1987 AJHSME Problems
- 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
Martians measure angles in clerts. There are clerts in a full circle. How many clerts are there in a right angle?
The area of the rectangular region is
The smallest product one could obtain by multiplying two numbers in the set is
The large cube shown is made up of identical sized smaller cubes. For each face of the large cube, the opposite face is shaded the same way. The total number of smaller cubes that must have at least one face shaded is
If and are nonzero digits, then the number of digits (not necessarily different) in the sum of the three whole numbers is
When finding the sum , the least common denominator used is
The sum is between
What fraction of the large by rectangular region is shaded?
Which of the following fractions has the largest value?
A computer can do additions per second. How many additions can it do in one hour?
The sale ad read: "Buy three tires at the regular price and get the fourth tire for ;." Sam paid <dollar/>240 for a set of four tires at the sale. What was the regular price of one tire?
Joyce made of her first shots in the first three games of this basketball game, so her seasonal shooting average was . In her next game, she took shots and raised her seasonal shooting average to . How many of these shots did she make?
Abby, Bret, Carl, and Dana are seated in a row of four seats numbered #1 to #4. Joe looks at them and says:
"Bret is next to Carl." "Abby is between Bret and Carl."
However each one of Joe's statements is false. Bret is actually sitting in seat #3. Who is sitting in seat #2?
Half the people in a room left. One third of those remaining started to dance. There were then people who were not dancing. The original number of people in the room was
A calculator has a squaring key which replaces the current number displayed with its square. For example, if the display is and the key is depressed, then the display becomes . If the display reads , how many times must you depress the key to produce a displayed number greater than ?
"If a whole number is not prime, then the whole number is not prime." A value of which shows this statement to be false is
Suppose means , the reciprocal of . For example, . How many of the following statements are true?
i) ii) iii) iv)
is a rectangle, is the center of the circle, and is on the circle. If and , then the area of the shaded region is between
Assume the adjoining chart shows the U.S. population, in millions, for each region by ethnic group. To the nearest percent, what percent of the U.S. Black population lived in the South?
A multiple choice examination consists of questions. The scoring is for each correct answer, for each incorrect answer, and for each unanswered question. John's score on the examination is . What is the maximum number of questions he could have answered correctly?
Ten balls numbered to are in a jar. Jack reaches into the jar and randomly removes one of the balls. Then Jill reaches into the jar and randomly removes a different ball. The probability that the sum of the two numbers on the balls removed is even is
|1987 AJHSME (Problems • Answer Key • Resources)|
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|All AJHSME/AMC 8 Problems and Solutions|