JUNE EXAMINATION

GRADE 12

2024

MATHEMATICAL LITERACY

(PAPER 1)

TIME: 2 hours

MARKS: 100

11 pages + an addendum of 6 pages

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INSTRUCTIONS AND INFORMATION

1. This question paper consists of FOUR questions. Answer ALL the questions.

2. Use the ANNEXURES in the ADDENDUM as follows:

 Use ANNEXURE A for QUESTION 2.2.1, 2.2.2 and 2.2.3

 Use ANNEXURE B for QUESTION 2.2.4
 Use ANNEXURE C for QUESTION 3.1
 Use ANNEXURE D for QUESTION 3.2
 Use ANNEXURE E for QUESTION 3.3

3. Number your answers correctly according to the numbering system used in this question
paper.

4. An approved calculator (non-programmable and non-graphical) may be used, unless stated

otherwise.

5. Show ALL calculations clearly.

6. Round-off ALL final answers appropriately according to the given context, unless stated
otherwise.

7. Indicate units of measurement, where applicable.

8. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise.

9. Start EACH question on a NEW page.

10. Write neatly and legibly.

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QUESTION 1

1.1 Social media is a collective term for websites and applications (Apps) that focus on
communication, community-based input, interaction, content-sharing and collaboration.
People use social media to stay in touch and interact with friends, family and various
communities.

Percentage of People Using Social Media on a Daily Basis

80%

60%

40%

20%

0%
YouTube Twitter Instagram SnapChat TikTok Facebook
[Source: Stats South Africa]

Use the graph above to answer the questions that follow.

1.1.1 Identify the type of graph indicated above. (2)

1.1.2 Name the social media platform that is the least popular. (2)

1.1.3 Determine the percentage of Instagram users. (2)

1.1.4 There are 10 million users daily on social media platforms. Calculate how many
users are on TikTok daily. (2)

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1.2 When buying a car, the generally accepted rule of thumb is that you should not spend more
than 20% of your total income on car payments.

[Source: www.autotrader.co.za]
Mr Clain is looking at his dream car, a Golf GTI 2023 model.

Mr Clain earns a monthly gross salary of R68 000.

The price of the car is calculated as follows:

Retail Price R834 900

Deposit R0
Trade-in Value R0
Residual/Balloon payment 0%
Monthly Repayment R16 760
Total Interest A
Total Estimated Repayment R1 206 711
Repayment Period (Months) 72
Estimated Interest rate 13%

NOTE: Mr Clain does not want to trade in his current car.

Use the information above to answer the questions that follow.

1.2.1 Write the total estimated repayment value out in words. (2)

1.2.2 Choose the correct answer from the options below. Write only the letter (A – D) as
an answer.

The correct definition for interest rate is …

A the money paid on the borrowed amount.

B the price you pay to borrow money.

C the amount you pay back, thus the original amount you borrowed plus a
certain percentage of the loan amount as interest.

D the total amount in rands you pay back for a loan. (2)

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1.2.3 Calculate 20% of Mr Clains' monthly gross salary. (2)

1.2.4 What is the original selling price of the car without the interest? (2)

1.2.5 Determine the value of A, the total amount of interest payable on the GTI Golf. (2)

1.2.6 Write down the repayment period in years. (2)

[20]

QUESTION 2

2.1 Mr Randy Ford moved from the USA to South Africa and was appointed as an Head of
Department for Mathematical Literacy and Mathematics at Zoonodle High School in
Johannesburg. Below is an extract of his salary slip.

Salary Advice
Zoonodle High School
21023 Pearson Point Road
Gate Avenue
Johannesburg

Date of Joining : 2022-06-23 Employee Name : Randy Ford

Pay Period : August 2023 Designation : HOD
Worked Days : 26 Department : Mathematics

Earnings Amount Deductions Amount

Basic Pay 39 380,75 Tax RSA PAYE 8 496,32
Home allowance 1 691,38 Care4 Medical Aid 1 701,00
Employee 1 701
Member fee 4 027
Home loan 15 250,00

Gross Income 41 072,13 Total Deductions A

Net Pay B

Use the salary slip above to answer the questions that follow.

2.1.1 Explain the meaning of PAYE as seen in context of the salary slip above. (2)

2.1.2 Show by means of calculations how the gross income of R41 072,13 has been
determined. (2)

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2.1.3 Calculate the value for A, Mr Ford's Total Deductions. (2)

2.1.4 Mr Ford informed his wife that he will have a net salary of R15 625,81.

Verify with calculations whether Mr Ford is correct. Write a formula for

calculating the net salary to assist you in your calculations. (3)

2.1.5 Calculate what percentage is paid by the employee towards medical aid. Round-off
your answer to the nearest percentage. (3)

2.2 One of the major sources of revenue for the government is personal income tax. Mr Ford
does extra work after hours not necessarily shown on his salary advice and submits his tax
returns via SARS e-filing. ANNEXURE A shows an extract of Mr Ford’s e-filing
calculations.

2.2.1 Determine the total amount of income assessed by SARS for Mr Ford after all
allowances and extra remunerations have been considered. Use ANNEXURE A to
answer the question. (2)

2.2.2 Use ANNEXURE A and identify Mr Ford's taxable income after the assessment
calculation. (2)

2.2.3 The e-filing calculations on ANNEXURE A show a value of R4 163,70 as the

CALCULATED result. Show by means of calculations how the amount was
calculated and explain whether this amount is to be paid to SARS, or if this
amount should be paid to Mr Ford. (6)

2.2.4 According to the assessment done on e-filing, it is apparent that Mr Ford needs to
pay R149 996,92 on his taxable income before rebates. Make use of the tax table
for 2023 on ANNEXURE B and verify whether this amount is correctly
calculated. (3)

2.3 Mr Ford is a homeowner and receives a monthly water bill.

The City of Ekurhuleni will provide free basic wastewater services per month. The
following rates will apply.

Tariff R/kl Tariff R/kl

Tariff Summary
2022/23 2023/24
Number of residential units × (0 – 6 kℓ/month) R16,18 R18,12
Number of residential units × (7 – 15 kℓ/month) R26,66 R29,86
Number of residential units × (16 – 30 kℓ/month) R32,66 R36,58
Number of residential units × (31 – 45 kℓ/month) R40,64 R45,52
Number of residential units × (46 kℓ or more/month) R50,11 R56,12
All tariffs include 15% VAT.
[Source: Tariffs, City of Ekurhuleni]

2.3.1 Determine the tariff in R/kℓ for 15 kℓ of water usage per month in 2023/2024. (2)

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JUNE EXAMINATION
GRADE 12

2024

MATHEMATICAL LITERACY

(PAPER 1)

ADDENDUM

6 pages

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 MATHEMATICAL LITERACY 2
(PAPER 1) ADDENDUM GR12 0624

ANNEXURE A

QUESTION 2.2.1, 2.2.2 and 2.2.3

TABLE 1:

INCOME TAX
TAX CALCULATOR RESULT

Details
Reference number: 835041121578
Year of assessment: 2023
Date: 20231020
Amount Assessed
Code Source Code Description Rand
3601 INCOME – TAXABLE 433 064,00
3605 ANNUAL PAYMENT – TAXABLE 36 176,00
3713 OTHER ALLOWANCES – TAXABLE 127 198,00
3817 PENSION FUND CONTRIBUTIONS – DC 70 199,00
3702 RE-IMBURSIVE TRAVEL ALLOWANCE – TAX 33 245,00
3810 MEDICAL SCHEME FEES FRINGE-BENEFIT 19 838,00
TOTAL 719 720,00
Deductions
Code Source Code Description Rand
4014 TRAVEL EXPENSES – FIXED COST 33 245,00
4029 RETIREMENT FUND CONTRIBUTIONS 102 678,00
TOTAL 135 923,00
Taxable income 583 797,00
Rating percentage (%) 0,00
Rating amount 583 797,00
Taxable income – Subject to retirement fund lump sum benefit tax rates 0,00
Taxable income – Subject to retirement fund lump sum withdrawal benefit
tax rates 0,00
Tax calculation
Normal tax on taxable income 149 996,92
Rebates 16 425,00
Additional tax 0,00
Subtotal 133 571,92
Employees tax and tax credits 129 408,22
Calculated result 4 163,70
[Source: IRP5 www.sars.gov.za]

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ANNEXURE B

QUESTION 2.2.4

TABLE 2: 2022/2023 TAX YEAR (1 March 2022 – 28 February 2023)

ANNUAL TAXABLE INCOME (R) TARIFFS OF TAX (R)

A 1 – 226 000 18% of taxable income
B 226 001 – 353 100 40 680 + 26% of taxable income above 226 000
C 353 101 – 488 700 73 726 + 31% of taxable income above 353 101
D 488 701 – 641 400 115 762 + 36% of taxable income above 488 700
E 641 401 – 817 600 170 734 + 39% of taxable income above 641 400
F 817 601 – 1 731 600 239 452 + 41% of taxable income above 817 600
G 1 731 601 and above 614 192 + 45% of taxable income above 1 731 600

TAX YEAR
TAX REBATE
2022/23 2021/22 2020/21
Primary R16 425 R15 714 R14 958
Secondary (65 years and older) R9 000 R8 613 R8 199
Tertiary (75 years and older) R2 997 R2 871 R2 736
[Source: Adapted from www.sars.gov.za]

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ANNEXURE C

QUESTION 3.1

HEIGHT OF THE AVERAGE SOUTH AFRICAN MAN COMPARED TO

HEIGHT OF PLAYERS IN THE SPRINGBOK TEAM
Springbok line-up for Rugby World Cup R G Snyman (2,06 m)
Jean Kleyn (2,03 m)
Grant Williams (1,74 m) Jesse Kriel (1,86 m) Eben Etzebeth (2,03 m)
Average South Willie le Roux (1,86 m)
Faf de Klerk (1,72 m) Lock
African man
1,68 m Cheslin Kolbe (1,70 cm) Centre & Wing
Wing & Scrum-Half

The average height of the Springbok Squad in 2023 is 1,86 m.

[Source: Rugby Mag.co.za]

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ANNEXURE D

QUESTION 3.2

COMPARISON OF THE WEIGHT OF THE NEW ZEALAND AND SOUTH AFRICAN RUGBY PLAYERS

New Zealand

South Africa

[Source: Outlier Africa]

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ANNEXURE E

QUESTION 3.3

Salary difference between world famous soccer players versus world famous rugby players.

Cristiano Ronaldo Neymar Junior ANNUAL SALARIES OF WORLD FAMOUS

€35 000 000 PER YEAR €37 000 000 PER YEAR RUGBY PLAYERS (IN MILLIONS)
Amount earned in million
Name of player Nationality
rand per annum
Dan Carter NZ R20,13
Matt Giteau AUS R20,13
Siya Kolisi SA R35,00
Faf de Klerk SA R21,00
Cheslin Kolbe SA R22,00
[Source: Outlier Africa]

Current exchange rate:

1 Euro = 20,05 South African Rand
1 (US) Dollar = 18,36 South African Rand
[Source: www.x-rates.com]

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2.3.2 Calculate the percentage increase for water tariffs from 2022/2023 to 2023/2024, if
a household uses approximately 30 kℓ of water per month.
You may use the formula:
𝑻𝒂𝒓𝒊𝒇𝒇 𝟐𝟎𝟐𝟒 𝑻𝒂𝒓𝒊𝒇𝒇 𝟐𝟎𝟐𝟑
Percentage increase = 𝑻𝒂𝒓𝒊𝒇𝒇 𝟐𝟎𝟐𝟑
× 100% (3)

2.3.3 Mr Ford made a comment in 2023, after calculating the percentage increase as
indicated, that he will pay R300 more for using 35 kℓ of water in 2024. Verify his
statement by showing all calculations. (6)
[36]
QUESTION 3

3.1 With its fourth Rugby World Cup victory, South Africa stands at the top of the ranking list.

Commitment to the cause. Confidence to do a job. Belief in the system. This is the South
African way. It has won South Africa the 2023 Men’s Rugby World Cup.

[Source: www.sarugbymag.co.za]
ANNEXURE C shows the height of an average South African man and the rugby players
with their positions in the team, as well as their respective heights.

Use ANNEXURE C and answer the questions that follow.

3.1.1 Determine the height range with regard to the rugby players used in this set of
data. (3)

3.1.2 The average height of a South African rugby player is 1,86 m. Use the following
formula and determine the total height, in metres, of the 15 rugby players in the
Springbok squad.
Mean = total height
total number of players in the squad (4)

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3.2 Rugby is arguably one of the most body-type inclusive sports. Unlike long-distance
running, or bodybuilding, whatever shape you are, there is a place for you on the rugby
field.

ANNEXURE D shows two box and whisker diagrams comparing the weight of the New
Zealand and South African rugby teams.

Use the box and whisker diagrams in ANNEXURE D to answer the questions that follow.

3.2.1 The 5-point summary for New Zealand is as follow:

Q3 Max Q1 Min Q2
113 kg 140 kg A 70 kg 100 kg

If the interquartile range is equal to 25 kg, determine the value for

A = Quartile 1. (4)

3.2.2 Which ONE of the following terms best describes the data displayed in the box
and whisker diagram:

Discreet data OR Continuous data

Give a reason for your answer. (3)

3.2.3 The box and whisker diagrams compare the weight between the New Zealand and
South African rugby players.

What term is used to define a value that is very far apart from other values. (2)

3.3 According to international statistics, there is a great difference between salaries paid to
soccer players and rugby players.

ANNEXURE E shows information on the salaries paid to famous rugby players and soccer
players in different currencies.

Use the information in ANNEXURE E to answer the following questions.

3.3.1 Neymar Junior and Cristiano Ronaldo are two of the most famous players in the
world of football.

Convert Cristiano Ronaldo’s yearly salary to rand. (2)

3.3.2 Determine the median annual salary, in millions, of the given 5 world-famous
rugby players provided. (3)

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3.3.3 Write down the annual salary of Ronaldo to the annual salary of Siya Kolisi in
ratio form and simplify it as ... : 1
Hence, explain the meaning of the calculated ratio. (3)
[24]

QUESTION 4

4.1 Pink power: Barbie movie breaks record merchandise sell-outs.

The Barbie movie shattered this year’s box office records in its opening weekend with
$125 million in ticket sales. The film had a $145 million budget backed by Warner Bros.
and Mattel.

Even before the movie was released merchandise sold out, for example Barbie tumblers at
$19,99 and the Barbie blanket in a bag at $22,99. These merchandise items are currently on
backorder until June 2024 and are now selling on eBay for around $77 and $125
respectively.

Barbie tumbler @ $77 on eBay Barbie blanket purse/bag @ $125 on eBay

4.1.1 (a) Write a formula for profit in the given context. (2)

(b) Determine the amount of profit in rand made by eBay users selling the
Barbie blanket in a bag for $125 per blanket

NOTE: The exchange rate is currently $1 = R18,36. (2)

4.1.2 Verify with calculations, that if the Barbie movie made a revenue of $125 million
worldwide during the opening weekend, with a profit margin of 60%, the expenses
for the opening weekend amounted to $50 million.

You may use the following formula:

𝑹𝒆𝒗𝒆𝒏𝒖𝒆 𝑬𝒙𝒑𝒆𝒏𝒔𝒆
Profit margin = 𝑹𝒆𝒗𝒆𝒏𝒖𝒆
× 𝟏𝟎𝟎% (5)

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4.2 The graph below indicates the age groups that watched the Barbie movie.

Barbie Movie Watchers in South Africa

Generation X (40+)
10%

Millenials (30 - 39 )
15%

Zilennials (23 - 29)

28%

Generation Z (13 - 22)

47%

0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
Percentage people per age group that watched the Barbie movie

[Source: www.people.com]

Use the graph above to answer the questions that follow.

4.2.1 The Gen Z population in South Africa is estimated to be 21 000 000 people. Of
these, 47% watched the Barbie movie at an estimated cost of R75 per ticket for a
regular 2D movie.

Calculate the total gross income made from the Gen Z population in South Africa. (4)

4.2.2 What is the probability of a 2-year-old going to the movies to watch the popular
Barbie movie? (2)

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4.3 At the movies you have the option to buy ice cream before watching the Barbie Movie.

Below is a tree diagram illustrating flavours with toppings and possible outcomes.

CHOOSE ICE CHOOSE OUTCOMES

CREAM TOPPING

Nuts Vanilla; Nuts

Sprinkles B

Nuts Strawberry;
Nuts
Enter shop Strawberry

Sprinkles Strawberry; Sprinkles

Nuts Chocolate; Nuts

Chocolate

Sprinkles Chocolate; Sprinkles

Use the tree diagram above to answer the questions that follow.

4.3.1 Write the possible outcome for B. (2)

4.3.2 Write down the probability, as a decimal fraction, that you will choose chocolate
ice cream with nuts. Round-off your answer to two decimal places. (3)
[20]

TOTAL: 100

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