FOM11 Chapter 8 Test A



FOM11

Chapter 8 Review

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. A 454 g block of butter costs $4.37. What is the price per 100 g?

|a. |$0.96/100 g |

|b. |$1.04/100 g |

|c. |$0.10/100 g |

|d. |$1.09/100 g |

____ 2. The graph shows how a cyclist travels over time.

Over which interval is the cyclist travelling at 4.5 km/h?

|a. |AB |

|b. |BC |

|c. |CD |

|d. |FG |

____ 3. 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?

|a. |[pic] |

|b. |[pic] |

|c. |[pic] |

|d. |[pic] |

____ 4. Real stop signs have a standard width of 60 cm. Measure this scale diagram

of a stop sign to determine which scale factor was used to draw it.

|a. |[pic] |

|b. |8.3% |

|c. |[pic] |

|d. |7.5% |

____ 5. Which one of the following right cones is similar to a right cone that is 15 cm high and has a diameter of 9 cm? Choose the best answer.

|a. |a right cone 30 cm high and 18 cm in radius |

|b. |a right cone 10 cm high and 5 cm in diameter |

|c. |a right cone 20 cm high and 11 cm in diameter |

|d. |all of the above |

____ 6. A cylindrical oil tank is filled with 500 m3 of oil.

A similar oil tank has dimensions that are reduced by a scale factor of [pic].

What volume of oil will fill the smaller tank?

|a. |1687.5 m3 |

|b. |148 m3 |

|c. |333 m3 |

|d. |222 m3 |

Short Answer

7. A 4.0 L can of Coloura paint will cover 45 m2.

A 2.5 L can of Brights paint will cover 30 m2.

Determine the area that one litre of each type of paint will cover.

Which brand of paint will cover a greater surface area?

8. Today, gold is worth $1200.60/oz (1 oz = 28.3495 g).

What is the value of 0.9 g of gold?

9. A billboard is 1 m by 2.5 m. Draw a scale diagram of the billboard that fits in a space that is 8 cm by 14 cm. What scale factor did you use?

10. Triangle A has an area of 19.00 cm2 and similar triangle B has an area of 118.75 cm2. Determine what scale factor makes triangle B an enlargement of triangle A.

Problem

11. Monroe and Connie drove from Winnipeg to Lethbridge for a music festival. They took turns driving, so they only needed to stop for gas or food. They drove the 1202 km distance in 15 h 34 min. They used 127.8 L of fuel, which cost $142.54.

a) Determine their average speed to the nearest tenth of a kilometre per hour.

b) Determine their average fuel consumption per 100 km.

c) What was the average cost of a litre of gas?

12. The diagram of a coffee shop and the attached parking lot was drawn with a scale of 1:300. On the diagram, the area of the coffee shop is 15 cm2 and the area of the parking lot is 52 cm2.

a) Determine the area of the actual coffee shop in square metres.

b) Determine the area of the actual parking lot in square metres.

FOM11 Chapter 8 Review

Answer Section

MULTIPLE CHOICE

1.A 2.B 3.C 4.D 5.A 6.B

SHORT ANSWER

7. Coloura: 11.25 m2/L

Brights: 12.0 m2/L

Brights paint will cover a greater surface area.

8. $38.11

9. e.g., a rectangle 5.0 cm by 12.5 cm, using a scale factor of 0.05.

10. 2.5

PROBLEM

11. a) 15 h 34 min = 15 h + [pic]

15 h 34 min = 15 h + 0.566... h

15 h 34 min = 15.566... h

[pic]

Their average speed was 77.2 km/h.

b) [pic]

Their average fuel consumption was 10.6 L/100 km.

c) [pic]

The average fuel cost was $1.12/L.

12. a) Scale is 1 cm:300 cm.

For an enlargement, the scale factor, k, is 300.

Area of coffee shop = k2(area of coffee shop drawing)

Area of coffee shop = 3002(15 cm2)

Area of coffee shop = 90 000(15 cm2)

Area of coffee shop = 1 350 000 cm2

Area of coffee shop = 1 350 000 cm2[pic][pic]

Area of coffee shop = 135 m2

The area of the actual coffee shop is 135 m2.

b) Scale is 1 cm:300 cm.

For an enlargement, the scale factor, k, is 300.

Area of parking lot = k2(area of parking lot drawing)

Area of parking lot = 3002(52 cm2)

Area of parking lot = 90 000(52 cm2)

Area of parking lot = 4 680 000 cm2

Area of parking lot = 4 680 000 cm2[pic][pic]

Area of parking lot = 468 m2

The area of the actual parking lot is 468 m2.

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