Difference between revisions of "1992 AJHSME Problems"
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==Problem 1== | ==Problem 1== | ||
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| + | <math>\dfrac{10-9+8-7+6-5+4-3+2-1}{1-2+3-4+5-6+7-8+9}=</math> | ||
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| + | <math>\text{(A)}\ -1 \qquad \text{(B)}\ 1 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 9 \qquad \text{(E)}\ 10</math> | ||
[[1992 AJHSME Problems/Problem 1|Solution]] | [[1992 AJHSME Problems/Problem 1|Solution]] | ||
== Problem 2 == | == Problem 2 == | ||
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| + | Which of the following is not equal to <math>\dfrac{5}{4}</math>? | ||
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| + | <math>\text{(A)}\ \dfrac{10}{8} \qquad \text{(B)}\ 1\dfrac{1}{4} \qquad \text{(C)}\ 1\dfrac{3}{12} \qquad \text{(D)}\ 1\dfrac{1}{5} \qquad \text{(E)}\ 1\dfrac{10}{40}</math> | ||
[[1992 AJHSME Problems/Problem 2|Solution]] | [[1992 AJHSME Problems/Problem 2|Solution]] | ||
== Problem 3 == | == Problem 3 == | ||
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| + | What is the largest difference that can be formed by subtracting two numbers chosen from the set <math>\{ -16,-4,0,2,4,12 \}</math>? | ||
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| + | <math>\text{(A)}\ 10 \qquad \text{(B)}\ 12 \qquad \text{(C)}\ 16 \qquad \text{(D)}\ 28 \qquad \text{(E)}\ 48</math> | ||
[[1992 AJHSME Problems/Problem 3|Solution]] | [[1992 AJHSME Problems/Problem 3|Solution]] | ||
== Problem 4 == | == Problem 4 == | ||
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| + | During the softball season, Judy had <math>35</math> hits. Among her hits were <math>1</math> home run, <math>1</math> triple and <math>5</math> doubles. The rest of her hits were single. What percent of her hits were single? | ||
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| + | <math>\text{(A)}\ 28\% \qquad \text{(B)}\ 35\% \qquad \text{(C)}\ 70\% \qquad \text{(D)}\ 75\% \qquad \text{(E)}\ 80\% </math> | ||
[[1992 AJHSME Problems/Problem 4|Solution]] | [[1992 AJHSME Problems/Problem 4|Solution]] | ||
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== Problem 7 == | == Problem 7 == | ||
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| + | The digit-sum of <math>998</math> is <math>9+9+8=26</math>. How many 3-digit whole numbers, whose digit-sum is <math>26</math>, are even? | ||
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| + | <math>\text{(A)}\ 1 \qquad \text{(B)}\ 2 \qquad \text{(C)}\ 3 \qquad \text{(D)}\ 4 \qquad \text{(E)}\ 5</math> | ||
[[1992 AJHSME Problems/Problem 7|Solution]] | [[1992 AJHSME Problems/Problem 7|Solution]] | ||
== Problem 8 == | == Problem 8 == | ||
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| + | A store owner bought <math>1500</math> 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? | ||
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| + | <math>\text{(A)}\ 400 \qquad \text{(B)}\ 667 \qquad \text{(C)}\ 1000 \qquad \text{(D)}\ 1500 \qquad \text{(E)}\ 1900</math> | ||
[[1992 AJHSME Problems/Problem 8|Solution]] | [[1992 AJHSME Problems/Problem 8|Solution]] | ||
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== Problem 12 == | == Problem 12 == | ||
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| + | 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 <math>30,000</math> miles the car traveled. For how many miles was each tire used? | ||
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| + | <math>\text{(A)}\ 6000 \qquad \text{(B)}\ 7500 \qquad \text{(C)}\ 24,000 \qquad \text{(D)}\ 30,000 \qquad \text{(E)}\ 37,500</math> | ||
[[1992 AJHSME Problems/Problem 12|Solution]] | [[1992 AJHSME Problems/Problem 12|Solution]] | ||
Revision as of 16:18, 17 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
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
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 | ||
