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Mathematical Literacy 2
                   Module 2


              Answers to Assessment Questions




Mathematical Literacy      Future Managers      1
Self Assessment Pg 56
1.      Francois, who lives on his own in a rented room, wrote down
        in a note book the following amounts that passed through his
        hands during the month of August:
        Food bought at the local grocer each weekend to the total of R800,00 for
        the whole month; room rental of R750,00 paid; clothes bought to the value
        of R500,00; cell phone air time of R220,00; daily taxi fair to and from work
        at R7,00 per day; other occasional travelling expenses R50,00; lunches
        every working day costs him R25,00; he buys four R5,00 lotto tickets each
        Saturday; he goes to the pub every Saturday and drinks two quarts of beer,
        which he buys at R7,00 per quart; he smokes 20 cigarettes per day but has
        not calculated what this costs him; he receives a salary of R4000,00 per
        month from which 1% UIF is deducted. Tax is subtracted every month at
        the rate of 18%.




     Mathematical Literacy           Future Managers                   2
a.   Organise Francois’s money matters for him neatly into a table
     separating Income and Expenses
 Monthly Income:                                      Amount     Fixed       Variable
        Salary                                        4000,00    √
        Subtraction (UIF at 1%; Tax: 18%)             760,00     √
        Net Income                                    3240,00
 Monthly Expenses:
        Food                                           800,00                √
        Room rental                                    750,00    √
      Clothes                                          500,00                √
        Cell phone                                     220,00                √
        Travel costs                                   190,00    √           √
        Lunches                                        500,00    √
        Lotto                                            80,00               √
        Beer                                             56,00               √
        Cigarettes                                     476,00                √
 Total Expenses:                                      3572,00
 Income after Expenses:                                -332,00
       Mathematical Literacy                Future Managers              3
•    Calculate his net income i.e. after deductions.
    Francois earns R4000 per month. He pays
    18% tax and 1% UIF. Tax = R4000 x 0.18 =
    R720; UIF = R40
    Total deductions = R760
  Net income = R3 240
• Calculate the amount he has left after all his
   expenses have been subtracted from his net
   income.

Income after expenses = R3240 - R3572 = - R388
    Mathematical Literacy   Future Managers   4
a.      Advise him on actions to take with regard to a safe
        financial future. For example, advise him on how to
        save and why he should save.

     Francois should think about the fact that he is smoking
     to the value of R5712 per year. His annual cell phone
     costs are also high at R2640.
     Lotto for the year comes to almost R1000. These three
     items add up to the value of two months’ salaries. He
     should contemplate whether it would not be better for
     him in the long run to save this money as there will
     come a time when he will have medical expenses as well
     as other responsibilities.
     Mathematical Literacy   Future Managers        5
1.      Rosie is a single mother of one child, whose name is Lily.
        Rosie and Lily live in a rented flat. She has the following
        expenses per month
      Expense Item                Fixed or Var         Amount      % of Income
      Rental amount of room           x                650
      Crèche fees for Lily            x                350
      Food                                         x   950
      Taxi fare                                    x   300
      Telephone                                    x   180
      Entertainment                                x   100
      Money saved                                  x   250
      Clothes                                      x   150
      Lotto                                        x   80
      Cigarettes                                   x   100
      Total                                            (a) R3110
     Mathematical Literacy       Future Managers                    6
•      She earns R800 per week (four times per
       month), and receives maintenance money of
       R150 each month from Lily’s father. Calculate
       her monthly income

    Rosie’s Income = Salary + Maintenance
                            = R800 x 4 +R150
                            = R3 350



    Mathematical Literacy     Future Managers   7
Expense Item                 Fixed or Var           Amount      % of Income
Rental amount of room        x                      650         19,4
Crèche fees for Lily         x                      350         10,4
Food                               x                950         28,4
Taxi fare                          x                300         9,0
Telephone                          x                180         5,4
Entertainment                      x                100         3,0
Money saved                        x                250         7,5
Clothes                            x                150         4,5
Lotto                              x                80          2,4
Cigarettes                         x                100         3,0
Total                                               (a) R3110
     Mathematical Literacy        Future Managers                  8
Rosie's Expenditure

                                                 Cigarettes
                                      Lotto
                                                    3%
                                       3%
                                Clothes                         Rental
                                  5%                             21%
              Money saved
                  8%
           Entertainment
                3%
                        Phone
                         6%                                              Creche
                                                                          11%

                           Taxi
                           10%



                                                        Food
                                                        30%



Mathematical Literacy                         Future Managers                     9
`
 •      Calculate how much money Rosie has left after
        deducting all her expenses for the month.
Money remaining = Total income – Total expenditure
               = R3 350 – R3 110
                   = R240
 •      What would you advise Rosie to do with any
        remaining money?

     Rosie should put any extra money in a savings
     account as she has not budgeted for clothes,
     medical expense and any other possible
     unforeseen expenses.
     Mathematical Literacy   Future Managers   10
Self Assessment Pg 61
From the income statement of Francois’s parents. a budget can be
compiled given their expected fixed income of R7 550 per month
    Expense                  Budget   % Expense April Exp            Variance   Var %
    Rent                     2050     27,15               2050        0          0
    Insurance                400      5,29                400         0          0
    W+E                      265      3,51                300         +35        +13,2%
    Phone                    480      6,3                 500         +20        +4,2%
    Transport                300      3,97                350         +50        +16,7%
    School                   265      3,5                 265         0          0
    Clothes                  250      3,3                 100         -150       -60%
    Medical                  146      1,93                200         +54        +37%
    Food                     2850     37,72               3500        +650       +52,6
    Savings                  250      3,3                200          -50        -20%
    Entertain                300      3,97               (c)R0        -300       -100%
    Total                (a) R7556    100                (b) R7865
     Mathematical Literacy                    Future Managers                   11
Summative Assessment
  TV Licences                                        Private Bag x 60


 Mr. Benni Mokoena                                   Auckland Park 2006
                                                     License renewal period:
 Walter Sisulu Drive
                                                     2008/08/01-2009/07/31
 Boshabelo
 Bloemfontein
                                                     Closing balance: 25,80

 Date:                      Particulars:              Amount:             225,00
 2007/07/20                 Private Household         Balance due:        250,80

120+ days 90 days          60 days         30 days     Current     Balance
25,80                                                  225,80      250,80


   Mathematical Literacy          Future Managers                    12
Summative Assessment
On the previous slide is Benni Mokoena’s TV license that
    he had to buy when he bought his TV.
2. Answer the questions below
3. Complete a direct deposit slip from a bank to clear the
    account
Questions:
5. What does “closing balance” mean?

  The balance at the end of the period
8. What does “120 days or more” mean?


   It means debt that is over 120 days old
  Mathematical Literacy   Future Managers       13
•     What is the total amount you have to pay?
    It means debt that is over 120 days old

•      What is the due date of payment?
      20 July 2007




    Mathematical Literacy   Future Managers   14
a. In fine print beneath the account is typed: A
   fine of 10% per month is levied on late
   payments. How much will your balance be if
   you are one month late?

  R25,08

d. What type of expense is a TV license – fixed
   or variable?

  Fixed

  Mathematical Literacy   Future Managers   15
1. From Wonder Bank’s table of banking costs –
    Calculate the following:
   a. Withdrawal over the counter of R250
     R17,50 + 250 x 0.009=R19.75
   c. ATM Cash withdrawal of R1 050 at a
      SASWITCH terminal
    R12,65???
  e. Monthly administration fee
    R2,00???
  g. ATM cash withdrawal of R850 at own
     bank’s ATM
        R3,10 + R350 x 0.009 = R6,25
  Mathematical Literacy   Future Managers   16
08 05        23



            B Mokoena                                       250        80




                                                            250        80


                        Benni Mokoena
   B Mokoena




Mathematical Literacy                     Future Managers         17

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NCV 2 Mathematical Literacy Hands-On Training Solution to Summative Assessment 2

  • 1. Mathematical Literacy 2 Module 2 Answers to Assessment Questions Mathematical Literacy Future Managers 1
  • 2. Self Assessment Pg 56 1. Francois, who lives on his own in a rented room, wrote down in a note book the following amounts that passed through his hands during the month of August: Food bought at the local grocer each weekend to the total of R800,00 for the whole month; room rental of R750,00 paid; clothes bought to the value of R500,00; cell phone air time of R220,00; daily taxi fair to and from work at R7,00 per day; other occasional travelling expenses R50,00; lunches every working day costs him R25,00; he buys four R5,00 lotto tickets each Saturday; he goes to the pub every Saturday and drinks two quarts of beer, which he buys at R7,00 per quart; he smokes 20 cigarettes per day but has not calculated what this costs him; he receives a salary of R4000,00 per month from which 1% UIF is deducted. Tax is subtracted every month at the rate of 18%. Mathematical Literacy Future Managers 2
  • 3. a. Organise Francois’s money matters for him neatly into a table separating Income and Expenses Monthly Income: Amount Fixed Variable Salary 4000,00 √ Subtraction (UIF at 1%; Tax: 18%) 760,00 √ Net Income 3240,00 Monthly Expenses: Food 800,00 √ Room rental 750,00 √ Clothes 500,00 √ Cell phone 220,00 √ Travel costs 190,00 √ √ Lunches 500,00 √ Lotto 80,00 √ Beer 56,00 √ Cigarettes 476,00 √ Total Expenses: 3572,00 Income after Expenses: -332,00 Mathematical Literacy Future Managers 3
  • 4. Calculate his net income i.e. after deductions. Francois earns R4000 per month. He pays 18% tax and 1% UIF. Tax = R4000 x 0.18 = R720; UIF = R40 Total deductions = R760 Net income = R3 240 • Calculate the amount he has left after all his expenses have been subtracted from his net income. Income after expenses = R3240 - R3572 = - R388 Mathematical Literacy Future Managers 4
  • 5. a. Advise him on actions to take with regard to a safe financial future. For example, advise him on how to save and why he should save. Francois should think about the fact that he is smoking to the value of R5712 per year. His annual cell phone costs are also high at R2640. Lotto for the year comes to almost R1000. These three items add up to the value of two months’ salaries. He should contemplate whether it would not be better for him in the long run to save this money as there will come a time when he will have medical expenses as well as other responsibilities. Mathematical Literacy Future Managers 5
  • 6. 1. Rosie is a single mother of one child, whose name is Lily. Rosie and Lily live in a rented flat. She has the following expenses per month Expense Item Fixed or Var Amount % of Income Rental amount of room x 650 Crèche fees for Lily x 350 Food x 950 Taxi fare x 300 Telephone x 180 Entertainment x 100 Money saved x 250 Clothes x 150 Lotto x 80 Cigarettes x 100 Total (a) R3110 Mathematical Literacy Future Managers 6
  • 7. She earns R800 per week (four times per month), and receives maintenance money of R150 each month from Lily’s father. Calculate her monthly income Rosie’s Income = Salary + Maintenance = R800 x 4 +R150 = R3 350 Mathematical Literacy Future Managers 7
  • 8. Expense Item Fixed or Var Amount % of Income Rental amount of room x 650 19,4 Crèche fees for Lily x 350 10,4 Food x 950 28,4 Taxi fare x 300 9,0 Telephone x 180 5,4 Entertainment x 100 3,0 Money saved x 250 7,5 Clothes x 150 4,5 Lotto x 80 2,4 Cigarettes x 100 3,0 Total (a) R3110 Mathematical Literacy Future Managers 8
  • 9. Rosie's Expenditure Cigarettes Lotto 3% 3% Clothes Rental 5% 21% Money saved 8% Entertainment 3% Phone 6% Creche 11% Taxi 10% Food 30% Mathematical Literacy Future Managers 9
  • 10. ` • Calculate how much money Rosie has left after deducting all her expenses for the month. Money remaining = Total income – Total expenditure = R3 350 – R3 110 = R240 • What would you advise Rosie to do with any remaining money? Rosie should put any extra money in a savings account as she has not budgeted for clothes, medical expense and any other possible unforeseen expenses. Mathematical Literacy Future Managers 10
  • 11. Self Assessment Pg 61 From the income statement of Francois’s parents. a budget can be compiled given their expected fixed income of R7 550 per month Expense Budget % Expense April Exp Variance Var % Rent 2050 27,15 2050 0 0 Insurance 400 5,29 400 0 0 W+E 265 3,51 300 +35 +13,2% Phone 480 6,3 500 +20 +4,2% Transport 300 3,97 350 +50 +16,7% School 265 3,5 265 0 0 Clothes 250 3,3 100 -150 -60% Medical 146 1,93 200 +54 +37% Food 2850 37,72 3500 +650 +52,6 Savings 250 3,3 200 -50 -20% Entertain 300 3,97 (c)R0 -300 -100% Total (a) R7556 100 (b) R7865 Mathematical Literacy Future Managers 11
  • 12. Summative Assessment TV Licences Private Bag x 60 Mr. Benni Mokoena Auckland Park 2006 License renewal period: Walter Sisulu Drive 2008/08/01-2009/07/31 Boshabelo Bloemfontein Closing balance: 25,80 Date: Particulars: Amount: 225,00 2007/07/20 Private Household Balance due: 250,80 120+ days 90 days 60 days 30 days Current Balance 25,80 225,80 250,80 Mathematical Literacy Future Managers 12
  • 13. Summative Assessment On the previous slide is Benni Mokoena’s TV license that he had to buy when he bought his TV. 2. Answer the questions below 3. Complete a direct deposit slip from a bank to clear the account Questions: 5. What does “closing balance” mean? The balance at the end of the period 8. What does “120 days or more” mean? It means debt that is over 120 days old Mathematical Literacy Future Managers 13
  • 14. What is the total amount you have to pay? It means debt that is over 120 days old • What is the due date of payment? 20 July 2007 Mathematical Literacy Future Managers 14
  • 15. a. In fine print beneath the account is typed: A fine of 10% per month is levied on late payments. How much will your balance be if you are one month late? R25,08 d. What type of expense is a TV license – fixed or variable? Fixed Mathematical Literacy Future Managers 15
  • 16. 1. From Wonder Bank’s table of banking costs – Calculate the following: a. Withdrawal over the counter of R250 R17,50 + 250 x 0.009=R19.75 c. ATM Cash withdrawal of R1 050 at a SASWITCH terminal R12,65??? e. Monthly administration fee R2,00??? g. ATM cash withdrawal of R850 at own bank’s ATM R3,10 + R350 x 0.009 = R6,25 Mathematical Literacy Future Managers 16
  • 17. 08 05 23 B Mokoena 250 80 250 80 Benni Mokoena B Mokoena Mathematical Literacy Future Managers 17