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
In the standard (x,y) coordinate plane, point A is located at (w,w + 5) and point B is located at (4w,w-- 5). In coordinate units, what is the distance between A and B?
(A) (B) (C) 9w2 + 100 (D) (E) |w|
Correct Answer: B
In the figure shown below, bisects BAD, and bisects CAE What is the measure of CAD?
(A)30° (B) 45° (C) 60° (D) 90° (E) Cannot be determined from the given information
Correct Answer: C
Carla has 5 times as many notebooks as her brother does. If they have 42 notebooks between them, how many notebooks does Carla have?
(F) 30 (G) 33 (H) 35 (J) 37 (K) 47
Correct Answer: H
More ACT Math Exam Questions
- 1
For the rectangle shown in the standard (x,y) coordinate plane below, what are the coordinates of the unlabeled vertex?
- 2
The endpoints of the diameter of a circle O are A and C. In the standard (x,y) coordinate plane, A is at (4,3) and C is at (-9,-2). What is the y-coordinate of the center of the circle?
- 3
If g(x) is a transformation that moves f(x) three units to the right and then reflects it across the x-axis, then g(x) =
- 4What ACT score is needed for Yale?
- 5
What is the area of the shaded region in the following figure?