AzM2 Grade 8 Math 4 — Questions and Answers
Question 1: A cone has radius 4 cm and height 9 cm. What is its volume? (Use π ≈ 3.14)
- 150.72 cm³ (Correct answer)
- 452.16 cm³
- 301.44 cm³
- 200.96 cm³
Correct answer: 150.72 cm³
V = (1/3)πr²h = (1/3)(3.14)(16)(9) = 150.72 cm³.
Question 2: Which number is equivalent to 2³ × 2⁴?
- 2⁷ (Correct answer)
- 2¹²
- 4⁷
- 2⁶
Correct answer: 2⁷
When multiplying same bases, add exponents: 2³ × 2⁴ = 2⁷.
Question 3: A line has slope −3 and passes through (0, 5). Which equation represents this line?
- y = 5x − 3
- y = −3x + 5 (Correct answer)
- y = 3x + 5
- y = −5x + 3
Correct answer: y = −3x + 5
Using slope-intercept form y = mx + b with m = −3 and b = 5: y = −3x + 5.
Question 4: What is 0.00045 written in scientific notation?
- 4.5 × 10⁻³
- 4.5 × 10⁻⁴ (Correct answer)
- 45 × 10⁻⁵
- 4.5 × 10⁴
Correct answer: 4.5 × 10⁻⁴
Moving the decimal 4 places right gives 4.5 × 10⁻⁴.
Question 5: Which of the following best describes the number √(−9)?
- A rational number
- An irrational number
- A whole number
- Not a real number (Correct answer)
Correct answer: Not a real number
The square root of a negative number is not defined in the real number system.
Question 6: Two parallel lines are cut by a transversal. Which angle pair is always equal?
- Co-interior angles
- Supplementary angles
- Alternate interior angles (Correct answer)
- Adjacent angles
Correct answer: Alternate interior angles
Alternate interior angles are congruent when lines are parallel.
Question 7: A function is defined by f(x) = 4x − 7. What is f(3)?
- 5 (Correct answer)
- 12
- 19
- 1
Correct answer: 5
f(3) = 4(3) − 7 = 12 − 7 = 5.
AzM2 Grade 8 Math 4
A cone has radius 4 cm and height 9 cm.
What is its volume? (Use π ≈ 3.14)