Cyclist A averages 80 pedal revolutions per minute, and Cyclist B averages 61 pedal revolutions per minute. At these rates, how many more minutes does Cyclist B need than Cyclist A to make 9,760 pedal revolutions?
(A) 19
(B) 38
(C) 122
(D) 141
(E) 160
Gopi took 5 quizzes for which the scores are integer values ranging from 0 to 10. The median of her scores is 9. The mean of her scores is 8. The only mode of her scores is 10. Which of the following must be true about her quiz scores?
(A)Her lowest score is 4. (B) Her lowest score is 5. (C) The median of the 3 lowest scores is 6. (D) The sum of the 5 scores is 50. (E) The sum of the 2 lowest scores is 11.
Correct Answer: E
Natalie starts at the finish line of a straight 1,300-foot track and runs to the left toward the starting line at a constant rate of 12 feet per second. Jonathon starts 150 feet to the right of the starting line and runs to the right toward the finish line at a constant rate of 9 feet per second. To the nearest tenth of a second, after how many seconds will Natalie and Jonathon be at the same point on the track?
(A)483.3 (B) 383.3 (C) 63.7 (D) 54.8 (E) 10.9
Correct Answer: D
For all real numbers x and y such that the product of y and 4 is x, which of the following expressions represents the sum of y and 4 in terms of x?
(A)x + 4 (B) 4x + 4 (C) 4(x + 4) (D) (E)
Correct Answer: E
More ACT Math Exam Questions
- 1
In △VWY below, X lies on ; Z lies on ; and a, b, c, and d are angle measures, in degrees. The measure of Y is 45°. What is a + b + c + d?
- 2
A painter needs to reach the top of a tall sign in the middle of a flat and level field. He uses a ladder of length x to reach a point on the sign 15 feet above the ground. The angle formed where the ladder meets the ground is noted in the figure below as θ. Which of the following relationships must be true?
- 3If y = 4, then |1 - y| = ?
- 4A cellular phone company unveiled a new plan for new customers. It will charge a flat rate of $100 for initial connection and service for the first two months, and $60 for service each subsequent month. If Bob subscribes to this plan for one year, how much does he pay in total for the year?
- 5A sample of 300 jellybeans was removed from a barrel of jellybeans. All
of the jellybeans in the barrel are one of four colors: red, orange,
green, and purple. For the sample, the number of jellybeans of each
color is shown in the table below.
Color Number of jellybeans red 75