Alex deposited R120 000 into a savings account


Question 3: A savings account is opened with an amount of R45 000 and three years later R23 000 is withdrawn. Six years after the account is opened, R11 000 wa…
Read more »

Agreement to pay deposit of 20%


Question 1: A student buys a TV set of R11 000 on a hire purchase agreement. He agrees to pay a deposit of 20% and the balance over a period of two years in mo…
Read more »

Peter wins lotto


7.1 The estimated inflation rate is an average of 3% p.a. How much will R800 000 today be worth 10 years from now? (2) 7.2 Peter saw an advert of a house worth…
Read more »

Business set up a sinking fund


A business installs a server for R500 000. The value of the server depreciates at 20% per annum according to the diminishing-balance method. 5.1 Calculate the …
Read more »

Bank loan of R600 000


QUESTION 3 Jake takes out a bank loan of R600 000 to pay for his new car. He repays the loan with monthly instalments of R9 000, starting one month after the g…
Read more »

Inflation rate remains constant


2.1 Samuel invested an amount with ABC bank at an interest 12% p.a. compounded His investment grew to R8450 at the end of 10 years. Determine the amount that S…
Read more »

Full loan monthly repayments


1.1 Determine the nominal interest rate if the investment received r% p.a. compounded monthly whereas effectively it receives 8,3% per annum. (3) 1.2 Mpho take…
Read more »

Photocopy machine depreciates at 12% per annum compounded half-yearly


Jason invests R900 each month at 12% p.a. compounded monthly starting on the 1st January 2013, ending on 1st January 2020. How much will he receive immediately…
Read more »

Video Summaries of full lessons


Some videos have a ‘PAUSE’ moment, at which point the teacher or learner can choose to pause the video and try to answer the question posed or calculate the an…
Read more »

Financial mathematics teaching Approach


Finance forms an integral part of the Mathematics syllabus. Financial mathematics has one of the widest applications in everyday life and is important in every…
Read more »

Loans and loan repayments using the future-value formula


With hire purchase loans where the interest is calculated at the start of the loan as simple interest based on the full amount of the loan over the repayment p…
Read more »

Savings account that bears 15% simple interest per annum


1. Lehlohonolo opens a savings account that bears 15% simple interest per annum. If he deposits R 5 700 how much money will he have after 11 years and 7months?…
Read more »

Requesting financial advise at NBC Bank


1. A couple takes out a loan from the bank in order to pay for their wedding. They pay the bank R 3 560 every month for 3 years. The bank charges them 9,5% p.a…
Read more »

Your mom decides to buy you a car of R146 000.00


1. A newspaper company buys a printing press for R 179 800 in 2003. They decide that the printing press should be replaced in 7 years- time. a) If the machine …
Read more »

Formula for simple interest


A is the final value of the money invested or borrowed, or the total Accumulated value, i.e. the interest accrued. P is the principal or initial amount investe…
Read more »

Effective interest rate of 14% per annum


1. After moving to a new house, you buy a number of household items for a total of R34 300. You are able to finance the purchase of these goods under the follo…
Read more »

Peter takes a loan of R510 000.00


1. Peter takes out a loan of R510 000 to be able to buy a house. He pays back the loan over a period of 20 years, starting one month after he bought the house.…
Read more »

Naledi open savings account


1. From Study and Master Grade 12 Naledi opens a savings account, in which she plans to deposit R500 per month for a year. If interest is paid at 12% per annum…
Read more »

Motor car bought at R200 000.00


1. R100 000 invested at 12% p.a., compounded monthly, grows to R181 669,67. For how long was the money invested? 2. From Step Ahead Mathematics Grade 12 A long…
Read more »

Diagnostic test on grade 10 and 11 curriculum


1. From Focus on Mathematics Grade 11 In 2003, it was estimated that 4,7 million South Africans were infected with HIV. It was estimated that the number of HIV…
Read more »

2014 Feb-March Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


Susan buys a car for R350 000. She secures a loan at an interest rate of 7% p.a., compounded monthly. The monthly instalment is R6 300. She pays the first inst…
Read more »

2013 Feb-March Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


Raeesa invests R4 million into an account earning interest of 6% per annum, compounded annually. How much will her investment be worth at the end of 3 years? J…
Read more »

2012 November Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


A business buys a machine that costs R120 000. The value of the machine depreciates at 9% per annum according to the diminishing-balance method. Determine the …
Read more »

2012 Feb-March Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


Lerato wants to purchase a house that costs R850 000. She is required to pay a 12% deposit and she will borrow the balance from a bank. Calculate the amount th…
Read more »

2011 November Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


How many years will it take for an article to depreciate to half its value according to the reducing-balance method at 7% per annum?  Two friends each receive …
Read more »

2011 Feb-March Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


R1 430,77 was invested in a fund paying i% p.a. compounded monthly. After 18 months the fund had a value of R1 711,41. Calculate i.  A father decided to buy a …
Read more »

2009 November Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


A photocopier valued at R24 000 depreciates at a rate of 18% p.a. on the reducing-balance method. After how many years will its value be R15 000?  A car that c…
Read more »

2008 November Mathematics P1 | Grade 12 | Financial Maths related statements & questions.


R1 570 is invested at 12% p.a. compound interest. After how many years will the investment be worth R23 000?  A farmer has just bought a new tractor for R800 0…
Read more »

Rich countries of the world


The prohibition of travel is not informed by science, nor will it be effective in preventing the spread of this variant. The only thing the prohibition on trav…
Read more »

Disaster management act


We will closely monitor infection rates and hospitalisation over the coming days and will review the situation in another week. We will then need to determine …
Read more »

Mass gatherings such as conferences


Mass gatherings such as major conferences and meetings, especially those that require a large number of people to be in close contact over extended periods, sh…
Read more »

Health workers in hospitals


Health care workers in the Sisonke trial, many of whom who were vaccinated more than six months ago, are being offered Johnson & Johnson booster doses. Pfi…
Read more »

Adult population in South Africa


Since we launched our public vaccination programme in May 2021, over 25 million vaccines doses have been administered in South Africa. This is a remarkable ach…
Read more »

Sudden rise of infections


There are still a number of things about the variant that we do not know, and that scientists in South Africa and elsewhere in the world are still hard at work…
Read more »

Scientist identified new variant


Fellow South Africans, Earlier this week, our scientists identified a new variant of the coronavirus that causes the COVID-19 disease. The World Health Organiz…
Read more »

Frictional force


I'm sure some of you have calculated and you're done already so it's nineteen eight two hundred minus fifteen six hundred and eighty you get three …
Read more »

Gravitational force


Okay let me just write here a in a black marking panel just to raise the the what i'm what i'm about to write now so ladies and gentlemen because we kn…
Read more »

Result of tension in the string or rope


Which is moving horizontally in that direction okay so a let's actually say these are two cars and the other one is towing a one car and there's that a…
Read more »

Working with speed being constant


You won't need to worry about what's your final velocity what's your initial velocity you know you've got half into we know mass is 18 then v f…
Read more »

Relevant work, energy and power formula


You just choose the relevant formula okay so ladies and gentlemen let's now uh write our formula which is the work net remember they said use the work ener…
Read more »

Work energy theorem


Okay i hope you're able to see ladies and gentlemen so very very much important guys they want you to use the work energy theorem okay so do not use anythi…
Read more »

Introducing kinetic energy


Okay so ladies and gentlemen it's very much important that you indicate that the work done on an object you cannot just say the work done is equals to the …
Read more »

Constant upward speed


Okay so guys can i just add there to say that cable it's moving at a constant speed of four meters per second okay ladies and gentlemen just to give you a …
Read more »

Work, energy and power explained in detail


Hello guys my name is Desmond and i welcome you to my youtube channel ladies and gentlemen uh as you can see today we'll be looking at physical sciences pa…
Read more »