$act math practice test$

In the figure below, ABCD is a rectangle, AB = AE, and E, F, G, and H lie on AD. For all nonzero real numbers a, b, and c, what is the value of a 0 + b 0 + c 0?ġ2. Which of the following is closest to the area, in square millimeters, of the shaded empty space inside the cross-section of the bagel?ġ1. The diameter of the bagel is 144 mm and the width from the inner edge of the bagel to the outer edge is uniformly 56 mm. A thin slice is cut from a bagel, creating the cross-section represented below. Which of the following is the set of real solutions for the equation 9 x + 12 = 3(3 x + 4)?ġ0. Approximately how many cubic inches of liquid can the cup shown below hold if it is filled to the brim and its handle holds no liquid?Ĩ. This formula can be used to determine the capacity of a large coffee mug. The volume of a right circular cone with the bottom removed to create a flat base can be calculated from the following equation: V = π h( R 2 + r 2 + Rr), where h represents the height of the shape and R and r represent its radii as shown in the figure below: After 36 minutes, 18 quarts of water have boiled away.ħ. After 18 minutes, 1 quart of water has boiled away. After 18 minutes, 0.2 quarts of water have boiled away. After 1 minute, 0.2 quarts of water have boiled away. After 0.2 minutes, 1 quart of water has boiled away. According to this equation, which of the following statements is true about this stockpot?į. The water remaining in the stockpot can be approximated by the following equation: y = 18 - 0.2 x, where x is the number of minutes that the pot has been heated for 0 ≤ x ≤ 90, and y is the number of quarts remaining in the pot. A certain 18-quart stockpot is filled completely with water and exposed to a heat source so that the water boils away at a constant rate. What is the length, in coordinate units, of a diagonal of a square in the standard ( x, y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?ĥ. For f( x, y) = 7 x + 9 y, what is the value of f( x, y) when and x = 3?Ĥ. What is the probability that the die will NOT land on a prime-numbered face?ģ. A 5-sided die, which has sides 2, 3, 4, 5, and 6, is thrown. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?Ģ. If both hoses are used, the time it will take to fill the pool can be represented by the following equation:, where T 1 and T 2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and T c represents the time needed for hoses 1 and 2 to fill the pool working together.

Two hoses attached to separate water sources are available to fill a cylindrical swimming pool.

Act math practice test