Name: 
 

Math 8 Chapter 3 Practice



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Which number is a perfect square?
a.
5
c.
9
b.
7
d.
11
 

 2. 

A square has an area of 196 cm2. How long is each side of the square?
a.
7 cm
c.
98 cm
b.
14 cm
d.
196 cm
 

 3. 

In the diagram shown below, what is the sum of BC2 + CA2?

mc003-1.jpg
a.
CA2
c.
BA2
b.
CB2
d.
BC2
 

 4. 

Use the Pythagorean relationship to find the unknown area of the square.

mc004-1.jpg
a.
26 cm2
c.
104 cm2
b.
25 cm2
d.
2535 cm2
 

 5. 

Determine the missing side length.

mc005-1.jpg
a.
5 cm
c.
7 cm
b.
6 cm
d.
8 cm
 

 6. 

The square on the hypotenuse of a right triangle has an area of 25 cm2. The square on one leg has an area of 20 cm2. What is the area of the square on the remaining leg?
a.
5 cm2
c.
25 cm2
b.
15 cm2
d.
225 cm2
 

 7. 

If d2 = 272 + 272, what is the approximate value of d?
a.
35
c.
38.1
b.
37
d.
38.2
 

 8. 

A large roll of wallpaper will cover a square wall with an area of 105 m2. What are the approximate dimensions of the wall? Round your answer to the nearest tenth, where appropriate.
a.
10 m mc008-1.jpg 10 m
c.
10.5 m mc008-3.jpg 10.5 m
b.
10.2 m mc008-2.jpg 10.2 m
d.
11 m mc008-4.jpg 11 m
 

 9. 

Where on this number line is the approximate value of mc009-1.jpg located?

mc009-2.jpg
a.
A
c.
C
b.
B
d.
D
 

 10. 

Where on this number line is the value of mc010-1.jpg located?

mc010-2.jpg
a.
A
c.
C
b.
B
d.
D
 

 11. 

The length of the hypotenuse, to the nearest metre, is

mc011-1.jpg
a.
15 m
c.
17 m
b.
16 m
d.
18 m
 

 12. 

The length of the hypotenuse, to the nearest tenth of a centimetre, is

mc012-1.jpg
a.
10.2 cm
c.
11.0 cm
b.
10.6 cm
d.
11.7 cm
 

 13. 

The length of the hypotenuse, to the nearest tenth of a centimetre, is

mc013-1.jpg
a.
11.5 cm
c.
19.0 cm
b.
14.3 cm
d.
20.5 cm
 

 14. 

Determine the length of the missing side. Round your answer to the nearest tenth.

mc014-1.jpg
a.
11.0 cm
c.
16.8 cm
b.
15.2 cm
d.
23.1 cm
 

 15. 

Jerry cuts a piece of paper from one corner to the other, as shown. How long is the cut edge?

mc015-1.jpg
a.
20 cm
c.
40 cm
b.
30 cm
d.
50 cm
 

 16. 

One leg of a right triangle is 20 cm. The other leg is 7 cm. How long must the hypotenuse be? 
a.
13 cm
c.
21.2 cm
b.
18.7 cm
d.
27 cm
 

 17. 

The hypotenuse of a triangle is drawn on the diameter of a circle. The radius of the circle is 17.5 cm. What is the approximate length of the unknown leg of the right triangle?

mc017-1.jpg
a.
11 cm
c.
42.4 cm
b.
25.5 cm
d.
59 cm
 

 18. 

A ramp is 11 m long. The horizontal distance it spans is 10 m. What is the height of the ramp to the nearest tenth of a metre?
a.
4.5 m
c.
14.8 m
b.
4.6 m
d.
14.9 m
 

 19. 

To be safe, the foot of a ladder must be 1.5 m from the base of the wall. If the wall is 3.0 m high, how long must the ladder be to reach the top? Round your answer to the nearest tenth of a metre.
a.
3.8 m
c.
1.7 m
b.
3.4 m
d.
0.8 m
 

 20. 

A square tablecloth has an area of 4 m2. If the tablecloth is cut in half from corner to corner, how long is the cut? Express your answer to the nearest centimetre.
a.
59 cm
c.
200 cm
b.
141 cm
d.
283 cm
 

Matching
 
 
Match the correct term to each of the following descriptions. A term may be used more than once or not at all.
a.
leg
d.
prime number
b.
perfect square
e.
Pythagorean relationship
c.
prime factors
f.
right triangle
 

 21. 

factors that are prime numbers
 

 22. 

the product of the two same numbers
 

 23. 

a whole number greater than 1 that has only two factors: 1 and itself
 

 24. 

a triangle with one right angle
 

 25. 

c2 = a2 + b2
 



 
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