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


1.

Which number is a perfect
square?


2.

A square has an area of 196
cm^{2}. 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 BC^{2} +
CA^{2}?
a.  CA^{2}  c.  BA^{2}  b.  CB^{2}  d.  BC^{2} 


4.

Use the Pythagorean
relationship to find the unknown area of the square.
a.  26 cm^{2}  c.  104 cm^{2}  b.  25 cm^{2}  d.  2535 cm^{2} 


5.

Determine the missing side
length.


6.

The square on the hypotenuse of
a right triangle has an area of 25 cm^{2}. The square on one leg has an area of 20 cm^{2}. What is the area
of the square on the remaining leg?
a.  5 cm^{2}  c.  25 cm^{2}  b.  15 cm^{2}  d.  225 cm^{2} 


7.

If d^{2 }= 27^{2 }+ 27^{2},
what is the approximate value of d?


8.

A large roll of wallpaper will
cover a square wall with an area of 105 m^{2}. What are the approximate dimensions of the wall? Round your answer to the
nearest tenth, where appropriate.
a.  10 m ^{ }10 m  c.  10.5 m ^{ }10.5 m  b.  10.2 m ^{ }10.2 m  d.  11 m ^{ }11 m 


9.

Where on this number line is
the approximate value of located?


10.

Where on this number line is
the value of located?


11.

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


12.

The length of the hypotenuse,
to the nearest tenth of a centimetre, is
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
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.
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?
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?
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 m^{2}. 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.

c^{2} = a^{2} +
b^{2}
