Background Math Practice Test

By — McGraw-Hill Professional
Updated on Sep 12, 2011

Review the following concepts if necessary:

Background Math Practice Test

A good score is 8 correct.

  1. What is the square of x/(–5), where x represents any real number?
  2. (The square of a number is equal to the number multiplied by itself.)

    1. x2/5
    2. x2/25
    3. x2/5
    4. x2/25
  3. In the Venn diagram of Fig. 1-20, what does the shaded region represent?
    1. A + B
    2. A B
    3. A B
    4. A B
  4. Fig. 1-20. Illustration for Practice Test Questions 2 and 3.

  5. In Fig. 1-20, the objects labeled P, Q, and R represent individual points. Which of the following statements is true?
    1. P (A B)
    2. Q (A B)
    3. R
    4. P A
  6. When we write 23.723723723723 . . ., we are writing a representation of
    1. an irrational number
    2. a nonterminating, nonrepeating decimal
    3. a nondenumerable number
    4. a rational number
  7. Suppose a graph is drawn showing temperature in degrees Celsius (°C) as a function of time for a 24-hour day. The temperature measurements are accurate to within 0.1°C, and the readings are taken every 15 minutes. The day's highest temperature is +18.2°C at 4:45 P.M. The day's lowest temperature is +11.6°C at 5:00 A.M. A reasonable range for the temperature scale in this graph is
    1. 0.0°C to +100.0°C
    2. –100.0°C to +100.0°C
    3. +10.0°C to +20.0°C
    4. +10.0° C to +50.0°C
  8. In a constant function:
    1. the value of the dependent variable constantly increases as the value of the independent variable increases
    2. the value of the dependent variable constantly decreases as the value of the independent variable increases
    3. the value of the independent variable does not change
    4. the value of the dependent variable does not change
  9. It is reasonable to suppose that the number of lightning strikes per year in a 10,000-square mile region is positively correlated with
    1. the number of people in the region
    2. the number of stormy days per year in the region
    3. the number of cars on the region's highways
    4. the average altitude of the region above sea level
  10. Suppose a large image file is downloaded from the Internet. The speed of the data, in bits per second (bps), is plotted as a function of time in seconds. In this situation, data speed is considered
    1. the dependent variable
    2. the independent variable
    3. a constant function
    4. nondecreasing
  11. Suppose the path of a hurricane's center is plotted as a set of points on a map at 12-hour intervals, with the latitude and longitude lines as graphic coordinates. A continuous plot of the path of the storm center can be approximated using
    1. interpolation
    2. extrapolation
    3. curve fitting
    4. correlation
  12. Which of the following statements is false?
    1. All relations are constant functions.
    2. All constant functions are relations.
    3. The values in a bar graph do not always add up to 100%.
    4. Zero correlation is indicated by widely scattered points on a graph.


  1. b
  2. b
  3. b
  4. d
  5. c
  6. d
  7. b
  8. a
  9. c
  10. a
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