1. Match the functions represented in the tables of values with the graphs below. Among the following choices, which is the correct match?

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1 REVIEW: FINAL EXAM Exam 1 1. Match the functions represented in the tables of values with the graphs below. Among the following choices, which is the correct match? a) A4, B2, C3, D1 b) A2, B4, C3, D1 c) A4, B3, C2, D1 d) A1, B2, C3, D4 2. Temperatures in four regions of Quebec were collected in the month of August. One of the distributions was represented using a box-and-whisker plot. Identify the distribution that corresponds to the box-and-whisker plot above.

2 3. A figure of a cone is shown below. The height corresponds to the algebraic expression 4x + 1 and the radius of the base corresponds to the algebraic expression 3x. Which algebraic expression represents the volume of the cone? A) 36x 3 + 9x 2 C) (36x 3 + 9x 2 )π Review: Final Exam B) 12x 3 + 3x 2 D) (12x 3 + 3x 2 )π 4. A car dealership is having a sale. The car on sale costs $ There are two buying options available. The first option is to put no money down at the time of purchase, but pay $200 monthly. The second option is to pay $1000 at the time of purchase, and pay $150 monthly. Let x = the number of months passed since purchasing the car Let y = the amount that is left to pay for the car Which system of equations would be used to find when the two payment options would have the same amount left to pay? 5. A dart is thrown at random at a target. The target is a circle inscribed in a larger square with a smaller square taken out. What is the probability the dart will hit the shaded zone?

6. What is the simplified inequality? 7. A cylindrical hole is drilled into a solid shaped as a rectangular prism. What is the total volume of this solid? 8.

3 6. What is the simplified inequality? 7. A cylindrical hole is drilled into a solid shaped as a rectangular prism. What is the total volume of this solid? 8. Place the following 4 numbers in increasing order: 9. A CEGEP with 8000 students decided to do a survey on the number of hours its students spent on paid work. A sample of 3000 students was chosen. The histogram below shows the results. Calculate the average number of hours spent on paid work per student from the data collected in the CEGEP.

4 10. A farmer needs to purchase new corn seeds. He is looking for the species that will grow the fastest. His regular supplier has suggested two new hybrid species. The supplier presents the farmer with data collected on plant growth. Hybrid A, the study of seed growth was modeled. The equation describing the expected growth is: h = 2.25d - 13 where d: represents the number of days passed since planting the seeds h: represents the height of the plant in cm Hybrid B, data was presented in the graph: Knowing that the farmer would like to make his first harvest once the plants have reached a minimum height of 167 cm, which of the two hybrids would you recommend? 11. Using the laws of exponents, show that the following expression is true.

Type B chocolate mould is in the shape of a half sphere with a radius of 5 cm. Sophie must fill 52 type A chocolate moulds and 30 type B chocolate moulds with the mixture.

5 12. To make chocolate mousse, Sophie must mix melted chocolate and cream in a pot. One "surprise of the week" toy will be thrown into this mixture. Sophie must then pour the mixture into 2 different types of chocolate moulds. Type A chocolate mould is in the shape of a right square based pyramid with 12 cm sides and a slant height of cm. Type B chocolate mould is in the shape of a half sphere with a radius of 5 cm. Sophie must fill 52 type A chocolate moulds and 30 type B chocolate moulds with the mixture. Given the volume of each chocolate mould, what is the probability that the surprise toy will be in a Type A chocolate? 13. Richard is participating in a treasure hunt. The treasure has been hidden at the intersection of Sugar Street, Maple Street and Oak Street. The scale of the graph is in kilometres. The treasure is located at point T. Oak Street is parallel to Wood Street Richard is located at point A. He plans a route to get to the treasure by travelling down Wood street, turning left on Birch street and then turning left on Maple street. What is the distance Richard must travel to reach the treasure?

6 14. Mr. Samson and Mr. Tonga live in the same neighbourhood. Mr. Samson's lawn is in the shape of an isosceles trapezoid and Mr. Tonga's is a closed 6 sided polygon. After looking at city plans it was determined that both their lawns have equivalent areas. lf the cost of fencing the perimeter of the lawn is $40 / m, whose lawn costs the most to fence and by how much? 15. The Garden of Eden company is launching a new kind of juice. They hire you to calculate the amount of cardboard used for the containers of their new product. Here are the specifications: In one day, the company produces 3000 units of the family size container and 6000 units of the individual size container. Determine the quantity of cardboard needed for the production of the containers in one day.

7 EXAM 2 1. A cone is shown below. What is the volume of the cone? 2. Simplify these binomial expressions:(3x+ 7)(2x + 4) 3. Below are the two equations that represent the growth of two trees. y1 = 1.6x+ 1.5 y2=1.1x+3.5 where: x: number of years y: total height in metres When will the two trees be the same height? 4. Triangle ABC below is a right angle triangle. What is the length of AD? 5. Simplify the following algebraic expression.

8 6. Which number line represents the solution set of the simplified inequality? 7. Cynthia is emptying a large aquarium tank. Below is a graph showing time elapsed in minutes and litres left in the tank. What is the rule showing the relation between time and litres left in the tank? 8. Simplify the algebraic expressions in the following table. What is the 4th expression in this pattern? 9. A game of chance involves throwing a dart at a circular target on which an isosceles triangle is drawn. The height of the triangle is the radius of the circle. The base of the isosceles triangle measures 30 cm. lf the dart lands in a shaded area, the player wins a prize. What is the probability of winning a prize in this game?

10. During the term, Joey recorded his grades and the weight of each evaluation in the table below, but forgot to write his last exam grade: His first term mark in math was 77%.

has the same rate of change (slope) as Line B. Where does Line C cross the x-axis? 12. Geotown is holding a summer festival. One of the activities includes making sand castles.

9 10. During the term, Joey recorded his grades and the weight of each evaluation in the table below, but forgot to write his last exam grade: His first term mark in math was 77%. What grade did Joey receive on his second exam? 11. Three lines are represented below. Line A: y=3x+2 Line B: Line C: has the same initial value (y-intercept) as Line A. has the same rate of change (slope) as Line B. Where does Line C cross the x-axis? 12. Geotown is holding a summer festival. One of the activities includes making sand castles. Samuel decided to create a miniature pyramid. Samuel's creation is made of sand and is in the shape of a square-based pyramid. The side of the square base measures 320 centimetres and the slant height of the pyramid measures 200 centimetres. Sand is purchased in packs of 1 m 3. How many packs of sand will Samuel need to build his sand castle?

10 13. Fifteen Secondary lll students completed a 100 m race in the spring. All of their times were recorded in the table below. Your principal has asked you to present the data to the training club in your city. Create a box and whisker plot and label all necessary information. Once completed, identifying the mean, mode and range. Race times for the 15 students in the 100 m race: 14. Shelly is in the process of redecorating her room. She is on a tight budget, so she has decided to shop for inexpensive items at a local garage sale. She comes across the lamp shown below. The lamp pieces are permanently glued together. She likes the style of the lamp, but wants to improve its appearance by: painting all of the sides of the square base excluding the bottom. Painting the lateral area of the cylindrical pole. Painting the outside of the hemispherical lamp shade a new color. The lampshade is a hollow hemisphere. What is the total surface area that Shelly will be painting?

11 15. Sarah and Peter work at Growingdales department store. They are paid a fixed amount plus a commission based on a percentage of their sales. Sarah works in the shoe department and Peter works in the clothing department. Consider the following information about the salary structures in two of the departments: Shoe department (Sarah) Employees earn a 10% commission on their sales plus a fixed amount of $70 per day. Clothing Department (Peter) Sarah thinks that they can make the same salary. Peter thinks that they will never make the same salary. Who is right? Explain your answer. 16. Territories 1 and 2 have the same area. As the number of wolves increases, Shane would like to relocate a number of wolves into a new, bigger territory where each wolf would have 40 km2 to roam. The new territory has a similar area to Territory 1. The lengths are scaled by a factor of 1.3. How many wolves can be relocated into the new territory?

12 EXAM 3 1. Which interval notation represents the solution set of the inequality below? -2x Two square based pyramids are similar. The lateral area of the larger pyramid is 320m². The slant height of the larger pyramid is 16 m. The slant height of the smaller pyramid is 9.6 m. What is the lateral area of the smaller pyramid? 3. What is the simplified algebraic expression? 4. What is the answer to the following in correct scientific notation? ( ) (25.6 x 10³)

In Brenda s Science class, the calculations of her term mark are shown in the table below. However, her Test 1 mark is missing.

13 5. On the target below, the square is inside the circle. The radius of the circle is 7.5 cm. What is the probability, to the nearest percentage, that this point is in the shaded area? Note: Use π = 3.14 Review: Final Exam 6. In Brenda s Science class, the calculations of her term mark are shown in the table below. However, her Test 1 mark is missing. What is Brenda s mark for Test 1? 7. There are 26 students in Christian s class. Christian s term mark for math is 81%. The marks of the entire class, including Christian s, are below: a) What is the interquartile range (IR)? b) In which quarter is Christian s mark located?

8. In the Fall, Pat needs to drain her swimming pool using a small garden hose. The pool holds 46 200 litres of water, the pool drains at a constant rate.

14 8. In the Fall, Pat needs to drain her swimming pool using a small garden hose. The pool holds litres of water, the pool drains at a constant rate. After 6 hours, litres of water remain in the pool. Review: Final Exam After how many hours will the swimming pool be empty? 9. A company makes 2 sizes of spherical ornaments: large and small. The ornaments are sold in similar cylindrical containers. The area of 1 small ornament is 78.5 cm².the volume of the small cylinder is cm³. The volume of the large cylinder is 3925 cm³. What is the radius of the large cylinder? Note: use π = The area of rectangle ABCD is 12x² + 9x. Side AD is the GCF (greatest common factor) of 12x² + 9x. What algebraic expression represents the area of triangle BEG?

15 11. Amy and Jimmy were talking about wakeboarding in the summer. Amy likes to go to Lake Brunet Boating Club. The Club charges a certain amount per hour to wakeboard and a fixed amount for equipment rental. Three hours of wakeboarding costs $205. Five hours of wakeboarding costs $325. Jimmy wakeboards at the Centre de Plein Air in the Laurentians. The cost of wakeboarding at Centre de Plein Air is $50 per hour plus $45 to rent the equipment. After how many hours of wakeboarding would it cost the same at both wakeboarding facilities and what would that cost be? 12. Students in a woodworking class made birdhouses. Karen is painting the outside of her birdhouse red. She needs to calculate the surface area of the birdhouse to know how much paint is needed. The birdhouse has a square base. The shaded hole has a diameter of 6 cm. The edge of the roof is cm. What is the total surface area of her birdhouse? 13. A survey was done across Quebec to see which cell phone apps were the most popular among teenagers and adults to download on their cell phonesthere are 27 more men (18+) than women (18+) who downloaded a News/Weather app. How many men (18+) subscribe to a News/Weather app?

16 14. Below is a rectangle representing the skate park. Connected to the skate park is a triangular green space. The area of the skate park is 32x 4 y + 44 x 2 y + 8x 2. The width of the rectangle is 4x 2. One of the sides of the green space is 7x 2 y + 3x What is the difference between the perimeter of the green space and the perimeter of the skate park? 15. Students are making candles as part of their entrepreneurship project. Each candle consists of a cone and a hemisphere. The volume of the hemisphere is cm³. The total height of the candle is 21 cm. The students must make 25 candles. How many litres of wax will it take to make 25 candles? How many litres of wax will it take to make 25 candles?

17 C1 EXAM The Student Council at your school is organizing a Spaghetti Dinner to raise funds for an end of the year trip. You are responsible for inviting the guests and taking care of the table decorations. You must accomplish your tasks and return the left over funds back to Student council. The Spaghetti Dinner will be held in the school s cafeteria. Each cafeteria table seats 8 people. A total of 14 tables can fit in the cafeteria. Student Council has sold tickets for every seat to the event. Your Budget You have been given a portion of Student Council s budget for the Spaghetti dinner p q Your maximum budget is equal to the value of the monomial p q p is 4 and q is 2. You are told that you must spend a minimum of at least $ The value of Invitations An invitation will be sent to every guest. The original rectangular invitation chosen by Student Council was too small so you ve placed an order for larger invitations. The new invitations were obtained by increasing the length and width of the original invitation. The perimeter of the new invitation is 62 cm. 2x 3 x x 1 x 2 original invitation new invitation Area of invitation (cm 2 ) Cost per invitation 2 area 200cm $ area 200cm $0.25 Each invitation is printed on specialty paper. The cost of each invitation depends on the amount of paper used. You will be handing out the invitations personally.

18 Table Decorations Candles Each table will also have a candle for mood lighting. There are two types of candles available, one in the shape of a?? rectangular based prism and one in the shape of a rectangular based pyramid. 8 cm 5 cm 15 cm 10 cm You want to use the taller of the two candles. Each candle is made with 0.8 L of wax. The rectangular based prism candles cost $1.75 each and the rectangular based pyramid candles cost $2.60 each. Tablecloths Each table requires a tablecloth that has an area 4 times bigger than the area of the tabletop. Both the tabletops and the tablecloths are in the shape of right triangles with measurements shown below. 5 dm table top tablecloth 24 dm The cost of a tablecloth varies directly with the area according to the rule y x where x represents the area of a tablecloth (in dm 2 ) and y represents the cost of a tablecloth. Tableware The cost of the tableware depends on the number of tables use and follows the rule of a linear function according to the following table: # tables used Cost of the tableware 3 $ $ $39.50 Before purchasing the invitations and table decorations, you decide to calculate all of the costs. How much money will you be able to return to Student Council, or how much more money will you need to cover all of the costs?

19 Exam 1: 1) A 2) C 3) D 4) B 5) A 6) x 9 7) cm 3 8) , , 14.67, ) 11.3 hrs or 11 hrs 20 mins. Answer Key 10) Hybrid B, which takes 6 fewer days. 11) 76% 12) 12 a b a 25 a b 25 a b a c c c c b c b b a 2 40 a ) 17.2 km 14) Mr. Tonga s fence cost $1180 more. 15) dm 2 Exam 2: 1) D 2) C 3) B 4) A 5) B 6) C 7) Y = 100x ) Algebraic Expression 1. (2x 3 ) 3 8x 9 2. (2x -2 )(2x 8 ) 4x 6 Simplified Algebraic Expression 7 48x 2x x 4. x 0 or 1 9) ) 70% 11) Line C crosses the x-axis at 1. 12) 5 packs of sand 13) Mean = 14 Mode = 13.6 Range = 6.6 Min ) Q cm 2 Q Q Max 18 15) Sarah is right, if they sell $500 worth of sales, their daily salary will be the same at $ ) 30 wolves

20 Exam 3 1. D 2. B 3. C 4. C 5. B 6. A 7. a) 20 b) 3 rd quarter 8. 22hours 9. 5cm 10. 6x² - 6x hours for 145$ 12. $ cm men 14. (6x 2 y 2x 2 11y ) Or (-6x 2 y + 2x y ) L to make 25 candles C1 Exam: Total costs: $158.50, you will return $1.50 to student council

MEASURING IN THE PLANE AND SPACE G.MG.A.3: AREA AND SURFACE AREA

MEASURING IN THE PLANE AND SPACE G.MG.A.3: AREA AND SURFACE AREA 95 A farmer has 64 feet of fence to enclose a rectangular vegetable garden. Which dimensions would result in the biggest area for this garden?