Basic Math Test

Exam Description

This is a prerequisite for most of the certified KDOT classes. The online basic math exam must be completed and passed prior to enrolling in any online course or exam.

The basic math exam is online and available upon registration. The exam is available year round with the exam period designated in your registration confirmation email and the CanvasPro exam page. You must complete the exam by the stated completion date in your confirmation email and in CanvasPro. The exam can be taken and submitted up to three times. It can be taken at the student’s location and does not require a proctor.

Math exam requirements will be waived for individuals who are licensed Professional Engineers or Intern Engineers, or have passed the Engineer in Training Exam or the Fundamentals of Engineering Exam. Individuals must provide a copy of their Professional Engineer license, Intern Engineer Certificate, or certificates that they passed the Engineer in Training or Fundamentals of Engineering Exams. The math exam requirements will also be waived for individuals who are professionally licensed surveyors.

If you are eligible to be waived from taking the basic math exam fill out the Basic Math Exam Waiver form and attach the documents needed to the form. Your request will be sent to KDOT for approval.

Sample Math Questions

• Recognize basic math operations: add, subtract, multiply and divide.
• Apply correct formulae to specific problems.
• Review calculation procedures.
• Use Metric system as well as English system.
• Apply decimal addition.
• Determine square roots.
• Convert a fraction to a decimal.
• Check for individual understanding of volume, area and ratio.
• Understand basic use of square feet/yards or cubic feet/yards.
• Convert square inches to square feet to square yards.
• Convert cubic inches to cubic feet to cubic yards.
• Understand basic algebraic expressions.
• Determine ability to use powers and roots.
• Calculate the density of water.
• Substitute letters for numbers.
• Calculate problems of various difficulties.
• Review/study basic formula for the following: volume, area, ratio, density of water, changing square inches to square feet/cubic inches to cubic yards, etc.

Math Test Study Guide

A study guide is available to help prepare for the math exam.

Sample Math Questions and Answers

1.) If 3x + 4 = 19, what is x?

2.) An 800 gram aggregate sample has 200 grams retained on the ½" sieve. What is the percentage of the sample retained on the ½" sieve?

3.) Change 2/3 into a decimal.

4.) What is the total surface area of a 4-feet cube?

5.) If a hot mix plant is producing hot mix at the rate of 300 tons per hour, how long will it take to produce 2250 tons?

6.) The area of a circle is approximately 3.14 x r². What is the approximate volume, in cubic feet, of a cylinder measuring 2 feet in diameter and 12 feet long?

7.) What is the volume of a cube measuring 3 feet on each side?

8.) If a bridge deck is “T” feet long and you are to divide it into five equal length sections, what would be the correct formula to use to find the length of the sections?

ANSWERS (1) x = 5; (2) 25%; (3) .667; (4) 96 square feet ; (5) 7.5 hours; (6) 37.68 square feet; (7) 27 cubic feet; (8) T/5 = X