1966 AHSME Problems
Contents
[hide]- 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 Problem 26
- 27 Problem 27
- 28 Problem 28
- 29 Problem 29
- 30 Problem 30
- 31 See also
Problem 1
Given that the ratio of to
is constant, and
when
, then, when
,
equals:
Problem 2
Problem 3
If the arithmetic mean of two numbers is and thier geometric mean is
, then an equation with the given two numbers as roots is:
Problem 4
Circle I is circumscribed about a given square and circle II is inscribed in the given square. If is the ratio of the area of circle
to that of circle
, then
equals:
Problem 5
The number of values of satisfying the equation
\[
\frac {2x^2 - 10x}{x^2 - 5x} = x - 3
\]
is:
Problem 6
is the diameter of a circle centered at
.
is a point on the circle such that angle
is
. If the diameter of the circle is
inches, the length of chord
, expressed in inches, is:
Problem 7
Let be an identity in
. The numerical value of
is:
Problem 8
The length of the common chord of two intersecting circles is feet. If the radii are
feet and
feet, a possible value for the distance between the centers of teh circles, expressed in feet, is:
Problem 9
If , then
equals:
Problem 10
If the sum of two numbers is 1 and their product is 1, then the sum of their cubes is: