1994 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
Which of the following is the largest?
Problem 2
Problem 3
Each day Maria must work hours. This does not include the
minutes she takes for lunch. If she begins working at
and takes her lunch break at noon, then her working day will end at
Problem 4
Problem 5
Given that and
, the number of rods in one mile is
Problem 6
The unit's digit (one's digit) of the product of any six consecutive positive whole numbers is
Problem 7
If ,
and
, then
Problem 8
For how many three-digit whole numbers does the sum of the digits equal ?
Problem 9
A shopper buys a dollar coat on sale for
off. An additional
dollars are taken off the sale price by using a discount coupon. A sales tax of
is paid on the final selling price. The total amount the shopper pays for the coat is
Problem 10
For how many positive integer values of is the expression
an integer?
Problem 11
Last summer students attended basketball camp. Of those attending,
were boys and
were girls. Also,
students were from Jonas Middle School and
were from Clay Middle School. Twenty of the girls were from Jonas Middle School. How many of the boys were from Clay Middle School?
Problem 12
Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at the midpoints of the sides. How do the shaded areas of these squares compare?
Problem 13
The number halfway between and
is
Problem 14
Two children at a time can play pairball. For minutes, with only two children playing at time, five children take turns so that each one plays the same amount of time. The number of minutes each child plays is
Problem 15
Problem 16
The perimeter of one square is times the perimeter of another square. The area of the larger square is how many times the area of the smaller square?
Problem 17
Pauline Bunyan can shovel snow at the rate of cubic yards for the first hour,
cubic yards for the second,
for the third, etc., always shoveling one cubic yard less per hour than the previous hour. If her driveway is
yards wide,
yards long, and covered with snow
yards deep, then the number of hours it will take her to shovel it clean is closest to
Problem 18
Problem 19
Problem 20
Let and
be four different digits selected from the set
![$\{ 1,2,3,4,5,6,7,8,9\}.$](http://latex.artofproblemsolving.com/3/1/8/318bde14ded0257893bbf3b71b1bc4545223fffe.png)
If the sum is to be as small as possible, then
must equal
Problem 21
A gumball machine contains red,
white, and
blue gumballs. The least number of gumballs a person must buy to be sure of getting four gumballs of the same color is
$\text{(A)}\ 8 \qquad \text{(B)}\ 9 \qquad \text(C)}\ 10 \qquad \text{(D)}\ 12 \qquad \text{(E)}\ 18$ (Error compiling LaTeX. Unknown error_msg)
Problem 22
Problem 23
If ,
and
are different digits, then the largest possible
digit sum for
has the form
Problem 24
A by
square is divided into four
by
squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.
Problem 25
Find the sum of the digits in the answer to
where a string of nines is multiplied by a string of
fours.
See also
1994 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by 1993 AJHSME |
Followed by 1995 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 |