MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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SECONDARY SCHOOLS IMPROVEMENT PROGRAMME (SSIP) 2019

GRADE 12

SUBJECT: MATHEMATICAL LITERACY

LEARNER NOTES

TABLE OF CONTENTS

SESSION NO

TOPIC PAGE

1 BANK STATEMENTS AND TARIFFS 2 – 5

2 MUNICIPAL BILL 6 – 7

3

TARIFF SYSTEMS 8 – 11

4

DATA HANDLING 12 – 15

5

INTERPRETATION OF DATA 16 – 22

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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SESSION 1

TOPIC: FINANCE SECTION: FINANCIAL DOCUMENTS CONTEXT: BANK STATEMENT AND TARIFFS TERMINOLOGY: VAT, PERCENTAGES BASIC SKILLS: BASIC MATHEMATICAL CALCULATIONS, PERCENTAGE CALCULATIONS QUESTION 1

Mr Jacob does his banking with First National Bank. The statement below (TABLE 3) was sent

to Mr Jacob at the end of November. An extract of banking fees for his Smart Account is given

as TABLE 1 and TABLE 2 is the bank charges for Bates Bank.

1.1 How many days does this statement cover? (2)

1.2 How many statements did Mr Jacob receive for this account? (2)

1.3 What is the monthly account fee payable on this account? (2)

1.4 What is the monthly deposit fee for October? (2)

1.5 Calculate the bank charges for the month of October. (2)

1.6 If Mr Jacob had to make a deposit of R3 545. Calculate the deposit fee for this

amount.

(3)

1.7 How much money was deposited by Mr Jacob into this account for the time

period of this statement?

(2)

1.8 Show by calculations how R11,25 VAT was calculated. (2)

1.9 In December Mr Jacob made the following transactions.

2 cash withdrawal of R600 at a FNB ATM

1 deposit of R900 at the FNB ATM

1 deposit of R2500 in the bank

Calculate the total service fee for these transactions.

(7)

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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1.10 Mr Jacob wants to make a withdrawal of R1200. He has the option to withdraw this amount from a FNB ATM or use another bank’s ATM. Show with calculations which will be a cheaper option with regards to service fees.

(5)

1.11 Given a reason why it may not be suitable to use this account as a savings account

(2)

1.12 Give a reason why it costs more to make a deposit in the bank as compared to

using the FNB ATM.

(2)

1.13 The client used his cash withdrawal amounts to pay for his weekly expenses

for airtime, petrol, meals and purchasing groceries.

Suggest TWO cost effective ways that he could use to save on cash withdrawal fees.

(4)

1.14 Jacob states that if he had a Bates Bank PLUS savings account, then his bank fees will be less than his present bank. Use TABLE 2, the bank charges for Bates Bank and verify with calculations whether Jacobs statement is correct.

(8)

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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(TABLE 1) Extract of Banking Fees for SMART ACCOUNT

Pay-As-You-Use Pricing Option

Monthly Account Fee R12,50

Cash Withdrawals

Cash@Till FREE

FNB Slimline R5,00

FNB ATM R3,95 + R1,30 per R100

Other Banks’ ATM R6,50 + FNB ATM fee

FNB Branch/Cheque R50,00 + R1,65 per R100

Deposits

Cash Deposit at FNB ATM R0,70 per R100 (minimum R5,50)

Cash Deposit at FNB Branch R1,65 per R100 (minimum R5,50)

Cheque deposit at FNB branch and ATM R22,50

Card purchases/payments FREE

TABLE 2 Extract of banking fees for Bates PLUS account

Pay-As-You-Use Pricing Option

Monthly Account Fee R 11,80

Cash Withdrawals

Point of sale (Cash withdrawa)l FREE

Bates Bank ATM 0 – R1000: R6,80 Above R1000 : R4,00 + 1,20%

Branch R33,00 + 1,40%

Other Banks’ ATM 0 – R1000 : R6,80 +R6,70 above R1000 : R4,00 + R6,70+ 1,20%

Deposits

Cash Deposit at ATM R 4,50

Cash Deposit at Branch R31,50

Cheque deposit at branch R31,50

Cheque deposit at ATM R31,50

Card purchases/payments FREE

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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TABLE 3 Mr Andy Jacob SMART ACCOUNT : 397465859939 56 Stable Road Uppertown Copy Tax Invoice/Statement Number : 13 1856 29 August 2015 to 28 November 2015

Statement Date : 28 November 2015

Bank Charges Statement Balances Interest Rates Bank charges R91,60 Subscription Fees R0,00

Opening Balance R5 254,69 Cr Closing Balance R2 141,98 Cr

Credit interest rate 0,00%

Account Transactions

Date Description Amount Balance Bank Chages

Opening Balance 5 254,69 Cr

02 Sep ATM Cash Eldorado 100,00 5154,69 Cr 5,25

04 Sep Debit card POS Purchase Johnson 120,00 5034,69 Cr

12 Sep Debit card POS Purchase Vodacom 1004,00 4030,69 Cr

17 Sep Debit card POS Purchase Trading 2840,00 1190,69 Cr

29 Sep #Monthly account fee 12,50 1178,19 Cr

29 Sep #Service fees 5,25 1172,94 Cr

05 Oct Debit card POS Purchase Gift shop 477,25 695,69 Cr

07 Oct ADT Cash deposit TD mall 800,00 Cr 1495,69 Cr 5,60

12 Oct Debit card POS Purchase Spar 105,00 1390,69 Cr

16 Oct Debit card POS Purchase PnP 305,00 1085,69 Cr

17 Oct ATM cash Bokville 200,00 885,69 Cr 6,55

20 Oct ATM cash Eldorado 200,00 685,69 Cr 6,55

28 Oct ADT Cash deposit Southgate 2000,00 Cr 2685,69 Cr 14,00

29 Oct Debit card POS Purchase CNA 37,50 2648,19 Cr

29 Oct Debit card POS Purchase Spar 140,00 2508,19 Cr

29 Oct #Monthly account fee 12,50 2495,69 Cr

29 Oct #Service fees 13,10 2482,59 Cr

29 Oct #Cash deposit fee 19,60 2462,99 Cr

30 Oct Debit card POS Purchase Woolies 169,32 2293,67 Cr

31 Oct Debit card POS Purchase Edgars 126,22 2167,45 Cr

31 Oct Debit card POS Purchase Miladys 155,94 2011,51 Cr

11 Nov Debit card POS Purchase Checkers 130,00 1881,51 Cr

13 Nov Debit card POS Purchase Hyper CD 40,90 1840,61 Cr

13 Nov Debit card POS Purchase C gardens 60,00 1780,61 Cr

18 Nov ATM cash Shell 400,00 1380,61 Cr 9,15

18 Nov Debit card POS Purchase Mr Price 209,98 1170,63 Cr

25 Nov ADT Cash deposit Southgate 1000,00 Cr 2170,63 Cr 7,00

28 Nov #Monthly account fee 12,50 2158,13 Cr

28 Nov #Service fees 9,15 2148,98 Cr

28 Nov #Cash deposit fee 7,00 2141,98 Cr

Closing Balance 2 141,98 Cr #Inclusive of VAT @ 14% Total Vat included on this statement = R 11,25 Dr

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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SESSION 2

TOPIC: FINANCE SECTION: FINANCIAL DOCUMENTS CONTEXT: MUNICIPAL WATER AND ELECTRICITY BILL. TERMINOLOGY: UTILITY BILL, AMOUNT, SERVICE(S) AND ACCOUNT BASIC SKILLS: ADDITION, PERCENTAGES, INTERPRETING, VAT AND CONVERSION

QUESTION 1

A City of Tampa Utility bill includes charges for water, wastewater and solid waste

services. Some City of Tampa customers may not receive all three of these services.

Please consult your bill to determine which explanations apply to your account.

City of Tampa Utility Bill

See more at: http://www.tampagov.net/city-of-tampa-utilities/how-do-i/example-bill#sthash.Gku2q5Qh.dpuf

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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1.1

What amount was the previous bill?

(2) 1.2 Is solid waste-Residential charged, a fixed or variable cost? (2) 1.3 Calculate the missing value of A. (3) 1.4 And hence the value of B. (2) 1.5 If the total amount payable is $106, 65. How much will John Doe pay in S.A currency if

1$=R15, 75? (2)

1.6 Calculate the total amount payable in two years’ time if it is invested and it

Is compounded annually at the rate of 9, 25% p.a? (4)

1.7 A sewer water usage is calculates at 80% of the water consumption, If Thembi used

16Kl of water. Calculate how much in rands she will pay for her sewer charge, if rate is charged at 0, 19 per kilolitre ($)?

(6)

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SESSION 3

TOPIC : FINANCE

SECTION: TARIFF SYSTEMS

CONTEXT: PLANNING A TRIP

Terminology:

VAT, Break-even point, Rental, Budget, costs, quotation,

Teachers notes;

Basic skills required;

- Conversions (cents to rands, minutes to hours,

- Calculation of time

QUESTION 1

Mr Mthembu from Pretoria plans to take his family of five members, for the Easter holiday

trip to Cape Town of their youngest daughter who was born on the 26th of March 2015. to

celebrate the birthday. He wants to hire Toyota Avanza for the trip and requested two

quotations from two car rental companies;company X and Y. He intends to collect the car on

Thursday, 24 March 2016 and return it on the Monday, 28 March 2016. Mr Mthembu plans to

travel via Bloemfontein for the trip, the distance between Pretoria to Cape Town via

Bloemfontein is 1460km.

RATE CODE COMPANY X COMPANY Y

Included Total Kilometres For Rental

800 km 800km

Cost per Additional kilometre R3.59(Incl. VAT) per km R3.29(Incl. VAT) per km

Additional Charges

Contract Fee Included in the Rental Amount

R63.15 (excl. VAT)

Additional Driver R310.00 (Incl. VAT) R241.23 (excl VAT)

Baby seat R350.00 (Incl. VAT) R271.93 (excl VAT)

Total (additional charges) VAT inclusive

R660.00 (Incl. VAT) A

Rental amount for 4 days R2 230 (Incl. VAT) R2 556.00 (incl. VAT)

Total Amount (Including additional charges)

R2 890.00 (Incl. VAT) B

Engine capacity: 1.5l Fuel Consumption:

6.3l/100km

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Day 1

(995Km)

Day's Itinerary: pretoria --> Bloemfontein --> Beaufort West

Day's Travel Time: 592 Minutes

Day 2

(461Km)

Day's Itinerary: Beaufort West --> Cape Town

Day's Travel Time: 335 Minutes - 5 hour(s) 35 minutes(s)

1.1 What does the abbreviation VAT stand for? 2

1.2 Calculate the values of A and B. 5

1.3 Determine the VAT exclusive of the total amount (including the additional

charges) for Budget.

3

1.4 Why is it important for Mr Mthembu to pay for the baby seat? Give two reasons. 2

1.5 How much will it cost Mr Mthembu and family for EACH company, if they were to

travel a distance of 467 Km from Pretoria to Bloemfontein?

2

1.6 Calculate the total cost for the trip, if they were to travel from Pretoria to Beaufort

West via Bloemfontein using company Y.

5

1.7 Mr Mthembu and family plan to depart from Pretoria at 09:23, at what time will

they arrive at Beaufort West?

3

1.8 If it takes 335 minutes to travel from Beaufort West to Cape Town. Use the

formula below to determine the average speed (km/h) Mr Mthembu has to travel

with in order to arrive on time.

Average speed = distance

time

4

1.9 If P is the total amount and K is the total kilometres travelled, write down a

formula that can be used to calculate the total amount that should be paid using

company Y. in the form:

Total amount payable for company Y (in rand) = ...

2

1.10 Calculate the total amount payable for the entire trip using company Y, if Mr

Mthembu intends to cover 630 km for touring around Cape Town.

5

1.11 The price of petrol for February 2016 is 1215.00 cents per litre. If the price

remains unchanged, how much should Mr Mthembu budget for the fuel of the

entire trip. Give the answer in rands.

7

1.12 State TWO other factors, that could influence the driving time on the road. 2

1.13 Use Annexure A to draw the line graphs showing the relationship between the

total amount payable and the distance covered by Mr Mthembu, using company

Y.

5

1.14 Explain the meaning of break-even point. 2

1.15 Use the graph to determine the break-even point of the two companies. 2

1.16 Based on the graph, which company would you advice Mr Mthembu to take and

why?

3

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Annexure A

1.13

0

2000

4000

6000

8000

10000

12000

14000

16000

0 800 1600 2400 3200 4000

Tota

l Co

st (

R )

Distance (km)

Distance Travelled vs Total Cost

Company X

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QUESTION 2

Mrs Mthembu a consultant at Vodacom got the accommodation at Ulwazi resort,

situated at the west side of the sea.35km from the city

(3)

Standard suit:R550 per room/day Executive suit: R630 per room/ day

Free break fast Free break fast

No room service Room service

Gym Gym

Wi Fi : 500MB per day and R29 for

every 100 additional megabites

Wi Fi : 1GB per day.

3 Single beds 2 double bed

Check in: 24 March 2016 at 22h00

Check out: 28 March 2016 at 11h00

2.1 How many rooms should Mthembu’s family book? 2

2.2 How many nights would they spend at the hotel? 2

2.3 Which rooms should they book for the entire family? 2

2.4 Express the Wi Fi of the standard room to the Wi Fi of the executive room as a

ratio in its simplest form.

3

2.5 Ditebogo their eldest son normally uses 623MB per day. Determine the total

amount to be budgeted for the Wi-Fi if he has to stay in the standard room and

he is the only one that will use the data.

4

2.6 Mr Mthembu has budgeted R3000 for leisure, and divided the money : Father,

Mother, Ditebogo and Sani in the ratio of 4:3:2:2. Determine the actual amount

budgeted for the mother.

3

2.7 If the family budgeted R1 500 for food, calculate the total amount they should

budget for the trip excluding car rental.

3

2.8 If he had saved R2 000 every month for the period of 10 months, will this be

enough to cater for the trip?

4

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SESSION 4 DATA HANDLING TOPIC: DATA HANDLING SECTION: CLASSIFYING, ORGANIZING, SUMMARIZING ,REPRESENTING AND ANALYZING DATA CONTEXT :HEALTH , HEIGHT AND POPULATION TERMINOLOGY: BIASED, SAMPLE, DEPENDENT, INDEPENDENT, MOTIVATE, REPRESENT AND QUESTIONNAIRE BASIC SKILLS: INTERPRETING AND COMMUNICATING ANSWERS

QUESTION 1

Read the different data collection situations. Decide whether the sampling is biased

or representative. Explain your answer by referring to sample size, groups not

included in the sample or other factors which may have an influence on the data.

1.1. Ten grade 11 learners were asked which cold drink is their favourite. The

results were used to predict which types and how many of the different cold

drinks must be bought by the tuck shop manager.

(2)

1.2 A school has 560 learners. The school wants to develop the cafeteria

area. To find out the opinion of all the students, 25 learners from each

grade (8 to 12) were asked for their opinions by answering a

questionnaire. Males and females from all racial groups were included

in the sample.

(2)

1.3 A market researcher stands outside a supermarket from 08:00 to 10:00

on a Monday, and asks questions about grocery purchases, to predict

the grocery purchasing habits in that suburb.

(2)

1.4 A bookseller wants to know how many people in Gauteng read novels,

hence she asked a sample of people whether they have read a novel in

the past month.

1.4.1 Would a representative sample be obtained if the bookseller

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stood outside a bookstore? Motivate. (3)

1.4.2 Explain why the sample would not be representative if the

bookseller went to a cattle farm and asked the workers on the

farm this question.

(2)

1.4.3 Suggest how a representative sample could be obtained.

(2)

1.2 The life orientation teacher, Mr Bruinders, Involved his grade 8 learner in a project to

investigate the time spend doing homework per week and the results on the report

cards at the end of the second term. The time row indicates the total time that they

effectively spend on doing homework (it includes studying). The results row gives

the average percentages that the learners had on their reports at the end of the

second term.

Time 10 12 8 20 17 10 9 5 17

Results 57% 69% 44% 90% 70% 86% 49% 41% 83%

Time 16 13 8 23 13 15 11 18 19

Results 74% 63% 47% 65% 59% 65% 54% 84% 85%

Time 14 16 12 17 16 24 19 16 5

Results 66% 79% 57% 73% 69% 92% 86% 81% 38%

1.2.1 Draw a scatter plot on a graph paper. Name the graph and label the axes.

Record the Time on the horizontal axis. Make provision for percentage

ranging from 30% to 100% on the vertical axis.

2

(5)

1.2.2 Use your scatter plot to answer the following questions:

(a) Is there a correlation between the hours spent on homework and the

performance of learners?

1 (1)

(b) What type of correlation is this? Positive or negative? 1 (1)

(c) Are there any sets of co-ordinates that does not fit into the pattern

that evolved from this scatter graph?

1 (1)

(d) Write down the two sets of ordered pairs that seems to be completely

out of line. Give possible explanations for each of these exceptions.

4 (3)

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QUESTION 2

2.1 The Ebola-virus outbreak in West Africa during August 2014 is recorded as the

biggest outbreak of the virus. PIE CHART 1 below shows the number of Ebola

cases recorded in the three countries that were effected severely. PIE CHART 2

shows the number of Ebola deaths in the 3 countries. Use the pie charts to answer

the questions that follow:

PIE CHART 1 PIE CHART 2

[Adapted from WHO, Aug 2014]

2.1.1 The total number of Ebola deaths for the three counties totaled 961 in

August 2014. Determine how many more people died in Sierra Leone

compared to Guinea.

2

(4)

2.1.2 Determine what percentage of all the people who got infected with the

Ebola-virus, died of Ebola.

1

(2)

2.1.3 Express the number of people from Liberia who died from Ebola compared

to the number in Liberia who got infected as a unit ratio. Show all

calculations.

2

(4)

2.2 Health Workers from inside the countries as well as volunteers from all over the

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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world got involved in the treatment of the Ebola patients. The Ebola statistics for

health workers below, should be used to answer the questions that follow.

TABLE 1: Ebola Virus Disease infections in health workers in Guinea, Liberia and Sierra Leone

2.2.1 Explain why the data can be classified as discreet data. 1 (2)

2.2.2 Determine the values of A and B. 1 (4)

2.2.3 Is the statement below correct? If not, motivate your answer.

“ More than 50% of the health workers in the three countries died of Ebola.”

4

(2)

2.2.4 Which set of data value is not suitable to be compared with the others.

State whether you expect the total should be lower or higher. Substantiate

your answers.

4

(4)

2.3 On 9 May 2015 updated statistics were released by the Word Health Organisation.

Use the to answer the following questions.

2.3.1 Name the country and the relevant age group in which the highest

percentage of that group was confirmed to be infected. Justify your answer

by showing the relevant percentage calculations.

2

(4)

2.3.2 Which country was least affected by the Ebola outbreak. Motivate your

choice.

(3)

A

B

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SESSION 5

DATA HANDLING: INTERPRETATION

QUESTION 1

Every December, many South Africans lose their loved ones in road fatalities.

Transport Minister Dipuo Peters told reporters in Pretoria at the release of the

preliminary festive season road death statistics for the period 1 December 2013

to 7January 2014.

Provincial accident statistics

Gauteng recorded 268 fatalities, while KwaZulu-Natal had the highest number of

fatalities, 284. Limpopo 134 fatalities, the Eastern Cape with 190 fatalities, and

the Free State 121 fatalities. The Western Cape had 114 fatalities, the North

West had 88 fatalities, and Mpumalanga had 134 fatalities. The Northern Cape

had 43 fatalities.

A fatality is a death resulting from an accident such as road accidents.

1.1 Calculate the mean number of fatalities recorded for the period 1

December 2013 to 7January 2014.

(3)

1.2 What percentage do the fatalities recorded in Kwa-Zulu Natal represent?

(3)

1.3 Identify two possible causes of fatalities during the time of festive season

(2)

1.4 The number of fatalities per province has been provided below:

268 284 190 121 114 88 134 43 134 .

1.4.1 Calculate the inter-quartile range from the data (3) 1.4.2 What is the upper quartile? (2)

1.5 A box-and-whisker plot to represent the fatalities has been drawn below: 43 101 134 229 284

Use the box-and whisker plot to answer the following questions:

1.5.1 Determine the median (2) 1.5.2 How many provinces had fatalities above the median? (2) 1.5.3 What percentage of the fatalities is below the lower quartile? (3) 1.5.4 What percentage of fatalities recorded is located between the

lower quartile and the median? (3)

1.5.5 Provide two sets of advice that you would give to motorists to minimise road accidents during festive seasons

(2)

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QUESTION 2 – SOCCER PREMIER LEAGUE

Below is 2015/165+ South African Soccer Premier League table. Use it to

answer the questions that follow :

Absa Premiership

Pos Team Pld W D L GF GA GD Pts

1 Mamelodi Sundowns 19 14 3 2 37 14 23 45

2 Bidvest Wits 19 11 3 5 32 17 15 36

3 Black Aces 19 10 6 3 25 14 11 36

4 Kaizer Chiefs 19 9 8 2 28 15 13 35

5 Platinum Stars 18 8 7 3 27 19 8 31

6 Chippa United 19 9 1 9 27 29 -2 28

7 Golden Arrows 18 7 3 8 18 21 -3 24

8 SuperSport United 19 6 6 7 19 24 -5 24

9 Orlando Pirates 18 6 5 7 21 20 1 23

10 Ajax Cape Town 18 6 5 7 25 25 0 23

11 Bloem Celtic 19 5 7 7 16 17 -1 22

12 Free State Stars 18 6 4 8 20 26 -6 22

13 Polokwane City 19 6 3 10 20 30 -10 21

14 Jomo Cosmos 19 4 5 10 13 22 -9 17

15 University of Pretoria 19 3 4 12 10 26 -16 13

16 Maritzburg Utd 18 1 6 11 20 39 -19 9

2.4.1 Calculate the median of the goal difference (GD). (3)

2.4.2 Determine the mean of the points for (GF) to the nearest

integer.

(3)

2.4.3 What were the modal goals against (GA)? (2)

2.4.4 Calculate the range of the points against (Pts). (3)

2.4.5 Which measure of central tendency provides the most accurate

representation of the points against (GF) data? Give ONE

reason for your answer.

(3)

.

[14]

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QUESTION 3

3.1 The 2015 Cricket World Cup was hosted in Australia and New Zealand during February and March. In an innings (INN) each team had to bat for 50 overs and they had to aim to get as many runs as possible. TABLE 1 shows the 25 players who obtained the highest total number of runs for the tournament.

TABLE 1 2015 - World Cup Cricket Top 25 run scorers

POS PLAYER TEAM INN RUNS

SCORED

BALLS

FACED

AVG STRIKE RATE

4s 6s

1 Martin Guptill New Zealand

9 547 523 68.38 104.59 59 16

2 Kumar Sangakkara Sri Lanka 7 541 511 108.20 105.87 57 7

3 AB de Villiers South Africa

7 482 334 96.40 144.31 43 21

4 Brendan Taylor Zimbabwe 6 433 405 72.17 106.91 43 12

5 Shikhar Dhawan India 8 412 449 51.50 91.76 48 9

6 Steven Smith Australia 7 402 439 67.00 91.57 37 4

7 Tillakaratne Dilshan

Sri Lanka 7 395 409 65.83 96.58 46 3

8 Faf du Plessis South Africa

7 380 449 63.33 84.63 28 4

9 Mahmudullah Bangladesh 6 365 446 73.00 81.84 30 6

10 Misbah-ul-Haq Pakistan 7 350 466 50.00 75.11 25 7

11 David Warner Australia 8 345 287 49.29 120.21 38 9

12 Chris Gayle West Indies 6 340 290 56.67 117.24 17 26

13 Sean Williams Zimbabwe 6 339 311 67.80 109.00 29 6

14 Hashim Amla South Africa

8 333 350 41.62 95.14 35 5

15 Rohit Sharma India 8 330 360 47.14 91.67 33 9

16 Brendon McCullum New Zealand

9 328 174 36.44 188.51 44 17

17 Glenn Maxwell Australia 6 324 178 64.80 182.02 35 14

18 David Miller South Africa

7 324 233 64.80 139.06 21 14

19 Shaiman Anwar UAE 6 311 340 51.83 91.47 34 4

20 Grant Elliott New Zealand

8 310 294 44.29 A 29 7

21 Virat Kohli India 8 305 374 50.83 81.55 29 1

22 Lahiru Thirimanne Sri Lanka 7 302 356 50.33 84.83 29 2

23 Mushfiqur Rahim Bangladesh 6 298 282 49.67 105.67 26 5

24 Suresh Raina India 6 284 258 56.80 110.08 25 8

25 Aaron Finch Australia 8 280 304 35.00 92.11 26 6

2015 Cricbuzz.com, Times Internet Limited – adapted

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3.1.1 How many teams had players in the top 25 run-scorers? (2)

3.1.2 The strike rate is determined by using the following formula:

Strike Rate = number of runs scored

number of ball faced 100

Use this formula to determine the value of A in the table.

(2)

3.1.3 The first column (POS) indicates the position of a player in the top 25 list.

(a) Determine the median number of runs scored by the 25 players. (2)

(b) Calculate the range of the runs obtained by the top 25 run scorers. (2)

3.1.4 In cricket the average number of runs scored is calculated by dividing the total number of runs by the number of innings (INN) in which the batsman was out. Steven Smith (Australia) had an average of 67. He was not out in only one of the seven innings. He was therefore out in six innings, hence his average was calculated as follows: 402 ÷ 6 = 67.

Calculate in how many of the 7 innings AB de Villiers (South Africa) was not dismissed.

(2)

3.1.5 The numbers in the columns under the 4s and 6s indicate how many times the batsman scored 4 runs / 6 runs of one ball.

(a) Calculate the total number of runs that AB de Villiers scored by hitting fours and sixes.

(3)

(b) Determine what percentage of his total score was obtained by hitting boundaries (4s and 6s)

(2)

3.2 Find the most suitable statement from column B which will fit the term in column A. Write the number and the letter of the statement (e.g. 3.2.5 F)

COLUMN A COLUMN B

3.2.1 Mode A The difference between the highest and the lowest value in the data set

3.2.2 Mean B When the values on the horizontal axis increase, the corresponding values on the vertical axis decrease

3.2.3 Negative correlation C The 75th percentile value

3.2.4 Quartile 3 D The sum of the data divided by the number of data items

E The data item/value which appears most often in the data set

(4)

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QUESTION 4

Mr Tshabalala, a Mathematics teacher, compared the November 2014 examination

results of his two grade 11 Mathematics classes to see which class performed

better.

In class A there are 28 learners and in class B there are 24 learners.

The results of the examination for the two groups are represented by the two box-

and-whisker diagrams below:

The ordered marks of class B, are given below as rounded percentages.

15 18 18 24 33 32 37 40 46 55 58 S

63 65 67 T 73 74 74 76 80 85 87 93

4.1 Use the box-and-whisker plot and/or the data values for class B, to answer

the following:

4.1.1 Use the median to determine the value of S. (3)

4.1.2 Determine the missing value of T if the mean percentage of class

B is 56,083% .

(3)

0 10 20 30 40 50 60 70 80 90 100

1

2CLASS B

CLASS A

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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4.2 Determine the interquartile range for class A. (3)

4.3 How many learners in class A scored between 56% and 77% in the test? (2)

4.4 Decide whether the following statement is correct. Motivate your decision

by referring to specific quartile values and the number of learners. “In total

at least fifteen learners from the 2 classes obtained a distinction (80%

and above) in Mathematics.”

(3)

4.5 Explain why it can be said that class B performed better in the examination.

Compare marks at specific quartile/percentile markers or quartile ranges in

the box-and-whisker plot, to substantiate this statement. Provide two

reasons.

(4)

4.6 Calculate the probability of randomly selecting the name of a learner from

class B who obtained a percentage mark of less than 34%.

(2)

4.7 Give 2 possible reasons why learners in schools are not performing well in

Mathematics. One reason should refer to an educator cause and the other

to a learner cause. Be specific and clear.

(2)

[20]

MATHEMATICAL LITERACY GRADE 12 LEARNER’S NOTES SSIP MATERIAL 2019

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QUESTION 5

5.1 The sales manager at “Water IQ”, a company that sells water tanks,

collected data on the number of tanks that his three top performing

marketing agents sold per month, over a period of one year. He

summarised the data in the box-and-whisker plots below.

5.1.1 Estimate the lower quartile value of the number of water tanks sold by agent C.

(2)

5.1.2 For how many months did agent A sell 40 or less tanks? Show/explain your reasoning steps

(3)

5.1.3 Determine the minimum and the maximum number of tanks sold

per month by marketing agent B, during the three months that he recorded his lowest sales.

(4)

5.1.4 Agent B received the award for the “Top Salesman” in 2014. Do

you think he awarded the correct salesman? Give 3 reasons for your answer.

(7)

5.1.5 If the minimum commission that an agent can earn per tank, is

R713.76, determine the lowest amount that agent C could have earned in 2014.

(4)