ACT Math Practice Test 29

If the value, to the nearest thousandth, of cos α is −0.385, which of the following could be true about α?

If c is directly proportional to s² and c = $\frac{7}{16}$ when s = ¹⁄₄, what is the value of s when c = 175?

If x < y, then |x − y| is equivalent to which of the following?

A classroom has 10 tables that will seat up to 4 students each. If 20 students are seated at tables, and NO tables are empty, what is the greatest possible number of tables that could be filled with students?

A square and a regular pentagon have equal perimeters. If the pentagon has sides of length 12, what is the area of the square?

If |6−2x|>9, which of the following is a possible value of x?

What rational number is halfway between ¹⁄₆ and ¹⁄₂?

In 3 fair coin tosses, where the 2 outcomes, heads and tails, are equally likely, what is the probability of obtaining exactly 2 heads?

How many different integer values of a satisfy the inequality $\frac{1}{11}$ < ²⁄_a < ¹⁄₈?

The sum of an infinite geometric sequence series with first term x and common ratio y<1 is given by [latex]\frac{x}{(1 − y)}[/latex]. The sum of a given infinite geometric series is 200, and the common ratio is 0.15. What is the second term of this series?

Amy’s best marathon time decreased by 10% from 2005 to 2006 and by 20% from 2006 to 2007. By what percent did her best marathon time decrease from 2005 to 2007?

In the complex numbers, where i² = −1, $\frac{1}{(1 + i)}\times \frac{(1 + i)}{(1 + i)}$ =?

If f (a) = a² − 2, then f (a + b) =?

For every positive 2-digit number, a, with units digit x and tens digit y, let b be the 2-digit number formed by reversing the digits of a. Which of the following expressions is equivalent to a − b?

If log_ax = n and log_ay = p, then log_a(xy)2 =?

An integer from 10 through 99, inclusive, is to be chosen at random. What is the probability that the number chosen will have 0 as at least 1 digit?