Avi is trying to draw a map of his most recent bike ride. He chose to place Market Street on the x-axis and Broad Street on the y-axis. He rode 60 m at an angle of 60° relative to Market Street, then rode 100 m at an angle of 45° relative to Market Street, and finally rode 35 m directly north on Broad Street. How many meters north of Market Street did Avi ride?
(A) 35
(B) 115
(C) 195
(D) 50 + 30
(E) 35 + 50 + 30
For a chemistry class, Sanjay is doing an experiment that involves periodically heating a container of liquid. The graph below shows the temperature of the liquid at different times during the experiment. What is the average rate of change of temperature (in degrees Celsius per minute) during the times in which Sanjay is applying heat to this container?
(A) 4 (B) 5 (C) 8 (D) 10 (E) 20
Correct Answer: C
Susan is planning the layout of her garden. She wants to plant tomatoes in 3 plots, each 10 feet by 16 feet. Within the total area, she will leave a 4-foot-by-6-foot rectangular plot for beans, and a 2-foot-by-5-foot rectangular plot for lettuce. If each packet of tomato seeds will cover between 150 and 200 square feet of soil, which of the following is the minimum number of packets of seeds Susan needs to buy to plant tomatoes?
(A)5 (B) 4 (C) 3 (D) 2 (E) 1
Correct Answer: C
If log3 81 = x + 1, then x = ?
(A)3 (B) 4 (C) 5 (D) 6 (E) 243
Correct Answer: A
More ACT Math Exam Questions
- 1
A password for a computer system requires exactly 6 characters. Each character can be either one of the 26 letters from A to Z or one of the ten digits from 0 to 9. The first character must be a letter and the last character must be a digit. How many different possible passwords are there?
- 2
Consider the exponential equation y = , where K and p are positive real constants and x is a positive real number. The value of y decreases as the value of x increases if and only if which of the following statements about p is true?
- 3
The difference of 2 integers is 6. The sum of the same 2 integers is 42. What is the lesser of the 2 integers?
- 4
A rectangular piece of cloth has a length of 6 feet and a width of 1.5 feet. Brad estimates that the area is 12 square feet. His estimate is approximately what percent greater than the actual area?
- 5
For the imaginary number i, which of the following is a possible value of in if n is an integer less than 5?