Part A
Part A
Directorate: Curriculum
CURRICULUM FET
Mathematical Literacy
LEARNER BOOKLET
TOPIC: Revision Term 1 Finance
Part A
JUST IN
GRADE12
TIME
pg. 1
Western Cape Education Department
Directorate: Curriculum
pg. 2
Western Cape Education Department
Directorate: Curriculum
ANNEXURE B:
pg. 3
Western Cape Education Department
Directorate: Curriculum
1.1 Determine the number of days covered by this credit card statement. (2)
1.2 Use the transaction details and show, with calculations, how the closing balance was calculated. (5)
1.3 Explain why the bank omitted some digits from the account number on the statement (2)
1.4 The bank offers an insurance option on the outstanding balance of the credit card account by (5)
charging a rate of R3,50 per RI 000 (or part thereof) on the outstanding balance. Calculate how
much Mr Son would have paid for insurance on the outstanding balance of this statement if he
had chosen this option.
1.5 Interpret the amount for balance brought forward for this statement (2)
1.6 Give ONE possible reason why Mr Son might purchase goods using his credit card instead of
paying cash for the goods. (2)
2. Bongiwe received her levy statement of account from Rango Property Specialist for her rented
unit.
pg. 4
Western Cape Education Department
Directorate: Curriculum
2.1 Write down the reference number that Bongiwe must use when she pays her account. (2)
2.2 Give ONE reason why reference numbers are used when making payments (2)
2.3 Calculate the missing value A, which has been omitted from the statement. (2)
2.4 The total amount due for this invoice is R2 340, 73, including 15% VAT (2)
Calculate the total amount due, excluding VAT
2.5 Calculate (rounded to TWO decimal places) the standard levy for June 2021 as a percentage of (4)
the amount due on the statement.
2.6 Write down a possible payment option Rango Property Specialist will accept (2)
Revision Question on Tariffs:
1 The sanitation tariffs for Johannesburg and Cape Town are presented in TABLE 3.
Johannesburg uses the area of a property to determine the sanitation bill. Cape Town uses a
percentage of the total water usage to determine the sanitation bill (the same way as they calculate
the water bill.)
TABLE 1 shows the tariffs of Johannesburg (excluding VAT) and Cape Town (including VAT).
pg. 5
Western Cape Education Department
Directorate: Curriculum
1.2 Calculate the cost for 4,1 kℓ sanitation in Cape Town before the increase (4)
1.3 Mr Jones lives in Johannesburg and Ms Brown lives in Cape Town. They both own a property
with an area of 550 m2 and each was billed for 22 kℓ sanitation.
Use the table above to determine the difference in the cost of sanitation for the two properties. (8)
1.4 Explain how the tariff system used in Johannesburg is beneficial to home owners in terms of (2)
water usage
2 Mrs Venter has a prepaid electricity meter in her home. The municipality uses sliding scale tariffs
for prepaid electricity. The more electricity you purchase in a calendar month the higher the
subsequent tariff becomes.
TABLE 1 below shows the standard sliding scale tariffs per month for prepaid electricity.
TABLE 1: 2014/2015 Standard sliding scale tariffs per month for prepaid electricity
NUMBER OF UNITS TARIFF
(INCLUDING 15% VAT)
The first 500 kWh R1,0746 per unit
501 to 1 000 kWh R1,2208 per unit
1 001 to 2 000 kWh R1,3109 per unit
2 001 to 3 000 kWh R1,4809 per unit
More than 3 000 kWh R1,6048 per unit
[Source: citypower.co.za]
1 unit = 1 kWh
The following photographs of Mrs Venter's electricity meter show the meter readings (in kWh)
before and after her first purchase of electricity for the month of May.
02/05/15 02/05/15
Before purchase After purchase
pg. 6
Western Cape Education Department
Directorate: Curriculum
2.4 If the prepaid electricity tariffs are due to increase by 13,5% on 1 July 2015, calculate the new (3)
tariff per unit for units between 2 001 and 3 000 kWh.
pg. 7
Western Cape Education Department
Directorate: Curriculum
1. ANNEXURE A shows a summary of the Income and Expenditure statement with notes of the
South African National Blood Service (SANBS) for the financial year ended 3 1 March 2016.
Some of the amounts have been omitted.
pg. 8
Western Cape Education Department
Directorate: Curriculum
2. The TABLE below shows the national budget and education budget of South Africa for 2017/18
pg. 9
Western Cape Education Department
Directorate: Curriculum
pg. 10
Western Cape Education Department
Directorate: Curriculum
1 Due to the impact of no spectators at sport events the Aspen Sport Centre started looking at additional
sources of income. They decided to rent out their venue to the community as an additional source of
income. The Sport Centre decided that they will ask a fixed rate for the renting of the venue instead
of asking a rate per person attending.
TABLE 1 indicates the income and expenses of the Sport Centre when it is rented out to the
community.
TABLE 2 indicates the total monthly income and expenses of the Community Centre for several
functions held.
Use the tables and formula above and answer the following questions
1.1 Write down the total fixed income of the Sport Centre per month. (2)
1.2 Construct a formula to represent the total monthly income. (2)
1.3 Use TABLE 2 to draw the line graph of the total monthly income on the same set of axes on the (5)
attached ANSWER SHEET.
1.4 Use the graph to write down the break-even point. (2)
1.5 The Aspen Sport Centre claimed that they will make a maximum profit of R20 000 if they have 13 (6)
community functions per month in their centre.
pg. 11
Western Cape Education Department
Directorate: Curriculum
100 000
80 000
Amount (R)
60 000
40 000
20 000
0
0 2 4 6 8 10
Number of functions per month
pg. 12
Western Cape Education Department
Directorate: Curriculum
2 Calitzdorp High School decided to sell cell phone protectors with the school’s badge and the person’s
name on it. Some of the profit will be used to establish a new computer lab.
The production cost for these personalised cell phone protectors is given
by the following formula:
The personalised cell phone protectors will be sold for R90,00 per
protector.
TABLE 5 below shows the production cost and income for selling the cell
phone protectors in Rand.
Joey
Anthony
Grade 12
TABLE 5: Production cost and income for selling cell phone protectors (in Rand)
On the same set of axes provided on ANSWER SHEET 1, draw another line graph that represents the
production cost for manufacturing the cell phone protectors.
2.3 Write down the break-even point from the graph. (2)
pg. 13
Western Cape Education Department
Directorate: Curriculum
ANSWER SHEET 1
QUESTION 2.2
NAME OF LEARNER: ……………………………………………………………………
GRADE 12: ……
Cost and income of cellphone protectors
80000
70000
60000
50000
Amount in Rand
40000
30000
20000
10000
0
0 200 400 600 800
Number of cellphone covers
pg. 14
Western Cape Education Department
Directorate: Curriculum
pg. 15
Western Cape Education Department
Directorate: Curriculum
16 17 18 19 20 21
22 23 25 26 27 28
29 30 31
pg. 16
Western Cape Education Department
Directorate: Curriculum
Use TABLE 1 and the calendar above to answer the following questions
1.1 Determine the probability of randomly selecting a workday in October 2015 with a date that is an (3)
even number
1.2 Give ONE valid reason why a company will not necessarily use a bank offering the lowest bank (2)
charges.
1.3 Determine the missing value of A (rounded off to ONE decimal place) if the 2014 withdrawal fee (5)
was equal to:
(R3,50 + 1,1% of the withdrawal amount)
You may use the following formula:
2015 𝑓𝑒𝑒 𝑝𝑒𝑟 𝑅 1 000
𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑓𝑒𝑒𝑠 = ( − 1) × 100%
2014 𝑓𝑒𝑒 𝑝𝑒𝑟 𝑅 1 000
1.4 The company withdrew R 15 000 for the weekly wages every Friday. The financial officer (7)
stated that the company would have saved more than R90 in withdrawal fees if they had
used Bank Y rather than Bank X for the four withdrawals. Verify whether this statement is
valid
1.5 Calculate an employee's total monthly wage if he earned R2 142,85 per week in October (4)
2015. Assume that the employee was not absent and did not work overtime in this month.
2. Mapotjo contributes a regular monthly amount from her salary towards a retirement annuity. This amount
is deducted from her salary through a stop order on the 1 5 th day of each month.
2.4 Determine the total value of the contributions over five years if her monthly contribution remains (3)
the same.
2.5 Fill in the missing word(s) to make the following statement TRUE. (2)
pg. 17
Western Cape Education Department
Directorate: Curriculum
2.6 Show that if her monthly contribution increased by 8,5%, then the new monthly deduction from her salary (2)
would be R803, 14.
3 Josh saved R500,00 each month since earning his first profit.
TABLE 2 below shows the simple interest rates that would be earned over fixed time periods for
amounts ranging from R10 000,00 to R99 999,00.
3.1 Determine (in months) how long he took to save R17 000,00. (2)
3.2 Write down the interest rate he will get if he invests his money. (2)
3.3 Determine (rounded to the nearest R100) the amount of interest Josh will earn if he invests his (3)
accumulated savings for 3 years.
3.4 Sifiso wants to invest R24 000,00 for 48 months instead of 12 months (2)
Calculate the difference in percentage points for the interest rate.
3.5 Write down the minimum number of years and months a person must invest R25 000,00 to earn (3)
an interest rate of 8,41 %.
pg. 18
Western Cape Education Department
Directorate: Curriculum
Unit: Inflation:
What must you be able to do at the end of this unit?
Inflation:
Recognise that:
inflation is a measure of the change in the purchasing power of money over time
inflation represents the average increase in the prices of a variety of goods and services over
time and that different items can have different inflation rates
Investigate, through calculation and discussion, the impact of inflation on:
purchasing power
the value of an item over time
Compare the rates of increase/decrease in prices through calculation
Interpret and analyse graphs showing changes in the inflation rate over time and understand that
a decreasing graph does not necessarily indicate negative inflation
Evaluate situations involving proposed price increases
pg. 19
Western Cape Education Department
Directorate: Curriculum
1.
1.5 A cheddamelt steak was sold for R104,90 at a profit of 17,5%. Determine the cost price. (2)
pg. 20
Western Cape Education Department
Directorate: Curriculum
2 TABLE 1 below shows a list with the annual inflation rates for some countries.
Determine (in euros) the expected price of a standard cup of coffee in Switzerland during 2015, if
the inflation rate did not change.
2.2 The annual inflation rate for flat rental in Egypt remained unchanged for the past few years and is
identical to the 2014 annual inflation rate.
(a) Calculate the monthly rental during 2014 for a flat which had a monthly rental of 1654EGP (4)
(Egyptian pound) two years ago.
(b) Mr Lesufi owns similar flats in South Africa. During 2012 the monthly rental for these flats was (7)
R4 613,20 and during 2014 the monthly rental was R5 212,77.
Mr Lesufi claims that the percentage monthly rental increase is half the percentage rental increase
in Egypt over the same two years.
Unit: Taxation
What must you be able to do at the end of this unit?
VAT & UIF:
Develop an understanding of the difference between a “VAT inclusive” value and a value
“excluding VAT”.
Investigate through calculation how a final price has been determined by adding 15% VAT to a
price excluding VAT.
Investigate through calculation the amount of VAT that has been added to a “VAT inclusive”
price.
Develop an understanding of why UIF is deducted, the benefits to the employee and the
responsibility of the employer.
Investigate through calculation how UIF values are calculated as a percentage of gross income
pg. 21
Western Cape Education Department
Directorate: Curriculum
Income Tax:
Determine an individual’s:
• taxable income
• personal income tax
• net pay
Analyse, interpret and understand completed tax return forms issued by SARS as well as IRP5 forms
supplied by the employer.
Investigate the effect of an increase in salary on the amount of income tax payable.
TABLE 1 below is a tax table that shows how much personal income tax he needs to pay.
2 188 001-293 600 33 840 + 26% of taxable income above 188 000
3 293 601-406 400 61 296 + 31% of taxable income above 293 600
4 406 401-550 100 96 264 + 36% of taxable income above 406 400
5 550 101-701 300 147 996 + 39% of taxable income above 550 100
6 701 301 and above 206 964 + 41% of taxable income above 701 300
Adapted from www.SARS.gov.za
pg. 22
Western Cape Education Department
Directorate: Curriculum
2. ANNEXURE C shows the tax rates for individuals for the 2018/2019 tax year. John (68 years
old) received a taxable income of R2 045 364 for the 2018/2019 tax year. He paid a monthly
contribution towards a medical scheme for himself and his wife.
Use the information above and ANNEXURE C to answer the questions that follow.
2.1 Calculate John's total medical scheme tax rebate for the year. (3)
2.2 Hence, calculate the amount of income tax he had to pay for the 2018/2019 tax year. (8)
pg. 23
Western Cape Education Department
Directorate: Curriculum
3. Mr Louw, aged 53, earned an annual taxable income of R495 602 for the year ending 28 February
2022. He does not contribute to any medical aid.
Use this formula to calculate Mr Louw's annual tax payable before the rebate (3)
3.2 Mr Louw feels that the monthly tax table is an easier option for him to calculate his monthly tax
payable TABLE 5 below shows the monthly deductions for three income categories for the year
ending 28 February 2022.
The monthly rebate for a person younger than 65 years old is RI 368, 75.
Verify, showing ALL calculations, whether his monthly tax will be correct according to the (6)
monthly deduction table.
pg. 24
Western Cape Education Department
Directorate: Curriculum
1.1 Calculate, in rand, Megan's annual gross salary using the following exchange rates: (4)
Euro 1 15,64 South African Rand
Euro 1 7,47 Danish Kroner
1.2 John stated that Megan's total annual deductions (excluding tax) are more than 52% of her annual
gross salary.
pg. 25
Western Cape Education Department
Directorate: Curriculum
2 Anelle’s brother Tony, who lives in the United States of America, decided to send her money to
buy the vegetable slicer using Option 1.
TABLE 1 below shows the exchange rate of South Africa in relation to the currencies of other
countries.
TABLE 1: EXCHANGE RATES TABLE ON 6 FEBRUARY 2020
Use the information and TABLE 1 above to answer the questions that follow.
2.1 Explain what the term exchange rate means. (2)
2.2 Identify the currence that is weaker than the rand. (2)
2.3 Tony sent Anelle US$130,00. (3)
Determine, rounded to the nearest rand, the amount Anelle received from Toney.
pg. 26