Mathematical Literacy Grade 12 Term 1 2023, 2022, Investigation and Memorandum Investigations in mathematical literacy offer students the opportunity to apply mathematical concepts to real-world scenarios, fostering critical thinking and problem-solving skills. These tasks often require students to analyze data, make predictions, and draw conclusions, mirroring the practical applications of mathematics in various fields.
Mathematical Literacy Grade 12 Investigation 2023 and Memorandum
Mathematical Literacy Grade 12 Investigation 2022 and Memorandum
Mathematical Literacy Grade 12 Investigation 2022 Questions:
Martin approached a vehicle finance company after deciding on a car priced at R 285 000. The company initially offered him 72 months to make repayments of R 5 439,36 per month.
The graph on ANNEXURE A represents the total repayments of the 72 months. Study the graph and answer the questions that follow.
QUESTIONS
- Why does the graph start at 0 months and R 0,00? (2)
- Would you advice the option to start repaying one month after receiving the car? Explain your answer. (2)
- How much money will Martin repay after:
- one month (2)
- 10 months (2)
- 36 months? (2)
- Determine a formula to represent the relationship depicted in the graph. (2)
- How much money will Martin have paid after 72 months? (2)
ALTERNATIVE OPTION
The company also introduced an alternative option. With this option Martin will have to pay a deposit of 30,6% of the selling price of the car. Monthly repayments will be R 3 457,10.
- Calculate the deposit amount. (2)
- Determine the amount of money Martin will pay more if he chooses the
original option rather than the alternative option. (2)
- Complete the table shown below for alternative option on ANNEXURE B.
| Number of Months | 0 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 |
| Total Amount Repaid (R) | 142 523,60 | 225 494,00 | 308 464,40 |
(4)
- Determine a formula to represent the relationship for the alternative option depicted in the table. (3)
- Draw a graph on ANNEXURE A to represent the alternative method.
Indicate the break-even point. (6)
- Describe what a break-even point entails. (2)
- Write down the approximate break-even point from ANNEXURE A. (4)
- Identify the option (original or alternative) which is the cheapest after:
13.1 24 months (2)
13.2 40 months (2)
13.3 64 months. (2)
- Determine the total amount of interest Martin would pay with the:
14.1 original option (2)
14.2 alternative option. (2)
CONCLUSION
- Formulate your own conclusion regarding the original and alternative option.
What would you advice Martin to do?
Can your argument be applied to the financing of items other than cars? (3)
TOTAL: 50
