CAHSEE Math 4 — Questions and Answers
Question 1: What is the volume of a rectangular prism with length 5 m, width 3 m, and height 4 m?
- 47 m³
- 60 m³ (Correct answer)
- 72 m³
- 80 m³
Correct answer: 60 m³
Volume = l × w × h = 5 × 3 × 4 = 60 m³.
Question 2: Which expression is equivalent to x² − 9?
- (x − 3)²
- (x + 3)²
- (x − 3)(x + 3) (Correct answer)
- (x − 9)(x + 1)
Correct answer: (x − 3)(x + 3)
x² − 9 is a difference of squares: (x − 3)(x + 3).
Question 3: On a number line, which point is farthest from zero?
- −8 (Correct answer)
- 6
- −5
- 7
Correct answer: −8
The absolute value of −8 is 8, which is the largest among |−8|, |6|, |−5|, and |7|.
Question 4: A data set is: 4, 7, 9, 4, 6, 10, 4. What is the mode?
- 4 (Correct answer)
- 6
- 7
- 9
Correct answer: 4
The mode is 4 because it appears three times, more than any other value.
Question 5: Two lines are parallel. One line has a slope of 3. What is the slope of the other line?
- −3
- −1/3
- 1/3
- 3 (Correct answer)
Correct answer: 3
Parallel lines have equal slopes, so the other line also has a slope of 3.
Question 6: Solve: |2x − 4| = 10
- x = 3 or x = 7
- x = 7 or x = −3 (Correct answer)
- x = −3 or x = 3
- x = 5 or x = −5
Correct answer: x = 7 or x = −3
2x − 4 = 10 gives x = 7, and 2x − 4 = −10 gives x = −3.
Question 7: A science class recorded temperatures (°F) for one week: 68, 72, 65, 70, 73, 69, 71. What is the median temperature?
- 69°F
- 70°F (Correct answer)
- 71°F
- 72°F
Correct answer: 70°F
Ordered: 65, 68, 69, 70, 71, 72, 73 — the middle (4th) value is 70°F.
CAHSEE Math 4
What is the volume of a rectangular prism with length 5 m, width 3 m, and height 4 m?