1951 AHSME Problems
Contents
[hide]Problem 1
The percent that is greater than is:
Problem 2
A rectangular field is half as wide as it is long and is completely enclosed by yards of fencing. The area in terms of is:
Problem 3
If the length of a diagonal of a square is , then the area of the square is:
Problem 4
A barn with a flat roof is rectangular in shape, yd. wide, yd. long and yd. high. It is to be painted inside and outside, and on the ceiling, but not on the roof or floor. The total number of sq. yd. to be painted is:
Problem 5
Mr. A owns a home worth dollars. He sells it to Mr. B at a profit based on the worth of the house. Mr. B sells the house back to Mr. A at a loss. Then:
\text{1100 on the deal} \qquad\mathrm{(C) \ } \text{A makes } $\text{900 on the deal} \qquad\mathrm{(E) \ } \text{A loses } $
Problem 6
The bottom, side, and front areas of a rectangular box are known. The product of these areas is equal to:
\text{of the volume} \qquad \mathrm{(C) \ } \text{twice the volume} \qquad \mathrm{(D) \ } \text{the square of the volume} \qquad\mathrm{(E) \ } \text{the cube of the volume} $[[1951 AHSME Problems/Problem 6|Solution]]
== Problem 7 ==
An error of$ (Error compiling LaTeX. Unknown error_msg).02"10".2"100" \mathrm{(A) \ } \text{greater by }.18 \qquad\mathrm{(B) \ } \text{the same} \qquad \mathrm{(C) \ } \text{less} \qquad\mathrm{(D) \ } 10\text{ times as great} \qquad\mathrm{(E) \ } \text{correctly described by both} $[[1951 AHSME Problems/Problem 7|Solution]]
== Problem 8 ==
The price of an article is cut$ (Error compiling LaTeX. Unknown error_msg)10 \%. \mathrm{(A) \ } 10 \% \qquad\mathrm{(B) \ } 9 \% \qquad \mathrm{(C) \ } 11\frac{1}{9} \% \qquad\mathrm{(D) \ } 11 \% \qquad\mathrm{(E) \ } \text{none of these answers} $[[1951 AHSME Problems/Problem 8|Solution]]
== Problem 9 ==
An equilateral triangle is drawn with a side length of$ (Error compiling LaTeX. Unknown error_msg)a. \mathrm{(A) \ } \text{Infinite} \qquad\mathrm{(B) \ } 5\frac{1}{4}a \qquad \mathrm{(C) \ } 2a \qquad\mathrm{(D) \ } 6a \qquad\mathrm{(E) \ } 4\frac{1}{2}a $[[1951 AHSME Problems/Problem 9|Solution]]
== Problem 10 ==
[[1951 AHSME Problems/Problem 10|Solution]]
== Problem 11 ==
[[1951 AHSME Problems/Problem 11|Solution]]
== Problem 12 ==
[[1951 AHSME Problems/Problem 12|Solution]]
== Problem 13 ==
[[1951 AHSME Problems/Problem 13|Solution]]
== Problem 14 ==
[[1951 AHSME Problems/Problem 14|Solution]]
== Problem 15 ==
[[1951 AHSME Problems/Problem 15|Solution]]
== Problem 16 == If in applying the quadratic formula to a quadratic equation
<cmath>f(x) \equiv ax^2 + bx + c = 0,</cmath>
it happens that$ (Error compiling LaTeX. Unknown error_msg)c = \frac{b^2}{4a}y = f(x)\mathrm{(A) \ have\ a\ maximum } \qquad \mathrm{(B) \ have\ a\ minimum} \qquad$$ (Error compiling LaTeX. Unknown error_msg)\mathrm{(C) \ be\ tangent\ to\ the\ xaxis} \qquad$$ (Error compiling LaTeX. Unknown error_msg)\mathrm{(D) \ be\ tangent\ to\ the\ yaxis} \qquad$$ (Error compiling LaTeX. Unknown error_msg)\mathrm{(E) \ lie\ in\ one\ quadrant\ only}$