Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of these numbers is a square number: 14, 49, 98, or 56?
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2.
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What is the side length of a square with area 25 cm2?
a. | 5 cm | b. | 12.5 cm | c. | 6.25 cm | d. | 20
cm |
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3.
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Which 2 consecutive square numbers is 54 between?
a. | 53 and 55 | b. | 28 and 32 | c. | 49 and 64 | d. | 12 and 16
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4.
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What is the area of a square with side length 10 units?
a. | 200 square units | c. | 20 square units | b. | 40 square units | d. | 100 square
units |
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5.
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The areas of 4 squares are given: 127 cm2, 116 cm2, 121
cm2, and 131 cm2.
Which area is a perfect square?
a. |  cm2 | b. |  cm2
| c. |  cm2 | d. | 
cm2 |
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6.
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Suzanne wants to put a fence around her square garden.
If the garden covers
an area of 169 m2, how many metres of fencing does she need?
a. | 13 m | b. | 52 m | c. | 26 m | d. | 676 m |
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7.
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Find a square root of 64.
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8.
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Find  .
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9.
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Find  .
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10.
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Copy each line segment on grid paper. Without measuring, determine which line
segment is shortest.  a. | Line A | b. | Line C | c. | Line B | d. | Line
D |
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11.
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Between which 2 consecutive whole numbers is  ? a. | 27 and 28 | b. | 110 and 112 | c. | 100 and 121 | d. | 10 and
11 |
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12.
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Find the area of the indicated square.  a. | 50 square units | c. | 400 square units | b. | 30 square units | d. | 7.1 square
units |
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13.
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Find the area of the indicated square.  a. | 20 square units | c. | 3.7 square units | b. | 66 square
units | d. | 14 square
units |
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14.
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Find the length of the diagonal, d, in the square. Give your answer to 1
decimal place.  a. | 9 m | b. | 162 m | c. | 18 m | d. | 12.7 m |
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15.
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This diagram shows 2 flag poles that are 4.5 m tall. The distance from the top
of the left pole to the base of the right pole is 7.5 m. What is the distance between the 2 flag
poles?  a. | 5.0 m | b. | 6.0 m | c. | 3.0 m | d. | 4.5
m |
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Short Answer
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16.
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Which of these numbers are square numbers: 48, 64, 57, 81?
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17.
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What is the area of this square? 
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18.
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Find the area of a square with side length 14 units.
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19.
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List the factors of 70 in ascending order.
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20.
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Find 92 + 52.
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21.
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The side length of a square is  cm. Find its area.
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22.
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Find  .
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23.
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A square plot of land has area 140 m2.
Find the approximate side
length of the plot of land.
Give the answer to 2 decimal places.
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24.
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Which of the following square roots does not lie between 15 and 16?  ,
 ,  , 
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25.
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Square A has area 10 cm2.
Square B has area double that of square
A.
What is the side length of square B? Give your answer to the nearest centimetre.
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26.
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The hypotenuse of a right triangle is 13 cm.
The length of one of the legs is
7 cm.
Find the length of the other leg.
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27.
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Which has the longer diagonal, the rectangle or the square? 
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28.
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A square has area 169 cm2. Determine the length of the sides and the
length of the diagonal.
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29.
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The area, in square centimetres, of the square on each side of a triangle is
given. Is the triangle a right triangle? How do you know? 
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30.
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ABCD is a parallelogram with  . Find the length of BD. Give the
length to the nearest millimetre. 
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Problem
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31.
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The numbers 2, 3, 5, 7, 11, and 13 are written on separate cards.
Which
pairs of numbers give a sum that is a perfect square?
Find all possible solutions.
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32.
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A square gymnasium floor has area 169 m2.
Find the perimeter of
the gymnasium floor.
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33.
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Use a table like this. Number = 144 | Factor Pairs | 1 | 144 | 2 | | | | | | |
List the factor pairs of these numbers: 4, 9, 25, and 49. What
can you say about these numbers?
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34.
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A rectangle and a square have the same area. The rectangle measures 13 cm by
9 cm. a) Find the area of the
square.
b) Write the side length of the square.
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35.
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Which whole number is  closer to?
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36.
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The length of the hypotenuse of a right triangle is  cm. Give 3 possible
lengths of the legs of the triangle.
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37.
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The 2 diagonals of rhombus PQRS measure 10 cm and 14 cm. The diagonals intersect
at T. Find the side length of the rhombus. Justify your answer. 
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38.
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Determine the sum of the lengths of the diagonals. 
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39.
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A rectangular carpet measures 7.2 m by 5.5 m.
Calculate the length of the
diagonal. Give your answer to the nearest tenth.
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40.
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Find the length of BC to the nearest tenth. Show your work. 
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