Grade 11 Technical Mathematics September Paper and Memo:
Total: 75 Marks.
Topics covered in this paper:
Financial Mathematics
Circle Geometry
Trigonometry
This is a practice paper with memorandum meant to test the student's knowledge, and will not be the same paper written for the exa...
Datum / Date: SEPTEMBER 2024
Tyd / Time: 1 hour 30 minutes
Punte / Marks: 75
Graad / Grade: 11
Vak / Subject: Technical Mathematics
Vraestel / 1
Paper:
Naam en Van / Name and
Surname:
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4. Write neatly and legibly.
If you struggle too much with a question, move on to the next one and return
5
once you have answered all the other questions.
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10.
the correct answer instead.
Number the answers correctly according to the numbering system used in this
11.
question paper.
12. Present your answers according to the instructions for each question.
Good luck with your exam!
Topics covered in this paper:
Financial Mathematics
Circle Geometry
Trigonometry
1.1 Rene invested with FinBank to save up for her wedding day. She
decided to invest the money for 10 years. She receives an
interest rate of 11% p.a. compounded monthly for the first 6
years. The interest rate changes to 13% p.a. compounded
quarterly for the remaining 4 years of the term. The money
grows to R300 000 at the end of the investment period.
1.1.1 Calculate the effective interest rate p.a. during the first 6
years. (3)
1.1.2 Determine the initial amount of money Sima invested.
(4)
1.2 Dalene buys a new stove for the catering business. The cost of the
machine is R5 600 on a hire-purchase, she pays equal monthly
payments over 3 years for the stove.
The interest rate charged is 11, 5% per annum.
She also takes out an insurance premium of R12 per month, to
cover the cost of damage or theft.
Determine:
1.2.1 The actual amount she paid for the oven.
(3)
1.2.2 The amount she paid each month.
(3)
1.3 A piece of equipment valued at R200 000 depreciates, on a reducing
balance, to a quarter of its original price after 5 years.
Determine the rate at which the piece of equipment depreciated.
(4)
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