A positive integer, x, is divisible by 15, 25, and 30. Which of the following is the smallest possible value of x?
a) 75 b) 90 c) 120 d) 150 e) 450 From an Old ACT exam. Click here for the answer.
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There are 25 buildings on Maple Street. Of these 25 buildings, 10 have fewer than 6 rooms, 10 have more than 7 rooms, and 4 have more than 8 rooms. What is the total number of buildings on Maple street that have 6,7, or 8 rooms?
a) 5 b) 9 c) 11 d) 14 e) 15 From an old ACT EXAM. Click here for the answer. On the first day of school, Mr. Vilani gave his third grade students 5 new words to spell. On each day of school after that, he gave the students 3 new words to spell. In the first 20 days of school, how many new words had he given the students to spell? ANSWER From an old ACT Exam
A data set of integers has 5 members. The median of the data set is 6. The mode of the data set is 2. The mean of the data set is 5. Which of the following statements must be true about the data set? a) The sum of the five integers is 30 b) The sum of the five integers is 10 c) The median of the three largest integers is 6 d) The largest integer is 9 e) The largest integer is 8 ANSWER From an old ACT exam
A rectangular box is to be made from a rectangular piece of sheet metal 20 inches wide and 30 inches long by cutting a square piece of equal size from each of the corners and bending up the sides so that they make a 90 degree angle with the base. The base of the finished box will be 200 square inches. About how many inches high will the box be? a) 5 inches b) 10 inches c) 15 inches d) 20 inches e) 30 inches ANSWER From an old ACT exam
In a large high school, some teachers teach only one subject and some teachers teach more than one subject. Using the information given below about math, science, and gym teachers in the school, how many teach math only?
A variant of an ACT type problem
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 ANSWER From the ACT TEST PREP website
Sample Mathematics Test Questions Set 1. (2011). Retrieved February 22, 2011, from The ACT: http://www.actstudent.org/sampletest/math/math_03.html Points A, B, C, and D are on a line such that B is between A and C, and C is between B and D. The distance from A to B is 6 units. The distance from B to C is twice the distance from A to B, and the distance from C to D is twice the distance from B to C. What is the distance, in units, from the midpoint of BC to the midpoint of CD ? F.18 G.14 H.12 J. 9 K. 6 Answer From the ACT TEST PREP website
Sample Mathematics Test Questions Set C. (2011). Retrieved February 15, 2011, from The ACT: http://www.actstudent.org/sampletest/math/math_03.html Santa Claus averages 27 miles per gallon of magic dust for his sleigh. If magic dust costs $4.04 per gallon, which of the following is closest to how much the magic dust would cost for this sleigh to travel 2,727 miles? A.$ 44.44 B.$109.08 C.$118.80 D.$408.04 E.$444.40 Answer Question provided by ACT website with a minor edit from Mr. Kruczinski.
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