AzM2 Grade 8 Math 5 — Questions and Answers
Question 1: What is the median of the data set: 7, 3, 9, 1, 5?
- 5 (Correct answer)
- 7
- 3
- 9
Correct answer: 5
Arranged in order: 1, 3, 5, 7, 9 — the middle value is 5.
Question 2: A car travels 150 miles in 3 hours. At the same rate, how far will it travel in 5 hours?
- 200 miles
- 250 miles (Correct answer)
- 300 miles
- 350 miles
Correct answer: 250 miles
Rate = 150 ÷ 3 = 50 mph; 50 × 5 = 250 miles.
Question 3: Which inequality represents 'x is at most 8'?
- x > 8
- x ≥ 8
- x < 8
- x ≤ 8 (Correct answer)
Correct answer: x ≤ 8
'At most 8' means x cannot exceed 8, so x ≤ 8.
Question 4: What is the surface area of a cube with side length 5 cm?
- 25 cm²
- 75 cm²
- 125 cm²
- 150 cm² (Correct answer)
Correct answer: 150 cm²
A cube has 6 faces; SA = 6 × 5² = 6 × 25 = 150 cm².
Question 5: Which of the following shows the Distributive Property?
- 3 + (4 + 5) = (3 + 4) + 5
- 3(4 + 5) = 12 + 15 (Correct answer)
- 3 × 4 = 4 × 3
- 3 + 0 = 3
Correct answer: 3(4 + 5) = 12 + 15
The Distributive Property states a(b + c) = ab + ac; 3(4+5) = 12+15 demonstrates this.
Question 6: On a coordinate plane, point A is at (−3, 4). What is its distance from the origin?
- 5 (Correct answer)
- 7
- 1
- 25
Correct answer: 5
Distance = √((-3)² + 4²) = √(9 + 16) = √25 = 5.
Question 7: Which expression is equivalent to (x + 3)²?
- x² + 9
- x² + 3x + 9
- x² + 6x + 9 (Correct answer)
- x² + 6x + 3
Correct answer: x² + 6x + 9
(x + 3)² = x² + 2(3)(x) + 3² = x² + 6x + 9.
What is the median of the data set: 7, 3, 9, 1, 5?