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.
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A square is cut into two equal rectangles, each with perimeter 36. Find the area of the square. A) 36 B) 64 C) 100 D) 144 E) 196 ANSWER From 2010 oct/nov AMATYC Student Mathematics League 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.
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
Due to a technical issue yesterday, here is a double Math Problem of the Day!!
1) Penelope bought 17 large packs and 5 small packs of identical pens. When she got home, her little sister opened all the packages onto the floor. If a total of 234 pens were strewn across the floor, how many pens did a large pack contain? 2) A mile-long train is moving at 60 mph when it reaches a mile-long tunnel. How long does it take for the entire train to pass through the tunnel, assuming that it maintains its current speed? ANSWER Chelsea had made six of seventeen free-throws attempts. How many consecutive free throws must she make to raise her percentage of free throws made to exactly 50 percent? Answer Problems from Mathematics Teacher. (2011). Retrieved Februrary 17, 2011, from National Council of Teachers of Mathematics Website: http://www.nctm.org/publications/calendar/index.aspx?journal_id=2
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 A census taker came to the house with no one home. He asked a neighbor the ages of the three inhabitants and was told, "The product of their ages is 252 and the sum of their ages is their house number." Later the census taker returned, saying, "I need more information." The reply was, "The twins are named Derek and Doreen." The Census taker wrote down the ages and left. What were the ages? ANSWER Problems from Mathematics Teacher. (2011). Retrieved Februrary 17, 2011, from National Council of Teachers of Mathematics Website: http://www.nctm.org/publications/calendar/index.aspx?journal_id=2
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