Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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List all the whole numbers between 63 and 101 that are perfect squares.
a. | 64, 81, 96 | c. | 64, 81, 100 | b. | 64, 81 | d. | 64, 72, 81, 100 |
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2.
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Which fraction is a perfect square?
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3.
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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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4.
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Which fraction has a square root between 3 and 4?
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5.
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Write  as a power.
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6.
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Evaluate: 107
a. | 100 000 000 | b. | 10 000 000 | c. | 1 000 000 | d. | 70 |
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7.
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Write  in standard form. a. | 35 746 | b. | 3574 | c. | 35 741 | d. | 35
740 |
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8.
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Write  in standard form. a. | 50 980 | b. | 50 986 | c. | 50 981 | d. | 5986 |
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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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Evaluate: 
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12.
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Evaluate: 
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13.
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Write the product of  as a single power.
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14.
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Write the quotient of  as a single power.
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15.
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Express  as a single power.
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16.
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Write  as a quotient of powers.
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17.
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Evaluate: 
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18.
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Evaluate: 
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19.
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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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20.
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Write the addition statement that this number line represents. 
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21.
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Which numbers below would make this sentence true?  i) 3.9
ii) 4.9
iii) 3.5
iv) 4.4 a. | ii and iv | b. | i and iv | c. | i and iii | d. | ii and
iii |
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22.
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Determine this difference. 
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23.
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Determine this difference. 
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24.
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Determine this difference. 
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25.
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The temperature at the top of a mountain is 10.5°C less than the temperature at the base of the mountain. If the
temperature at the base is -4.4°C, what is
the temperature at the top?
a. | 6.1°C | b. | -14.9°C | c. | –6.1°C | d. | 14.9°C |
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26.
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Which products are less than 0? a. | All of these | b. | i, ii, and iv | c. | i and iii | d. | ii and
iii |
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27.
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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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28.
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Determine this quotient.  ¸ 
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29.
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Evaluate.  a. | -3.34 | b. | -1.24 | c. | -2.44 | d. | 3.34 |
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30.
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Evaluate.  a. | 16.24 | b. | 15.12 | c. | 3.136 | d. | 5.6 |
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Short Answer
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31.
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Calculate the number whose square root is  .
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32.
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A square has an area of 8.9 cm2.
Determine the side length of the
square, to the nearest millimetre.
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33.
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Write the number of unit cubes in the large cube as a power. 
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34.
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Write  as a power, then evaluate the power.
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35.
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Write  as a power, then evaluate the power.
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36.
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Which power is greater,  or  ?
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37.
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Complete this table.
Power | Base | Exponent | Repeated Multiplication | | | | | | | | | | | 7 | 3 | | | | | | | | | | |
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38.
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Write these powers in order from least to greatest.  ,  ,
 , 
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39.
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Write  as a product of powers.
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40.
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Simplify, then evaluate. 
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Problem
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41.
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Which expressions are equivalent to  ? Justify your answer.
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42.
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The scale of a map is 1:100 000. This means 1 cm on the map represents 100 000
cm on land.
Determine, in square kilometres, the area represented by an area of 10 cm2
on the map.
Explain your thinking.
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43.
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Identify, then correct, any errors in the work shown. 
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44.
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These are two samples of student work. Are they correct? Explain. Student A:
 Student B: 
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45.
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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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46.
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What can you say about the two non-zero rational numbers in each case?
Include an example of each. a) The
sum of the numbers is positive.
b) The sum of the numbers is
negative.
c) The sum of the numbers is zero.
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47.
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a) Predict the sign
of  . Explain your reasoning. b) Calculate the product. Show
your work.
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48.
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Replace  with a rational number to make each statement true.
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49.
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The formula for the vertical distance travelled by an object shot straight up is
 , where d metres is the distance covered, u metres per second is the
initial velocity, t seconds is the time elapsed, and g metres per square second is the
downward acceleration due to gravity. Determine the distance travelled when u = 86,
t = 4, and g = -9.8.
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50.
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The formula for the surface area of a right rectangular prism is given by  ,
where a is its length, b is its width, and c is its height. Determine the
surface area of this prism. 
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