¶ 1989 AMC8 Problems and Solutions
Problem Set Workbook
Access the downloadable workbook for 1989 AMC8 problems here.
Discussion Forum
Engage in discussion about the 1989 AMC8 math contest by visiting Random Math 1989 AMC8 Forum
Individual Problems and Solutions
For problems and detailed solutions to each of the 1989 AMC8 problems, please refer below:
Problem 1:
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Problem 2:
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Problem 3: Which of the following numbers is the largest?
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Problem 4: Estimate to determine which of the following numbers is closest to .
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Problem 5:
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Problem 6: If the markings on the number line are equally spaced, what is the number
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Problem 7: If the value of quarters and dimes equals the value of quarters and dimes, then
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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?
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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?
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Problem 11: Which of the five "T-like shapes" would be symmetric to the one shown with respect to the dashed line?
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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?
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Problem 15: The area of the shaded region in parallelogram is
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Problem 16: In how many ways can be written as the sum of two primes?
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Problem 17: The number is between and . The average of , and could be
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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 depressed, then the display becomes . If is currently displayed, what is the fewest number of times you must depress the key so the display again reads
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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?
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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 comer?
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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?
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Problem 22: The letters and the digits are "cycled" separately as follows and put in a numbered list:
What is the number of the line on which will appear for the first time?
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Problem 23: An artist has cubes, each with an edge of meter. She stands them on the ground to from a sculpture as shown. She then paints the exposed surface of the sculpture. How many square meters does she paint?
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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?
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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?
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The problems on this page are the property of the MAA's American Mathematics Competitions