Name:    Math 8 LG 1 Practice Quiz #3

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

1.

What is the ratio of triangles to circles?

 a. 6:5 b. 5:6 c. 7:5 d. 5:7

2.

Sally has 7 red cubes and 2 blue cubes on her desk.
What is the ratio of red cubes to blue cubes?
 a. 2:9 b. 2:7 c. 7:9 d. 7:2

3.

The ratios 40: and 8:7 are equivalent. Find the missing number.
 a. 42 b. 35 c. 32 d. 55

4.

Write the part-to-part ratio 11:13 as a part-to-whole ratio.
 a. 1:24 b. 24:13 c. 2:24 d. 11:24

5.

Write the part-to-whole ratio 3:7 as a part-to-part ratio.
 a. 3:4 b. 4:3 c. 3:10 d. 1:4

6.

The ratio of distance travelled to amount of gas used is listed for 4 cars.
Car A: 1:5
Car B: 1:6
Car C: 1:7
Car D: 1:9
Which ratio means the longest distance travelled with the same amount of gas?
 a. 1:5 b. 1:7 c. 1:9 d. 1:6

7.

Order these ratios from least to greatest.
5:8,  5:9,  7:11,  6:9
 a. 6:9, 5:8, 7:11, 5:9 c. 7:11, 6:9, 5:8, 5:9 b. 5:9, 7:11, 5:8, 6:9 d. 5:8, 6:9, 5:9, 7:11

8.

Order these ratios from least to greatest.
1:3,  1:6,  2:15,  3:10
 a. 1:3, 1:6, 2:15, 3:10 c. 2:15, 1:6, 3:10, 1:3 b. 1:3, 1:6, 3:10, 2:15 d. 2:15, 3:10, 1:6, 1:3

9.

Find the value of the variable.
99:135 = 11:m
 a. 9 b. 1 c. 15 d. 99

10.

School guidelines require a minimum of 2 adults for every 25 students going on a school trip.
How many adults are required for a school trip with 51 students?

11.

Laura types 240 words in 3 min. What is her unit rate of typing?
 a. 80 wpm b. 210 wpm c. 240 wpm d. 720 wpm

12.

In a store, ice cream is sold by the litre. Use the graph to find the cost of 2 L ice cream.
 a. \$6.00 b. \$3.00 c. \$9.00 d. \$15.00

13.

At an average speed of 47 km/h, how far can you travel in 7 h?
 a. 336 km b. 384 km c. 376 km d. 329 km

14.

Population density is the number of people per square kilometre.
What is the population density of a city that has 140 000 people in 1150 km2?
 a. 24 people/km2 c. 122 people/km2 b. 79 people/km2 d. 384 people/km2

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

16.

Write 3 different ratios using this diagram.

17.

Shade the grid to show a ratio of 5:7.

18.

A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps. Write a ratio, in simplest form, to compare the stamps.

19.

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

20.

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

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.

Who played better? Explain.

23.

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

24.

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?

25.

There are 48 students going on a school trip. The ratio of boys to girls is 3:5.
a)      How many of the students are girls?
b)      If 8 adults accompany the students, what is the ratio of adults to boys?

26.

The length of a car is 5.4 m. A model of the car has a length of 27 cm.
a)      What is the width of the model car if the actual car is 2.1 m wide?
b)      What is the height of the actual car if the height of the model car is 11 cm?

27.

Model ships are built to a scale of 1:700.
a)      A model ship is 18 cm long. What is the actual length of the ship?
b)      A ship is 420 m long. What is the length of the model ship?

28.

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?

29.

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?

30.

The prices for comparable juice packs in different stores are:
10 packs for \$4.20
20 packs for \$6.00
15 packs for \$4.00

Problem

31.

Below are ingredients listed in a recipe for a salad.
 3 cups chopped chicken 2 cups cooked macaroni 1 cup sliced oranges 2 cups chopped apple 1 cup crushed pineapple 2 cups mayonnaise
a)      What is the ratio of chicken to fruit?
b)      What is the ratio of chicken to macaroni?
c)      What is the ratio of chicken to total ingredients?
d)      What is the ratio of mayonnaise to other ingredients?
e)      Sean made the salad with 2 more cups of chopped chicken and 1 more cup of mayonnaise.
What are the new ratios in parts c and d?

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.

These two ratios are equivalent. Find the missing numbers.
4:7:3 = :21:

34.

Each of four bags contains the same number of red and green balls.
The ratio of red balls to green balls in each bag is listed.
Bag 1: 1:2
Bag 2: 1:3
Bag 3: 4:9
Bag 4: 5:12
Which bag has the greatest number of red balls?

35.

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?

36.

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

37.

Neil and Lois bought notebooks for their math class. Neil bought 6 notebooks for \$10.80.
Lois bought 4 notebooks for \$7.28. Who got the better deal? Explain.

38.

David flew from New Zealand to see his cousin Judy who was on holiday in Canada from France.
The rate of exchange for their money was \$1 Can to \$1.75 NZ or 0.45 euro.
a)      David exchanged \$200 NZ to Canadian dollars and Judy exchanged 200 euros to Canadian dollars.
How many Canadian dollars did each person get?
b)      Each of them bought a gift costing \$45.
What was the value of each gift in New Zealand dollars and in euros?

39.

Mrs. Walker drove on a highway for 1440 km in 15 h to visit her father in another province.
a)      Find her average speed.
b)      The speed limit on the highway was 100 km/h. Did Mrs. Walker comply with the speed limit? Explain.

40.

Jack’s dog will eat two different brands of dog food.
Brand A costs \$19.25 for a 7-kg bag
Brand B costs \$46.15 for a 13-kg bag.
a)      What is the cost per kilogram for each brand?
b)      If Jack mixes the food in the ratio of 2 parts of the cheaper brand to 1 part of the more expensive brand, what is the cost per kilogram of mixed dog food?