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 not a perfect square: 121, 2, 100, or 4?
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2.
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Find a square root of 81.
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3.
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Find  .
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4.
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Find the number whose square root is 36.
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5.
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Simplify 72.
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6.
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Copy each line segment on grid paper. Without measuring, determine which line
segment is longest.  a. | Line B | b. | Line A | c. | Line C | d. | Line
D |
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7.
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Which whole number is  closer to?
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8.
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What is the least whole number greater than  ?
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9.
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Find the length of the diagonal, d, in the rectangle. Give your answer to
the nearest centimetre.  a. | 320 cm | b. | 18 cm | c. | 24 cm | d. | 14
cm |
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10.
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The areas, in square centimetres, of the smaller squares on the sides of a right
triangle are given. Determine the area of the largest square.  a. | 61 cm2 | b. | 22 cm2 | c. | 11 cm2
| d. | 330
cm2 |
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11.
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The areas, in square centimetres, of the largest square and one of the smaller
squares on the sides of a right triangle are given. Determine the area of the third square.  a. | 74 cm2 | b. | 2 cm2 | c. | 24 cm2
| d. | 5
cm2 |
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12.
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Find the length of the hypotenuse. Give your answer to 1 decimal
place.  a. | 4.7 cm | b. | 7.2 cm | c. | 4.5 cm | d. | 6.3
cm |
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13.
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Jolene drew a diagonal on her rectangular book cover. Find the length of the
diagonal. Give your answer to 1 decimal place.  a. | 13.3 cm | b. | 16.0 cm | c. | 6.2 cm | d. | 4.0
cm |
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14.
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Ryan owns a plot of land in the shape of a right triangle.
The lengths of
the 2 legs of the plot of land are 15 m and 19 m.
Find the length of the hypotenuse. Round your
answer to the nearest tenth.
a. | 19.4 m | b. | 24.2 m | c. | 11.7 m | d. | 28.7
m |
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15.
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Gerry drew a diagram to compute the distance he will travel if he drives from
his home to the arena and then from the arena to the museum. What is the distance he will travel
if he drives directly to the museum from his home?  a. | 26 km | b. | 91 km | c. | 65 km | d. | 52
km |
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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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A square book cover has area 25 square units.
Find the perimeter of the book
cover.
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18.
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Which whole numbers between 67 and 141 are perfect squares?
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19.
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Find the square of 16.
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20.
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Which perfect squares have square roots between 6 and 10?
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21.
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The area of a square is 65 cm2. Find its side length.
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22.
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Copy the line segment on grid paper. Draw a square on the line
segment. Find the area of the square and the length of the line segment. 
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23.
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Write N. Estimate the value of N to 1 decimal place. 
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24.
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Is 5 greater than, less than, or equal to  ?
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25.
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Find the approximate side length of a square with area 242
cm2.
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26.
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Label the hypotenuse on this right triangle. 
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27.
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The length of the hypotenuse of a right triangle is  m. The lengths of the
legs are whole numbers of metres. What are the lengths of the legs?
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28.
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Use what you know about the Pythagorean Theorem. Find the length of the line
segment. 
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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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A rectangular sports field measures 100 m by 75 m.
How far will Wendy run if
she runs diagonally across the field?
Give your answer to the nearest metre.
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Problem
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31.
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Use a diagram to show that 225 and 289 are square numbers.
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32.
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Use 1-cm grid paper. Draw as many different rectangles as you can with area
36 cm 2. Find the base and height of each rectangle. Record the results in a
table. Base
(cm) | Height
(cm) | Perimeter
(cm) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
Which rectangle has the least
perimeter? What can you say about this rectangle?
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33.
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Find the square of each number. a)
8
b) 9
c)
7
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34.
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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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35.
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Find the number whose square root is 17. Explain your strategy.
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36.
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a) On grid paper,
draw a square with area 32 square units.
b) Explain how you know
the square has this area.
c) Write the side length s of the
square.
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37.
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Plot the points A(5, 6) and B(11, 10) on a coordinate grid.
Join the points
to form a line segment.
Explain how you would find the length of the line segment.
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38.
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a) Estimate each
square root to 2 decimal places.  ,  ,  ,
 ,  b) Look at your results in
part a. What patterns do you see?
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39.
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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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40.
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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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