DSST Mathematics 3 — Questions and Answers
Question 1: What is the value of log₂(64)?
- 6 (Correct answer)
- 8
- 4
- 32
Correct answer: 6
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?
- 95% (Correct answer)
- 68%
- 99.7%
- 50%
Correct answer: 95%
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.
- x = 3, y = 1 (Correct answer)
- x = 2, y = 3
- x = 1, y = 5
- x = 4, y = -1
Correct answer: x = 3, y = 1
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)?
- 6 (Correct answer)
- 12
- 7
- 3.5
Correct answer: 6
The triangle has base 4 and height 3, so area = (1/2)(4)(3) = 6.
Question 5: Which of the following represents a function?
- y = x² (Correct answer)
- x = y²
- x² + y² = 9
- x = |y|
Correct answer: y = x²
y = x² passes the vertical line test; the others produce two y-values for some x-values.
Question 6: What is the value of the integral ∫₀² (2x + 1) dx?
- 6 (Correct answer)
- 4
- 8
- 3
Correct answer: 6
∫(2x + 1)dx = x² + x; evaluating from 0 to 2 gives (4 + 2) - 0 = 6.
Question 7: How many ways can 5 books be arranged on a shelf?
- 120 (Correct answer)
- 25
- 60
- 10
Correct answer: 120
The number of permutations of 5 distinct items is 5! = 120.
DSST Mathematics 3
What is the value of log₂(64)?