Home->ACT Math

How many irrational numbers are there between 1 and 6 ?

(A)1

(B)3

(C)4

(D)10

(E)Infinitely many

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

By 2002 there were 74,672,120 U.S. citizens who had consumed the brand-name soda. According to this information, approximately how many people were soda consumers, of the brand-name soda or other sodas, in 2002?

(F) 4,700,000,000 (G) 150,000,000 (H) 119,000,000 (J) 47,000,000 (K) 37,500,000

Correct Answer: H

The amplitude of the trigonometric function shown below is defined as the average of the absolute values of the maximum value of f(x) and the minimum value of f(x). The trigonometric function graphed below can be described by the equation f(x) = a sin(bx + c), where a, b, and c are real numbers. Which of the following values describes the amplitude of this function?

(A) 1 (B) 2 (C) 3 (D) π (E) 2π

Correct Answer: C

A line in a plane separates the plane into how many sets of points that do not contain the line?

（A）0 （B） 1 （C） 2 （D） 3 （E） Cannot be determined

Correct Answer: C