CAASPP Measurement and Geometry 5 — Questions and Answers
Question 1: A trapezoid has bases of 8 cm and 12 cm, and a height of 5 cm. What is its area?
- 100 cm²
- 50 cm² (Correct answer)
- 40 cm²
- 25 cm²
Correct answer: 50 cm²
Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = ½ × 20 × 5 = 50 cm².
Question 2: A triangle is reflected across the y-axis. The original triangle has a vertex at (4, −2). Where is the corresponding vertex after reflection?
- (−4, 2)
- (−4, −2) (Correct answer)
- (4, 2)
- (2, −4)
Correct answer: (−4, −2)
Reflecting across the y-axis changes the sign of the x-coordinate only: (4, −2) becomes (−4, −2).
Question 3: A rectangular room is 12 feet by 10 feet. How many square yards of carpet are needed to cover the floor? (1 yard = 3 feet)
- 40 yd²
- 13.33 yd² (Correct answer)
- 120 yd²
- 1080 yd²
Correct answer: 13.33 yd²
Room area = 12 × 10 = 120 ft²; converting: 120 ÷ 9 = 13.33 yd² (since 1 yd² = 9 ft²).
Question 4: Which set of side lengths could form a right triangle?
- 5, 10, 12
- 3, 4, 6
- 5, 12, 13 (Correct answer)
- 7, 8, 10
Correct answer: 5, 12, 13
5² + 12² = 25 + 144 = 169 = 13², confirming (5, 12, 13) is a Pythagorean triple.
Question 5: A shape is dilated by a scale factor of 3. If the original shape had an area of 8 cm², what is the area of the dilated shape?
- 24 cm²
- 72 cm² (Correct answer)
- 11 cm²
- 27 cm²
Correct answer: 72 cm²
When a shape is dilated by scale factor k, the area changes by k², so new area = 8 × 3² = 8 × 9 = 72 cm².
Question 6: A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π ≈ 3.14)
- 452.16 cm³
- 150.72 cm³ (Correct answer)
- 113.04 cm³
- 37.68 cm³
Correct answer: 150.72 cm³
Volume of a cone = (1/3) × π × r² × h = (1/3) × 3.14 × 16 × 9 = 150.72 cm³.
Question 7: Two supplementary angles are in a ratio of 2:3. What are the two angle measures?
- 72° and 108° (Correct answer)
- 60° and 120°
- 45° and 135°
- 36° and 54°
Correct answer: 72° and 108°
Supplementary angles sum to 180°; with ratio 2:3, the parts are 2x + 3x = 180°, so x = 36°, giving 72° and 108°.
CAASPP Measurement and Geometry 5
A trapezoid has bases of 8 cm and 12 cm, and a height of 5 cm.
What is its area?