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:
General instructions for the writing of exams:
1. Quickly scan through your entire paper.
2. Read the question twice before you begin.
3. Make sure to answer ALL questions.
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.
6. If the question calls for a longer answer, plan before you start writing.
7. For any answer longer than 1-2 words, always write in full sentences.
8. Make sure every point you make refers to the central question.
9. Use correct grammar, spelling, and punctuation to the best of your ability.
If you make a mistake, cross it out clearly with a single, neat line and write
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
Bl / Pg 1/4 www.summariessa.co.za Opsteller /
CHR SMI
Author:
Graad / Vak / Datum / Date:
11 TECH MATH SEPT 2024
Grade: Subject:
, QUESTION 1: FINANCIAL MATHEMATICS
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)
[17]
Bl / Pg 2/4 www.summariessa.co.za Opsteller /
CHR SMI
Author:
Graad / Vak / Datum / Date:
11 TECH MATH SEPT 2024
Grade: Subject:
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:
General instructions for the writing of exams:
1. Quickly scan through your entire paper.
2. Read the question twice before you begin.
3. Make sure to answer ALL questions.
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.
6. If the question calls for a longer answer, plan before you start writing.
7. For any answer longer than 1-2 words, always write in full sentences.
8. Make sure every point you make refers to the central question.
9. Use correct grammar, spelling, and punctuation to the best of your ability.
If you make a mistake, cross it out clearly with a single, neat line and write
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
Bl / Pg 1/4 www.summariessa.co.za Opsteller /
CHR SMI
Author:
Graad / Vak / Datum / Date:
11 TECH MATH SEPT 2024
Grade: Subject:
, QUESTION 1: FINANCIAL MATHEMATICS
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)
[17]
Bl / Pg 2/4 www.summariessa.co.za Opsteller /
CHR SMI
Author:
Graad / Vak / Datum / Date:
11 TECH MATH SEPT 2024
Grade: Subject:
