Standard One – Middle Level Problems
Prompt: This and that plus half of this and that is what percent of this and that?
Answer: 150%
Mathematics Teacher October 1992 V85 N7
Mathematical Teasers, Julio A. Mira (New York: Barnes & Noble, 1970)
Prompt: Suppose that n* means 1/n, the reciprocal of n. For example, 5* = 1/5. Which
of the following statements are true?
a.) 3* + 6* = 9*
b.) 6* - 4* = 2*
c.) 2*  6* = 12*
d.) 10*  2* = 5*
Answer: c and d
Mathematics Teacher April 1992 V85 N4
1987 AJHSME
Prompt: Adjoin to the digits 739…three more digits so that the resulting number is
divisible by 6, 7, 8, and 9.
Answer: 739,368 and 739,872
Mathematics Teacher January 1996 V89 N1
Prompt: The average of seven different positive integers is 7. What is the largest
possible value of any of these numbers?
The University of Northern Colorado, Math Contest, November 1994
Prompt: Starting with 8, arrange the fifteen integers 1, 2, 3, 4, 5, 6, 7, 8, 8, 10, 11, 12,
13, 14, 15 in a row so that the sum of any two adjacent integers is a perfect square.
Describe how you accomplished this.
Grassl and Mingus. "Problem Solving: Exploring paths less Travled." 2005: 77-99.