What is the integer that satisfies the following three conditions:
From an old SAT Exam
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Set L= {all integers between 1 and 50} Set M = {all integers divisible by 2 and 3} Set N = {All positive, even integers} If Set J is the intersection of the three previous sets, then what is the sum of the numbers in Set J? ANSWER From an old SAT exam
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
Sorry there have not been Math Problems of the Day lately, but I just got caught up from spring break!! Without further ado.... Lisa checks the statistics for her favorite puzzle game on her iPod. She sees that she has won exactly 72% of the 2400 puzzles that she has played. What is the minimum number of puzzles that Lisa must win before she has won at least 73% of the total number of puzzles played? ANSWER Coffey, M. (Ed.). (2011). April "Calendar" Problems. MATHEMATICS TEACHER , 104 (8), 600-601.
H. Constant is the hero of a particularly successful film -rates of the Pythagorean, whose climactic scene involved Constant “walking the planck.” On its premier weekend, the film grossed $31.4 million. If its sequel is expected to surpass this amount by 15.9%, how much will the sequel gross? ANSWER From March 2011 edition of the Mathematics Teacher
Coffey, M. (Ed.). (2011). March "Calendar" Problems. MATHEMATICS TEACHER , 104 (7), 520-521. Kaytlyn the pi-rate was famed for her collection of gold and silver jewelry. Which would hold more of her loot—a right cylindrical barrel with diameter d and height 2d or a chest in the shape of a rectangular prism with height d and width and length of 2d? ANSWER From the March Issue of the Mathematics Teacher
Coffey, M. (Ed.). (2011). March "Calendar" Problems. MATHEMATICS TEACHER , 104 (7), 520-521. Captain Hook’s parrot is 4 times as tall as Peter Pan’s parrot. A parrot owned by another Pi-rate on the Jolly Roger is 5/8 the height of Hook’s bird. The total height of all these birds is 225cm. If d represents the height of Peter’s parrot, find d. ANSWER From the March Issue of the Mathematics Teacher
Coffey, M. (Ed.). (2011). March "Calendar" Problems. MATHEMATICS TEACHER , 104 (7), 520-521. 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
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