Winnipeg, Manitoba and Wichita, KS lie on the same longitudinal line. Wichita is at 38° latitude and
Winnipeg is at 50° latitude. If the earth is a sphere of radius 4000 miles, use arc length to find the
distance between the cities. [Use π = 3.14, and round to the nearest mile.]
A)
750 miles
B)
780 miles
C)
810 miles
D)
840 miles
2)
Triangles EFG and QRS are similar. The lengths of the sides of EFG are 72, 64, and 56.
The length of the smallest side of QRS is 140, what is the length of the longest side of
QRS?
A)
120
B)
180
C)
240
D)
360
Identify the simplified form of the expression (m 5/2 n 7/2)2
3)
A)
m n2
B)
m5 n
C)
m2 n5
D)
4)
m5 n7
Let a be a rational number and b be an irrational number.
(a)(b) = c, assume c is rational
ab
a
=
c
a
b=
c
a
, so b is rational, contradicting the initial assumption.
The proof shows that the product of an irrational and rational number is
______________. Explain.
A)
rational. Since an irrational number cannot equal a rational number.
B)
irrational. Since an irrational number cannot equal a rational number.
C)
rational. Since you can write it as the division of two rational numbers.
D)
irrational. Since you can write it as the division of two rational numbers.
5)
Determine the measure of ∠DGF.
A)
B)
22°
29.5°
C)
70°
D)
81°
6)
An equation of the line passing through points A and C is
A)
y-2=0
B)
y+2=0
C)
D)
x + y = -2
x - y = -2
7)
What is the volume of this rectangular prism?
A)
11 cm3
B)
30 cm3
C)
D)
36 cm3
72 cm3
Share room and own pets
8)
Shares a Room Does not share a room
Has a Cat
6
4
Has a Dog
10
5
Neither Cat nor Dog
5
3
Damien is trying to see if there is a relationship between owning a pet and sharing a
room with a sibling. He interviewed his classmates and displayed his results in the twoway table shown. Which statement is true?
More than half of his classmates have a dog.
A)
B)
It is more likely for a classmate who owns pet to share a room.
C)
More than 10% of his classmates do not own a pet and don't share a room.
D)
It is less likely for one of his classmates to have a cat and share a room than have
a dog and not share a room.
9)
Given that ABCD is a parallelogram, what must be proven to prove that the diagonals
bisect each other?
A)
ΔACD≅ΔABD
B)
AB||CD
C)
AD≅CB
D)
AO≅OD
10)
A section of a roller coaster track forms a parallelogram ABCD.
If m∠ABC = 72°, what is m∠DAB?
A)
72°
B)
108°
C)
144°
D)
216°
11)
Given line AB with point P above, Grace was asked to construct a line parallel to line AB.
She used her compass and straight edge to draw line PQ parallel to line AB using a
transversal line PT. Which statement is true?
A)
AT = QP
B)
PR = TB
C)
∠PTB = ∠PTA
D)
∠SPR = ∠PTB
12)
DeAndre has two glass cylinders whose dimensions are shown in the diagram. He wants
to determine which cylinder will hold the most water. Which of the formulas will help him
determine which cylinder could hold the most water?
A)
V = 2πrh
V =πr2h
B)
V=
C)
4
3
π3
D)
13)
V = 2πrh + 2π3
In the graphs of four functions shown above, only one is an even function.
Identify the graph of the even function.
A)
B)
C)
D)
14)
Joey has a beach ball with a radius of 20 cm. What volume of air will it hold when fully
inflated?
A)
83.8 cm3
B)
251.4 cm3
C)
D)
1676.2 cm3
33,510.3 cm3
15)
The pink trapezoid has been dilated to the blue trapezoid. What was the center of the
dilation?
(0, 0)
A)
B)
(-1, -1)
C)
(-2, -2)
D)
(-3, -3)
16)
f(x) = (x + 1)3, with domain {x: x > 1}
The RANGE of the function f is
A)
{y: y > 1}
B)
{y: y < 1}
C)
{y: y > 8}
D)
{y: y < 8}
17)
Pedro has been given two segments and the measure of an angle between them. He is
trying to construct a congruent triangle. This is what he has done so far. What step has he
just completed?
A)
Copy the angle.
B)
Copy the first line segment.
C)
Construct the segment between the endpoints of the two copied line segments.
D)
Copy the second line segment with one endpoint at the same endpoint of the first line
segment.
18)
The owner of Ray’s Deli wants to find out if there is a relationship between the temperature
in summer and the number of glasses of lemonade he sells. From the data shown in this
scatter plot, you can tell that the
A)
hotter the temperature, the more lemonade was sold.
B)
cooler the temperature, the more lemonade was sold.
C)
most lemonade was sold when temperatures were above 90°F.
D)
19)
data shows no relationship between temperature and lemonade sales.
Which graph shows the line of best fit for the scatterplot?
A)
B)
C)
D)
* Hover over answer image to enlarge
20)
If two sides of a triangle are 3 cm and 5 cm in length, which could NOT be the measure
of the third side?
A)
2 cm
B)
3 cm
C)
4 cm
D)
5 cm
21)
A company is designing a label for a new cylindrical container. The container and some of
its dimensions are shown. The label will be the same height as the container and will not
overlap itself and will cover the entire side of the cylinder. What will be the area of the label?
A)
3π(8.75) cm2
B)
6π(8.75) cm2
C)
9π(8.75) cm2
D)
12π(8.75) cm2
22)
On a sunny day an office building casts a shadow that is 80 feet long. At the same time, a 5
foot person casts a 6 foot shadow. Determine the height of the office building to the nearest
foot.
A)
30 feet
B)
67 feet
C)
79 feet
D)
82 feet
23)
Which number can be added to a rational number to explain that the sum of rational number
and a irrational number is irrational?
A)
π
B)
-8 7/8
C)
16
D)
81
24)
Which property is always true for a quadrilateral inscribed in a circle?
A)
Opposite angles are congruent.
B)
Opposite angles are complementary.
C)
Opposite angles are supplementary.
D)
The quadrilateral must be a parallelogram.
25)
Daniel wants to have a 90 average in his math class at the end of the year. He is trying to
determine what he needs to get on his final exam, which accounts for 10% of his grade, for
this to work. Tests are weighted 50% of the grade, and he currently has a 85 for his test
average; quizzes are weighted 15% of his grade, and he currently has a 95 quiz average;
homework is weighted 15% of his grade and he currently has a 98 homework average; and
projects are weighted 10% of his grade and he currently has a 92 project average. What
does Daniel need to get on his final exam for him to end up with a 90 in the class?
A)
9.35
B)
80
C)
93
D)
94
26)
You are given rectangle ABCD on the grid shown and are told that the figure is to be dilated
from the origin, but you are not told by what factor. Which COULD be the new coordinates
of point D?
A)
(-8, -4)
B)
(-2, -2)
C)
(-2, -4)
D)
(2, 4)
27)
Find cos (22.5°).
A)
B)
C)
D)
* Hover over answer image to enlarge
28)
We plan to construct a line segment through point P and perpendicular to line segment
EF. What is the SMALLEST number of compass adjustments with which this can be
done?
29)
A)
1
B)
2
C)
3
D)
4
Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Then, find the
volume of the cylinder if the radius is increased to 10 cm. Leave your answers in term of pi.
If the radius of the cylinder is doubled does the volume of the cylinder double?
A)
100π cm2; 200π cm2; yes
B)
100π cm2; 200π cm2; no
C)
250π cm2; 1000π cm2; yes
D)
250π cm2; 1000π cm2 ; no
30)
Which equation matches the graph?
A)
y = (x + 3)(x - 2)
B)
y = (x - 3)(x + 2)
C)
y = (x + 3)(x + 2)
D)
y = (x - 3)(x - 2)
The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its
standard form?
31)
A)
(x + 3)2 + (y + 2)2 = 4
B)
(x + 6)2 + (y + 4)2 = 4
C)
(x + 6)2 + (y + 4)2 = 10
D)
(x + 3)2 + (y + 2)2 = 10