1986 AJHSME Problems
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also
Problem 1
In July 1861, inches of rain fell in Cherrapunji, India. What was the average rainfall in inches per hour during that month?
Problem 2
Which of the following numbers has the largest reciprocal?
Problem 3
The smallest sum one could get by adding three different numbers from the set is
Problem 4
The product is closest to
Problem 5
A contest began at noon one day and ended minutes later. At what time did the contest end?
Problem 6
Problem 7
How many whole numbers are between and ?
Problem 8
Problem 9
Using only the paths and the directions shown, how many different routes are there from to ?
Problem 10
A picture feet across is hung in the center of a wall that is feet wall. How many feet from the end of the wall is the nearest edge of the picture?
Problem 11
If means , then is
Problem 12
Problem 13
The perimeter of the polygon shown is
Problem 14
If and , then the largest value of the quotient is
Problem 15
Sale prices at the Ajax Outlet Store are below original prices. On Saturdays an additional discount of off the sale price is given. What is the Saturday price of a coat whose original price is <dollar/>?
<dollar/>
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Problem 16
A bar graph shows the number of hamburgers sold by a fast food chain each season. However, the bar indicating the number sold during the winter is covered by a smudge. If exactly of the chain's hamburgers are sold in the fall, how many million hamburgers are sold in the winter?
Problem 17
Let be an odd whole number and let be any whole number. Which of the following statements about the whole number is always true?
Problem 18
A rectangular grazing area is to be fenced off on three sides using part of a meter rock wall as the fourth side. Fence posts are to be placed every meters along the fence including the two posts where the fence meets the rock wall. What is the fewest number of posts required to fence an area m by m?