Study Guide

Mild/Moderate Middle/Secondary Multi-Content:
Mathematics
Sample Questions

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Competency 0021
Understand numbers and operations.

1. A car that is advertised for $28,900 is sold after an 8% discount. If the commission rate is 0.75% of the sale price, how much money will the salesperson earn?

  1. $199.41
  2. $216.75
  3. $19,941.00
  4. $21,675.00
Enter to expand or collapse answer.Answer expanded
Correct Response: A. The final sale price of the car is 92% of the asking price (100% – 8% discount) and the salesperson earns 0.75% of the sale price. Commission = ($28,900)(0.92)(0.0075) = $199.41.

Competency 0022
Understand algebra and functions.

2. A hiker climbs uphill at a steady pace, rests at a scenic spot for a while, then continues at a slower pace to the top of the hill. The hiker stops for lunch at the top, then decides to run down to the base of the hill. Which of the following graphs best expresses the hiker's speed as a function of time?







Enter to expand or collapse answer.Answer expanded
Correct Response: C. The "steady pace" held by the hiker reflects a constant speed over time; thus the first section of the graph is a horizontal line (slope equals zero) at some constant value of speed. The hiker slows to a resting position with a speed of zero, though time passes, so the value for time continues to increase. The approach to the top of the hill shows a positive slope, with increasing speed and time as the hiker resumes walking, but since the pace is slower, the graph does not reach the previous level of speed. This pattern repeats when the hiker stops for lunch, but the run to the base reflects a greater speed than was achieved on the initial climb.

Competency 0023
Understand measurement, geometry, statistics, and probability.

3. A car is traveling at a speed of 100 kilometers per hour. What is its approximate speed in meters per second?

  1. 28 meters per second
  2. 36 meters per second
  3. 280 meters per second
  4. 360 meters per second
Enter to expand or collapse answer.Answer expanded
Correct Response: A. Both units in the given quantity must be converted: kilometers to meters and hours to seconds.