2013 AMC 8 Problem 22
Attempt Problem 22 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
22.
Toothpicks are used to make a grid that is toothpicks long and toothpicks high. How many toothpicks are used altogether?
Answer: E
Small hint:
Count vertical and horizontal toothpicks separately.
Big hint:
A by grid has vertical lines and horizontal lines.
Video solution:
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Written solution:
A -by- grid has vertical grid lines, each made of toothpicks, and horizontal grid lines, each made of toothpicks.
Therefore the total number of toothpicks is
Thus, E is the correct answer.
Problem 22 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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- 1998 AMC 8
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