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Miscellaneous Math Practice Problems Set 4

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Updated on Jul 15, 2011

More practice problems can be found at:

Problems

  1. What is the estimated product when 157 and 817 are rounded to the nearest hundred and multiplied?
    1. 160,000
    2. 180,000
    3. 16,000
    4. 80,000
  2. (–19) + 6 =
    1. –25
    2. –13
    3. 0
    4. 13
  3. –4 × (–9) =
    1. 13
    2. –13
    3. 36
    4. –36
  4. –6 + (–6) =
    1. –12
    2. 12
    3. 36
    4. –36
  5. 7 + (–15) =
    1. 22
    2. –22
    3. –8
    4. 8
  6. 75 + (–75) =
    1. 0
    2. 150
    3. –75
    4. 1
  7. Which of the following choices is equivalent to 6 × 6 × 6?
    1. 3 × 6
    2. 12 × 6
    3. 63
    4. 36
  8. Which of the following choices is equivalent to 25?
    1. 7
    2. 10
    3. 16
    4. 32
  9. Which of the following represents a composite number?
    1. 11
    2. 29
    3. 41
    4. 91
  10. 192 =
    1. 38
    2. 76
    3. 152
    4. 361
  11. 105 ÷ 102 =
    1. 13
    2. 103
    3. 107
    4. 1010
  12. –42 =
    1. –8
    2. 8
    3. –16
    4. 16
  13. –53 =
    1. –15
    2. 15
    3. 125
    4. –125
  14. –112 =
    1. 121
    2. –121
    3. –22
    4. 22
  15. What is the square root of 64?
    1. 8
    2. 32
    3. 128
    4. 4,096
  16. Which of these equations is incorrect?
    1. Neither is incorrect.
    2. Both are incorrect.

Answers

  1. a.   The number 157 is rounded to 200, and 817 is rounded to 800; 200 × 800 = 160,000.
  2. b.   When adding negative numbers, follow this rule: If both numbers have different signs, subtract the smaller from the larger. The sum takes the sign of the larger number. In this equation the correct answer is –13.
  3. c.   When multiplying integers, begin by multiplying the numbers: 4 × 9 = 36. If there is an odd number of negative signs, the answer is negative. If there is an even number of negative signs, the answer is positive. In this equation, there are two negative signs; therefore, the correct answer is 36.
  4. a.   When adding negative numbers, simply add the numbers and carry the negative sign into the answer. The correct answer to this equation is –12.
  5. c.   When adding a negative number to a positive number, subtract the smaller from the larger and carry the sign of the larger number into the answer. The correct answer to this equation is –8.
  6. a.   When adding two numbers that are the same, but have opposite signs, you will always get zero as your answer.
  7. c.   The meaning of 63 is 6 to the power of 3, or 6 used as a factor 3 times: 6 × 6 × 6 = 63.
  8. d.   In this problem, 2 is the base and 5 is the exponent. Two raised to the power of 5 means to use 2 as a factor five times: 2 × 2 × 2 × 2 × 2 = 32.
  9. d.   A composite number is a whole number greater than 1 that has other factors besides 1 and itself; in other words, it is not prime. Each of the answer choices are prime numbers except 91, which has factors of 1, 7, 13, and 91.
  10. d.   When squaring a number, simply multiply it by itself: 19 × 19 = 361.
  11. b.   To solve this division problem, subtract the exponents only: 5 –2 = 3, so the answer is 103.
  12. c.   –42 means the opposite of the result of 4 raised to the second power. Think of it as –1 × 42. As in the order of operations, evaluate the exponent first, and then multiply: –1 × 16 = –16.
  13. d.   –53 means the opposite of the result of 5 raised to the third power. Think of it as –1 × 53. As in the order of operations, evaluate the exponent first, and then multiply: –1 × (5 × 5 × 5) = –1 × 125 = –125.
  14. a.   Since there are parentheses, the base in this question is –11; (–11)2 means –11 × –11, which is equal to 121. Because there is an even number of negatives, the answer is positive.
  15. a.   To find the square root of a number, ask the question, "What number times itself equals 64?" The answer is 8.
  16. a.   Square roots can be multiplied and divided, but they cannot be added or subtracted.

More practice problems can be found at:

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