AASA 8th Grade Math 2 — Questions and Answers
Question 1: What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)
- 94.2 cu cm
- 188.4 cu cm
- 282.6 cu cm (Correct answer)
- 942 cu cm
Correct answer: 282.6 cu cm
V = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic centimeters.
Question 2: Solve the system: y = x + 2 and y = 3x − 4. What is x?
- x = 1
- x = 2
- x = 3 (Correct answer)
- x = 4
Correct answer: x = 3
Setting equal: x + 2 = 3x − 4 → 6 = 2x → x = 3.
Question 3: What is 5² × 5³?
- 5⁵ (Correct answer)
- 5⁶
- 25⁵
- 10⁵
Correct answer: 5⁵
When multiplying powers with the same base, add exponents: 5² × 5³ = 5⁵.
Question 4: A triangle has angles measuring 40° and 75°. What is the third angle?
- 55°
- 65° (Correct answer)
- 75°
- 85°
Correct answer: 65°
Triangle angles sum to 180°: 180 − 40 − 75 = 65°.
Question 5: Which transformation preserves the shape and size of a figure?
- Dilation
- Rotation (Correct answer)
- Stretch
- Shear
Correct answer: Rotation
Rotation is a rigid transformation that preserves both shape and size.
Question 6: What is the mean of the data set: 4, 8, 6, 10, 12?
- 7
- 8 (Correct answer)
- 9
- 10
Correct answer: 8
(4 + 8 + 6 + 10 + 12) ÷ 5 = 40 ÷ 5 = 8.
What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)