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Spare parts has comics and random math topics for discussion. Includes questions (and answers), puzzles, and links to other sources.
7/12/13
Step Function
Alfred Hitchcock Presents a 39 Steps Function...
1) The domain of Hitchcock's function is (0, 39). What is the range?
2) Does [[X1]] + [[X2]] = [[X1 + X2]]? Provide an examples and/or counter-example.
To learn about step functions, floor and ceiling functions, and more, visit
7-1-15
Letters and Numbers: Consecutive Squared Integers Puzzle
If A, B, C, D, and E are consecutive integers, what are they?
6/27/13
Expressing 44
Mr Callahan: "44, Magnus, is a powerful number!"
6/18/13
Trapezoid, Area, and Coordinate Geometry
If the area of the trapezoid is 53, then what is the coordinate (a, b)?
6/7/13
Proportions
Fraction, Repeating Decimal, and Percentage...
5/17/13
"Doing Lines": Diagonals
What is a diagonal? A line segment connecting two non-adjacent vertices in a polygon.
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Questions:
1) How many diagonals are in an octagon?
2) How many diagonals are in a regular polygon with 20 sides?
3) What is a general equation for finding the number of diagonals? (i.e. how many diagonals are in a polygon with n sides?)
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Math Comic #86 - "Math Junkies" (5-16-13)
5/10/13
Clock Angles
Webcomic #85 - "Clock Wise" (click lower right corner to view)
Now, it's time for 3 clock angle questions!
1) What is the measure of the angle formed by the hands of a clock at 5:00?
2) What is the measure of the angle formed by the hands of a clock at 7:12?
3) Challenge: If it is 12:02, when is the next time the minute hand will cross the hour hand? (round your answer to the nearest second)..
(Note: the answer is not 1:05:00)
Clock sketches are at the right ----->
Detailed explanations of questions 1 & 2 -- plus more clock angle questions -- in geometry introduction
Detailed explanation of question 3 can be found in Random Places to Visit
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Can you solve these 4 math problems about 44?
1) List all the factors of 44
2) Express 44 in Roman Numerals
3) Write 44 in Base 5
4) ("The Enforcer" was made in 1976) Using each number 1, 9, 7, and 6 and any math symbols and/or operations, write an equation that equals 44.
Examples:
Square: 4 sides; 2 diagonals
Pentagon: 5 sides; 5 diagonals
Hexagon: 6 sides; 9 diagonals
Terms in the cartoon:
Central Angle - An angle in a circle with the vertex on the circle's center.
Acute Angle - An angle with a measure less than 90 degrees.
Obtuse Angle - An angle with a measure between 90 and 180 degrees.
(Obtuse: Lacking perception or intellect; dense)