rate than the

total expenses rate.

60

70

80

90

100

110

120

130

140

150

160

2016 2017 2018 2019 2020

Am

ou

nt

in 1

0 t

ho

usa

nd

Do

lla

r

Year

Projected Net Operating Income and Expenses

Income

QUESTION 3 (45 MIN)

3.1.1 13% OR 0,13

3.1.2

(a)

𝑅9102,30

24

= R379,26

3.1.2

(b)

R8 999 + R400

= R9 399

3.1.2

(c)

15% × R8 499

OR

0,15 × R8 499

= R1 274,85

3.1.2

(d)

R403,70 × 30 months

= R12 111,00

Total Cost = R500 + R12 111,00

= R12 611

3.1.2

(e)

HP Laptop

R8 999 + R400

= R9 399

Lenovo Laptop

= R8 499

R9 399 – R8 499

= R900

3.1.2

(f)

The quality of the laptop/ Kwaliteit van die stootrekenaar.

OR/OF

The brand of the laptop/ Die maak van die stootrekenaar.

OR/OF

The features of the laptop/ Die funksies van die stootrekenaar.

3.2.1 R450

3.2.2 R550

3.3.3 R450 + [(number of hours – 1) × R400]

3.2.4

(a)

G = R450 + [ (3 – 1) × R400]

= R1 250

3.2.4

(b)

H = 550 ÷ 4400

= 8 hours

OR/OF

H = R3 250 – R 450

= 400 ÷ 2800

= 7 hours + 1 hour

= 8 hours

3.2.5 Two thousand and fifty rand

3.3 1st year = 20 000 × %

100

73,7

= R1 546

Amount = 20 000 + 1 546

= 21 546

2nd year = 21 546 × %100

98,7

= 1 719,37

Total amount = 21 546 + 1 719,37

= R23 265,37

OR

1st year amount = 20 000 × %100

73,107

= 21 546

2nd year amount = 21 546 × 100

%98,107

= 23 265,37

OR

R20 000 × 107,73% × 107,98% = R23 265,37

QUESTION 4 (40 MIN)

4.1.1 A + R103,3 + R500,4 = R1161,10

A + R 603,7 = R1161,1

A = R1161,1 – R603,7

A = R557,4

4.1.2 43,37% of Non-interest allocation = 82,6 billion

43,37% van Nierentedraende toewysing = 82,6 miljard

Non-interest allocation/Nierentedraende toewysing

= 82,6 billion/miljard ÷ 43,37%

= R190,89 billion/miljard

4.1.3 11,8 – 11,2 = 0,6 billion/miljard

= R600 000 000

4.1.4 % increase =

New old100%

old

% verhoging = -

100%Nuwe oue

oue

= 162,4 101,2

100%101,2

= 60,47%

4.1.5 This amount is a budget for an occasion where the country can encounter a natural

disaster./Hierdie bedrag word begroot vir 'n geleentheid wanneer die land 'n natruurramp

ondervind.

OR/OF

A budget for any unplanned occasion that the government has to take responsibility for./Dit

is 'n begroting vir 'n onbeplande uitgawe waarvoor die regering verantwoordelik is.

The country was experiencing draught the government had to help farmers with water for the

farms and food for the animals./Die land het 'n droogte ondervind en die regering moes die

boere help met water en voer vir die diere op die plase.

4.1.6 Equitable share %/Regmatige deel %

= 386,5÷ 471,4× 100%

= 81,99%

Correct .This is more than 80%

Korrek. Dit is meer as 80%

CA

4.2.1 R70 961 + R28 165 + B + R106 841 + R59 371 + R41 214 + R13 418 + R34 857 + R51 049

= R506 104

R405 876+B = R506 104

B = R506 104 –

B = R100 228

4.2.2 Total for 2015/16 ×107,2% = R410 699 million

Totaal vir 2015/16 ×107,2% = R410 699 miljoen

Total for 2015/15/Totaal vir 2015/16

= 410699

107,2%

= R383 144,73 million/miljoen

4.2.3 𝐻𝑖𝑔ℎ𝑒𝑠𝑡 𝑣𝑎𝑙𝑢𝑒−𝐿𝑜𝑤𝑒𝑠𝑡 𝑣𝑎𝑙𝑢𝑒

𝐿𝑜𝑤𝑒𝑠𝑡 𝑣𝑎𝑙𝑢𝑒 x 100%

= 13 418−12 501

12 501 x 100%

= 7,3354%

= 7%

QUESTION 5 (1H 20 MIN)

5.1.1 January / Januarie

5.1.2 Samantha

5.1.3 R1 280,00 + R1 280,00

= R2 560,00

5.1.4 VAT – Value Added Tax /

BTW – Belasting op Toegevoegde Waarde

5.1.5

1,15

840,00R3

= R3 339,130435

= R3 339,13

5.1.6

61,380614,113,3339

13,333915,13840

61,3806100

11413,3339

13,3339115

1003840

RR

RR

OR

RR

RR

5.1.7

%877,0

100R3806,61

R3806,61-R3840

Mr Khumalo’s statement is incorrect/ Mr Khumalo se bewering is verkeerd.

5.2.1 Inflation is a measure of rate at which the cost of goods is changing over a period of time and

is usually expressed as a percentage /

Inflasie is die meting van die koers waarteen die prys van goedere verander oor 'n tydperk

en word gewoonlik uitgedruk in persentasie

5.2.2 Buying power / Koopkrag

Year / Jaar 1

R10 000,00 × 100

5,6

= R650,00

R10 000,00 – R650,00

=R9 350,00

Year / Jaar 2

R9 350,00 × 100

5,6

= R607,75

R9 350,00 – R607,75

=R8 742,25

5.2.3 The amount decreases over the 2 year period, which means the buying power decreased / Die

bedrag verminder oor die 2 jaar periode dus 'n aanduiding dat die koopkrag verminder.

5.3.1 . A =

0001

R150800

= 120

5.3.2 Total cost = R120,00n + R3 000,00

Total cost = R120,00 (920) + R3 000,00

= R113 400,00

Total cost = R120,00n + R3 000,00, where n = number of 64GB memory sticks

Calculate the total cost of 920 memory sticks.

5.3.3 Profit = income – total cost /

Wins = Inkomste – totale koste

R27 000,00 = (n × R150,00) – (n × R120,00 + R3 000,00)

R27 000,00 = 150n – (120n +3 000)

R27 000,00 = 30n - R3 000,00

R30 000,00 = 30n

n = 1 000

No, she is not correct.

Nee, sy is nie korrek nie.

OR/OF

Total Cost = (750 × R120,00 + R3 000,00)

= R93 000,00

Income/Inkomste = R150,00 × 750

= R112 500,00

Profit/Wins = R112 500,00 – R93 000,00

= R19 500,00

No, she is not correct.

Nee, sy is nie korrek nie

5.4.1 Interest: Amount earned on an investment. The money he will have earned on the R5

000,00 he invested after 5 years.

Interest rate: the percentage at which interest is calculated.

5.4.2 Interest =

100

512,1000,00R5

= R3 025,00

5.4.3 Interest =

100

712,1000,00R5

= R4 235,00

R4 235,00 – R3 025,00

=R1 210,00

No, he is not correct /

Nee hy is nie korrek nie.

5.4.4 Compound Interest Option/ Saamgestelde rente opsie

48,7043

)100

1,1221,6283(21,6283

21,6283

21,6785605

)100

1,125605(5605

5605

6055000

)100

1,125000(5000

R

RR

R

RR

RR

R

RR

RR

Simple Interest Option/ Enkelvoudige rente opsie

802530255000

30255605

605100

1,125000

RRR

RR

RR

Bertram's statement is incorrect/ Bertram se bewering is verkeerd.

QUESTION 6 (50 MIN)

6.1.1 Discount percentage/Persentasie afslag

= 100% 087,72 R160

140 R6

= 3,8353971 ≈ 3,8%

6.1.2 Sub Total/Subtotaal

= R160 087 – R6140 + (2 × R3 500 + R4 298,25 + R1 315,79)

= R166 561,76

6.1.3 Safety reason/as a safety feature.

Veiligheidsrede/as 'n veiligheidskenmerk

OR/OF

Protection from thieves and hijackers.

Beskerming teen diewe en kapers

OR/OF

Beautification of the car.

Verfraaiing van die motor

OR/OF

Longer lasting/Langdurend

6.1.4 27 months = 2 years and 3 months or 2

4

1years

27 maande = 2 jaar en 3 maande of 24

1jaar

1st year value/1ste jaar waarde

= R1 250 000 × 6% + R1 250 000 = R1 325 000

2nd year value/2de jaar waarde

= R1 325 000 × 6% + R1 325 000 = R1 404 500

Last 3 months/Laaste 3 maande

= R1 404 500 × 4

6%+ R1 404 500 = R1 425 567,50

Difference/Verskil

= R1 425 567,50 – R1 250 000 = R175 567,50

It is not enough/Dit is nie genoeg nie.

6.1.5 Mistake: calc. 14% on original price AND an extra 1% on accumulated price

Fout: bereken 14% op die oorspronklike EN tel 'n ekstra 1% by die totaal.

Correct calculation should be 15% on original price

Korrekte berekening sou wees om 15% by oorspronklike prys te tel

Amount/Bedrag = 1,15 × R160 087,72

= R184 100,88

OR/OF

The dealer added 1% on the VAT inclusive price of R182 500

Die handelaar het 1% by die BTW insluitende prys van R182 500 getel

He should have calculated the 15% directly on the original selling price excluding VAT.

Hy moet die 15% direk op die oorspronklike verkoopsprys sonder BTW tel

New selling price inl. VAT/ Verkoopsprys BTW ingesluit

= 115% × R160 087,72

= R184 100,88

6.2.1 Total cost = Base fare + 10 × cost per mile

Totale koste = Basisfooi + 10 × koste per myl

= $20,00 + 10 × $5,00 per mile

= $70,00

6.2.2 Maximum distance (in miles)/Maksimum afstand (in myl)

= $0,90

$4,65

= 5,166…

≈ 5

6.2.3 1 hour 9 minutes = 69 minutes

1 uur 9 minute = 69 minute

Post trip cost/Na-rit koste

= 29,73 mi × $3,55 /mi + 69 min × $0,45 / min

= $105,5415 + $31,05

= $136,59

Upfront cost/Vooruit koste = $8 + 29,73mi × $3,55/mi

= $113,54

The statement is valid/Die stelling is geldig

6.2.4 To cover cost for wasted time when a vehicle could have been used to assist someone when

you cancel the booking.

Om kostes te dek vir verlore tyd terwyl die voertuig gebruik kon word om iemand anders te

help wanneer jy die bespreking kanselleer.

OR/OF

Penalty for booking made if one do not finally use the vehicle (time wasting).

Boete vir 'n bespreking wat gemaak is as jy aan die einde nie die voertuig gebruik nie

(vermorsing van tyd)

OR/OF

Prevent hoax calls/ Verhoed fop oproepe

QUESTION 7 (1H 20 MIN)

7.1.1 Total amount = (22 × R250) + (22 × R400)

= R5 500 + R8 800

= R14 300

7.1.2 Total amount = R400 + (4,75% × R400)

= R400 + R19

= R419

7.1.3 Amount received per member

= Total bank balance – non-refundable initial fee

= R110 614,84 – (250 × 22)

= R110 614,84 – R 5 500,00

= R105 114,84 ÷ 22

= R4 777,95

7.2.1 A = R1 799,88 ÷ 12

= R149,99

7.2.2 Total goods value = R143 988 + R1 799,88

= R145 787,88

7.2.3 %100

787,88 R145

494,55 71R

= 12,00000302%

≈ 12%

7.2.4 VAT = R143 988 ×15% ÷115%

= R18 781,04347826

≈ R18 781,04

7.2.5 The amount of money that the lender charges for lending the money.

7.2.6 Interest = deferred amount × interest × 30 months p.a

= R143 597,33 × 11,23316% × 12

30

= R40 326,29

7.2.7 B = tot. cost of credit – all risks ins. – tot. deferred

= R195 540,52 – R2 049,90 – R183 923,62

= R9 567

7.2.8 Fitting charges, TV Licence fee, Service fee

7.2.9 Final instalment = R195 540,52 – (29 × R6 518,10)

= R195 540,52 – R189 024,90

= R6 515,62

7.2.10 No. The less discount shows R0,00/ Nee, die minus afslag bedrag wys R0,00.

7.3.1 Profit is when your income is greater than your expenses.

7.3.2

(a)

MTN R270 ÷ R15 = 18 vouchers

Profit on 18 vouchers = 18 × R0,51

= R9,18

Virgin Mobile R120 ÷ R15 = 8 vouchers

Profit on 8 vouchers = 8 × R0,81

= R6,48

Total profit for the day = R9,18 + R6,48

= R15,66

(b)

31,13

35,266,15

35,2100

1566,15

R

RR

RR

7.3.3 Number of weeks =

341,50

50,5122

= 15 days

= 3 school weeks

7.3.4 Total cost of machines = R1 539 × 52

= R80 028

Number of airtime vouchers = R80 028 ÷ R0,54

= 148 200

7.3.5 Total discount =

100

25,3× R14 760

= R479,70

QUESTION 8 (35 MIN)

8.1.1 SUBTOTAL

= R2 893,86 + R394,74 + R180 + R2 719,30 + R30,70

= R6 218,60

Calculating VAT

= R6 218,60 × 15% OR A = R6 218,60 × 1,15

= R932,79 = R7 151,39

A = R6 218,60 + R932,79

= R7 151,39

8.1.2 OPTION 2

Total cost = R3 499,00 + R499,00 + R189,00 + R235,00

+ (4 × R3,50) + 223,50R + 3350,00R + R349,00

= R5 882,00

Difference in price = R7 089,20 – R5 882,00

= R1 207,20

Mr Chan's estimation is NOT valid.

8.1.3 The brand of the gas stove.

OR

No time to shop around.

OR

The company will install the stove.

OR

Reputable dealer

OR

After sales service

OR

Any suitable answer

8.1.4 06/05/2015

OR

6 May 2015

8.2.1 Tax rebate reduces the tax payable

Medical aid credit reduces the amount of tax to be paid.

8.2.2 Taxable income = R742 000

Tax in 2015/2016

Tax payable = R208 587 + 41% of (R742 000 – R701 300) –

R13 257 – 12 × (2 × R270 + 3 × R181)

= R208 587 + 41% of (R40 700) – R13 257 – 12 × (R540 + R543)

= R208 587 + R16 687 – R13 257 – R12 996

= R199 021

Tax in 2014/2015

TI = R195 212 + 40% of (R742 000 – R673 100) – R12 726 – 12 ×

(2 × R257 + 3 × R172)

= R195 212 + 40% of (R68 900) – R12 726 – 12 × (R514 + R516)

= R195 212 + R27 560 – R12 726 – R12 360

= R197 686

The statement is NOT valid, the increase is R1 335,00/ Die bewering is nie geldig nie, dit

vermeerder met n R1335.

QUESTION 9 (30 MIN)

9.1 A = 201,86 × 108,1%

= 218,21 c/kWh

B = 198,89 × 105,2 %

= 209,23 c/kWh

C = 232,84 × 105,2%

= 244,95

9.2 Number of Units = 130 × 100 = 130 000

= 95,159

130000

= 81,27 Units of kWh

9.3 Block 1 = 100 units

Block 2= 300 units

Block 3 = 50 units

Total 450 units

Cost = 100 × 159,95 = 15995 c/kWh

= 300 × 183,99 = 55197 c/kWh

= 50 × 201,86 = 10093 c/kWh

Total = 812585 c/kWh

= 812585 ÷100 = R812,8 c

9.4 Block 1 = 100 × 159,95 = 15995 Block 2 = 300 × 183,99 = 55197

Block 3 = 250 × 201,86 = 50465

Block 4 = 20 × 215,40 = 4308

TOTAL COST = 15995+55197+50465+4308

= 125965 ÷ 100

= R1259,65