Mathematical Modeling

Which of the following statements is not related to the processes involved in mathematical modeling?

• Identifying and defining the problems

• Making assumptions and identifying the variables

• Solving problems by guessing

• Verifying and interpreting solutions in the context of the problem

What is the last step in mathematical modeling?

• Reporting findings

• Refining the mathematical model

• Applying mathematics to solve problems

• Verifying and interpreting solutions in the context of the problem

Which of the following is not a component in mathematical modeling?

• Constructing and identifying the problems

• Making assumptions and identifying the variables

• Applying mathematics to solve problems

• Reporting the findings

A train moves from town A to town B for a distance of 200 km within 1 hour and 30 minutes. If the train takes 40 minutes to move from town B to town C, what is the distance between town B and town C?

Based on the problem above, what assumption should be made in the mathematical modeling?

• The operating cost of the train is fixed.

• The type of fuel used by the train is fixed.

• The speed of the train is fixed.

• The driver of the train is the same person.

A ___________ is a representation involving real world problem into mathematical problem.

• mathematical function

• mathematical modeling

• derivative function

• abstraction

The diagram above shows part of the mathematical modeling. Process P is

• A. reporting the findings

• B. verifying and interpreting solutions in the context of the problem

• C. making assumptions and identifying the variables

• D. refining the mathematical model

What is the assumption needed to be made for the problem above?

• The price of the smartphone increases when Shuhada has raised RM1500

• The interest rate does not change throughout the period of saving

• Shuhada withdraws money after a month

• Shuhada adds RM500 to her savings

State the variable in the problem.

• Person who makes the fixed deposit.

• Number of years to save the money in the fixed deposit account.

• Location of bank.

• The date that Rafidah starts to deposit the money in the fixed deposit account.

Which of the following is a step to refine a mathematical model?

• Check the answers from the solution obtained.

• Determine the variables used in the mathematical model.

• Determine whether the assumptions made are true or false.

• Replace with a new mathematical model if the model applied is not appropriate.

"The length and width of a room is 6 m and 5 m respectively. A worker wants to cover the room with square tiles with a side length of 30 cm. How many tiles does he need? "

What is the assumption need to be made for the above problem ?

• A. There are damaged tiles while installing tiles on the floor.

• B. No tiles are damaged while installing tiles on the floor.

• C. The room was fitted with a few pieces of tiles.

• D. The room needs to be pained first.