Act Math Practice

ACT Math Problems - Geometry

ACT Math Problems for Coordinate Geometry - Exercises on graphing, including midpoints, slope, curves, circles, and conics.

1. If a circle with center (-6, 6) is tangent to the x axis in the standard (x, y) coordinate plane, what is the diameter of the circle?

A. -6

B. -12

C. 6

D. 12

E. 36

Coordinate Geometry Answer 1

2. Consider a cone with a height of 12 inches and a radius at its base of 3 inches. What is the volume of this cone?

F. 3p

G. 12 p

H. 36 p

J. 72 p

K. 108 p

Coordinate Geometry Answer 2

3. If a circle has a diameter of 12, what is the circumference of the circle?

A. 6 p

B. 12 p

C. 24 p

D. 36 p

E. 144 p

Coordinate Geometry Answer 3

4. Consider two stores in a town. The first store is a DVD rentals store. The second is a pizza place where customers collect their pizzas after they order pizza online. The DVD rentals store is represented by the coordinates (-4, 2) and the online pizza place is represented by the coordinates (2,-4). If the DVD rental store and the online pizza place are connected by a line segment, what is the midpoint of this line?

F. (1, 1)

G. (-1,-1)

H. (2, 2)

J. (-2,-2)

K. (-3,-3)

Coordinate Geometry Answer 4

5. Marta has just bought a new pair of tennis shoes. She wants to wear the new running shoes to run up and down a hill near her house. The measurements of the hill can be placed on a two dimensional linear graph on which x = 5 and y = 165. If the line crosses the y axis at 15, what is the slope of this hill?

A. 10

B. 20

C. 30

D. 36

E. 75

Coordinate Geometry Answer 5

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