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Math Review for Police Officer Exam Study Guide (page 2)

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Updated on Mar 16, 2011

Solving Math Problems

Just as with the verbal and reading skills sections of the entry exam, some of the math questions you will be presented with will be based on police situations and others will have nothing to do with policing. Some math problems will be presented within stories or situations where you have to pick out the math; others may be presented without any context attached. This is similar to the vocabulary questions, where, you may recall, some provided you with sentences and asked you to provide a synonym or antonym for an underlined word, while others provided you with just the word and no sentence to help you develop context. To some test takers, the math without a story will be easier because there is nothing to do except math, while to others this will be intimidating for the identical reason. To get you accustomed to answering math questions that do not come with a story attached, calculate the answers to the following questions.

Math-Only Sample Questions

  1. (13 × 9) + 14 =
    1. 117
    2. 131
    3. 119
    4. 139
  2. (67 – 9) + 80 =
    1. 138
    2. 183
    3. 85
    4. 58
  3. (80 + 20) ÷ 10 =
    1. 100
    2. 120
    3. 50
    4. none of the above
  4. 25 × (2 + 10) =
    1. 50
    2. 250
    3. 300
    4. none of the above
    1. 12
    2. 9
    3. none of the above
    1. 2

Answers

  1. c. Perform the operations in the parentheses first: 13 × 9 = 117; then add 14 to get the answer of 131.
  2. a. Perform the operations in the parentheses first: 67 – 9 = 58; then add 80 to get the answer of 138. Notice that the incorrect choices contain errors you might readily make. Choice b transposes two numbers from the correct answer; choice c transposes the numbers of an incorrect answer; choice d is the correct answer for the calculation within the parentheses but does not include the + 80.
  3. d. Perform the operations in the parentheses first: 80 + 20 = 100. Then divide by 10 to get the answer of 10.
  4. c. In this problem, the parentheses surrounds the second group of numbers, so you must do that calculation first: 2 + 10 = 12, then multiply by 25 to get the answer of 300.
  5. b. Adding fractions can be confusing. If the fractions have the same bottom numbers, just add the top numbers and write the total over the bottom. If the fractions have different bottom numbers, you must find the least common denominator, which means finding the same bottom number for each. It is always the smallest number that all the bottom numbers can be evenly divided into. In this problem, and , for a sum of . If you have no recollection of this from high school or college, you should purchase a math review book along with your other test study aids.
  6. b. In subtracting fractions, if the fractions have the same bottom numbers, just subtract the top numbers and write the difference over the bottom number. If they do not have the same bottom numbers, you will have to follow the rules for determining the least common denominator, which was not necessary in this question.
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