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 the square of 3.
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3.
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Find a square root of 64.
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4.
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Find  .
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5.
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What is the least whole number greater than  ?
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6.
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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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7.
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Find the length of the hypotenuse.
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8.
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Find the length of the hypotenuse. Give your answer to 1 decimal place.  a. | 20.0 m | b. | 14.1 m | c. | 17.3 m | d. | 7.1
m |
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9.
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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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10.
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In a right triangle, the length of the hypotenuse is 18 m and the length of one
of the legs is 15 m.
Find the length of the other leg. Round your answer to the nearest
tenth.
a. | 5.0 m | b. | 6.8 m | c. | 9.9 m | d. | 23.4
m |
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11.
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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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12.
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This is an incomplete net for a triangular prism. What shapes do you add to
complete this net?  a. | 3 squares | c. | 1 triangle and 3 squares | b. | 1 triangle and 2
squares | d. | 3
triangles |
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13.
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This is an incomplete net for a square pyramid. What shapes do you add to
complete the net?  a. | 3 triangles | c. | 1 triangle and 3 squares | b. | 2
squares | d. | 1 triangle and 2
squares |
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14.
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Find the surface area of this right rectangular prism.  a. | 420 m2 | b. | 300 m2 | c. | 600 m2 | d. | 480
m2 |
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15.
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Calculate the area of this net of a right triangular prism.  a. | 225 cm2 | b. | 207.5 cm2 | c. | 165 cm2 | d. | 147.5
cm2 |
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16.
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Calculate the area of this net of a right triangular prism.  a. | 88.2 m2 | b. | 132.6 m2
| c. | 56
m2 | d. | 66.6 m2 |
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17.
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The area of each triangular face of this right triangular prism is 8
cm 2. Calculate the total surface area of the prism.  a. | 28.7 cm2 | b. | 120 cm2
| c. | 213.5 cm2 | d. | 221.5 cm2
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18.
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The area of one face of a cube is 25 cm2. What is the volume of the
cube?
a. | 100 cm3 | b. | 150 cm3 | c. | 125 cm3 | d. | 30
cm3 |
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19.
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A full tray of fudge is shared equally among 24 students.
The tray measures
12 cm by 9 cm and is 2 cm deep.
How much fudge, to the nearest tenth of a cubic centimetre, does
each student get?
a. | 11 cm3 | b. | 4.5 cm3 | c. | 3.8 cm3 | d. | 9
cm3 |
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20.
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Find the volume of this triangular prism.  a. | 160 m3 | b. | 80 m3 | c. | 320 m3 | d. | 184
m3 |
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21.
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The base of a triangular prism is a right isosceles triangle.
The volume of
the prism is 220.5 cm3 and the length of the prism is 9 cm.
Find the measure of each
leg of the base triangle.
a. | 14 cm | b. | 12 cm | c. | 5 cm | d. | 7
cm |
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22.
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Find the curved surface area of this cylindrical tube. Use  and round your
answer to the nearest square metre.  a. | 452 m2 | b. | 305 m2 | c. | 226 m2 | d. | 157
m2 |
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23.
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Find the volume of this cylinder. Use  .  a. | 942 cm3 | b. | 235.5 cm3 | c. | 188.4 cm3 | d. | 471
cm3 |
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24.
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Find the volume of this cylinder. Round your answer to the nearest cubic
unit.  a. | 528 mm3 | b. | 2217 mm3 | c. | 1108 mm3 | d. | 581
mm3 |
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25.
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The height of a cylindrical oil storage tank is 6 m and it has diameter 22 m.
If the tank is full, how much oil does it contain? Round your answer to the nearest kL. (1 kL = 1
m3)
a. | 207 kL | b. | 415 kL | c. | 2281 kL | d. | 908
kL |
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26.
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Tamara needs to buy motor oil to fill the 5 empty cylindrical barrels at her oil
service center. Each barrel is 3.0 m deep and has radius 1.5 m. What is the volume of oil needed?
Use  and give your answer to the nearest hundredth. a. | 84.78 m3 | b. | 423.9 m3 | c. | 141.3 m3 | d. | 105.98
m3 |
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27.
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This object is made using linking cubes. Draw the front view of this
object. 
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28.
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These are views of an object built using linking cubes. Sketch the
object. 
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29.
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These are views of an object built using linking cubes. Sketch the
object. 
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30.
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These are views of an object built using linking cubes. Sketch the
object. 
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Short Answer
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31.
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Find a square root of 900.
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32.
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Order from least to greatest: 5 2, 4 2,  , 19
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33.
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The side length of a square is  cm. Find its area.
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34.
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The area of a square is 149 m. Find its side length.
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35.
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Is 5 greater than, less than, or equal to  ?
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36.
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Use what you know about the Pythagorean Theorem. Find the length of the line
segment. 
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37.
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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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38.
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Which 3 of these numbers form a Pythagorean triple?
7, 15, 24, 25
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39.
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This object is built using 3 linking cubes. Draw a net of the object. 
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40.
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The net for a juice container is shown. Describe the shape and dimensions of the
container. 
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41.
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A right rectangular prism is made using 10 centimetre cubes. a) What are the possible dimensions of the
prisms?
b) What are the surface area of the prisms?
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42.
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Find the surface area of this right rectangular prism. 
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43.
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Find the volume of this square prism. 
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44.
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A rectangular aquarium contains 7200 cm3 of water.
The length of
the aquarium is 24 cm and its width is 25 cm.
What is the depth of water in the aquarium?
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45.
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The triangular face of a right triangular prism has base 6 cm and height 5
cm.
The volume of the prism is 270 cm3. Find the length of the prism.
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46.
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A right triangular prism has a volume of 8 cm2.
Find all possible
whole number values for A, the area of the base and l, the length of the prism.
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47.
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A vase is made in the shape of an open cylinder with height 122 cm and diameter
11 cm.
The outside of the vase is to be painted.
What is the area to be painted, to the
nearest square centimetre?
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48.
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The curved surface area of a cylinder is 312 cm2.
If the height
of the cylinder is 13 cm, what is the circumference of the circular base?
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49.
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There are 26 concrete cylindrical pillars in a stadium. Each column has
diameter 3.4 m and height 12 m. Calculate the total volume of concrete in the pillars, to the
nearest cubic metre. Use  .
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50.
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Sketch the front, left side, and back views of this object.  RightFront
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Problem
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51.
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A square gymnasium floor has area 169 m2.
Find the perimeter of
the gymnasium floor.
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52.
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Find the square root of 900. Use a table, list, or diagram to support your
answer.
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53.
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Determine whether a triangle with each set of side lengths is a right triangle.
Justify your answers. a)  cm,
 cm,  cm b)  cm, 7 cm, 
cm c)  cm,  cm,  cm
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54.
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A cube is made from 125 centimetre cubes. What is the surface area of the
cube?
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55.
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The right triangular prism and the cube have the same surface area. a) Find the surface area of the
prism.
b) Find the length of an edge of the cube to 1 decimal
place.
Explain your work.
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56.
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The area of the front face of this right
rectangular prism is 39 cm2.
The area of the top of the prism is 65
cm 2. The area of each side face is 15 cm 2. a) What are the whole-number dimensions of the
prism? b) What is the volume of the prism? Show your
work. 
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57.
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A cylindrical storage container has radius 4 m and height 8 m. a) What is the surface area of this container?
Round your answer to the nearest square unit.
Show your
work.
b) If either the radius or the height of the container is
doubled, which will give a greater area increase compared to the original container?
Explain.
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58.
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A coffee can has diameter 9.6 cm and height 15 cm.
The label around the can
has 1 cm extra length to allow for gluing.
What is the area of the label, to the nearest square
centimetre?
Show your work.
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59.
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An object that has the shape of a cube with a cylindrical hole drilled through
it is to be painted. The cube has an edge length of 28 cm and the hole has diameter 16 cm.
What area of the object, to the nearest square centimetre, will be covered with paint? Explain
your work. 
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60.
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Sketch 3 views of this object. 
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