Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Identify the number that is NOT equal to the other three numbers.  ,
 ,  , 
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2.
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Identify the greatest rational number.  ,  ,  ,
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3.
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Estimate to determine which sum is greater than 0.
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4.
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Which expression has the same sum as  ?
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5.
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Determine this difference. 
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6.
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Determine this difference. 
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7.
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Determine this product.  
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8.
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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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9.
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Which quotients are less than 0? a. | ii and iii | b. | i and iii | c. | i and iv | d. | ii and
iv |
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10.
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At a harbour, the effect of the tide changed the water level by 14.3 m in 5.5 h.
What was the mean change in water level per hour?
a. | -2.6 m/h | b. | -19.8
m/h | c. | -78.65 m/h | d. | -8.8
m/h |
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11.
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Evaluate. 
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12.
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The formula  can be used to convert Celsius temperature to
Fahrenheit. Convert -20 °C to
Fahrenheit. a. | 93.6°F | b. | 13.8°F | c. | –4°F | d. | –68°F |
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13.
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Calculate the number whose square root is 0.9.
a. | 0.81 | b. | 0.0081 | c. | 0.081 | d. | 0.09 |
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14.
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Calculate the number whose square root is 8.1.
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15.
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Name the two whole numbers whose squares are closest to 22.5.
a. | 9, 25 | b. | 4, 5 | c. | 4, 9 | d. | 16, 25 |
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16.
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A square has an area of 27.8 cm2.
Determine the side length of
the square, to the nearest millimetre.
a. | 5 cm | b. | 5.2 cm | c. | 5.27 cm | d. | 5.3
cm |
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Short Answer
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17.
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Write the rational number represented by each letter on the number line, as a
fraction. 
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18.
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Insert <, >, or = to make each expression
true. a) 3.08   b)   3.11
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19.
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Determine this sum.  + 
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20.
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Estimate whether this sum is greater than or less than 0. 
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21.
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Determine this difference.  - 
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22.
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Determine a rational number that makes this statement true. 
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23.
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Determine this product.  ´ 
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24.
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Which products are less than 0?
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25.
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Which quotients are less than 0? i) - ¸  ii)  ¸ ( - )
iii) - ¸ ( - )
iv)  ¸ ( - )
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26.
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Suppose each rational number below is divided by –0.6.
Evaluate the
quotients that are less than –3.
–1.86, 4.74, –5.34, –3.66, 1.47
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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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Determine the value of  .
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30.
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Determine the value of  .
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31.
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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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32.
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Determine the length of the hypotenuse, h. 
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Problem
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33.
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a) Show these
rational numbers on the number line:  , 0.5,  ,  ,
-0.5, -2.1, 1.4,   b) Which number is
least? c) Which number is greatest?
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34.
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Melissa earns $45.25 working in a coffee shop, and $18.25 for babysitting.
She spends $31.64 on art supplies and $15.48 on a computer game. a) Write an addition statement to represent
Melissa’s income and expenditure.
b) How much money does
Melissa have left?
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35.
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Determine a rational number that makes the answer positive. 
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36.
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a) Predict the sign
of  . Explain your reasoning. b) Calculate the product. Show
your work.
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37.
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Replace  with a rational number to make each statement true.
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38.
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The following maximum temperatures were recorded for one week.
-2.6°C, -1.5°C, 2.2°C, 0.9°C, -1.6°C,
-3.2°C, -2.7°C
Calculate the mean maximum temperature
for the week.
Give your answer to the nearest tenth of a degree.
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39.
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Which number,  or  , is greater? Explain your
reasoning.
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40.
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Calculate the value of  , to the nearest tenth.
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