Difference between revisions of "1995 AJHSME Problems"

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==Problem 3==
 
==Problem 3==
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Which of the following operations has the same effect on a number as multiplying by <math>\dfrac{3}{4}</math> and then dividing by <math>\dfrac{3}{5}</math>?
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<math>\text{(A)}\ \text{dividing by }\dfrac{4}{3} \qquad \text{(B)}\ \text{dividing by }\dfrac{9}{20} \qquad \text{(C)}\ \text{multiplying by }\dfrac{9}{20} \qquad \text{(D)}\ \text{dividing by }\dfrac{5}{4} \qquad \text{(E)}\ \text{multiplying by }\dfrac{5}{4}</math>
  
 
[[1995 AJHSME Problems/Problem 3|Solution]]
 
[[1995 AJHSME Problems/Problem 3|Solution]]
  
 
==Problem 4==
 
==Problem 4==
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A teacher tells the class,
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<center>
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''"Think of a number, add 1 to it, and double the result.  Give the answer to your partner.  Partner, subtract 1 from the number you are given and double the result to get your answer."''
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</center>
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Ben thinks of <math>6</math>, and gives his answer to Sue.  What should Sue's answer be?
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 +
<math>\text{(A)}\ 18 \qquad \text{(B)}\ 24 \qquad \text{(C)}\ 26 \qquad \text{(D)}\ 27 \qquad \text{(E)}\ 30</math>
  
 
[[1995 AJHSME Problems/Problem 4|Solution]]
 
[[1995 AJHSME Problems/Problem 4|Solution]]
  
 
==Problem 5==
 
==Problem 5==
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Find the smallest whole number that is larger than the sum
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<center>
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<math>2\dfrac{1}{2}+3\dfrac{1}{3}+4\dfrac{1}{4}+5\dfrac{1}{5}.</math>
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</center>
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<math>\text{(A)}\ 14 \qquad \text{(B)}\ 15 \qquad \text{(C)}\ 16 \qquad \text{(D)}\ 17 \qquad \text{(E)}\ 18</math>
  
 
[[1995 AJHSME Problems/Problem 5|Solution]]
 
[[1995 AJHSME Problems/Problem 5|Solution]]

Revision as of 15:36, 23 May 2010

Problem 1

Walter has exactly one penny, one nickel, one dime and one quarter in his pocket. What percent of one dollar is in his pocket?

$\text{(A)}\ 4\% \qquad \text{(B)}\ 25\% \qquad \text{(C)}\ 40\% \qquad \text{(D)}\ 41\% \qquad \text{(E)}\ 59\%$

Solution

Problem 2

Jose is $4$ years younger than Zack. Zack is $3$ years older than Inez. Inez is $15$ years old. How old is Jose?

$\text{(A)}\ 8 \qquad \text{(B)}\ 11 \qquad \text{(C)}\ 14 \qquad \text{(D)}\ 16 \qquad \text{(E)}\ 22$

Solution

Problem 3

Which of the following operations has the same effect on a number as multiplying by $\dfrac{3}{4}$ and then dividing by $\dfrac{3}{5}$?

$\text{(A)}\ \text{dividing by }\dfrac{4}{3} \qquad \text{(B)}\ \text{dividing by }\dfrac{9}{20} \qquad \text{(C)}\ \text{multiplying by }\dfrac{9}{20} \qquad \text{(D)}\ \text{dividing by }\dfrac{5}{4} \qquad \text{(E)}\ \text{multiplying by }\dfrac{5}{4}$

Solution

Problem 4

A teacher tells the class,

"Think of a number, add 1 to it, and double the result. Give the answer to your partner. Partner, subtract 1 from the number you are given and double the result to get your answer."

Ben thinks of $6$, and gives his answer to Sue. What should Sue's answer be?

$\text{(A)}\ 18 \qquad \text{(B)}\ 24 \qquad \text{(C)}\ 26 \qquad \text{(D)}\ 27 \qquad \text{(E)}\ 30$

Solution

Problem 5

Find the smallest whole number that is larger than the sum

$2\dfrac{1}{2}+3\dfrac{1}{3}+4\dfrac{1}{4}+5\dfrac{1}{5}.$

$\text{(A)}\ 14 \qquad \text{(B)}\ 15 \qquad \text{(C)}\ 16 \qquad \text{(D)}\ 17 \qquad \text{(E)}\ 18$

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

Problem 16

Solution

Problem 17

Solution

Problem 18

Solution

Problem 19

Solution

Problem 20

Solution

Problem 21

Solution

Problem 22

Solution

Problem 23

Solution

Problem 24

Solution

Problem 25

Solution

See also

1995 AJHSME (ProblemsAnswer KeyResources)
Preceded by
1994 AJHSME
Followed by
1996 AJHSME
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All AJHSME/AMC 8 Problems and Solutions