If 0° < θ < 90° and tan θ = 
, what is sin θ + cos θ?
(A)
(B) 
(C) 
(D) 
(E) 
The circumference of a circle is 50 inches. How many inches long is its radius?
(F) 
(G) 
(H) 
(J) 50π
(K) 100π
Correct Answer: F
If a cube has a volume of kcm3and a surface area of 10k cm2, what is its height in centimeters?
(F) 
(G) 
(H) 
(J) 
(K) 
Correct Answer: H
As shown in the figure below, a compass has marks for every 10° and "North" and "South" are the endpoints of a line segment. If the point of the needle of this compass travels 42 mm as it moves in a clockwise direction from "East" to "North," how long is the needle to the nearest tenth of a millimeter?
(A) 6.7 (B) 8.9 (C) 13.4 (D) 14 (E) 17.8
Correct Answer: B
More ACT Math Exam Questions
- 1
In early November in Winnipeg, Manitoba, the temperatures for each of nine consecutive days were -9°C, 3°C, -7°C, 2°C, 5°C, 1°C, 0°C, -8°C, and -7°C. What was the median of the temperatures for these nine days in early November?
- 2
In the figure below, F, G, H, and J are collinear.
, 
, and 
are line segments of equivalent length, and the measure of 
JHK is 120°. What is the degree measure of GFK?
- 3A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
- 4Which one of the following expresses the number of meters that a contestant must travel in a 5-lap race around a circular track with a radius of R meters?
- 5How must -
, - 
, - 
, and - 
be arranged so that they are listed in increasing order?