ISEE Upper Level (grades 9-12) Quantitative Reasoning › Circles
The circumferences of eight circles form an arithmetic sequence. The smallest circle has radius two inches; the second smallest circle has radius five inches. Give the radius of the largest circle.
The circumferences of eight circles form an arithmetic sequence. The smallest circle has radius two inches; the second smallest circle has radius five inches. Give the radius of the largest circle.
The circumferences of eight circles form an arithmetic sequence. The smallest circle has radius two inches; the second smallest circle has radius five inches. Give the radius of the largest circle.
The track at Monroe High School is a perfect circle of radius 600 feet, and is shown in the above figure. Quinnella wants to run around the track for one and a half miles. If Quinnella starts at point C and runs counterclockwise, which of the following is closest to the point at which she will stop running?
(Assume the five points are evenly spaced)
The track at Truman High School is shown above; it is comprised of a square and a semicircle.
Veronica begins at Point A, runs three times around the track counterclockwise, and continues until she reaches Point B. Which of the following comes closest to the distance Veronica runs?
A giant clock has a minute hand four and one-half feet in length. Since noon, the tip of the minute hand has traveled feet. Which of the following is true of the time right now?
The track at Simon Bolivar High School is a perfect circle of radius 500 feet, and is shown in the above figure. Manuel starts at point C, runs around the track counterclockwise three times, and continues to run clockwise until he makes it to point D. Which of the following comes closest to the number of miles Manuel has run?
Figure NOT drawn to scale
In the above figure, is the center of the circle, and
is a tangent to the circle. Also, the circumference of the circle is
.
Which is the greater quantity?
(a)
(b) 25
A giant clock has a minute hand four and one-half feet in length. Since noon, the tip of the minute hand has traveled feet. Which of the following is true of the time right now?
Figure NOT drawn to scale
In the above figure, is the center of the circle, and
is a tangent to the circle. Also, the circumference of the circle is
.
Which is the greater quantity?
(a)
(b) 25