ΒΆ 1988 AMC8 Problems and Solutions
Problem Set Workbook
Access the downloadable workbook for 1988 AMC8 problems here.
Discussion Forum
Engage in discussion about the 1988 AMC8 math contest by visiting Random Math 1988 AMC8 Forum
Individual Problems and Solutions
For problems and detailed solutions to each of the 1988 AMC8 problems, please refer below:
Problem 1: The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of
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Problem 2: The product
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Problem 3:
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Problem 4: The figure consists of alternating light and dark squares. The number of dark squares exceeds the number of light squares by
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Problem 5: If is a right angle, then this protractor indicates that the measure of is approximately
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Problem 6:
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Problem 7: is closest to
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Problem 8: Betty used a calculator to find the product . She forgot to enter the decimal points. The calculator showed . If Betty had entered the decimal points correctly, the answer would have been
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Problem 9: An isosceles triangle is a triangle with two sides of equal length. How many of the five triangles on the square grid below are isosceles?
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Problem 10: Chris' birthday is on a Thursday this year. What day of the week will it be days after her birthday?
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A. Monday
B. Wednesday
C. Thursday
D. Friday
E. Saturday
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Problem 11: is
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Problem 12: Suppose the estimated billion dollar cost to send a person to the planet Mars is shared equally by the million people in the U.S. Then each person's share is
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Problem 13: If rose bushes are spaced about foot apart, approximately how many bushes are needed to surround a circular patio whose radius is feet?
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Problem 14: and are whole numbers and . The largest possible value of is
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Problem 15: The reciprocal of is
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Problem 16: Placing no more than one in each small square, what is the greatest number of 's that can be put on the grid shown without getting three 's in a row vertically, horizontally, or diagonally?
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Problem 17: The shaded area formed by the two intersecting perpendicular rectangles, in square units, is
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Problem 18: The average weight of boys is pounds and the average weight of girls is pounds. The average weight of the children is
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Problem 19: What is the th number in the arithmetic sequence:
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Problem 20: The glass gauge on a cylindrical coffee maker shows there are cups left when the coffee maker is full. How many cups of coffee does it hold when it is full?
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Problem 21: A fifth number, , is added to the set of numbers to make the mean of the set of five numbers equal to its median. The number of possible values for is
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Problem 22: Tom's Hat Shoppe increased all original prices by . Now the shoppe is having a sale where all prices are off these increased prices. Which statement best describes the sale price of an item?
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A. The sale price is higher than the original price.
B. The sale price is higher than the original price, but by less than .
C. The sale price is higher than the original price, but by more than .
D. The sale price is lower than the original price.
E. The sale price is the same as the original price.
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Problem 23: Maria buys computer disks at a price of for and sells them at a price of for . How many computer disks must she sell in order to make a profit of
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Problem 24: The square in the first diagram "rolls" clockwise around the fixed regular hexagon until it reaches the bottom. In which position will the solid triangle be in diagram
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Problem 25: A palindrome is a whole number that reads the same forwards as backwards. If one neglects the colon, certain times displayed on a digital watch are palindromes. Three examples are: , and . How many times during a -hour period will be palindromes?
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The problems on this page are the property of the MAA's American Mathematics Competitions