Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Determine the value of  . a. | 0.3 | b. | 0.045 | c. | 0.0225 | d. | 0.03 |
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2.
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Calculate the number whose square root is 8.1.
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3.
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Write the base of  . a. | -5 | b. | 5 | c. |  | d. | 3 |
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4.
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Evaluate: 
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5.
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a. | i and iv | b. | iii and iv | c. | i, ii, and iv | d. | i and
ii |
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6.
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Write 1 000 000 as a power of 10.
a. |  | b. | 105 | c. |  | d. | 106 |
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7.
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Write one hundred million as a power of 10.
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8.
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Evaluate: 
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9.
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Which number is the greatest? i)  ii)
5645 iii)  iv)
5780
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10.
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Evaluate: 
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11.
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Write the product of  as a single power.
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12.
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Express  as a single power.
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13.
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Evaluate: 
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14.
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Which expressions have negative values? a. | ii and iii | b. | i and iv | c. | i and ii | d. | iii and
iv |
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15.
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Which numbers are rational numbers? a. |  and 3.6 | c. | All of them | b. |  and  | d. |  , 3.6, and  |
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16.
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Which numbers are rational numbers? a. |  | c. | All of them | b. |  ,  ,
and  | d. |  and
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17.
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Identify equal rational numbers in this list:
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18.
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Which of these numbers are between  and  ?
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19.
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Determine this difference. 
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20.
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Determine this difference.  a. | –32.11 | b. | 4.78 | c. | 11.30 | d. | 12.30 |
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21.
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Determine this product.  
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22.
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The price of a share changed by -$1.45. A person owns
190 shares.
By how much did his shares change in value?
a. | -$85.50 | b. | -$275.50 | c. | +$275.50 | d. | -$131.03 |
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23.
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Determine this quotient.  ¸ 
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24.
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Determine this quotient.  ¸ 
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25.
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Which quotients are less than -1? a. | iii and iv | b. | i and iii | c. | i and ii | d. | ii and
iv |
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26.
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Which operation would you do first to evaluate this expression?  a. | Divide 1.6 by 0.2. | c. | Add 3.7 to 2.2. | b. | Subtract 1.6 from 8.8. | d. | Multiply 0.2 by
2.2. |
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27.
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Evaluate. 
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28.
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Evaluate. 
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29.
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Which expression has the greatest value?
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30.
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A student has $1298 in her savings account. She withdraws $95 each week. A
formula for calculating the amount of money remaining in her account is  , where
T dollars is the original amount and w is the number of weeks she has been withdrawing
money. Determine the amount of money remaining in her account after 13 weeks. a. | $63 | b. | $1235 | c. | $1216 | d. | $1190 |
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Short Answer
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31.
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Determine the value of  .
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32.
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To estimate the value of  , determine the two whole number perfect
squares closest to  and their square roots.
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33.
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Name 2 decimals that have square roots between 2.6 and 2.7.
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34.
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Replace  with a fraction to make this statement true. 
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35.
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Evaluate: 
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36.
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Write  as a product of powers.
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37.
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Determine this sum. 
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38.
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Determine a rational number that makes this statement true. 
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39.
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Determine this product.  ´ 
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40.
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Write 3 different products equal to  .
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Problem
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41.
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Calculate the value of  , to the nearest tenth.
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42.
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Determine the values of s and h. Show your work. 
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43.
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Write these numbers in order from least to greatest. Justify your
answer.  ,  ,  , 
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44.
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One estimate shows that the number of people without access to safe drinking
water is about one billion.
How much water is required if each person who does not have access to
safe drinking water is given 10 L of safe drinking water?
Give your answer in standard form and
using powers of 10.
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45.
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Determine the missing exponents that make this equation true.  Justify your answer.
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46.
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Write the expression  so that the powers have the same
base. Simplify, then evaluate.
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47.
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Which expressions are equivalent to  ? Justify your answer.
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48.
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a) Without adding,
how can you tell which expression has the least sum? Explain your
reasoning. i)  ii)  iii)  b) Determine the least sum.
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49.
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A model train leaves a station and makes these moves: 5.6 m forward, 4.3 m
backward, 6.1 m forward, 2.2 m forward, 7.2 m backward, and 3.7 m forward. How far is the train from its starting point?
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50.
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Find the errors in this solution. Write a correct solution. 
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