Pre-AP Geometry with Statistics Practice Test

1. Question

A historian was interested in researching the health of Virginia soldiers near the start of the American Civil War. The data collected for each company, or small group, of soldiers were the percentage of soldiers in each company that were in poor health. A histogram of the data is shown in the figure. Which of the following statements is most consistent with the distribution of soldiers in poor health?

The total number of companies that reported a percent of soldiers in poor health that was above the mean is equal to the total number of companies that reported a percent of soldiers in poor health below the mean.
The mean and median values for percent of soldiers in poor health are similar.
The variance and the interquartile range of values for percent of soldiers in poor health are similar.
The median value for the percent of soldiers in poor health is less than the mean value.

2. Question

Two friends, Matt and Kylie, use different skateboard ramps at their local skate park, as represented in the diagram. They want to know which ramp is steeper. Matt says his ramp has a vertical support (shown) that is 3-feet tall and a ramp length of 5 feet. Kylie measured the angle that the bottom of her ramp made with the ground (angle A) and found it to be 40°. Based on the known measurements, which ramp is steeper?

Matt’s ramp has a slope of 3/5 , which is greater than Kylie’s ramp slope of tan(40°).
Matt’s ramp has a slope of 3/4, which is greater than Kylie’s ramp slope of sin(40°).
Kylie’s ramp has a slope of cos(40°), which is greater than Matt’s ramp slope of 3/5.
Kylie’s ramp has a slope of tan(40°), which is greater than Matt’s ramp slope of 3/4.

3. Question

The following two figures have the same area.

The horizontal distance between points on the sides of Figure B is 2,therefore the missing x-coordinate is 2 more than 5.
The horizontal distances at the same height between two points of Figure A and two points of Figure B are equal.
The slope of the line segment whose endpoints are (6, 0) and (7, 2) is 2.
If points on Figures A and B have the same y-coordinate, then the points will have the same horizontal distance from the y-axis.

Pre-AP Geometry with Statistics Practice Test