Free DSST Math for Liberal Arts Practice Test (2026)

Question 1

What is the negation of the statement "All students passed the quiz"?

Accepted Answer

At least one student did not pass the quiz.

Answer

No student passed the quiz.

Answer

Some students passed the quiz.

Answer

All students failed the quiz.

Question 2

Two angles are supplementary. One angle measures 30° more than twice the other. What is the measure of the larger angle?

Accepted Answer

130°

Answer

50°

Answer

70°

Answer

110°

Question 3

A $20,000 car loan is repaid in equal monthly payments over 5 years at an annual interest rate of 6%, compounded monthly. To the nearest cent, what is the monthly payment?

Accepted Answer

$386.66

Answer

$433.33

Answer

$333.33

Answer

$100.00

Question 4

A cylindrical can has a diameter of 6 cm and a height of 10 cm. What is its volume?

Accepted Answer

90π cm³

Answer

360π cm³

Answer

60π cm³

Answer

30π cm³

Question 5

Which of the following numbers is irrational?

Accepted Answer

√45

Answer

√(2/8)

Answer

0.121212… (the digits 12 repeat forever)

Answer

−22/7

Question 6

Two cards are drawn from a standard 52-card deck without replacement. What is the probability that both are hearts?

Accepted Answer

1/17

Answer

1/16

Answer

1/8

Answer

1/26

Question 7

$2,000 is deposited at 5% interest compounded annually, with no further deposits or withdrawals. After how many full years will the balance first exceed $4,000?

Accepted Answer

15

Answer

14

Answer

20

Answer

12

Question 8

What is the median of the data set 15, 8, 21, 4, 10, 8?

Accepted Answer

9

Answer

8

Answer

11

Answer

12.5

Question 9

A coffee shop sold 120 drinks for a total of $460. Small drinks cost $3 and large drinks cost $5. How many small drinks were sold?

Accepted Answer

70

Answer

50

Answer

60

Answer

92

Question 10

$5,000 is invested at an annual interest rate of 4%, compounded quarterly. To the nearest cent, what is it worth after 3 years?

Accepted Answer

$5,634.13

Answer

$5,600.00

Answer

$5,624.32

Answer

$8,005.16

Question 11

Which point is a solution of the system y ≥ 2x − 1 and x + y < 4?

Accepted Answer

(0, 3)

Answer

(1, 3)

Answer

(2, 1)

Answer

(3, 0)

Question 12

Simplify (4.8 × 10⁷) ÷ (1.6 × 10⁻³) and write the result in scientific notation.

Accepted Answer

3 × 10¹⁰

Answer

3 × 10⁴

Answer

3.2 × 10⁴

Answer

3 × 10⁻¹⁰

Question 13

What is the equation of the line through the points (2, 7) and (6, −1)?

Accepted Answer

y = −2x + 11

Answer

y = 2x + 3

Answer

y = −(1/2)x + 8

Answer

y = −2x + 3

Question 14

What is the value of log₂ 48 − log₂ 3?

Accepted Answer

4

Answer

16

Answer

log₂ 45

Answer

2

Question 15

A car travels at 72 kilometers per hour. What is its speed in meters per second?

Accepted Answer

20 m/s

Answer

259.2 m/s

Answer

1.2 m/s

Answer

0.02 m/s

Question 16

Which statement is logically equivalent to "If it rains, then the game is canceled"?

Accepted Answer

If the game is not canceled, then it did not rain.

Answer

If the game is canceled, then it rained.

Answer

If it does not rain, then the game is not canceled.

Answer

It rains and the game is canceled.

Question 17

A car uses 12 gallons of gas to travel 330 miles. At the same rate, how many gallons does it need to travel 550 miles?

Accepted Answer

20

Answer

18

Answer

22

Answer

25

Question 18

A committee of 2 men and 2 women is chosen from 6 men and 5 women. How many different committees are possible?

Accepted Answer

150

Answer

330

Answer

25

Answer

600

Question 19

A stock trades at $80 per share and pays an annual dividend of $2.40 per share. What is its dividend yield?

Accepted Answer

3%

Answer

2.4%

Answer

0.3%

Answer

33.3%

Question 20

The probability that an event occurs is 3/8. What are the odds in favor of the event?

Accepted Answer

3 to 5

Answer

3 to 8

Answer

5 to 3

Answer

8 to 3

Question 21

What is the least common multiple of 84 and 90?

Accepted Answer

1,260

Answer

7,560

Answer

6

Answer

630

Question 22

A ball is thrown upward from a platform, and its height in feet after t seconds is h(t) = −16t² + 64t + 80. After how many seconds does the ball hit the ground?

Accepted Answer

5 seconds

Answer

2 seconds

Answer

4 seconds

Answer

1 second

Question 23

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5}. What is A′ ∩ B?

Accepted Answer

{1, 3, 5}

Answer

{7, 9}

Answer

{2, 4}

Answer

{1, 3, 5, 7, 9}

Question 24

Test scores are normally distributed with a mean of 70 and a standard deviation of 8. By the empirical rule (68–95–99.7), about what percent of scores fall between 62 and 86?

Accepted Answer

81.5%

Answer

68%

Answer

95%

Answer

47.5%

Question 25

In a group of 60 students, 35 take biology, 28 take chemistry, and 12 take both. How many students take neither course?

Accepted Answer

9

Answer

21

Answer

12

Answer

3

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