If you plot the equation x2+ (y– 2)2= 4 as a circle on a standard xy-graph, what is the area of the circle’s region that will lie in Quadrant 1, as shown in the following figure?
(A) 0
(B) π
(C) 2π
(D) 4π
(E) 16π
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） 
Correct Answer: C
A poor, frustrated artist named Fresco created a plan to make money. He collected trash, repurposed it into sculptures, then asked various celebrities to write and paint on these trash objects, which he then sold on his own as modern high art. The chart below separately shows the cost and revenue of his plan. The linear cost function, C(x), represents the total money spent to make and market the art, while the linear revenue function, R(x), shows the amount of money he has made in sculpture sales.
Fresco initially spent money promoting the project in the media. He also had to pay the celebrities to participate. After 6 months, Fresco had created and sold x number of trash sculptures and finally broke even: he hadn't made or lost any money. How many sculptures did Fresco sell in his first 6 months of the project?
(F) 3 (G) 5 (H) 7 (J) 10 (K) 15
Correct Answer: G
For the rectangle shown in the standard (x,y) coordinate plane below, what are the coordinates of the unlabeled vertex?
(A) (4,5)
(B) (4,7)
(C) 
(D) (6,7)
(E) (10,4)
Correct Answer: D
More ACT Math Exam Questions
- 1Which of the following inequalities specifies precisely the real values of x that are solutions to the inequality -5 < -3x - 7?
- 2The 7 consecutive integers below add up to 511, x - 2, x - 1, x, x + 1, x + 2, x + 3, and x + 4. What is the value of x?
- 3
If a(x) = b(x) + c(x), where b(x) = 3x2 - 8x + 113 and c(x) = - 3x2 + 18x + 7 and x is an integer, then a(x) is always divisible by which of the following?
- 4
Two girls walk home from school. Starting from school, Susan walks north 2 blocks and then west 8 blocks, while Cindy walks east 3 blocks and then south 1 block. Approximately how many blocks apart are the girls' homes?
- 5
Martha picked out a pair of shoes she wanted and brought them to the front of the store to pay. The cashier told her that the shoes were on sale for 30% off the original price. She rang up the sale price plus 5% sales tax, so Martha ended up paying $58.80 for the shoes. What was the original price for the shoes?