Free Printable mathematical Modeling

Worksheets

mathematical Modeling

Total questions: 15

Worksheet time: 17mins

Name

Class

Date

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

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

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

340

320

300

280

Joanne wants to go to a shopping mall for leisure. However, she does not have transportation like car that can send her to go to the shopping mall from her house. Thus, she wants to get a taxi service that will charge RM14.00 for a journey of 7 km. Before Joanne booking the taxi service from a taxi driver, she receives a phone call from her friend who wishes to meet her in a library to discuss school assignments. The distance between Joanne’s house and the library is 15 km. She wants to book the taxi service from the same taxi driver to move from her house to the library. How much is the taxi fare charged by the taxi driver when sending Joanne from her house until arriving at the library?

Which of the following is the process of making assumptions and identifying the variables?

Determine taxi fare charged by the taxi driver while he sends Joanne from the house until arriving at the library.

Assume that the taxi fare charged for a journey of 1 km is the same. Let x represents the distance of journey and y represents the taxi fare charged by the taxi driver.

The model of linear function y = 2x obtained may not be used for every kilometer travelled.

Substitute y = 14 and x = 7 into y = kx.

The diagram shows the data collected for the profit(RM) versus sales for a retail shop.

Which of the following is the most appropriate model used to represent the above data?

Linear model

Quadratic model

Cubic model

Exponential model

What is the possible function for this model?

$y=ax^2+bx+c$

$y=ax+b$

$y=e^x$

$y=\frac{a}{x}$

What is the possible function for this model?

$y=ax^2+bx+c$

$y=mx+c$

$y=a^x$

$y=\frac{a}{x}$

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.

10.

Which of the following components can be achieved through mathematical modeling?

I Refining the mathematical modeling

II Making estimation and identifying hypothesis

III Identifying and defining the problem

IV Report the findings

I, II, III

I, II, IV

I, III, IV

II, III, IV

11.

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

mathematical function

mathematical modeling

derivative function

abstraction

12.

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.

13.

It is given that the temperature of town A is –5 °C in July. The temperature decreases for –2 °C per month for 6 consecutive months. What is the temperature of town A in October?

-7

-9

-11

-13

14.

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.

15.