Quiz about Proportional Reasoning Review

Question 1

You buy a new car and drive it 200 miles and use 18 gallons of gas. What is the vehicle's approximate miles per gallon (mpg)?

Accepted Answer

11 mpg

Answer

8 mpg

Answer

14 mpg

Answer

18 mpg

Question 2

Kesha drives 36 miles in 48 minutes. Keeping the same rate, how many miles does she drive in 12 minutes?

Accepted Answer

9

Answer

4

Answer

16

Answer

28

Question 3

Alex can plant 1/4 of his garden in 2/3 hour. If he continues working at this rate, what fraction of Alex's garden can he plant in one hour?

Accepted Answer

3/8

Answer

1/6

Answer

3/7

Answer

10

Question 4

A recipe for 45 biscuits uses 5/2 cups of flour. How many biscuits are made from each cup of flour?

Accepted Answer

18

Answer

10

Answer

90

Answer

112

Question 5

Which of the following tables represents a proportional relationship?

Choose ALL that apply.

Accepted Answer

Option A is correct

Accepted Answer

Option B is correct

Answer

C.

Answer

D.

Question 6

Which of the following graphs do NOT show a proportional relationship?

Choose ALL that apply.

Accepted Answer

Option A is correct

Accepted Answer

Option D is correct

Answer

B.

Answer

C.

Question 7

Mrs. Wong planted 3 tulips for every 4 daffodils. Which of the following could be the total number of tulips and daffodils that Mrs. Wong planted?

Accepted Answer

36 tulips and 48 daffodils

Answer

30 tulips and 44 daffodils

Answer

33 tulips and 34 daffodils

Answer

34 tulips and 33 daffodils

Question 8

Which equation shows a true proportion?

Accepted Answer

$$\frac{5}{7}=\frac{15}{21}$$

Answer

$$\frac{5}{7}=\frac{7}{5}$$

Answer

$$\frac{5}{7\ }=\frac{25}{49}$$

Answer

$$\frac{5}{7}=\frac{7}{9}$$

Question 9

The following graph represents the amount a babysitter charges per hour.

If the data continues with a proportional relationship, how much will the babysitter earn per hour?

Accepted Answer

5

Answer

10

Answer

15

Answer

20

Question 10

The table of values represents a proportional relationship. What is the constant of proportionality in the relationship?

Accepted Answer

3/2

Answer

2/3

Answer

6/9

Answer

1/2

Question 11

The graph shows the cost per gallon of propane. What is the cost of 2 1/2 gallons?

Accepted Answer

$6.00

Answer

$0.80

Answer

$1.25

Answer

$12.00

Question 12

Allen bought 2 notebooks for $8.75 each and one textbook for $74.95. If the sales tax was 7%, the total of Allen's purchase was...?

Accepted Answer

$98.92

Answer

$83.70

Answer

$89.56

Answer

$92.45

Question 13

Randy went to the store and bought a shirt that costs $42.00 before taxes and discount. The shirt was on sale for 20% off. The sales tax was 3%. How many did Randy pay for the shirt after the discount and tax?

Accepted Answer

$34.61

Answer

$34.86

Answer

$46.20

Answer

$51.66

Question 14

Maria took a math test last week. The table shows how many questions she answered correctly and incorrectly. What percent of the questions did Maria answers correctly?

Accepted Answer

85

Answer

65

Answer

70

Answer

75

Answer

80

Question 15

What is 18 percent of 20?

Accepted Answer

90%

Answer

5%

Answer

18%

Answer

20%

Question 16

Julianna bought 3 bottles of nail polish for $5.95 each and 1 nail polish cleaner for $1.50. If the sales tax is 7%, what is the total cost of Julianna's purchase?

Accepted Answer

$20.70

Answer

$19.35

Answer

$20.42

Answer

$23.91

Question 17

The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1:8. If the dimensions of the scale drawing are 3 inches wide by 8.5 inches long, what is the actual area of the mirror?

Accepted Answer

1,632 sq. inches

Answer

204 sq. inches

Answer

544 sq. inches

Answer

708 sq. inches

Question 18

The ratio of 7th grade players to 8th grade players is 4:5. If there is a total 144 players, how many more 8th graders are there than 7th graders?

Accepted Answer

14

Answer

64

Answer

80

Answer

16

Question 19

Jennifer is making a large amount of pudding for a fundraiser. To make 10 pints of pudding, she used 4 cups of milk. Jennifer would need _______ cups of milk to make 3 pints of pudding.

Accepted Answer

1.2

Answer

3.0

Answer

12

Answer

13.3

Question 20

You bought a car for $24,500. You got a 5 year loan for the car. You paid $9,187.50 in simple interest. What was your interest rate?

Remember, I=PRT

Accepted Answer

7.5%

Answer

2.5%

Answer

8%

Answer

5.75%

Question 21

Abram has $600 in a savings account that earns 1.5% annual simple interest. If he does not make any deposits or withdrawals, how much interest will he earn in 3/4 year?

Accepted Answer

$6.75

Answer

$675

Answer

$2.15

Answer

$215

Question 22

The number of leaves on the ground increased 240% during a recent wind storm. If 2,700 leaves were on the ground before the storm, how many were on the ground after the storm?

Accepted Answer

9,180 leaves

Answer

6,480 leaves

Answer

1,025 leaves

Answer

9,111 leaves

Question 23

Margaret was 34 inches tall at 5 years of age. She is now 62 inches tall. To the nearest whole percentage, what is her percent of change?

Remember, $$\frac{new-old}{old}$$

Accepted Answer

82% increase

Answer

82% decrease

Answer

45% decrease

Answer

45% increase

Question 24

A store is having a huge 30% off sale. The sofa you want is priced at $945. The tax is 6%. What is the DISCOUNT (savings)?

Accepted Answer

$283.50

Answer

$130.50

Answer

$332.25

Answer

$357.89

Question 25

Kelly only finished 14 math problems on her quiz. This was 70% of the total number of problems. How many total problems were on the math quiz?

Accepted Answer

20

Answer

16

Answer

18

Answer

72

Question 26

Approximately what percent of students said Math was their favorite class?

Accepted Answer

21%

Answer

17%

Answer

81%

Answer

15%

Question 27

What percent of the model is NOT shaded?

Accepted Answer

40%

Answer

60%

Answer

50%

Answer

20%

Question 28

Susan ran 13 laps around the track. If 4 laps around the track equal 1 mile, which proportion could be used to determine the number of miles Susan ran?

Accepted Answer

$$\frac{4}{1}=\frac{13}{x}$$

Answer

$$\frac{4}{x}=\frac{13}{1}$$

Answer

$$\frac{x}{4}=\frac{13}{1}$$

Question 29

Solve for n.

$$\frac{15}{n}=\frac{2.5}{3}$$

Accepted Answer

18

Answer

112.5

Answer

45

Answer

12.5

Question 30

A bouquet of flowers has 10 carnations and 2 roses. Write the ratio of carnations to roses in simplest form.

Accepted Answer

5 to 1

Answer

5:2

Answer

5 to 10

Answer

10 to 2

Question 31

The ratio of Conservatives to Liberals is 5:2. If there is a total of 245 people, how many more Conservatives are there than Liberals?

Accepted Answer

105

Answer

35

Answer

70

Answer

175

Question 32

Which is the better buy?

18 pens for $6.84

30 pens for $8.40

Accepted Answer

30 pens for $8.40

Answer

18 pens for $6.84

Question 33

Last week you paid $23.00 for 12 gallons of gas at the local gas station. What was the approximate price per gallon or unit rate? (cost to the nearest penny)

Accepted Answer

$1.92

Answer

$1.67

Answer

$2.00

Answer

$0.52

Question 34

Which one of the following would most likely show a proportional relationship?

Accepted Answer

electric bill and amount of electricity used

Answer

color of car and gas mileage

Answer

IQ and shoe size

Answer

peron's school and favorite food

Question 35

The point (8, 4) is on the graph. What does this point represent in terms of this graph?

Accepted Answer

8 jam jars require 4 cups of sugar

Answer

4 cups of sugar are needed per jar of jam

Answer

8 cups of sugar are needed per jar of jam

Answer

4 jam jars require 8 cps of sugar

Proportional Reasoning Review

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