CAASPP Math Practice Test (Gr11) 3 — Questions and Answers
Question 1: A polynomial p(x) = x³ - 2x² - 5x + 6. Which is a factor of p(x)?
- (x - 3) (Correct answer)
- (x + 3)
- (x - 4)
- (x + 2)
Correct answer: (x - 3)
p(3) = 27 - 18 - 15 + 6 = 0, so by the Factor Theorem, (x-3) is a factor.
Question 2: What is the average rate of change of f(x) = x² + 3x from x = 1 to x = 4?
- 5
- 6
- 8 (Correct answer)
- 9
Correct answer: 8
f(4) = 16+12 = 28, f(1) = 1+3 = 4; average rate = (28-4)/(4-1) = 24/3 = 8.
Question 3: In a triangle, angles are in the ratio 2:3:7. What is the measure of the largest angle?
- 60°
- 90°
- 105°
- 126° (Correct answer)
Correct answer: 126°
Sum of ratios = 12 parts; each part = 180/12 = 15°; largest angle = 7 × 15° = 105°.
Question 4: Which is the simplified form of (2x³y²)³ / (4x²y)?
- 2x⁷y⁵ (Correct answer)
- 2x⁵y⁴
- 2x⁷y⁴
- 4x⁷y⁵
Correct answer: 2x⁷y⁵
Numerator: 8x⁹y⁶; divide by 4x²y → 2x⁷y⁵.
Question 5: A set of data has mean 50 and standard deviation 8. A data value of 66 has a z-score of:
- 1.5
- 2.0 (Correct answer)
- 2.5
- 3.0
Correct answer: 2.0
z = (66 - 50) / 8 = 16/8 = 2.0.
Question 6: Which equation represents a parabola with vertex at (2, -3) opening upward?
- y = (x-2)² + 3
- y = (x+2)² - 3
- y = (x-2)² - 3 (Correct answer)
- y = -(x-2)² - 3
Correct answer: y = (x-2)² - 3
Vertex form is y = a(x-h)² + k with h=2, k=-3 and a>0 for upward opening: y = (x-2)² - 3.
Question 7: If log₂(x) = 5, what is the value of log₂(x²)?
- 10 (Correct answer)
- 25
- 32
- 64
Correct answer: 10
log₂(x²) = 2·log₂(x) = 2·5 = 10 by the power rule of logarithms.
CAASPP Math Practice Test (Gr11) 3
A polynomial p(x) = x³ - 2x² - 5x + 6.
Which is a factor of p(x)?