DSST Mathematics 3

Question 1

What is the value of log₂(64)?

Accepted Answer

6

Answer

2⁶ = 64, so log₂(64) = 6.

Question 2

In a standard normal distribution, approximately what percentage of data falls within two standard deviations of the mean?

Accepted Answer

95%

Answer

The empirical rule states that about 95% of data falls within ±2 standard deviations.

Question 3

Solve the system: 2x + y = 7 and x - y = 2.

Accepted Answer

x = 3, y = 1

Answer

Adding the equations: 3x = 9, so x = 3; substituting gives y = 1.

Question 4

What is the area of a triangle with vertices at (0,0), (4,0), and (0,3)?

Accepted Answer

6

Answer

The triangle has base 4 and height 3, so area = (1/2)(4)(3) = 6.

Question 5

Which of the following represents a function?

Accepted Answer

y = x²

Answer

y = x² passes the vertical line test; the others produce two y-values for some x-values.

DSST - DANTES Subject Standardized Tests Practice Test