Name:    Math 8 LG 1 Practice Quiz #5

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

1.

Write the ratio 9:12 as a fraction.
 a. b. c. d. 2.

Write the part-to-whole ratio 12:13 as a fraction.
 a. b. c. d. 3.

Write the part-to-whole ratio 7:16 as a percent.
 a. 43.75% b. 0.4375% c. 56.25% d. 77.78%

4.

A student has 3 red counters and 10 blue counters on her desk.
What is the ratio of red counters to blue counters?
 a. 10:3 b. 3:10 c. 3:13 d. 10:13

5.

Bob sold 11 adult tickets, 26 students tickets, and 4 child tickets for the school concert.
What is the ratio of student tickets to total number of tickets?
 a. 26:37 b. 11:41 c. 26:41 d. 11:37

6.

Write the ratio 16:24 in simplest form.
 a. 4:6 b. 2:3 c. 3:3 d. 3:2

7.

Write the ratio 35:7 in simplest form.
 a. 6:1 b. 10:2 c. 5:1 d. 28:1

8.

Which two ratios are equivalent?
14:16,  15:30,  35:40,  21:23
 a. 14:16, 35:40 b. 15:30, 21:23 c. 14:16, 15:30 d. 35:40, 21:23

9.

A model is made of a car. The car is 3 m long and the model is 4 cm long.
What is the ratio of the length of the car to the length of the model?
 a. 75:1 b. 3:4 c. 4:3 d. 1:75

10.

Find the value of the variable.
8:7 = p:56
 a. 64 b. 80 c. 72 d. 88

11.

Find the value of the variable.
33:f = 12:20
 a. 20 b. 7 c. 55 d. 41

12.

Find the value of the variable.
18:12 = 30:w
 a. 28 b. 40 c. 56 d. 20

13.

A vehicle uses 60 L of gas for travelling a distance of 500 km.
Calculate the rate of gas consumption of the vehicle in L/100 km.
 a. 0.12 L/100 km b. 8.33 L/100 km c. 12 L/100 km d. 300 L/100 km

14.

A soccer player scored 32 goals in 75 games.
Write the player’s scoring rate as a unit rate. Round your answer to 3 decimal places.
 a. 0.427 goals per game c. 0.677 goals per game b. 2.344 goals per game d. 1.844 goals per game

15.

Tomatoes cost \$2.80 for 2 kg. How many kilograms of apples can you buy with \$7.00?
 a. 5 kg b. 4 kg c. 6 kg d. 7 kg

Short Answer

16.

Marty has 3 white T-shirts, 2 coloured T-shirts, and 4 sweaters.
What is the ratio of T-shirts to sweaters?

17.

In a class library, 3 out of 5 books are non-fiction.
If there are 45 books in the library, how many are fiction?

18.

Which ratio is greater, 2:3 or 3:5?

19.

The ratio :5, in simplest form, is greater than the ratio 5:7. Find the missing number.

20.

Todd and Andrew have the same number of cards in their collection of hockey and baseball cards. Todd has 5 hockey cards for every 4 baseball cards. Andrew has 7 hockey cards for every 5 baseball cards. Who has more hockey cards? Explain.

21.

In box A, the ratio of red cubes to total number of cubes is 5:11.
In box B, the ratio of red cubes to total number of cubes is 9:10.
If the total number of cubes is the same in each box, which box contains more red cubes? Explain.

22.

Find the value of the variable.
6:x = 9:17

23.

The ratio of win to loss is 5:4 for a sports team.
If the team played 90 games, how many games did the team win?

24.

A cake recipe calls for 700 g flour, 300 g sultanas, 600 g raisins, and 300 g cherries.
a)      What is the ratio of flour to fruit?
b)      What is the ratio of sultanas and raisins to cherries?
c)      How much fruit, to the nearest tenth of a kilogram, is required for 3 kg of flour?

25.

Green paint and white paint are to be mixed in the ratio 2:3.
a)      How many litres of green paint are required for 24 L of white paint?
b)      How many litres of white paint are required for 14 L of green paint?
c)      How many litres of each colour are required to make 30 L of mixture?

26.

In his Marathon of Hope, Terry Fox ran 5373 km in 143 days.
On average, how far did he run each day?

27.

The West Coast Trail on Vancouver Island is a tough 75 km hike.
A group of hikers took 6 days to hike the trail.
What was the average distance, to the nearest tenth of a kilometre, covered each day?

28.

Bailey ran 5 laps of the track in 17 min. Aileen ran 6 laps in 21 min.
Who, on average, ran faster? Explain.

29.

A 2.4-kg bag of grass seed covers an area of 1200 m2.
a)      What area will 1 kg of grass seed cover?
b)      How much grass seed is needed to cover an area of 800 m2?

30.

A package of 18 boxes of breakfast-size cereal costs \$7.74.
Another package of 36 boxes of the same cereal costs \$11.16.
Which is the better buy? Explain.

Problem

31.

A bag contains red, green, and blue balls in the ratio 8:6:7.
a)      If there are 32 red balls, how many green balls and blue balls are in the bag?
b)      What is the percent of red balls in the bag?
Show your work.

32.

Darlene sells boxes of balls containing the same ratio of balls in 3 different colours.
The ratio of red to blue to green is always 3:20:15.
a)      In a box with 100 blue balls, how many red balls are there?
b)      In a box with 60 green balls, how many balls are in the box?

33.

Wallet A contains 36 coins of quarters and loonies in the ratio 2:7.
Wallet B contains 36 coins of quarters and loonies in the ratio 1:3.
Wallet C contains 36 coins of quarters and loonies in the ratio 1:5.
Calculate the amount of money in each wallet. Which wallet contains the greatest amount of money?

34.

To make light purple paint, red paint and blue paint have to be mixed in the ratio 5:6.
Then an equal amount of white paint has to be added.
If Jake has 55 L of white paint, how much red paint does he need?
Show your work.

35.

The length-to-width ratio of a rectangle is 8:5.
a)      Find the perimeter and area of a rectangle of width 10 cm.
b)      Find the length and width of a rectangle with perimeter 78 cm.
Show your work.

36.

A truck needs 29 L of fuel to travel 377 km.
Can the truck travel 117 km with 9 L of fuel? Explain.

37.

A garden is in the shape of a trapezoid.
One actual dimension of the garden and the dimensions of a scale drawing of the garden are shown.
a)      Find the scale of the drawing.
b)      What is the perimeter of the garden? 38.

In a factory, each of two machines A and B produces 294 business cards per day.
On machine A, 4 out of every 21 cards is faulty.
On machine B, 3 out of every 14 cards is faulty.
If the results are combined, what is the ratio of faulty cards to total cards produced?

39.

In 3 stores, the same detergent is on special. Which store offers the best buy? Explain.
A:      6 bottles for \$12.48
B:      7 bottles for \$14.42
C:      5 bottles for \$10.35

40.

This table shows the fuel consumption for 4 different cars.
 Car Fuel Consumption A 26.4 L/400 km B 42.5 L/500 km C 25.9 L/350 km D 43.2 L/450 km
a)      Express each fuel consumption in L/100 km. Which car is the most fuel efficient?
b)      How much fuel would each car need to travel 900 km?