practice_test_---2019

Practice Test Unit 8---2019 May 8, 2019 Name:_________________ Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. A 2 L carton of milk costs $3.26. What is the unit rate? a. $0.83/500 mL b. $3.27/2 L c. $0.61/L d. $1.63/L ____ 2. A dozen eggs cost $2.63. What is the unit rate? a. $0.45/egg b. $0.22/egg c. $0.26/egg d. $2.63/dozen ____ 3. Maureen ran 15 km in 1.25 h. What is her running speed? a. 12 km/h b. 15 km/h c. 120 m/min d. 200 m/s ____ 4. The graph shows how a cyclist travels over time. Over which interval is the cyclist travelling the slowest? a. BC b. DE c. EF

d. FG ____ 5. The graph shows how a cyclist travels over time. Over which interval is the cyclist travelling at 10 km/h? a. AB b. BC c. DE d. EF ____ 6. Which situations could be described using the rates $15.56/lb, 80 km/h, and $1.58/L? a. price of nails, average human running speed, price of sunflower oil b. price of coffee, cruising speed of an airplane, price of milk c. price of lobster, highway speed limit, price of apple juice d. price of crude oil, average speed of a truck, price of cola ____ 7. A 4.5 kg package of wild Pacific salmon costs $108. Which equation determines the amount of salmon, A , in kilograms, you could buy for $8? a. b. c. d. ____ 8. The dosage of an antibiotic medicine for a person with a mass of 90 kg is 12 mL. Which equation determines the amount of medicine, A , in millilitres, needed for a person with a mass of 65 kg?

DEF 2.00 1.00 40% 1.00 0.13 GHI 1.50 1.20 40% 1.25 0.16 JKL 1.20 2.00 40% 1.20 0.15 MNO 2.00 1.20 40% 1.20 0.16 a. DEF b. GHI c. JKL d. MNO ____ 12. Which one of the following cylinders is similar to a cylinder that is 8 cm long and 2.5 cm in diameter? Choose the best answer. a. a cylinder 4 cm long and 1.5 cm in diameter b. a cylinder 12 cm long and 3.5 cm in diameter c. a cylinder 16 cm long and 5 cm in diameter d. all of the above ____ 13. An ocean kayak is 5.5 m long, with a beam (width) of 54.0 cm and a depth of 34.0 cm. What are the dimensions of a scale model built using a scale of 1 : 5? a. 1.4 m long, 8.0 cm beam, 7.2 cm deep b. 1.5 m long, 9.0 cm beam, 8.0 cm deep c. 1.1 m long, 10.8 cm beam, 6.8 cm deep d. 1.2 m long, 11.0 cm beam, 7.6 cm deep ____ 14. Rectangle A is 6 cm high, 9 cm long, and 15 cm wide. Rectangle B is 14 cm high, 21 cm long, and 35 cm wide. By what factor is the volume of rectangle B greater than the volume of rectangle A? a. b. c. d. ____ 15. A cylindrical oil tank is filled with 500 m 3 of oil. A similar oil tank has dimensions that are reduced by a scale factor of . What volume of oil will fill the smaller tank?

a. 1687.5 m 3 b. 148 m 3 c. 333 m 3 d. 222 m 3 ____ 16. A pool in the shape of a rectangular prism is filled with 15 m 3 of water. A similar pool has dimensions that are increased by a scale factor of . What volume of water will fill the larger swimming pool? a. 27 m 3 b. 19 m 3 c. 47 m 3 d. 36 m 3 ____ 17. A shipping container in the shape of rectangular prism has a surface area of 8 m 2 . A similar shipping container has dimensions that are increased by a scale factor of 2. What is the surface area of the larger shipping container? a. 2 m 2 b. 250 m 2 c. 32 m 2 d. 40 m 2 Short Answer 18. The butcher shop sells a 3 lb package of chicken legs for $9.57. The supermarket sells chicken legs for $7.68/kg. Determine the price per kilogram that each store charges. Which store has the lower price per kilogram? 19. You can buy a 350 g package of dried cranberries for $3.99 or buy them in bulk for $4.89/lb. Determine the price per 100 g for each choice. Which price is lower? 20. Over one day, the outdoor temperature starts at 3 °C, increases at a rate of 1 °C/h for 6 h, remains constant for 3 h, and then decreases by 1.5 °C/h for 4 h. Draw a graph of the temperature over this period. 21. Today, crude oil is worth $77.84/barrel (1 barrel is about 159 L). What is the value of 45 L of crude oil? 22. Determine the scale factor that was used to transform diagram X into diagram Y. Express your scale factor as a fraction and as a percent to one decimal place. 23. The coffee mug used for this scale diagram was 9.0 cm tall. Measure to determine what scale factor was used for this diagram.

The capacity of the largest bowl is larger than the capacity of the smallest bowl by what percent? yuyuyu Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. TOP: Comparing and interpreting rates KEY: rate | unit rate 2. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. TOP: Comparing and interpreting rates KEY: rate | unit rate 3. ANS: A PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. TOP: Comparing and interpreting rates KEY: rate | unit rate 4. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. | 1.7 Explain, using examples, the relationship between the slope of a graph and a rate. TOP: Comparing and interpreting rates KEY: rate 5. ANS: A PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. | 1.7 Explain, using examples, the relationship between the slope of a graph and a rate. TOP: Comparing and interpreting rates KEY: rate 6. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.2 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.8 Describe a context for a given rate or unit rate. TOP: Solving problems that involve rates KEY: rate 7. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 8.2 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.2 Solve a rate problem that requires the isolation of a variable. TOP: Solving problems that involve rates KEY: rate 8. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.2 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.2 Solve a rate problem that requires the isolation of a variable. TOP: Solving problems that involve rates KEY: rate 9. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.3 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. | 2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model. TOP: Scale diagrams KEY: scale | scale diagram | scale factor 10. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 8.3 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. TOP: Scale diagrams KEY: scale | scale factor 11. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 8.4

OBJ: 2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model. | 3.1 Determine the area of a 2-D shape, given the scale diagram, and justify the reasonableness of the result. TOP: Scale factors and areas of 2-D shapes KEY: scale | scale factor | area 12. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.5 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. | 2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model. TOP: Similar objects: scale models and scale diagrams KEY: similar objects 13. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.5 OBJ: 2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model. TOP: Similar objects: scale models and scale diagrams KEY: scale | similar objects 14. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.6 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. TOP: Scale factors and 3-D objects KEY: scale | scale factor | similar objects 15. ANS: B PTS: 1 DIF: Grade 11 REF: Lesson 8.6 OBJ: 3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object. | 3.8 Solve a contextual problem that involves the relationships among scale factors, areas and volumes. TOP: Scale factors and 3-D objects KEY: scale | scale factor | similar objects | volume 16. ANS: D PTS: 1 DIF: Grade 11 REF: Lesson 8.6 OBJ: 3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object. | 3.8 Solve a contextual problem that involves the relationships among scale factors, areas and volumes. TOP: Scale factors and 3-D objects KEY: scale | scale factor | similar objects | volume 17. ANS: C PTS: 1 DIF: Grade 11 REF: Lesson 8.6 OBJ: 3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object. | 3.8 Solve a contextual problem that involves the relationships among scale factors, areas and volumes. TOP: Scale factors and 3-D objects KEY: scale | scale factor | similar objects | surface area SHORT ANSWER 18. ANS: Butcher shop: $7.03/kg Supermarket: $7.68/kg The butcher shop has the lower price. PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. TOP: Comparing and interpreting rates KEY: rate | unit rate 19. ANS: Package: $1.14/100 g Bulk: $1.08/100 g The bulk price is lower. PTS: 1 DIF: Grade 11 REF: Lesson 8.1 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.3 Determine and compare rates and unit rates. TOP: Comparing and interpreting rates

PTS: 1 DIF: Grade 11 REF: Lesson 8.2 OBJ: 1.1 Interpret rates in a given context, such as the arts, commerce, the environment, medicine or recreation. | 1.2 Solve a rate problem that requires the isolation of a variable. | 1.10 Solve a contextual problem that involves rates or unit rates. TOP: Solving problems that involve rates KEY: rate 26. ANS: a) e.g., The current floor plan is 8 cm long by 4 cm wide. If these dimensions were multiplied by 30, the plan would fit on an area that is 240 cm long by 120 cm wide, so that would fit well on the poster board. b) To determine the new dimensions, multiply those on the current scale drawing by 30: kitchen: 60 cm by 30 cm office area: 150 cm by 30 cm storage area #1: 90 cm by 60 cm PTS: 1 DIF: Grade 11 REF: Lesson 8.3 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. | 2.3 Determine, using proportional reasoning, an unknown dimension of a 2-D shape or a 3-D object, given a scale diagram or a model. | 2.5 Solve a contextual problem that involves a scale diagram. TOP: Scale diagrams KEY: scale | scale diagram | scale factor 27. ANS: a) b) Area = (base)(height) Area of A = (42 cm)(20 cm) Area of A = 420 cm2 Area of B = (scale factor)2 (area of A) Area of B = (420 cm 2 )

Area of B = (420 cm 2 ) Area of B = 11.666... cm 2 c) PTS: 1 DIF: Grade 11 REF: Lesson 8.4 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. | 3.1 Determine the area of a 2-D shape, given the scale diagram, and justify the reasonableness of the result. | 3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object. | 3.8 Solve a contextual problem that involves the relationships among scale factors, areas and volumes. TOP: Scale factors and areas of 2-D shapes KEY: scale | scale factor | area 28. ANS: The scale factor, k , from one bowl to another is . For volume and capacity, use the cube of the scale factor. Capacity of bowl = k 3 (capacity of next larger bowl) Capacity of first bowl = 8000 cm 2 Capacity of second bowl = (8000 cm 3 ) Capacity of second bowl = 5359.375 cm 3 Capacity of third bowl = (5359.375 cm 3 ) Capacity of third bowl = 3590.362... cm 3 Capacity of fourth bowl = (3590.362... cm 3 ) Capacity of fourth bowl = 2405.262... cm 3 The capacity of the largest bowl is about 333% the capacity of the smallest bowl. PTS: 1 DIF: Grade 11 REF: Lesson 8.6 OBJ: 2.2 Determine, using proportional reasoning, the scale factor, given one dimension of a 2-D shape or a 3-D object and its representation. | 3.6 Explain, using examples, the relationships among scale factor, area of a 2-D shape, surface area of a 3-D object and volume of a 3-D object. | 3.8 Solve a contextual problem that