Which of the following geometric figures has at least 1 rotational symmetry and at least 1 reflectional symmetry?
(Note: The angle of rotation for the rotational symmetry must be less than 360°.)
(A)
(B) 
(C) 
(D) 
(E) 
In the figure below, a cone is shown, with dimensions given in centimeters. What is the total surface area of this cone, in square centimeters? (Note: The total surface area of a cone is given by the expression πr2 + πrs, where r is the radius and s is the slant height.)
（A）225π （B） 450π （C） 465π （D） 675π （E） 18,000π
Correct Answer: D
In the figure below, 0 < y < x. One of the angle measures in the triangle is 
. What is 
?
（A）
（B） 
（C） 
（D） 
（E） 
Correct Answer: A
The area of the square in the figure below is 324 square centimeters, and the two small isosceles right triangles are congruent. What is the combined area, in square centimeters, of the 2 small triangles?
(F) 108
(G) 162
(H) 216
(J) 324
(K) 648
Correct Answer: J
More ACT Math Exam Questions
- 1
What is the length, in coordinate units, of a diagonal of a square in the standard (x,y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?
- 2
In the complex numbers, where
, the conjugate of any value a + bi is a– bi.What is the result when you multiply 2 + 7i by its conjugate? - 3Kaylee is planning to purchase a car. She will need to borrow some of
the money and has a chart, shown below, that will help her to
approximate her monthly payment. The chart gives the approximate monthly
payment per $1,000 borrowed.
A
local dealership is having an end-of-the-modelyear clearance sale and
is offering 5% annual interest on new-car loans for 36, 48, or 60
months. The maximum amount that Kaylee can budget for her monthly car
payment is $300. Of the following loan amounts, which one represents the
maximum amount that Kaylee can borrow at 5% annual interest while
staying within her budget? - 4
In the following figure, the circle centered at nhas a radius of 4. What is the area of the shaded region?
- 5
For all real values of y, 3 - 2(4 - y) = ?