Difference between revisions of "1992 AJHSME Problems"
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== Problem 13 == | == Problem 13 == | ||
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| + | Five test scores have a mean (average score) of <math>90</math>, a median (middle score) of <math>91</math> and a mode (most frequent score) of <math>94</math>. The sum of the two lowest test scores is | ||
| + | |||
| + | <math>\text{(A)}\ 170 \qquad \text{(B)}\ 171 \qquad \text{(C)}\ 176 \qquad \text{(D)}\ 177 \qquad \text{(E)}\ \text{not determined by the information given}</math> | ||
[[1992 AJHSME Problems/Problem 13|Solution]] | [[1992 AJHSME Problems/Problem 13|Solution]] | ||
== Problem 14 == | == Problem 14 == | ||
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| + | When four gallons are added to a tank that is one-third full, the tank is then one-half full. The capacity of the tank in gallons is | ||
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| + | <math>\text{(A)}\ 8 \qquad \text{(B)}\ 12 \qquad \text{(C)}\ 20 \qquad \text{(D)}\ 24 \qquad \text{(E)}\ 48</math> | ||
[[1992 AJHSME Problems/Problem 14|Solution]] | [[1992 AJHSME Problems/Problem 14|Solution]] | ||
== Problem 15 == | == Problem 15 == | ||
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| + | What is the <math>1992^\text{nd}</math> letter in this sequence? | ||
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| + | <cmath>\text{ABCDEDCBAABCDEDCBAABCDEDCBAABCDEDC}\cdots </cmath> | ||
| + | |||
| + | <math>\text{(A)}\ \text{A} \qquad \text{(B)}\ \text{B} \qquad \text{(C)}\ \text{C} \qquad \text{(D)}\ \text{D} \qquad \text{(E)}\ \text{E}</math> | ||
[[1992 AJHSME Problems/Problem 15|Solution]] | [[1992 AJHSME Problems/Problem 15|Solution]] | ||
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== Problem 18 == | == Problem 18 == | ||
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| + | On a trip, a car traveled <math>80</math> miles in an hour and a half, then was stopped in traffic for <math>30</math> minutes, then traveled <math>100</math> miles during the next <math>2</math> hours. What was the car's average speed in miles per hour for the <math>4</math>-hour trip? | ||
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| + | <math>\text{(A)}\ 45 \qquad \text{(B)}\ 50 \qquad \text{(C)}\ 60 \qquad \text{(D)}\ 75 \qquad \text{(E)}\ 90</math> | ||
[[1992 AJHSME Problems/Problem 18|Solution]] | [[1992 AJHSME Problems/Problem 18|Solution]] | ||
Revision as of 22:43, 18 August 2009
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
Problem 2
Which of the following is not equal to 
?
Problem 3
What is the largest difference that can be formed by subtracting two numbers chosen from the set 
?
Problem 4
During the softball season, Judy had 
hits. Among her hits were 
home run, triple and 
doubles. The rest of her hits were single. What percent of her hits were single?
Problem 5
Problem 6
Problem 7
The digit-sum of 
is 
. How many 3-digit whole numbers, whose digit-sum is 
, are even?
Problem 8
A store owner bought 
pencils at <dollar/>0.10 each. If he sells them for <dollar/>0.25 each, how many of them must he sell to make a profit of exactly <dollar/>100.00?
Problem 9
Problem 10
Problem 11
Problem 12
The five tires of a car (four road tires and a full-sized spare) were rotated so that each tire was used the same number of miles during the first 
miles the car traveled. For how many miles was each tire used?
Problem 13
Five test scores have a mean (average score) of 
, a median (middle score) of 
and a mode (most frequent score) of 
. The sum of the two lowest test scores is
Problem 14
When four gallons are added to a tank that is one-third full, the tank is then one-half full. The capacity of the tank in gallons is
Problem 15
What is the 
letter in this sequence?
![\[\text{ABCDEDCBAABCDEDCBAABCDEDCBAABCDEDC}\cdots\]](http://latex.artofproblemsolving.com/6/c/b/6cb4705ab4ed9971886fcc4ea9087c9d419a4942.png)
Problem 16
Problem 17
Problem 18
On a trip, a car traveled 
miles in an hour and a half, then was stopped in traffic for 
minutes, then traveled 
miles during the next 
hours. What was the car's average speed in miles per hour for the 
-hour trip?
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
See also
| 1992 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by 1991 AJHSME |
Followed by 1993 AJHSME | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
