In the following figure, the base of the pyramid has the same area as the base of the cylinder, and the cylinder is twice the height of the pyramid. What is the ratio of the volume of the pyramid to the volume of the cylinder?
(A) 1 to 3
(B) 1 to 6
(C) 2 to 3
(D) 3 to 2
(E) 6 to 1
In ΔABC, shown below, the measure of 
b is 40°, the measure of c is 35°, and 
is 27 units long. Which one of the following is an expression of the length, in units, of 
?
(Note:
The law of sines states that for any triangle, the ratio between the
sine of an angle and the length of the side opposite that angle is the
same for all of the interior angles in the triangle.)
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: B
Annette took 10 minutes to walk around a rectangular field. The length of the field is 4 times its width. How long would it take Annette to walk the width of the field?
(A) 1 minute(B) 2 minutes(C) 3 minutes(D) 4 minutes(E) 5 minutes
Correct Answer: A
3x3·2x2y·4x2y is equivalent to:
(A) 9x7y2 (B) 9x12y2 (C) 24x7y2 (D) 24x12y (E) 24x12y2
Correct Answer: C
More ACT Math Exam Questions
- 1What is the least integer value of x that makes the inequality
true? - 2
The circumference of a circle is 50 inches. How many inches long is its radius?
- 3The second term of an arithmetic sequence is -2, and the third term is 8. What is the first term?
(Note: An arithmetic sequence has a common difference between consecutive terms.)
- 4
A recent survey of book critics asked 30 critics how many stars out of a possible 5 they gave to a recent novel from a popular author. The 30 critics' responses are summarized by the histogram below.
What fraction of the critics gave the book a one-star review?
- 5The triangle shown below has exterior angles a, b, and c. What is the sum of those angles?
