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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Which decimal has a square root between 14 and 15? i) 240.3
ii) 169
iii) 14.5
iv) 204.5
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3.
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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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4.
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The lengths of the two legs of a right triangle are 6.5 cm and 3.4
cm.
Determine the length of the hypotenuse to 1 decimal place.
a. | 53.8 cm | b. | 7.3 cm | c. | 5.5 cm | d. | 3.1
cm |
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5.
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Evaluate: 
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6.
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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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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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Write  in standard form. a. | 35 746 | b. | 3574 | c. | 35 741 | d. | 35
740 |
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10.
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Which number is the greatest? i)  ii)
5645 iii)  iv)
5780
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11.
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Which expression has a value closest to 2?
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12.
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Write the quotient of  as a single power.
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13.
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Write the quotient of  as a single power.
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14.
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Evaluate: 
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15.
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Write  as a product of powers.
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16.
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Evaluate: 
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17.
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Identify the greatest rational number.  ,  ,  ,
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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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Write the addition statement that this number line represents. 
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20.
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Determine this sum. 
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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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Which expression has the same answer as  ?
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23.
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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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24.
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Determine this product.  ´ 
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25.
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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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26.
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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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27.
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A submersible descends at an average rate of 7.1 m/min.
Express the depth
below the surface after 4.6 min as a rational number.
a. | -32.66 m | b. | -11.7
m | c. | +32.66 m | d. | 11.7 m |
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28.
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Determine this quotient.
(–2.45) ¸
(–4.9)
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29.
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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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30.
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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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Short Answer
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31.
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Write the number of unit cubes in the large cube as a power. 
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32.
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Evaluate: 
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33.
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Write the product of  as a single power.
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34.
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Write the quotient of  as a single power.
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35.
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Express  as a single power of 7.
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36.
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Order these numbers from least to greatest.  ,  ,  , 
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37.
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Estimate whether this sum is greater than or less than 0. 
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38.
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Evaluate this expression.
–6.7 – 16.59 + 12.26
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39.
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a) Multiply:  b) Use the result in part a to determine these
products. i)  ii)  iii)  iv) 
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40.
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Determine this product.  
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Problem
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41.
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The side length of square PQRS is half the side length of square ABCD.
Square ABCD has area 121 cm 2. a) What is the area of square
PQRS?
b) What is the length of each side of square
PQRS?
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42.
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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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43.
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Where possible, replace  with a “+” or “ -” sign to make each product positive. a)  b)  c)  d)  Can all products be made positive? Explain.
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44.
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In a set of cubes, there are 4 cubes of edge length 7 cm, 3 cubes of edge length
8 cm, 2 cubes of edge length 9 cm, and 1 cube of edge length 10 cm. a) Which expression represents
the total volume of the cubes? b) Determine the total volume of the cubes.
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45.
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Which expressions are equivalent to  ? Justify your answer.
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46.
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These are two samples of student work. Are they correct? Explain. Student A:
 Student B: 
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47.
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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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48.
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Evaluate this expression. Show your work. -
- ( - ) - 
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49.
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Fashid was checking his stocks to see if he had gained or lost. The list
shows the number of each stock and the change in its value. Has Fashid gained or lost money?
Explain. Stock | Number of Shares | Change in Price per Share
($) | 1 | 230 | +1.56 | 2 | 380 | –2.17 | 3 | 170 | +3.63 | 4 | 260 | –0.88 | 5 | 340 | –1.74 | | | |
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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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