Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $35.19. How much did the meal cost without the tip?
(A) $28.98
(B) $29.91
(C) $30.15
(D) $30.60
(E) $30.85
The sum, S, of an arithmetic sequence with first term x1 is given by , where n is the number of terms in the sequence. The sum of 5 consecutive terms in a given arithmetic sequence is 145, and x5 is 48. What is the sixth term of this sequence?
(A)49 (B) 57.5 (C) 77 (D) 154.5 (E) 174
Correct Answer: B
Which of the following is equal to (n– 3)2if n= 11?
(A) (n+ 6)(n– 6)(B) (n+ 5)(n– 7)(C) (n+ 4)(n– 8)(D) (n+ 3)(n– 9)(E) (n+ 2)(n– 10)
Correct Answer: B
In the circle below, radius has a length of 10 meters, and central angle ∠AOB measures 30°. What is the area, in square meters, of shaded sector AOB?
(A) (B) (C) (D) (E)
Correct Answer: E
More ACT Math Exam Questions
- 1
Each of the following values could represent a probability EXCEPT:
- 2
Pippin the guinea pig is running on her wheel when, due to a manufacturing error, the wheel breaks free of its axis. Pippin remains in her wheel, running in a straight line until the wheel has rotated exactly 15 times. If the diameter of the wheel is 10 inches, how many inches has the wheel rolled?
- 3
In the figure below, W, X, and Z are collinear, the measure of WXY is 4a°, and the measure of YXZ is 11a°. What is the measure of WXY?
- 4
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.
Which of the following is closest to the percent decrease in Cameron's new accounts from January to February?
- 5The costs of tutoring packages of different lengths, given in quarter hours, are shown in the table below.
Each cost consists of a fixed charge and a charge per quarter hour. What is the fixed charge?