1988 AJHSME Problems
1988 AJHSME (Answer Key) Printable version: | AoPS Resources • PDF | ||
Instructions
| ||
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 |
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
The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of
Problem 2
The product
Problem 3
Problem 4
The figure consists of alternating light and dark squares. The number of dark squares exceeds the number of light squares by
Problem 5
If is a right angle, then this protractor indicates that the measure of is approximately
Problem 6
Problem 7
is closest to
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
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?
Problem 10
Chris's birthday is on a Thursday this year. What day of the week will it be days after her birthday?
Problem 11
is
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
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?
Problem 14
and are whole numbers and . The largest possible value of is
Problem 15
The reciprocal of is
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?
Problem 17
The shaded region formed by the two intersecting perpendicular rectangles, in square units, is
Problem 18
The average weight of boys is pounds and the average weight of girls is pounds. The average weight of the children is
Problem 19
What is the number in the arithmetic sequence: ?
Problem 20
The glass gauge on a cylindrical coffee maker shows that there are cups left when the coffee maker is full. How many cups of coffee does it hold when it is full?
Problem 21
A fifth number, , is added to the set to make the mean of the set of five numbers equal to its median. The number of possible values of is
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?
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 ?
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 ?
Problem 25
A palindrome is a whole number that reads the same forwards and 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?
See also
1988 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by 1987 AJHSME |
Followed by 1989 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.