1985 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
Problem 2
Problem 3
Problem 4
The area of polygon , in square units, is
Problem 5
Problem 6
A ream of paper containing sheets is cm thick. Approximately how many sheets of this type of paper would there be in a stack cm high?
Problem 7
A "stair-step" figure is made of alternating black and white squares in each row. Rows through are shown. All rows being and end with a white square. The number of black squares in the row is
Problem 8
If , the largest number in the set is
Problem 9
The product of the 9 factors
Problem 10
The fraction halfway between and (on the number line) is
Problem 11
A piece of paper containing six joined squares labeled as shown in the diagram is folded along the edges of the squares to form a cube. The label of the face opposite the face labeled is
Problem 12
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are , and . The area of the square is
Problem 13
If you walk for minutes at a rate of and then run for minutes at a rate of , how many miles will you have gone at the end of one hour and minutes?
Problem 14
The difference between a sales tax and a sales tax on an item priced at <dollar/> before tax is
<dollar/>
<dollar/>
<dollar/>
<dollar/>
<dollar/>
Problem 15
How many whole numbers between and contain the digit ?
Problem 16
The ratio of boys to girls in Mr. Brown's math class is . If there are students in the class, how many more girls than boys are in the class?
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Five cards are lying on a table as shown.
Each card has a letter on one side and a whole number on the other side. Jane said, "If a vowel is on one side of any card, then an even number is on the other side." Mary showed Jane was wrong by turning over one card. Which card did Mary turn over?