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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If A is the set of prime numbers and B is the set of 2 digit positive integers whose unit digit is 5, how many numbers are in common for both sets?
A) NONE B) ONE C) TWO D) SEVEN E) NINE ANSWER If 75% of m is equal to k percent of 25, where k > 0, what is the value of m / k? (side note: " m / k " means "m divided by k") ANSWER From 2007-2008 SAT practice test
What is the integer that satisfies the following three conditions:
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. 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. 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
Use the formula for continuously compounded interest (below) for the questions that follow P = initial amount A = amount at time t r = interest rate t=time in years e is approximately equal to 2.7183 ln(2) is approximately 0.69315
ANSWER (2010). Section 8-7: Base e and Natural Logarithms. In J. A. Carter, D. Roger, C. Malloy, & G. J. Cuevas, Algebra 2 (pp. 525-532). Columbus: Glencoe McGraw-Hill.
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