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  .
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2.
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Determine the value of  . a. | 0.225 | b. | 0.15 | c. | 0.015 | d. | 2.25 |
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3.
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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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4.
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Which fraction has a square root between 3 and 4?
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5.
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Estimate the value of  , to the nearest tenth.
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6.
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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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7.
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Write  as a power.
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8.
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Which answer is negative? a. | i and ii | b. | ii and iii | c. | i only | d. | i and
iii |
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9.
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Evaluate: 107
a. | 100 000 000 | b. | 10 000 000 | c. | 1 000 000 | d. | 70 |
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10.
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Write  in standard form. a. | 35 746 | b. | 3574 | c. | 35 741 | d. | 35
740 |
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11.
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Write  in standard form. a. | 50 980 | b. | 50 986 | c. | 50 981 | d. | 5986 |
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12.
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Evaluate: 
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13.
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Write  as a quotient of powers.
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14.
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Write  as a power.
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15.
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Which expressions have positive values? a. | ii and iv | b. | ii and iii | c. | i and ii | d. | i and
iv |
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16.
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Which numbers are rational numbers? a. |  | c. | All of them | b. |  ,  ,
and  | d. |  and
11 |
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17.
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Identify the greatest rational number.  ,  ,  ,
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18.
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Order the numbers from least to greatest. -0.4,
 , -0.44 a. | -0.44,  , -0.4 | c. |  , -0.44, -0.4 | b. | -0.4,  ,
-0.44 | d. | -0.4, -44,  |
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19.
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Which expressions have the same answer as - - ( -5) ? i) 5 +  ii) -5 +  iii) - + 5
iv) 5 -  a. | iii and iv | b. | ii and iv | c. | i and ii | d. | i and
iii |
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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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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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22.
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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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23.
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Determine this product.
(1.2)(–7.57)
a. | –9.084 | b. | –90.84 | c. | 9.084 | d. | –0.9084 |
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24.
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Determine this product.  
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25.
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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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26.
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Determine this quotient.
(–2.8) ¸
4
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27.
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Which expressions have the same answer as  ? a. | ii and iv | b. | i and iii | c. | ii and iii | d. | i and
iv |
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28.
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Determine this quotient.  ¸ 
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29.
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Which expression has the greatest value?
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30.
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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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Short Answer
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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 value of  , to the nearest tenth.
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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 the base and the exponent of this power: 
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35.
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Evaluate: 
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36.
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Evaluate: 
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37.
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Which rational number is less?  , 
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38.
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Determine this sum. 
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39.
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Evaluate this expression.
–6.7 – 16.59 + 12.26
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40.
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Evaluate: 
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Problem
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41.
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Determine the value of  .
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42.
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Find 3 perfect squares that are greater than 0.07 but less than 0.27.
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43.
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Determine the length of the diagonal AC of rectangle ABCD, to the nearest
millimetre. 
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44.
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This large square is made of 9 unit squares.  The numbers of squares
of different sizes in the large square are: 1-by-1 square: 9 2-by-2 square: 4 3-by-3 square:
1 The total number of squares in the large square is: 9 + 4 + 1 = 3 2 + 2 2 +
1 2 = 14 Write and evaluate an expression for the number of squares. a) a 4-unit-by-4-unit
square b) a 5-unit-by-5-unit
square
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45.
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Write the expression  so that the powers have the same
base. Simplify, then evaluate.
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46.
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Identify, then correct, any errors in the work shown. 
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47.
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Here are two ways to write 24 as a product of two powers, with at least one of
the powers greater than 1.  a) Find two powers that have a product of 48,
with at least one power greater than 1. How many different pairs of powers can you
find?
b) Find two powers that have a product of 96, with at least
one power greater than 1. How many different pairs of powers can you find?
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48.
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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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49.
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a) On Monday, the
price of a share in an oil company changed by -$1.27.
Karen owns 120 shares in the oil company.
By how much did the shares change in value on
Monday?
b) On Monday, the price of a share in a gas company changed
by $1.43.
Karen owns 190 shares in the gas company.
By how much did the shares change in value on
Monday?
c) Calculate Karen’s overall gain or loss on
Monday.
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50.
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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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