Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the square of 11.
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2.
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Find  .
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3.
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Which whole number is  closer to?
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4.
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Estimate  to 1 decimal place.
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5.
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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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6.
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Find the length of the hypotenuse.
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7.
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Find the length of the leg labelled r.
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8.
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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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9.
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Use the Pythagorean Theorem to find the area of this square.  a. | 13 square units | b. | 16 square units | c. | 9 square units | d. | 2 square
units |
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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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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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12.
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Find the length of the line segment. Give your answer to 1 decimal
place.  a. | 12.5 units | b. | 157 units | c. | 17 units | d. | 4.1
units |
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13.
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Which object is NOT a prism?  a. | Object A | b. | Object B | c. | Object C | d. | Object
D |
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14.
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How many triangular faces are there in a hexagonal prism?
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15.
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Draw the object that has this net. 
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16.
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Draw a net for this object. 
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17.
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Find the surface area of this right rectangular prism.  a. | 138 cm2 | b. | 21 cm2 | c. | 280 cm2 | d. | 276
cm2 |
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18.
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Find the surface area of this right rectangular prism.  a. | 156 m2 | b. | 48 m2 | c. | 264 m2 | d. | 132
m2 |
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19.
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A square prism is 12 cm tall. The side length the square base is 7 cm.
What
is the surface area of the prism?
a. | 434 cm2 | b. | 336 cm2 | c. | 588 cm2 | d. | 104
cm2 |
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20.
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The total area of the 3 rectangular faces of a right triangular prism is 56
cm2.
The total surface area of the prism is 68 cm2. Find the area of each
triangular face.
a. | 6 cm2 | b. | 12 cm2 | c. | 1.2 cm2 | d. | 49.3
cm2 |
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21.
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The length of one edge of a cube is 5 cm. What is the volume of the cube?
a. | 150 cm3 | b. | 125 cm3 | c. | 60 cm3 | d. | 75
cm3 |
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22.
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A right rectangular prism has length 6 cm, width 3 cm, and height 4 cm.
If
the length is doubled, what is the new volume of the prism?
a. | 288 cm3 | b. | 144 cm3 | c. | 432 cm3 | d. | 576
cm3 |
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23.
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Find the volume of this triangular prism.  a. | 108 cm3 | b. | 216 cm3
| c. | 178.8 cm3 | d. | 89.4 cm3
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24.
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The area of the base of a right triangular prism is 14.5 cm2 and the
length of the prism is 6 cm.
Calculate the volume of the prism.
a. | 87 cm3 | b. | 43.5 cm3 | c. | 174 cm3 | d. | 20.5
cm3 |
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25.
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A paper cup has the shape of a perfect cylinder that is 6.9 cm tall and 3 cm
across. Find the area of paper needed to make the cup. Use  and give the answer to the
nearest square centimetre. a. | 65 cm2 | b. | 72 cm2 | c. | 79 cm2 | d. | 53
cm2 |
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26.
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Find the volume of this cylinder. Leave  in your answer.
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27.
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Draw the side view of this object. 
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28.
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An object is made using 3 linking cubes. The diagram shows 2 views of the
object. Draw the right side view of the object.  
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29.
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This object is made using linking cubes. Draw the top view of this
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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Which whole numbers between 67 and 141 are perfect squares?
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32.
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Find 82.
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33.
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Find a square root of 900.
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34.
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List the factors of 70 in ascending order.
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35.
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What is a factor?
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36.
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Find  .
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37.
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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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38.
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A boat sails due south from a port at a steady speed of 9 km/h.
The wind
blows the boat due west at a speed of 3 km/h.
How far is the boat from the port after 1 h?
Give your answer to 1 decimal place.
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39.
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A line segment joins points P(–1, –7) and Q(7, 3). Determine the
length of PQ to 1 decimal place.
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40.
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Name the polyhedron that can be made from this net. 
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41.
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An open box has the shape of a right rectangular prism. The net for the box is
shown. Find the area of the material required to make the box. 
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42.
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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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43.
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The 2 triangular faces of this prism are isosceles triangles with base length 6
cm and height 12 cm. Calculate the surface area of the prism. 
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44.
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Find the surface area of this right rectangular prism. 
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45.
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Find the volume of this square prism. 
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46.
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The rectangular prism has dimensions 14 cm, 9 cm, and 7 cm. It is divided
into 2 congruent triangular prisms along the diagonal shown. Find the volume of each triangular
prism. 
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47.
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A circle has radius 18 cm. Find the circumference to the nearest
centimetre.
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48.
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An open storage tank is cylindrical with height 13 m and diameter 22 m.
The
outside curved surface area will be given 3 coats of paint.
Calculate, to the nearest square
metre, the total area to be painted.
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49.
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These are the top, front, and right side views of an object built using linking
cubes. Sketch a 3-D picture of the object. 
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50.
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An object is built using linking cubes. The diagram shows the front and
right side views of the object. Sketch a 3-D picture of the object. 
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Problem
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51.
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A square park has area 120 m 2. a) What are the dimensions of the park? Give
your answer to the nearest metre.
b) If fencing costs $18.50/m, how
much would it cost to install a fence around the park?
Show your work.
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52.
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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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53.
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Calculate the radius of the cylinder that can be made from each net. Show your
work. Use p = 3.14 and round your answer to 1 decimal place if
necessary. a)
b)
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54.
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The diagram shows an open box in the shape of a right rectangular prism. A
square hole of side 5 cm is cut out of the front face. What is the total surface area of the box?
Show your work. 
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55.
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Find the surface area of this trapezoidal prism. Show your work. 
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56.
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A right rectangular prism is made from 20 centimetre cubes. a) What is the volume of the
prism?
b) What are the possible dimensions of the
prism?
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57.
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This diagram shows the front and top views of a triangular prism.  a) What is the volume of
the prism?
b) Two of the prisms are glued together to form a square
prism.
What is the volume of the square prism?
Show your
work.
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58.
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This object is built using linking cubes. Sketch 2 possible top views of this
object. 
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59.
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This object is made using 8 linking cubes. Sketch the top, front, and left side
views of the object. 
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60.
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The diagrams show the front, side, and top views of a symmetrical solid.
Sketch a 3-D picture of the solid. 
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