Name:    Math 8 LG 1 Practice Quiz #4

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

1.

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

2.

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

3.

The ratios:16 and 5:2 are equivalent. Find the missing number.
 a. 23 b. 80 c. 32 d. 40

4.

Write the ratio 15:25:20 in simplest form.
 a. 3:4:5 b. 10:20:15 c. 5:15:10 d. 3:5:4

5.

In a sports centre, there are 88 lockers for men and 77 lockers for women.
Write the ratio of men’s lockers to women’s lockers in simplest form.
 a. 7:8 b. 8:7 c. 16:14 d. 88:77

6.

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

7.

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

8.

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

9.

Two towns that are 32 km apart are 8 cm apart on a map.
What is the scale of the map?
 a. 1:250 000 b. 1:400 000 c. 1:300 000 d. 1:392 000

10.

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

11.

Victor's model car covers 250 m in 5 min. What is the average speed of his car?
 a. 125 m/min b. 50 m/min c. 250 m/min d. 1250 m/min

12.

Write a unit rate for this statement.
472 km travelled in 8 h
 a. 61 km/h b. 118 km/h c. 60 km/h d. 59 km/h

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.

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

18.

Write 2 ratios equivalent to the ratio 8:10.

19.

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

20.

Jake makes a punch using 4 cans of concentrate with 5 cans of water.
Roland makes another punch using 5 cans of concentrate and 7 cans of water.
Which punch is stronger? Explain.

21.

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

22.

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?

23.

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?

24.

In a survey, 5 out of 6 nutritionists recommended hot oatmeal for breakfast.
If 300 nutritionists were surveyed, how many recommended hot oatmeal?

25.

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?

26.

A hotel offers a special rate of \$104.50 per night, including taxes.
How much does it cost for 6 nights of stay?

27.

The cost of 6 m of ribbon is \$21.
a)      What is the cost per metre?
b)      What would be the cost of 11 m of ribbon?
c)      How much ribbon could you buy for \$28?

28.

Marcus and Lisa went on holiday to England.
The rate of exchange for their money was \$2.35 Can to £1.
a)      How many English pounds would they get for \$176.25 Can?
b)      Lisa bought a gift for £28. What is the value of the gift in Canadian dollars?

29.

Shazia earns \$99.60 for working 12 h. Michelle earns \$94.60 for working 11 h.
Which job pays more? Explain.

30.

The table shows the prices for different numbers of pens.
 Number of Pens Cost 31 \$4.65 23 \$3.68 36 \$5.04

Problem

31.

A box contains 10 chocolate creams, 7 chocolate covered almonds, and 8 chocolate caramels.
a)      What is the ratio of chocolate caramels to non-caramels?
b)      What chocolate could you eat to change the ratio of chocolate caramels to non-caramels to 1:2?
c)      If you now eat one of each kind of chocolate, what is the new ratio of chocolate caramels to non-caramels?

32.

For a school trip, the ratio of adults to students must be at least 2 adults for every 9 students.

33.

The glide ratio of a plane is the ratio of the horizontal distance travelled to the loss in altitude.
Two small planes start to descend from a height of 540 m.
Plane A has a glide ratio of 16:5 and plane B has a glide ratio of 17:6.
When the planes reach the ground, which plane will have travelled the greater horizontal distance?
How much greater? Show your work.

34.

The 3 ratios AB:DE, BC:EF, and AC:DF of the 2 triangles are equal.
Find the values of x and y. Show your work.

35.

Chris makes a scale drawing of his house. He uses 1 cm to represent 2 m.
a)      What is the ratio of a length in the drawing to the actual length of the house?
b)      What are the dimensions of the house in the scale drawing?

36.

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?

37.

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

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.

Grace and Jim each bought notebooks for school.
Grace got 4 notebooks for \$4.80. Jim got 3 notebooks for \$3.90.
Jim says that he got a better deal. Explain whether or not Jim is correct.

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?