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Each month, a new set of puzzles will be posted.  Come back next month for the solutions and a new set of puzzles, or subscribe to have them sent directly to you.

  1. Point P is the center of the circle in the figure below. What is the value of angle BPC or xº?.

  1. An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Fiona purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
  1. The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?


There are more than one way of doing these puzzles and may well be more than one answer.  Please let me and others know what alternatives you find by commenting below.  We also welcome general comments on the subject and any feedback you'd like to give.

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Last month's solutions
  1. This matchstick image of a numeral equation (8 + 3 – 4 = 0) is incorrect. Can you correct the equation by moving just a) one matchstick and b) by moving just two matchsticks? (Note: All matchsticks must be used and there may be more than one solution for a and b.)







  1. Jackie has two summer jobs. She works as a tutor, which pays $12 per hour, and she works as a lifeguard, which pays $9.50 per hour. Each week she earns a total of $220 while working a total of 20 hours per week. How many hours did she work at each job per week?


Let x = hours working as a tutor and y = hours working as a lifeguard.

x + y = 20, y = 20 – x, and therefore:

12x + 9.5y = 220
12x + 9.5 (20 – x) = 220
12x + 190 – 9.5 x = 220
2.5x = 30

x = 12 and y = 20 – x = 20 – 12 = 8

  1. In the triangle below, what is the length of line AD?


Triangles ADB and CDB are congruent to each other because since they are both 30°-60°-90° triangles and share the side BD.

In triangle ADB, side AD is opposite to the angle 30° and therefore, the length AD is half the length of hypotenuse AB.

Since the triangles are congruent, AB = BC = 12. So the length of AD = 12/2 = 6.

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