Math
9:
Square
Roots
and
Surface
Area:
Name:
You
must
show
your
work
on
this
page
or
on
an
attached
piece
of
paper
for
full
marks:
1.)
What is x if x2 = 36?
A) 6 only
B) 6 or -6
C) 18 only
D) 18 or –18
2.)
The area of a square field is 91 000 m2. What is the closest approximation to the
length of one of its sides?
A) 455.0 m
B) 301.7 m
C) 305.6 m
D) 227.5 m
3.) Which of the following will have a square root between 11 and 12?
A) 127.93
B) 136.73
C) 143.88
D) All of the above
4.)
Daniel was calculating 114.5 . In order to make an estimate he looked at the two
closest perfect squares on either side of 114.5
The sum of the square roots of those two perfect squares is
A) 10.7
B) 15.8
C) 21.0
D) 221.0
5.)
What is the value of E if E2 = 144?
A) 12 or –12
B) 72
C) 13 only
D) 12 only
6.)
What is A if (A2)2 = 81?
A) 3
B) 2 or –2
C) 3 or –3
D) 4
7.)
You cover a square room with 196 m2 of carpet. What are the dimensions of the
room?
A) 49 m × 4 m
B) 14 m × 14 m
C) 28 m × 7 m
D) 196 m × 1 m
Use
the
following
diagram
for
questions
8
and
9.
8.)
The
length
of
side
AB
is
equal
to:
A)
7.28
B)26.249
C)38.59
D)
54.57
9.)
The
area
of
this
triangle
is
equal
to?
A)
660
units 2 B)
330
units 2 C)
771.8
units 2 D)
385.9
units 2 10.)
What is 5 2 ?
A) 25
B) 25 or -25
C) 5
D) 5 or -5
11.)
The side length of a square photograph measures 3.5 cm. An enlargement of the
same photograph is a square with an area that is twice as large as that of the smaller
photograph.
The side length of the enlargement is:
A) 4.5 cm
B) 4.9 cm
C) 6.5 cm
D) 7.0 cm
Use the following diagram for questions 12 and 13:
12.) The length of side AB is equal to
units?
13.) The area of the triangle is equal to
units 2 ?
Use the following diagram for questions 14 and 15.
Above is a cube made up of 8 smaller cubes which measure 3 cm. by 3 cm. by 3cm.
14.) The surface area above is equal to
cm 2 ?
15.) If the smaller cubes were now re-arranged to form a long row with a height of 1
small cube, a width of 1 small cube, and a length of 8 small cubes, what is the surface
area of the new formation?
cm 2 .
In
the
diagram
above,
use
the
measurements
shown
to
calculate
the
surface
area
of
the
shape
as
seen
(the
3
sides
that
are
visible).
(4
marks)
What
is
the
surface
area
of
the
diagram
above
including
the
base?
(there’s
7
sides
total)
The model shown above is for a wedding cake that is to be covered in frosting. The
engaged couple has asked the pastry chef to only ice visible surfaces to cut down on cost.
The diameter of the larger cake is 52 cm, and the diameter of the smaller cake is 30 cm.
Each cake is 5 cm tall.
The area of the frosting, to the nearest square centimeter, will be: (4 marks)