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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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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3.
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Find the square of 11.
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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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Find  .
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6.
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Which whole number is  closer to?
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7.
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Simplify  to the nearest whole number.
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8.
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Estimate  to 1 decimal place.
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9.
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The area of square P is 52 cm2.
Square Q has an area equal to one
quarter the area of square P.
Find the approximate side length of square Q.
Give your answer
to 1 decimal place.
a. | 3.6 cm | b. | 5.1 cm | c. | 13 cm | d. | 1.8
cm |
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10.
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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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11.
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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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12.
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Find the length of the hypotenuse.
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13.
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Find the length of the leg labelled l. Give
your answer to 1 decimal place.  a. | 256.0 | b. | 16.5 | c. | 16.0 | d. | 15.5 |
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14.
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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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15.
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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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Short Answer
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16.
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Which 2 consecutive square numbers is 126 between?
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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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Find 82.
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19.
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Which perfect squares have square roots between 6 and 10?
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20.
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What is a factor?
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21.
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The side length of a square is  m. Find its area.
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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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The side length of a square is  cm. Find its area.
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24.
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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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25.
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A square patio covers one-quarter of the area of a garden. The garden is 36 m by
36 m.
What are the dimensions of the patio?
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26.
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Use what you know about the Pythagorean Theorem. Find the length of the line
segment. 
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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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Find the area of each square. 
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29.
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The diagonal of a TV screen is 71 cm. The screen is 63 cm wide.
What is the
height of the screen? Give your answer to 1 decimal place.
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30.
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Name the points that are  units from the origin. 
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Problem
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31.
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A square gymnasium floor has area 169 m2.
Find the perimeter of
the gymnasium floor.
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32.
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Find the square root of 900. Use a table, list, or diagram to support your
answer.
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33.
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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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34.
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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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35.
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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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36.
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Sarah says triangle ABC is a right triangle. Is she correct? Justify your
answer. 
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37.
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A triangle has side lengths  cm,  cm, and  cm. Is this
triangle a right triangle? Do these side lengths form a Pythagorean triple? Explain.
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38.
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Which sets of numbers are Pythagorean triples?
Show how you know.
a) 5, 12, 13
b)
26, 36, 45
c) 24, 70, 84
d) 57,
176, 185
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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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PQRS is a trapezoid with  . Find the length of RS. Give the length
to the nearest millimetre. Show your work. 
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