Name:    Math 8 LG 1 Practice Quiz #2

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.

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.

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

5.

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

6.

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

7.

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

8.

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

9.

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

10.

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

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.

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

13.

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

14.

Write a unit rate for this statement. Round to the nearest hundredth if necessary.
503 km travelled in 8 h
 a. 15.9 km/h b. 62.88 km/h c. 402.4 km/h d. 503 km/h

15.

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

16.

Write 3 different ratios using this diagram.

17.

The ratio of dogs to cats in an animal shelter is 9:14.
Write the ratio of dogs to total number of dogs and cats.

18.

You have 4 red cubes, 5 blue cubes, and 7 green cubes.
Which sets of cubes could you use to show the ratio 7:9?

19.

You have 5 circles and 7 triangles.
What shapes could you remove to show the ratio 5:3?

20.

Write 2 ratios equivalent to the ratio 5:2.

21.

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

22.

The table shows the volumes of water and colour concentrate needed to make a special shade of colour.
 Water (mL) 9 18 27 Colour Concentrate (mL) 2 4 6
a)      What is the ratio of water to colour concentrate?
b)      What is the volume of water needed for 10 mL of colour concentrate?
c)      How much colour concentrate is needed for 90 mL of water?

23.

A plane travelled 2700 km in 9 h. How far did it travel in 1 h?

24.

Elisa earned \$78.00 for 12 h of work. What was her hourly rate of pay?

25.

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

26.

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?

27.

Tanya scored 126 points in 52 games. What was her average number of points per game?

28.

At Sean’s mountain cabin, 10.4 cm of snow fell in 4 h. Assume the snow fell at a constant rate.
a)      How much snow fell in 1 h?
b)      How much snow fell between 8 p.m. and 7 a.m.?

29.

Car A travels 496 km in 8 h.
Car B travels 441 km in 7 h.
Which car has the greater speed? Explain.

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.

A recipe calls for 12 cups of flour, 4 cups of sugar, and 8 cups of milk.
a)      What is the ratio of dry ingredients to liquid?
b)      What fraction of the total ingredients is flour?
c)      What percent of the total ingredients is sugar?

32.

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?

33.

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?

34.

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?

35.

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?

36.

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.

37.

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.

38.

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?

39.

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?

40.

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?