In the following graph, nis the midpoint of . Which of the following answer choices are the coordinates of n?
(F) (3, k)
(G)
(H)
(J)
(K)
The following figure shows the graph of . Which of the answer choices are the correct amplitude and period of this function?
(F) amplitude = 5, period = π(G) amplitude = 5, period = 2π(H) amplitude = 5, period = 4π(J) amplitude = 10, period = 2π(K) amplitude = 10, period = 4π
Correct Answer: H
Consider all positive integer values a and b such that the product ab = 8. For how many values does there exist a positive integer c that satisfies both 2a = c and cb = 256?
(A) Infinitely many (B) 6 (C) 4 (D) 2 (E) 0
Correct Answer: C
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?
(A)14 (B)44 (C)48 (D)54 (E)66
Correct Answer: D
More ACT Math Exam Questions
- 1In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do NOT come from families with only one child?
- 2What is the value of x when 2x + 3 = 3x – 4 ?
- 3
In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If PQR is a right angle, then which of the following could be the coordinates of R?
- 4
What is the least common multiple of 25, 16, and 40?
- 5
Admission to the martial arts tournament is $30, but participants must purchase separate tickets for each event they wish to participate in once inside. Each event is the same price as any other event. The graph below shows the total cost for a person, for admission and events, as a function of the number of events paid for. One of the following is the price of a single event. Which one is it?
0 $30 1 $42 2 $54 3 $66 4 $78 5 $90