2. a) What year had the biggest difference in ph between spring and fall?

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1 Statistics Review Name: Use the following graph to answer the next 2 questions 1. In what year was ph the lowest? 2. a) What year had the biggest difference in ph between spring and fall? b) What was the difference?

2 Use the following graph to answer the next 2 questions. 3. What is the general trend of the graph? 4. Who is more likely to go to the dentist a female who is 18 or a male who is 20?

3 Use the following graph to answer the next 3 questions. 5. How many people responded to the survey? 6. How many people spent at least 30 minutes on the bus? 7. What percent of people spent at most 10 minutes on the bus?

4 Use the following information to answer the next 2 questions. 8. If you were constructing a pie chart from this data, how many total degrees would you make Entertainment? 9. Construct a graph from the data above, you may use any form you would like.

5 Slope Review 1. Determine the pitch (rise:run) of the following roofs:(remember it must be in lowest form) a) b) c) d) 6ft 24ft 2. What is the percent grade of road that rises 3.0km over a horizontal distance of 51km? 3. What is the slope of a road that rises 30m over a distance of 600m? 4. Determine the angle of elevation of the following triangle:

6 5. A house is 4m above a road. If the house is 28m from the road what is the angle of elevation. 6. The table shows the speed of falcon in it s flight. During which time period did the falcon s speed change the most? Time (in seconds) Speed (m/s) Mike ran 40.5m/s, Explain how you can convert this to km/h. 8. You are driving the school s mini-bus and notice that its speedometer is not in km/h. The speed limit says it is 60km/h. You are travelling at 50mph. Are you speeding? 9. Ty runs 4000m every hour. How long to the nearest hundredth of a second does it take him to run 1 meter.

7 10. Teesha is going to build a waterslide. The diagram below represents the top portion of her slide. The slide must not have a slope greater than 40%. a) Calculate the percent grade of the slide. Does it meet code? b) Why does it need the percent grade to be less than 40%? c) Calculate the angle of elevation for the slide above.

8 Measurement 1. Calculate the Surface area of the following shapes: a) b) c) d)

9 2. What is the difference between volume and capacity? 3. Do the following shapes have volume, capacity or both volume and capacity? Explain your answer. a) b) c) d) 4. Calculate the volume of the following objects: a) b)

10 c) d) 5. Calculate the volume of the following figure. What happens to the volume if all the side lengths of the prism are doubled? What if they are tripled? 6. The surface area of a ball is 4.8ft 2. How big is the radius?

11 7. a) How much grain in m 3 can be stored in this silo. They do not put grain in the hemisphere on the top. b) If the estimated crop was 1000m 3 how many silos of this type would it take to hold the crop? c) If you wanted to build a new silo. What is the total surface area of the whole silo? (including hemisphere) Assume the cylinder has no bottom.

12 Scale Drawings: 1. Complete the chart below. The first one is done for you: Scale Factor Scale Model Original/Actual 2 8 cm 4 cm ½ 56cm 3/16 90m ft 200% 1m ft 36ft 2. Mike has a picture of himself holding a fish. Mike is 6.25ft tall. In the picture mike is 6 tall and the fish is 2.5 long. How long is the fish in real life? 3. In the following diagram a = 54cm. What are the lengths of b,c and d?

13 4. Draw an exploded view of the following: 5. Draw top and side and front views for the following figures a) b) 6. Solve for d in the following figure:

14 7. Using the isometric paper draw a set of stairs that is 6 steps high. Each step is 1 deep, 1 high and 4 wide.

15 8. Draw a one-point perspective drawing of the following shape. 9. Make the following net into a 3-D figure:

16 Trigonometry 1. Represent the following scenario as a 2-D drawing. A road is 3.5km long and has an angle of depression of 3 o. The second part of the road is 5.7km long and makes an angle of 78 o below the horizontal. 2. Courtney locks her keys out of the house. She leans a ladder against an open bedroom window. The window is 12ft high and the ladder has a 72 o angle of elevation. How long is ladder? 3. Two buildings are side by side. The shorter building is 40ft tall. If you stand on the roof of the short building the angle of depression from the roof of the short building to the base of the large building is 70 o. The angle of elevation from the roof of the short building to the roof of the large building is 52 o. What is the height of the large building? 4. A plane is landing. The plane travels 400km with an angle of depression of 5 o. How far horizontally has the plane travelled?

17 5. Solve for x,y and z in the following figure.

18 Number Sense (Credit cards, loans, and budgeting) 1. Danika s bank account allows for 10 free banking transactions per month. If she is over 10 they will charge a $0.50 fee for every additional transaction. How much will 17 transactions cost her? 2. Why should you try to avoid getting a cash advance on your credit card? 3. Why should you try to avoid using a different banks ATM machine? 4. Why should you try to avoid using a Payday loan service? 5. Using the Rule of 72, about how long would it take the following investments to double? a. 10% b. 20% c. 6.5% d. 3.7%

19 6. Calculate how much money you would have after investing the following: a. $ Compounded quarterly for 6 years at 6% b. $ compounded annually for 10 years at 7% c. $ compounded biannually for 10 years at 7% d. Look at your answers for b and c. Why are they different even though the principal and the term are the same? 7. You are buying a car at a dealership. The car costs $ You cannot pay cash. Your payment options are as follows: Option 1: 15% down payment then 24 monthly payments of $ Option 2: No down payment and 48 monthly payments of $ Option 3: Pay using a cash advance on your credit card. You would be charged interest at an annual rate of 25% and it will take you 25 days to pay the balance.

20 8. Define the following: a. Finance charge b. Amortization period c. Overdraft protection d. Default 9. Calculate the percentage of Mike s income of every expense category. Income Expense Percentage Semi- $ Rent $ Monthly Semi- $ Food $ Monthly Entertainment $ Car $ Misc $ Savings $ Total $ Total $ % 10. Keyton s annual income is $ He puts 20% of his earnings into his car, how much is this? 11. Complete the chart by using the simple interest formula: Interest Principal Rate Time $ $ years $ % 8 years

21 $ $6000 5% $200 7% 10 years 12. a) Does Maddy have a surplus or a Deficit? Explain how you know. Monthly Income Monthly Expenses Paycheque $ Rent $ Food $ Utilities $ Entertainment $ Miscellaneous $50.00 Savings TOTAL TOTAL b) If Maddy puts the remainder of her income in the bank as savings how much will she save in 1month, 1year, and 5 years? 13. Classify each as income or expenses AND fixed or variable.

22 Math 20-3 Formula Sheet Slope rise m run Grade slope 100% slope tan x Finance A P I I Prt r A P 1 n Rule of 72 tn # of years = 72/Annual Interest Rate Trigonometry a b c opposite side of A sin A hypotenuse adjacent side of A cos A hypotenuse Surface Area SA 2 base area lateral area prism 2 SAcylinder 2 r 2 rh 2 SAcone r rs SAsphere Volume VGeneral 4 r Vrectangular prism Vcylinder pyramid 2 Areaof thebase Height V V cone Vsphere 2 r h A lwh Base 3 h 2 rh 1 or r r h opposite side of A tan A adjacent side of A Conversion Chart Imperial Units Imperial to SI SI to Imperial 1 mi = 1760 yd 1 mi = km 1 km = mi 1 mi = 5280 ft 1 yd = m 1 m = yd 1 yd = 3 ft 1 ft = m 1 m = ft Metric System Kilometre km Hectometre hm Decametre dam Metre m Decimetre dm 1 yd = 36 in 1 in = 2.54 cm 1 cm = in 1 ft = 12 in 1 in = 25.4 mm 1 mm = in Centimetre Millimetre cm mm

Grade 11 Essential Math Practice Exam

Score: /42 Name: Grade 11 Essential Math Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following would not be a correct description