CAASPP Math Practice Test (Gr11) 4 — Questions and Answers
Question 1: A right triangle has legs of length 7 and 24. What is the length of the hypotenuse?
- 25 (Correct answer)
- 26
- 29
- 31
Correct answer: 25
By the Pythagorean theorem: √(7² + 24²) = √(49 + 576) = √625 = 25.
Question 2: Which of the following is the inverse function of f(x) = (x - 3) / 2?
- f⁻¹(x) = 2x - 3
- f⁻¹(x) = 2x + 3 (Correct answer)
- f⁻¹(x) = (x+3)/2
- f⁻¹(x) = x/2 + 3
Correct answer: f⁻¹(x) = 2x + 3
Set y = (x-3)/2, swap x and y: x = (y-3)/2, solve for y: y = 2x + 3.
Question 3: A box contains 5 red and 3 blue marbles. Two are drawn without replacement. What is the probability both are red?
- 5/14 (Correct answer)
- 25/64
- 5/56
- 10/56
Correct answer: 5/14
P = (5/8) × (4/7) = 20/56 = 5/14.
Question 4: What is the domain of f(x) = √(2x - 8)?
- x ≥ 4 (Correct answer)
- x > 4
- x ≥ 8
- x ≤ 4
Correct answer: x ≥ 4
The radicand must be non-negative: 2x - 8 ≥ 0 → x ≥ 4.
Question 5: A geometric sequence has first term 6 and common ratio 1/3. What is the sum of the infinite series?
- 6
- 9 (Correct answer)
- 12
- 18
Correct answer: 9
For an infinite geometric series with |r| < 1: S = a/(1-r) = 6/(1 - 1/3) = 6/(2/3) = 9.
Question 6: In the unit circle, what is the value of sin(210°)?
- √3/2
- -√3/2
- -1/2 (Correct answer)
- 1/2
Correct answer: -1/2
210° is in the third quadrant; reference angle is 30°, and sine is negative there, so sin(210°) = -1/2.
Question 7: Which inequality represents the set of x values where the graph of y = x² - 4x - 5 is below the x-axis?
- -1 < x < 5 (Correct answer)
- x < -1 or x > 5
- x < 1 or x > 5
- -5 < x < 1
Correct answer: -1 < x < 5
Factor: (x-5)(x+1) < 0; the parabola is below the x-axis between its roots x = -1 and x = 5.
CAASPP Math Practice Test (Gr11) 4
A right triangle has legs of length 7 and 24.
What is the length of the hypotenuse?