An urn contains 7 blue balls, 5 white balls, and 3 red balls. What is the probability that the first ball drawn at random from the urn will NOT be red?
(A)
(B)
(C)
(D)
(E)
A group of die-hard baseball fans has purchased a house that gives them a direct view of home plate, although their view of the rest of the field is largely impeded by the outfield wall. The house is 30 meters tall, and their angle of vision from the top of the building to home plate has a tangent of . What is the horizontal distance, in meters, from home plate to the closest wall of the fans' house?
(F) 35 (G) 32 (H) 25.7 (J) 5 (K) 4.3
Correct Answer: F
For integers x and y such that xy = 14, which of the following is NOT a possible value of x?
(A) 2 (B) 1 (C) -7 (D) -8 (E) -14
Correct Answer: D
When asked the price, in dollars, of his fancy calculator, Albert responded, "If you take the square root of the price, then add the price, the result is 66." What is the price, in dollars, of Albert's calculator?
(F) 169(G) 144(H) 121(J) 13(K) 12
Correct Answer: G
More ACT Math Exam Questions
- 1
Among the following arithmetic operations, which could the emoticon represent given that the equation (8 2)3 - (4 1)2 = 48 is true?
I. Subtraction
II. Multiplication
III. Division
- 2
If , then n =
- 3
During their daily training race, Carl has to stop to tie his shoes. Melissa, whose shoes are velcro, continues to run and gets 20 feet ahead of Carl. Melissa is running at a constant rate of 8 feet per second, and Carl starts running at a constant rate of 9.2 feet per second to catch up to Melissa. Which of the following equations, when solved for s, gives the number of seconds Carl will take to catch up to Melissa?
- 4
If , what is the value of cos a?
- 5
In the figure below, M is on and Q is on The measurements are given in feet. Both NPQM and MQRL are trapezoids. The area, A, of a trapezoid is given by A = h(b1 + b2), where h is the height and b1 and b2 are the lengths of the 2 parallel sides.
9.
What is the area of MQRL, in square feet?