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2026 Grade 12 Investigation Term 1

The document is a Grade 12 Mathematical Literacy assignment issued on January 30, 2026, consisting of five questions that cover various topics including bank statements, tax calculations, water tariffs, and business income. It provides specific instructions for answering the questions and includes tables with relevant data for calculations. The assignment is designed for official consumption and is structured to assess students' understanding of mathematical concepts in real-life contexts.
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100% found this document useful (4 votes)
44K views9 pages

2026 Grade 12 Investigation Term 1

The document is a Grade 12 Mathematical Literacy assignment issued on January 30, 2026, consisting of five questions that cover various topics including bank statements, tax calculations, water tariffs, and business income. It provides specific instructions for answering the questions and includes tables with relevant data for calculations. The assignment is designed for official consumption and is structured to assess students' understanding of mathematical concepts in real-life contexts.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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NATIONAL SENIOR CERTIFICATE

GRADE 12

MATHEMATICAL LITERACY
ASSIGNMENT
Date Issued: 30 January 2026
Date of Administration: 06 February
2025

MARKS: 100

TIME: 2 hours

This Question paper consists of 5 pages including the cover page

INSTRUCTIONS AND INFORMATION

1. This question paper consists of THREE (5) questions.


2. Number answers correctly according to the system used in this question paper.
3. An approved calculator (non-programmable and non-graphical) may be used.
4. All the final answers must be rounded off according to the context, unless stated
otherwise.
5. Units of measurement must be indicated where applicable
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Mathematical Literacy/Gr.12 NSC Limpopo 2026
2

QUESTION 1
Below is a bank statement for Ms TT Mushasha for the month of March 2022. Use the
account statement below to answer the questions that follow.
TABLE 1: BANK STATEMENT FOR MARCH 2022
FGT BANK
Makhado Crossing
Nkuzana-Masia Village
0920
TT Mushasha
43 Hluvuka Street
Bungeni Hlanganani
0960
ELITE CURRENT ACCOUNT NUMBER; 0 763 234 62
Details Service Debits Credits Date Balance
fee
Balance brought forward 02/15 2 875,77-
Statement costs # 20,18- 02/17 2 895,95-
Card purchase 296,10- 02/20 3 193,05-
Salary B 02/21 15 761,80
Insurance premium 187,27- 02/25 15 574,53
Dividend YY4098 shares 840,00 02/28 16 414,53
Bond 4 069,52- 03/02 12 345,01
Auto Bank deposit 1 200,00 03/05 13 545,01
Fee Bank deposit # 42,37- 03/05 13 502,64
Fuel CLTX Garage 729,45- 03/07 12 773,19
ATM withdraw 1 800,00- 03/10 10 973,19
Withdrawal fee # 17,47- 03/10 10 955,72
Fixed monthly fee # 100,88 03/11 10 854,84
Balance carried forward 03/15 10 854,84

1.1 Explain the terms “credit” and “debits” according to the context used above. (4)
1.2 Identify the type of account used in the above statement. (2)
1.3 Determine the balance on the 14/02/2022. (2)
1.4 Calculate the salary B paid into her account on 21/2/2022. (2)
1.5 Calculate the total bank fees charged in the above statement 2022. (2)
1.6 Calculate the total amount of debits (3)
[15]

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Mathematical Literacy/Gr.12 NSC Limpopo 2026
3

TABLE 2 below shows the rates at which tax was levied to individuals in South Africa for the
2020/2021 tax year.

TABLE 2: RATES FOR INDIVIDUALS 2020/2021 TAX YEAR


RATES APPLICABLE TO INDIVIDUALS 2021 TAX YEAR (1 MARCH
2020 – 28 FEBRUARY 2021)
Tax Taxable Income Rates of Tax (R)
Bracket (R)
1 1 – 205 900 18% of taxable income
2 205 901 – 321 600 37 062 + 26% of taxable income above 205 900
3 321 601 – 445 100 67 144 + 31% of taxable income above 321 600
4 445 101 – 584 200 105 429 +36% of taxable income above 445 100
5 584 201 – 744 800 155 505 +39% of taxable income above 584 200
6 744 801 – 1 577 300 218 139 +41% of taxable income above 744 800
7 1 577 301 and above 559 464+45%of taxable income above 1 577 300
Rebates Value Tax threshold
*Below age 65 R14 958 R83 100
*Age 65 to below 75 R8 199 R128 650
*Age 75 and above R2 736 R143 850
[Source: South African Revenue. Tax Pocket Guide 2020/2021]
Use the information above to answer the questions that follow
2.1 Write down the tax bracket in which a person who earns R473 496 per year, falls. (2)
2.2 Determine the maximum income a person that is 65 years old, must earn before starting (2)
to pay tax.
2.3 Mrs Sithole, a 65-year-old saleswoman, earned a gross monthly salary of R35 455
during the 2020/2021 tax year. 7, 5% of her gross salary is deducted for contributions
towards her pension fund.

2.3.1 Calculate her annual gross salary. (2)


2.3.2 Calculate her tax rebate. (2)
2.3.3 Calculate her annual taxable income. You may use the formula: (3)
𝑨𝒏𝒏𝒖𝒂𝒍 𝑻𝒂𝒙𝒂𝒃𝒍𝒆 𝑰𝒏𝒄𝒐 = (𝒂𝒏𝒏𝒖𝒂𝒍 𝑮𝒓𝒐𝒔𝒔 𝑺𝒂𝒍𝒂𝒓𝒚 − 𝒂𝒏𝒏𝒖𝒂𝒍 𝑷𝒆𝒏𝒔𝒊𝒐𝒏)
2.3.4 Hence, use the tax table for 2020/2021 and the information above to calculate (6)
Mrs Sithole’s annual income tax.
[17]

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QUESTION 3

3.1

TABLE 3: RESIDENTIAL WATER TARIFFS INCLUDING VAT


Block Tariff in kilolitres (kℓ) Tariff in Rands per kilolitre
Block 1 0–6 kℓ R10,34
Block 2 7–15 kℓ R24,54
Block 3 16–30 kℓ R27,63
Block 4 31–60 kℓ R33,10
Block 5 61 or more kℓ R38,91
[Source: [Link]]

Use TABLE 3 and the information above to answer the questions that follow.
3.1.1 Determine the maximum number of kℓ that can be charged in Block 2. (2)
3.1.2 Calculate the amount that Onama will pay for the water used. (5)

3.2 The following tables show municipal residential water and sanitation tariffs for domestic
users.
TABLE 4: MUNICIPAL RESIDENTIAL WATER AND SANITATION TARIFFS
Residential Water Tariffs (Domestic Full and Domestic Cluster)
Water Steps (1 kl = 1 000 litres) Year 2020/2021 Rands (Inc. VAT)
Step 1 (0 ≤ 6 kl) R17,92 (free for indigent households)
Step 2 (> 6 ≤ 10,5 kl) R25,49 (free for indigent households)
Step 3 (> 10,5 ≤ 35 kl) R36,19
Step 4 (> 35 kl) R79,46
Residential Sanitation Tariffs (Domestic Full and Domestic Cluster)
Water Steps (1 kl = 1 000 litres) Year 2020/2021 Rands (Inc. VAT)
Step 1 (0 ≤ 4,2 kl) R15,74 (free for indigent households)
Step 2 (> 4,2 ≤ 7,35 kl) R22,40 (free for indigent households)
Step 3 (> 7,35 ≤ 24,5 kl) R33,52
Step 4 (> 24,5 ≤ 35 kl) R60,32
• Sanitation is charged up to a maximum of 35 kl.
• Domestic Full = Standalone houses.
• Domestic Cluster = Flats, sectional title units, cluster developments and gated villages.

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3.2.1 Mr Mbhazima is under the free indigent household. Calculate his water bill for (3)
the month of September if he uses 35 kl of water.
3.2.2 Mr Mahada is not under the indigent households. Calculate his sanitation bill if (3)
he uses 25 kl.
3.2.3 The sanitation bill for Mr Mahada is VAT inclusive, calculate his bill before (3)
VAT was added.
3.2.4 Mr Chauke, who is also not under the indigent households, made a payment of (3)
R580 towards his sanitation tariff. Determine how many litres of water he used
for that month.
[19]

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QUESTION 4

Use the information above and TABLE 5 to answer the questions that follow:
4.1 What does the acronym UIF stand for? (2)

4.2 Write down the amount that is deducted every month for UIF. (2)
4.3 Calculate Mr. Parker’s annual pension fund deduction. (3)
4.4 Mr. Parker’s pension fund and donation contributions are allowable tax deductions.
Calculate his annual taxable income.

You may use the formula:


Monthly taxable income = Basic salary – Pension fund – Donation (4)
4.5 Calculate Mr. Parker’s annual Medical Tax Credits. (3)

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4.6 Use Table below and the information above to answer the questions that follow.

Andrew aged 35 years, earns a monthly taxable income of R43 000. He has a Medical
Aid that covers himself and his two children

TABLE 1: 2023 TAX YEAR (1 MARCH 2022 – 28 FEBRUARY 2023)


Taxable Income (R) Rates of tax (R)
0 – 226 000 18% of taxable income
226 001 – 353 100 40 680 + 26% of taxable income above 226 000
353 001 – 488 700 73 726 + 31% of taxable income above 353 100
488 701 – 641 400 115 762 + 36% of taxable income above 488 700
641 401 – 817 600 170 734 + 39% of taxable income above 641 400
817 601 – 1 731 600 239 452 + 41% of taxable income above 817 600
1 731 601 and above 614 192 + 45% of taxable income above 1 731 600

Rebates Tax Threshold


Below age 65 .................. R16 425,00 Below age 65 ................. R91 250,00
Age 65 to below 75........ R9 000,00 Age 65 to below 75 ........ R141 250,00
Age 75 and over............. R2 997,00 Age 75 and over ............. R157 900,00

Monthly Medical Aid Tax Credits


Principal member R347,00
First dependent R347,00
Each additional dependent R234,00 [Adapted from [Link]]

Use Table and the information above to answer the questions that follow.

4.6.1 Show how the amount of R40 680 in the second bracket was calculated. (2)

4.6.2 Calculate Andrew`s annual taxable income. (2)

4.6.3 Calculate Andrew`s yearly medical aid credits (rebate). (4)

4.6.4 Calculate Andrew`s monthly income tax. (7)

4.6.5 Andrew claims that if he did not belong to a medical aid, he would pay
R1 000 more tax per month. Verify with calculations if his claim is valid. (3)

4.6.6 Give one reason why people should pay tax. (2)
[34]

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QUESTION 5

Mogodu Monday has become a popular South African weekly occasion wherein many
celebrate the most unpopular day of the week by turning it into an enjoyable time over great
food with family and friends. During this day, mogodu is often enjoyed with a side of warm
pap, samp or dumpling.

A small business sells a plate of mogodu for R50,00.

NOTE WELL PLATE OF MOGODU SERVED WITH PAP


Mogodu is a combination of chopped
tripe and intestines served as a stew.

Pap is a traditional porridge made


from maize meal.
The cost to make one plate of mogodu is given by the following formula:

Total cost = 𝐑𝟏 𝟐𝟎𝟎 + (𝟐𝟔 × 𝐦) where 𝐦 = number of plates

[Adapted from #ReMojaKaofela@MojaCafe]

Use the information above to answer the questions that follow.

5.1 Use the equation above to determine the number of plates sold if the total cost
is R2 760. (4)

5.2 Construct a formula that can be used to calculate the income from selling a
plate of mogodu, in the form:

Income = (2)

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5.3 TABLE 6 below shows the total cost and income from selling plates
of mogodu.

TABLE 6: COST AND INCOME OF SELLING PLATES OF MOGODU


Number of 0 10 30 50 70 90 100
plates
Cost (R) 1 200 1 460 1 980 2 500 3 020 3 540 3 800
Income (R) 0 500 1 500 2 500 3 500 4 500 5 000

5.3.1 Explain the term break even in this context and identify the number of
plates that must be sold to break even. (4)

5.3.2 The manager of the small business stated that she could make a 8
25
profit on 100 plates of mogodu sold.

Verify, showing ALL calculations, if his statement is correct. (5)

[15]

[TOTAL MARKS: 100]

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Common questions

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Mrs Sithole’s annual gross salary is R425,460, with a pension fund deduction of 7.5%. After excluding R31,909.50 for the pension, it becomes R393,550.50. Her rebate for age 65 is R8,199. Calculating her tax using the relevant bracket, her taxable income falls under R445,101, implying a base tax of R105,429, plus 36% of income exceeding R445,100. Final tax is adjusted with the rebate, precise amount depending on calculations detailed in financial tables.

For indigent households, the first 10.5 kl is free; the next 24.5 kl is divided across relevant tariff blocks. For step 3 (>10.5 ≤ 35 kl) at R36.19, the bill for 24.5 kl is 24.5 * 36.19 = R886.66.

The tax brackets progress from 18% to 45% as income increases, with added rebates lowering taxes for seniors, showing measures toward equitable taxation. However, the substantial rate jumps between brackets can disproportionately impact those near the high end of a lower bracket, necessitating more nuanced thresholds to prevent marginal disadvantage. Comprehensive assessment requires empirical testing and comparison with economic contexts.

Break-even occurs when total cost equals total income, implying no net profit or loss. Using the cost formula Total cost = R1,200 + (26 * m) and income formula Income = 50 * m, the break-even point is calculated by equating the cost and income: 1,200 + 26m = 50m, resulting in m = 50 plates. Thus, selling 50 plates is necessary to break even.

The total debits are calculated by summing all listed debits: statement costs (R20.18), card purchase (R296.10), insurance premium (R187.27), bond payment (R4,069.52), fee bank deposit (R42.37), fuel purchase (R729.45), ATM withdrawal (R1,800.00), and withdrawal fee (R17.47), which totals to R7,162.36.

The income formula from selling mogodu is: Income = 50 * m, where m represents the number of plates sold. This is based on selling each plate at R50.

Andrew's monthly medical aid credits for himself and two children are (R347 + R347 + R234) = R928. Without the medical aid, this credit is not applied, thus increasing his payable tax by the credit amount. Direct calculation shows this threshold, without the impact of other factors, does not equate directly to a R1,000 increase, hence his claim requires reassessment and consideration of further tax interplay.

Mr. Mahada's sanitation bill includes water tariffs for 25 kl split across tariff steps. The first 4.2 kl are charged at R15.74, the next 3.15 kl at R22.40, and the remaining 17.65 kl at R33.52 per kl. Therefore, the sanitation bill is (4.2 * 15.74) + (3.15 * 22.40) + (17.65 * 33.52) = R33.88 + R70.56 + R591.40 = R695.84.

For an income of R473,496, the individual falls in the 4th tax bracket, as the income is between R445,101 and R584,200. According to the table, R105,429 plus 36% of the income exceeding R445,100 is applied.

ATM fees for numerous small transactions can accumulate more swiftly than a single larger one. Ms. Mushasha's extracted R1,800 incurs one fee, markedly less than repeating lower withdrawal thresholds multiple times, as consistent basic withdrawal fees would quickly outpace a single transaction fee. Concrete savings vary based on precise fee structure analysis, assumed from indication but not explicitly stated here.

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