1989 AJHSME Problems
1989 AJHSME (Answer Key) Printable version: | AoPS Resources • PDF | ||
Instructions
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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
Problem 3
Which of the following numbers is the largest?
Problem 4
Estimate to determine which of the following numbers is closest to .
Problem 5
Problem 6
If the markings on the number line are equally spaced, what is the number ?
Problem 7
If the value of quarters and dimes equals the value of quarters and dimes, then
Problem 8
Problem 9
There are boys for every girls in Ms. Johnson's math class. If there are students in her class, what percent of them are boys?
Problem 10
What is the number of degrees in the smaller angle between the hour hand and the minute hand on a clock that reads seven o'clock?
Problem 11
Which of the five "T-like shapes" would be symmetric to the one shown with respect to the dashed line?
Problem 12
Problem 13
Problem 14
When placing each of the digits in exactly one of the boxes of this subtraction problem, what is the smallest difference that is possible?
Problem 15
The area of the shaded region in parallelogram is
Problem 16
In how many ways can be written as the sum of two primes?
Problem 17
The number is between and . The average of , , and could be
Problem 18
Many calculators have a reciprocal key that replaces the current number displayed with its reciprocal. For example, if the display is and the key is pressed, then the display becomes . If is currently displayed, what is the fewest positive number of times you must depress the key so the display again reads ?
Problem 19
The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during . For example, about million had been spent by the beginning of February and approximately million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August?
Problem 20
The figure may be folded along the lines shown to form a number cube. Three number faces come together at each corner of the cube. What is the largest sum of three numbers whose faces come together at a corner?
Problem 21
Jack had a bag of apples. He sold of them to Jill. Next he sold of those remaining to June. Of those apples still in his bag, he gave the shiniest one to his teacher. How many apples did Jack have then?
Problem 22
The letters , , , , , and the digits , , , are "cycled" separately as follows and put together in a numbered list:
What is the number of the line on which will appear for the first time?
Problem 23
An artist has cubes, each with an edge of meter. She stands them on the ground to form a sculpture as shown. She then paints the exposed surface of the sculpture. How many square meters does she paint?
Problem 24
Suppose a square piece of paper is folded in half vertically. The folded paper is then cut in half along the dashed line. Three rectangles are formed-a large one and two small ones. What is the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle?
Problem 25
Every time these two wheels are spun, two numbers are selected by the pointers. What is the probability that the sum of the two selected numbers is even?
See also
1989 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by 1988 AJHSME |
Followed by 1990 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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.