G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s ( 3 0 S ) Final Practice Exam

Transcription

1 G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s ( 3 0 S ) Final Practice Exam

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3 G r a d e 1 1 E s s e n t i a l M a t h e m a t i c s Final Practice Examination Name: Student Number: For Marker s Use Only Date: Attending q Non-Attending q Final Mark: /100 = % Phone Number: Comments: Address: Instructions The final examination is based on Modules 4 to 7 of the Grade 11 Essential Mathematics course. It is worth 12.5% of your final mark in this course. Time You will have a maximum of 2.5 hours to complete the final examination. Format The format of the examination will be as follows: Part A: Multiple Choice Part B: Definitions Part C: Long Answer Total 10 marks 10 marks 80 marks 100 marks (see over) Final Practice Exam 3 of 31

4 Instructions (continued) Resources Provided n two blank monthly budget forms are included at the end of the exam Resources Required (Not Provided) To complete this examination, you will need: n pens/pencils (2 or 3 or each) n blank paper n scientific or graphing calculator n geometry set (including a ruler, a protractor, and a compass) n Final Exam Resource Sheet (The Final Exam Resource Sheet must be handed in with the exam.) Resources Optional n pencil crayons for section related to Module 7: Design Modelling Notes For Part C n show all calculations and formulas n include units where appropriate n clearly state your final answer n diagrams may not be drawn to scale 4 of 31 Grade 11 Essential Mathematics

5 Name: Part A: Multiple Choice (10 x 1 = 10 marks) Circle the letter of the best answer for each question. 1. Select the account that would be appropriate for Janelle. Janelle has her first part-time job and needs to open a bank account for her money. At the moment, she is not concerned with setting any money aside for later. She just wants to have access to it for her usual spending. a) Savings account b) Chequing account c) Electronic savings account d) Combined chequing and savings account 2. Calculate the slope of a line if it goes up from 3 to 8 as you move 4 units to the right. a) b) c) d) Final Practice Exam 5 of 31

6 3. Which of the following objects is made up of these component parts? a) 6 of 31 Grade 11 Essential Mathematics

7 Name: b) c) d) Final Practice Exam 7 of 31

8 4. Which of the following is not an example of a linear relation or pattern? a) Age (years) Weight (lbs.) This table is not a linear relation because the age increases by five years each time, but the weight does not always increase by the same amount each time. b) Sam s Age Jay s Age This table is a linear relation because for every two years that Sam ages, Jay also ages two years. c) 2, 10, 18, 26, 34, 42 d) This sequence is a linear relation because it increases by 8, but it is not a relation a relation must have two parts that are mathematically connected in some way. Although it doesn t look completely linear, a line of best fit could be drawn that would pass through or near all points. 8 of 31 Grade 11 Essential Mathematics

9 Name: 5. The scale factor of the drawing below is 1 cm : 1 3 cm. What is the actual length of the ladybug? a) 1 cm b) 2 cm c) 9 cm d) 3 cm 6. Select the trigonometric ratio you would use to solve for s. a) tangent ratio b) cosine ratio c) sine ratio d) Pythagorean theorem s 20 m Identify a benefit of using your debit card to purchase goods. a) The interest charged for the money you spend is usually somewhat less than the rate charged by a credit card company. b) You are able to overdraw your bank account at any time as much as you want. c) If your card and PIN are stolen, you are reimbursed for the money taken by the thief. d) You can use it to purchase goods without using credit or adding to your debt. Final Practice Exam 9 of 31

10 8. It is important for you to keep your personal and financial information secure. Select the statement that is not a proper security precaution. a) Filter your so that you can dispose of the junk mail without having to open every message. b) Share your password with people so that, if you forget it, they can tell you what it is. c) Use a combination of letters and numbers in your password. d) Do not share personal information on websites that are not marked as secure. 9. Calculate the slope of the ramp. a) 1 3 b) c) d) The slope of a horizontal line is: a) undefined b) 1 c) 0 d) 1 10 of 31 Grade 11 Essential Mathematics

11 Name: Part B: Definitions (10 x 1 = 10 marks) Match each definition with the correct term from the list below. Write the correct term on the line below each definition. Terms are used only once. Not all terms have a definition provided. angle of depression angle of elevation arithmetic sequence budget cheque register chequing account combination account component view constant of variation cosine ratio deficit dependent variable direct variation electronic savings account expenses exploded view extrapolation fixed value geometric sequence independent variable interpolation linear relation oblique projection one-point perspective outstanding entry partial variation recurring expenses savings account scale factor scatterplot service charge sine ratio slope tangent ratio unexpected expenses variable 1. The view of an object that shows all the parts, and how they are oriented to each other. 2. A set of numbers such that each number is a certain amount larger/smaller than the previous number. 3. This account is used for day-to-day banking, and usually requires a minimum balance to pay interest. 4. Estimating values outside the set of data. 5. The ratio that compares the dependent and independent variables of a linear relation. 6. Money paid to another person or company to pay for an item or service. 7. A ratio that compares the sides opposite and adjacent to an angle in a right triangle. 8. An organized way to analyze and plan the way you save and spend money, and that allows you to set and achieve goals. 9. A symbol or letter that represents an unknown value. 10. A variable in a math relationship that is not affected by the other variable. Final Practice Exam 11 of 31

12 Part C: Long Answer (80 marks) Show all formulas and calculations used to answer each question. Write your final answers rounded to the number of decimal places indicated in the questions. Include units where appropriate. Clearly state your final answer. Module 4: Managing Money (22 marks) 1. Delanie is a single mother with two children, ages 6 and 10. Delanie works 35 hours per week as an information technologist. Her net annual income is $26,945. Delanie is now renting an apartment but would like to own her own condominium. She receives a monthly child tax benefit of $72.60 for her two children. Delanie s expenses for the month of September will include the following: n rent of $ n adult bus pass of $55.85 n bus tickets of $7.50 for each child n taxis of $14.00 n telecommunications payment of $30.00 n hydro payment of $75.00 n groceries of $ n clothing of $ n eyeglass expense of $ n school supplies of $60.00 n child-care expense of $180 n gymnastics lessons of $30 n personal care expense of $28.00 n entertainment expense of $40.00 n gifts of $30.00 Her annual expenses will include the following: n life insurance premiums of $ n tenant insurance of $212 n children s summer camp of $350 n Christmas spending of $240 n newspaper subscription of $ of 31 Grade 11 Essential Mathematics

13 Name: a) Prepare a budget for Delanie for the month of September. Use the budget form at the end of the exam. (10 marks) b) Is Delanie s budget in a deficit position? (1 mark) c) Delanie would like to save $ to use as a down payment on a condo. Will she be able to save this amount in the near future? (1 mark) d) The cost of children s bus tickets increases to $10.00 while adult bus passes increase to $75 per month. Explain how these cost increases will affect Delanie s budget. For example, will she be in a deficit position? (2 marks) Final Practice Exam 13 of 31

14 2. List two advantages of online banking. (2 marks) 3. Datu works at a financial institution. It is his responsibility to ensure that all cheques and deposit slips are authentic (real) and correct. Today, Datu found a cheque and a deposit slip that were completed incorrectly. Identify what is wrong with each and correct the mistake. (2 marks each 2 = 4 marks) a) 14 of 31 Grade 11 Essential Mathematics

15 Final Practice Exam 15 of 31 Name: b)

16 4. Compare the following monthly account statement with its cheque register. There is one error and/or omission in the cheque register. Locate the error and/or omission and make the necessary change in the cheque register. (2 marks) Bank Statement Date Description Withdrawals Deposits Balance Feb. 1 Balance Forward Deposit Feb. 4 Cheque Feb. 5 Cheque Cheque Feb. 15 Deposit Feb. 20 Cheque Feb. 22 Cheque Feb. 29 Cheque Cheque Register DATE Feb. 1 CHEQUE NO. TO CHEQUES ISSUED TO OR DESCRIPTION OF DEPOSIT Deposit CHEQUE AMOUNT 3 DEPOSIT AMOUNT DEDUCT CHEQUES AND DEPOSITS CHEQUE DEPOSIT + BALANCE FORWARD FOR BALANCE Ü Mar. 2 TO Photocopies For Less CHEQUE DEPOSIT FOR BALANCE Ü TO M. Fenster CHEQUE DEPOSIT FOR BALANCE Ü TO Wholesome Goods CHEQUE DEPOSIT FOR BALANCE Ü TO O & R Rental Agency CHEQUE DEPOSIT FOR BALANCE Ü TO Deposit CHEQUE DEPOSIT FOR BALANCE Ü TO Budget Department Store CHEQUE DEPOSIT FOR BALANCE Ü TO Zack s Electronics CHEQUE DEPOSIT FOR BALANCE Ü TO Terry s Photos CHEQUE DEPOSIT FOR BALANCE Ü TO Deposit CHEQUE DEPOSIT FOR BALANCE Ü of 31 Grade 11 Essential Mathematics

17 Name: Module 5: Relations and Patterns (30 marks) 1. The graph below shows Jack s typing speed. 250 Jack s Typing Speed Number of Words (n) Time in Minutes (t) State the independent and dependent variables. (2 marks) Independent variable: Dependent variable: 2. a) How can you tell whether a set of numbers represents a linear pattern. Use an example as part of your answer. (2 marks) Final Practice Exam 17 of 31

18 b) Does the table of values represent a linear relation? Explain your answer. (3 marks) Number of Fish Profit ($) During the second week of November, Emma works the following hours: Monday, 2; Tuesday, 6; Wednesday, 3; Thursday, 8; Friday, 7. Emily s hourly rate is $15. a) Express the relation between daily gross pay and hours worked with an equation. (2 marks) b) Complete the following table of values for the relation between daily gross pay and hours worked. (3 marks) Hours Worked Gross Pay ($) Mon. Tues. Wed. Thurs. Fri. 18 of 31 Grade 11 Essential Mathematics

19 Name: c) Draw a graph to show the relation between gross pay and the number of hours worked. Write the appropriate scales and labels onto the graph. (5 marks) d) Explain how the hourly rate is related to the slope of the graph. For example, if she were paid only $10 per hour, how would this affect the graph? (1 mark) e) If Emily were paid $20 per shift plus her wage of $15 per hour, how would this affect the graph? (2 marks) Final Practice Exam 19 of 31

20 4. The relation between the mass (m) of a substance and its volume (V) is expressed by the following graph. a) Choose two points on the graph and use the coordinates of these points to calculate the slope. (2 marks) b) Express this relation as an equation. Be sure to identify the variables. (2 marks) 20 of 31 Grade 11 Essential Mathematics

21 Name: c) Find the volume of this substance with a mass of 18 g. Use the formula from part b. Write your answer rounded to one decimal place. (2 marks) d) Find the mass of this substance with a volume of 9 cm 3. Show your work on the graph. (1 mark) 5. Sam s car has a broken speedometer, and so he is using his GPS to determine his speed. According to the GPS, his speed is 40 metres per second. The speed limit is 110 km/h. Is Sam speeding? Show how you arrive at your answer. (3 marks) Final Practice Exam 21 of 31

22 Module 6: Trigonometry (7 marks) 1. From a point 125 m from the foot of a building, the angles of elevation of the top and bottom of the flagpole are 40.0 and 38.1 respectively. The flagpole is set on the roof of the building. b m a) Calculate the height of the building (2 marks) 22 of 31 Grade 11 Essential Mathematics

23 Name: b) Calculate the height of the flagpole. (3 marks) 2. Calculate the measure of q in degrees. Write your answer rounded to one decimal place. (2 marks) Final Practice Exam 23 of 31

24 Module 7: Design Modelling (21 marks) Blue cube = 1 unit long Green bar = 3 units long Yellow bar = 5 units long Red bar = 2 units long White bar = 4 units long 1. Use the 3-D drawing below to answer the questions that follow. a) Select the 2-D view that matches the drawing above. (1 mark) Answer: Set I: or 24 of 31 Grade 11 Essential Mathematics

25 Final Practice Exam 25 of 31 Name: Set II: b) Use the isometric dot paper below to draw a 3-D representation for the other set of 2-D views. Be sure to label each drawing, and label each section of each drawing with the appropriate colour if you do not have pencil crayons. (6 marks)

26 2. a) Sketch the exploded view of the following object. (5 marks) 26 of 31 Grade 11 Essential Mathematics

27 Name: b) The scale of this drawing is 1 inch : ft. What are the actual dimensions of the object? (4 marks) 3. a) Where is the vanishing point for the drawing shown below? (1 mark) Final Practice Exam 27 of 31

28 b) Complete a one-point perspective drawing of the object below, if the vanishing point is below and to the right. (4 marks) 28 of 31 Grade 11 Essential Mathematics

29 Name: MONTHLY BUDGET FORM Weekly Amount Annual Amount AVERAGE MONTHLY INCOME 1) NET INCOME 1) $ Primary Income... $ $ Secondary Income... $ $ Other Income... $ $ Total Annual Income... $ MONTHLY SAVINGS 2) MONTHLY SAVINGS (10% of Average Monthly Income) 2) $ 3) MONTHLY EXPENSES Mortgage or Rent... $ Car Payments... $ Telecommunications... $ Hydro... $ Other Utilities... $ Cable... $ Groceries... $ Clothing... $ Car Maintenance... $ Gasoline... $ Health and Disability Insurance... $ Personal Care... $ Entertainment... $ TOTAL Other... $ MONTHLY Other... $ EXPENSES TOTAL MONTHLY EXPENSES 3) $ Annual Amount Monthly Amount 4) ANNUAL EXPENSES Car Insurance... $ $ Life Insurance... $ $ Property Taxes... $ $ Home Insurance... $ $ Vacations... $ $ TOTAL Newspapers & Periodicals... $ $ MONTHLY Other... $ $ CONTRIBUTIONS TOTAL MONTHLY EXPENSES 4) $ 5) SUMMARY 1. AVERAGE MONTHLY INCOME... 1) $ 2. SAVINGS... 2) $ 3. TOTAL MONTHLY EXPENSES... 3) $ 4. TOTAL MONTHLY CONTRIBUTIONS... 4) $ TOTAL AMOUNTS $ 5. AMOUNT AVAILABLE FOR OTHER SAVINGS OR EXPENDITURES (DEFICIT) 5) $ Note: If the person is in a deficit position, the budget needs to be analyzed for possible adjustments to spending. Final Practice Exam 29 of 31

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31 Name: MONTHLY BUDGET FORM Weekly Amount Annual Amount AVERAGE MONTHLY INCOME 1) NET INCOME 1) $ Primary Income... $ $ Secondary Income... $ $ Other Income... $ $ Total Annual Income... $ MONTHLY SAVINGS 2) MONTHLY SAVINGS (10% of Average Monthly Income) 2) $ 3) MONTHLY EXPENSES Mortgage or Rent... $ Car Payments... $ Telecommunications... $ Hydro... $ Other Utilities... $ Cable... $ Groceries... $ Clothing... $ Car Maintenance... $ Gasoline... $ Health and Disability Insurance... $ Personal Care... $ Entertainment... $ TOTAL Other... $ MONTHLY Other... $ EXPENSES TOTAL MONTHLY EXPENSES 3) $ Annual Amount Monthly Amount 4) ANNUAL EXPENSES Car Insurance... $ $ Life Insurance... $ $ Property Taxes... $ $ Home Insurance... $ $ Vacations... $ $ TOTAL Newspapers & Periodicals... $ $ MONTHLY Other... $ $ CONTRIBUTIONS TOTAL MONTHLY EXPENSES 4) $ 5) SUMMARY 1. AVERAGE MONTHLY INCOME... 1) $ 2. SAVINGS... 2) $ 3. TOTAL MONTHLY EXPENSES... 3) $ 4. TOTAL MONTHLY CONTRIBUTIONS... 4) $ TOTAL AMOUNTS $ 5. AMOUNT AVAILABLE FOR OTHER SAVINGS OR EXPENDITURES (DEFICIT) 5) $ Note: If the person is in a deficit position, the budget needs to be analyzed for possible adjustments to spending. Final Practice Exam 31 of 31

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