Question 1 of 8
TEKS 1A-1G Easy
A cylindrical water tank has a radius of 3 feet and a height of 8 feet. What is the volume of the tank? (Use π ≈ 3.14)
A 75.36 ft³
B 150.72 ft³
C 226.08 ft³
D 301.44 ft³
Explanation
V = πr²h = 3.14 × 3² × 8 = 3.14 × 9 × 8 = 226.08 cubic feet.
Question 2 of 8
TEKS 1A-1G Easy
A pizza box is 14 inches on each side and 2 inches tall. What is the volume of the box?
A 196 in³
B 280 in³
C 392 in³
D 448 in³
Explanation
V = l × w × h = 14 × 14 × 2 = 392 cubic inches.
Question 3 of 8
TEKS 3A-3D Easy
Point A(3, 2) is reflected across the x-axis. What are the coordinates of the image?
A (−3, 2)
B (3, −2)
C (−3, −2)
D (2, 3)
Explanation
Reflecting across the x-axis negates the y-coordinate: (3, 2) → (3, −2).
Question 4 of 8
TEKS 10A-10B Easy
What shape is the cross section when a plane cuts through a cylinder parallel to its base?
A Rectangle
B Circle
C Ellipse
D Triangle
Explanation
A horizontal slice of a cylinder (parallel to the base) always produces a circle.
Question 5 of 8
TEKS 11A-11D Easy
A regular hexagon has a side length of 6 cm and an apothem of 5.2 cm. What is its area?
A 62.4 cm²
B 78.0 cm²
C 93.6 cm²
D 108.0 cm²
Explanation
Area = ½ × perimeter × apothem = ½ × (6 × 6) × 5.2 = ½ × 36 × 5.2 = 93.6 cm².
Question 6 of 8
TEKS 12A-12E Easy
A central angle of a circle is 90°. What is the measure of the intercepted arc?
A 45°
B 90°
C 180°
D 270°
Explanation
The intercepted arc equals the central angle. Arc = 90°.
Question 7 of 8
TEKS 13A-13E Easy
In how many ways can 5 students be arranged in a line?
Explanation
5! = 5 × 4 × 3 × 2 × 1 = 120.
Question 8 of 8
TEKS 13A-13E Medium
A card is drawn from a standard 52-card deck. What is the probability of drawing a heart or a king?
A 13/52
B 16/52
C 17/52
D 4/52
Explanation
P(heart) = 13/52. P(king) = 4/52. P(heart and king) = 1/52. P(heart or king) = 13/52 + 4/52 − 1/52 = 16/52 = 4/13.