Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Which of these numbers is a square number: 14, 49, 98, or 56?
|
|
|
2.
|
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 |
|
|
|
3.
|
Find a square root of 64.
|
|
|
4.
|
Find 82.
|
|
|
5.
|
Find the sum of 42 + 92.
|
|
|
6.
|
Simplify 72.
|
|
|
7.
|
The side length of a square is  cm. Find its area. a. | 5 cm2 | b. | 625 cm2 | c. | 12.5 cm2 | d. | 25
cm2 |
|
|
|
8.
|
The area A of a square is given.
Which side length is a whole
number?
i) A = 57 m2 ii) A = 68 m2 iii)
A = 64 m2 iv) A = 77 m2
|
|
|
9.
|
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 |
|
|
|
10.
|
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 |
|
|
|
11.
|
Find the length of the hypotenuse. Give your answer to 1 decimal place.  a. | 144.0 | b. | 10.4 | c. | 13.4 | d. | 36.0 |
|
|
|
12.
|
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 |
|
|
|
13.
|
The length of the hypotenuse and one leg of a right triangle are 9 cm and 4 cm
respectively.
What is the length of the other leg?
a. | 5 cm | b. | 65 cm | c. |  cm | d. | 
cm |
|
|
|
14.
|
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 |
|
|
|
15.
|
Jake wants to draw a net of a hexagonal pyramid. He has drawn 1 hexagon and 1
triangle.
What other shapes does he have to draw?
a. | 1 triangle and 5 hexagons | c. | 5 triangles | b. | 2
hexagons | d. | 1 hexagon and 6
triangles |
|
|
|
16.
|
Which object is NOT a pyramid?  a. | Object A | b. | Object B | c. | Object C | d. | Object
D |
|
|
|
17.
|
Name the polyhedron that can be formed from this net.  a. | Triangular prism | c. | Rectangular prism | b. | Square pyramid | d. | Rectangular
pyramid |
|
|
|
18.
|
Name the polyhedron that can be made from this net.  a. | Rectangular prism | c. | Triangular prism | b. | Rectangular pyramid | d. | Triangular
pyramid |
|
|
|
19.
|
Draw a net for this object. 
|
|
|
20.
|
The base of a right triangular prism has an area of 9 cm2 and a
perimeter of 11 cm.
If the height of the prism is 10 cm, find the total surface area of the
prism.
a. | 30 cm2 | b. | 119 cm2 | c. | 99 cm2 | d. | 128
cm2 |
|
|
|
21.
|
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 |
|
|
|
22.
|
Find the volume of this triangular prism. 
|
|
|
23.
|
Find the volume of this triangular prism.  a. | 108 cm3 | b. | 216 cm3
| c. | 178.8 cm3 | d. | 89.4 cm3
|
|
|
|
24.
|
The volume of this triangular prism is 78 cm 3. Find the value of
h.  a. | 6 cm | b. | 3 cm | c. | 4.6 cm | d. | 6 cm
|
|
|
|
25.
|
Find the surface area of this cylinder. Leave  in your
answer.
|
|
|
26.
|
Find the surface area of this cylinder. Leave  in your
answer.
|
|
|
27.
|
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 |
|
|
|
28.
|
This object is made using 4 linking cubes. Draw the right side view of the
object. 
|
|
|
29.
|
An object is made using 3 linking cubes. The diagram shows 2 views of the
object. Draw the top view of the object.  
|
|
|
30.
|
These are views of an object built using linking cubes. Sketch the
object. 
|
Short Answer
|
|
|
31.
|
Which of these numbers is a perfect square: 34, 36, 38, or
40?
|
|
|
32.
|
Which of these numbers are square numbers: 48, 64, 57, 81?
|
|
|
33.
|
Find a square root of 900.
|
|
|
34.
|
List the factors of 70 in ascending order.
|
|
|
35.
|
Copy the square on grid paper. Find its area. Then write the side length
of the square. 
|
|
|
36.
|
The side length of a square is  cm. Find its area.
|
|
|
37.
|
What whole number is  closest to?
|
|
|
38.
|
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.
|
|
|
39.
|
Use what you know about the Pythagorean Theorem. Find the length of the line
segment. Give your answer to 1 decimal place. 
|
|
|
40.
|
Two numbers in a Pythagorean triple are given. Find the third number.
8,
15
|
|
|
41.
|
Determine whether a triangle with each set of side lengths is a right triangle.
a) 9 cm, 12, cm, 15
cm
b) 24 cm, 10 cm, 26 cm
c) 22 cm,
21, cm, 30 cm
d) 21 cm, 20 cm, 29 cm
|
|
|
42.
|
An airplane is 105 km due south of an airport. Another airplane is 80 km due
west of the airport.
How far apart are the planes? Give your answer to the nearest
kilometre.
|
|
|
43.
|
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.
|
|
|
44.
|
This is the net of a right rectangular prism with square bases. What is the
surface area of the prism? 
|
|
|
45.
|
A jewelry store uses small boxes to store items they sell. This diagram shows
one of the boxes. Find the surface area of the box. 
|
|
|
46.
|
Each of the length, width, and height of a right rectangular prism is
doubled.
What happens to the surface area of the prism?
|
|
|
47.
|
The length of one edge of a cube is 4 cm. a) Find the surface area of the
cube.
b) Find the new surface area if the edge length is multiplied
by 3.
c) What is the ratio of the new surface area to the surface
area in part a?
|
|
|
48.
|
Here is a right triangular prism. a) Find the surface area of the
prism.
b) If all the dimensions of the prism are doubled, what is
the new surface area?
c) How does this new surface area compare to
the original surface area?
|
|
|
49.
|
A rectangular sheet of cardboard measures 20 cm by 16 cm. To form the net of
an open box, a 4-cm square is cut from each of the 4 corners of the cardboard. What will be the
volume of the box made? 
|
|
|
50.
|
Which right cylinder has the greater volume?
Cylinder A: radius 4 cm, height
16 cm
Cylinder B: radius 16 cm, height 4 cm
Can you find the answer without using a
calculator?
|
Problem
|
|
|
51.
|
a) List the factors
of each number in ascending order.
i)
24
ii)
20
iii)
25
iv)
50
b) Which number in part a is a square number? How can you
tell?
|
|
|
52.
|
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.
|
|
|
53.
|
a) Estimate each
square root to 2 decimal places.  ,  ,  ,
 ,  b) Look at your results in
part a. What patterns do you see?
|
|
|
54.
|
Which whole number is  closer to?
|
|
|
55.
|
Sketch and label a net of this right triangular prism. 
|
|
|
56.
|
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. 
|
|
|
57.
|
The base of a right triangular prism is a right triangle that measures 3 cm by 4
cm by 5 cm.
The total surface area of the prism is 84 cm2. Find the height of the
prism. Show your work.
|
|
|
58.
|
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. 
|
|
|
59.
|
A cylindrical pottery vase has radius 15 cm.
To paint the surface of the
vase, 1650 cm2 of paint will be needed for 1 coating.
Find the height of this vase, to
the nearest centimetre. Explain your work.
|
|
|
60.
|
Cylinder A has radius 3 cm and height 18 cm.
The radius of cylinder B is
twice that of cylinder A. Its height is one-third that of cylinder A.
What is the ratio of the
volume of cylinder A to the volume of cylinder B?
Show your work.
|