Quiz about SHSAT Questions on Percentages and Proportional Relationships

Question 1

Which graph is non-proportional?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 2

What is the constant of proportionality (in miles per hour) based on the table?

Accepted Answer

45

Answer

90

Answer

135

Answer

2

Question 3

Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

Accepted Answer

$1.20 per pound

Answer

$1.00 per pound

Answer

$3.60 per pound

Answer

$1.10 per pound

Question 4

What makes a graph proportional?

Accepted Answer

Linear and the line goes through the origin

Answer

Linear

Answer

The line goes through the origin

Answer

Curvy line

Question 5

Which graph is proportional?

Accepted Answer

All of the graphs are proportional

Answer

A

Answer

B

Answer

C and D

Question 6

Which graph is non-proportional?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

What is the unit rate for this graph?

Accepted Answer

50

Answer

100

Answer

25

Answer

200

Question 8

Which color car represents a proportional relationship?

Accepted Answer

White car

Answer

Red car

Answer

Both cars

Answer

None of the cars

Question 9

Which statement matches the graph?

Accepted Answer

Taylor can write 25 words per minute

Answer

Taylor can write 6 words per minute

Answer

Taylor can write 50 words per minute

Answer

Taylor can write 150 words per minute

Question 10

Does this graph represent a proportional relationship?

Accepted Answer

No, because it doesn't pass through the origin.

Answer

Yes, because it doesn't pass through the origin.

Answer

Yes, because it intersects the y axis.

Answer

No, because it intersects the x axis.

Question 11

Why does this graph show a non-proportional relationship?

Accepted Answer

It does not go through the origin

Answer

Because it is proportional

Answer

It goes through the origin

Answer

It is a straight line

Question 12

A line is linear if it forms a straight line. A line that does not form a straight line is non-linear. Which best describes this graph?

Accepted Answer

non-linear and non-proportional

Answer

linear and non-proportional

Answer

linear and proportional

Answer

non-linear and proportional

Question 13

The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.

Accepted Answer

The graph is proportional and non-proportional.

Answer

The graph is proportional.

Answer

The graph is a unit rate and a percentage

Answer

The graph is non-proportional.

Question 14

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality?

Accepted Answer

$9.25

Answer

$37

Answer

$64.75

Answer

$18.50

Question 15

Write an equation for this situation.

Accepted Answer

y=19.25x

Answer

y=9.75x

Answer

y=19x

Answer

y=9.5x

Question 16

Write an equation for this relationship.

Accepted Answer

y=21.98x

Answer

y=10.99x

Answer

y=22.98x

Answer

y=22x

Question 17

What are the main characteristics of a proportional relationship between two variables?

Accepted Answer

They are linear and also pass through the origin.

Answer

They pass through the origin.

Answer

They are curved

Answer

They have a negative relationship and pass through the origin.

Question 18

Which graph is non-proportional?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 19

The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality the relates cost in dollars, y, to the number of pounds of grapes, x?

Accepted Answer

6.09

Answer

20.36

Answer

8.12

Answer

28.36

Question 20

Which color car represents a proportional relationship?

Accepted Answer

White car

Answer

Red car

Answer

Both cars

Answer

None of the cars

Question 21

Write an equation for this relationship.

Accepted Answer

y=1/4x

Answer

y=4x

Answer

y=1/8x

Answer

y=8x

Question 22

Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

Accepted Answer

$1.20 per pound

Answer

$1.00 per pound

Answer

$3.60 per pound

Answer

$1.10 per pound

Question 23

What is the ratio of red apples to green apples

Accepted Answer

4 red apples to 3 green apples

Answer

7 apples to 3 green

Answer

4 red apples to 7 apples

Answer

3 green apples to 4 red apples

Question 24

Which is NOT equivalent to 3:5?

Accepted Answer

21:28

Answer

15:25

Answer

9:15

Answer

30:50

Question 25

Solve for x

Accepted Answer

x = 10

Answer

x = 1/10

Answer

x = 4

Answer

x = 5

Question 26

Solve for x

Accepted Answer

x = 26

Answer

x = 16

Answer

x = 28

Answer

x = 1/26

Question 27

A bird flies 35 meters in 10 seconds.  If it keeps flying at the same rate, how long will it take it to fly 14 more meters?

Accepted Answer

x =  4 seconds

Answer

x = 49 seconds

Answer

x = 4 meters

Answer

x = 49 meters

Question 28

Solve the proportion.

Accepted Answer

k=5

Answer

k=3.3333333

Answer

k=60

Answer

k=90

Question 29

Solve the proportion.

Accepted Answer

n=8

Answer

n=6

Answer

n=24

Answer

n=7

Question 30

Find the slope of the line.

Accepted Answer

-1

Answer

-2

Answer

2

Answer

1

Question 31

At what rate did the rain fall?

Accepted Answer

2 cm per hour

Answer

¹/₄ cm per hour

Answer

¹/₂ cm per hour

Answer

4 cm per hour

Question 32

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 33

Find the slope of the line that passes through
(10, 1) and (5, 2)

Accepted Answer

-1/5

Answer

1/5

Answer

5

Answer

-5

Question 34

Find the slope from the table:

Accepted Answer

5/-2

Answer

-2/5

Answer

5/2

Answer

2/5

Question 35

change 25% to a decimal

Accepted Answer

.25

Answer

.2

Answer

2.5

Answer

.025

Question 36

change .3 to a percent

Accepted Answer

30%

Answer

3%

Answer

300%

Answer

.30%

Question 37

Find 25% of 200

Accepted Answer

50

Answer

25

Answer

100

Answer

5

Question 38

find 50% of 180

Accepted Answer

90

Answer

9

Answer

.9

Answer

900

Question 39

find 17% of 23

Accepted Answer

3.91

Answer

.391

Answer

39.1

Answer

391

Question 40

change 3.41 to a percent

Accepted Answer

341%

Answer

34.1%

Answer

.341%

Answer

.0341%

Question 41

What is 17% of 90

Accepted Answer

15.3

Answer

45

Answer

14.3

Answer

12.4

Answer

12.5

Question 42

30 is 20% of what number

Accepted Answer

150

Answer

234

Answer

1123

Answer

130

Answer

232

Question 43

What number is 70% of 45

Accepted Answer

32

Answer

12

Answer

23

Answer

33

Answer

23

Question 44

What percent of 30 is 45

Accepted Answer

150%

Answer

160%

Answer

543%

Answer

547%

Answer

324%

Question 45

What percent of 160 is 62

Accepted Answer

38.75%

Answer

39.74%

Answer

45.75%

Answer

38.76%

Answer

16.43%

Question 46

What number is 45% of 580

Accepted Answer

261

Answer

231

Answer

121

Answer

264

Answer

597

Question 47

320% of 69 is what number

Accepted Answer

220.80

Answer

232.23

Answer

232.93

Answer

220.90

Answer

38.36

Question 48

If the tax rate is 7.5%, how much would you pay in taxes on a $199.00 phone

Accepted Answer

14.93

Answer

14.76

Answer

25.67

Answer

36.56

Answer

24.67

Question 49

A price is to be increased by 15%. What do you need to multiply by?

Accepted Answer

1.15

Answer

0.15

Answer

0.85

Answer

15

Question 50

A value is to be decreased by 8%. What should you multiply by?

Accepted Answer

0.92

Answer

0.8

Answer

0.2

Answer

1.08

Question 51

A value is to be increased by 3%. What should you multiply by?

Accepted Answer

1.03

Answer

1.3

Answer

0.3

Answer

0.97

Question 52

A value is to be decreased by 2.5%. What should you multiply by?

Accepted Answer

0.975

Answer

2.5

Answer

0.25

Answer

0.75

Question 53

A value is to be increased by 50%. What should you multiply by?

Accepted Answer

1.5

Answer

50

Answer

0.5

Answer

1.05

Question 54

A survey of 1,000 people was done by the New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?

Accepted Answer

200

Answer

400

Answer

600

Answer

800

Question 55

Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How many students do not take the bus to school?

Accepted Answer

30

Answer

15

Answer

20

Answer

35

Question 56

Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?

Accepted Answer

80%

Answer

20%

Answer

40%

Answer

60%

Question 57

The wholesale price of an item is $25. If the markup on the item is 10%, what will be the selling price?  (SOL 8.3a)

Accepted Answer

$27.50

Answer

$2.50

Answer

$22.50

Answer

$35.00

Question 58

An item that costs $65 is selling for a discount of 40%. What is the amount of the discount? (SOL 8.3a)

Accepted Answer

$26.00

Answer

$6.00

Answer

$20.40

Answer

$0.20

Question 59

Elijah spent $42.50 at dinner with his family.  He wants to leave the server a 15% tip.  What is the total cost of his bill?  (SOL 8.3a)

Accepted Answer

$48.88

Answer

$6.38

Answer

$36.12

Answer

$57.20

Question 60

An item selling for $11 is discounted 25%. What is the sale price of the item?  (SOL 8.3a)

Accepted Answer

$8.25

Answer

$2.75

Answer

$13.75

Answer

$14.00

Question 61

Tyler bought a  pair of yeezys with a 25% markup. If the yeezys cost $282, how much would they cost.

Accepted Answer

$352.50

Answer

$3000

Answer

$103

Answer

$1378

Question 62

The deer population is estimated to be 17,600 in northern Illinois, but an actual count was 21,300. What is the percent error?

Accepted Answer

17.4%

Answer

21%

Answer

17.37%

Answer

21.02%

Question 63

Romy's measurements: 6.02 m, 6. 04 m, 6.03 m
Actual Value: 6.02 m
How would you define her measurements?

Accepted Answer

accurate and precise

Answer

accurate

Answer

precise

Answer

neither

Question 64

The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?

Accepted Answer

20%

Answer

16.67%

Answer

2500%

Answer

80%

SHSAT Questions on Percentages and Proportional Relationships

130 questions

Which graph is non-proportional?

What is the constant of proportionality (in miles per hour) based on the table?

Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

What makes a graph proportional?

Which graph is proportional?

Which graph is non-proportional?

What is the unit rate for this graph?

Which color car represents a proportional relationship?

Which statement matches the graph?

Does this graph represent a proportional relationship?

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