1. What information would help you solve this problem
On Saturday the hot dog stand had a promotion. Every 25th customer won a free soda and
every 40th customer won a free hotdog. Did any customer win both a soda and a hotdog if
there were 300 customers on Saturday?
A.
B.
C.
D.
Knowing the greatest common factor of 25 and 40
Knowing the least common multiple of 25 and 40
Knowing how many customers came in on Friday
Knowing how many customers came in between the 1st soda
winner and the 1st hotdog winner.
2. Maria bought a new sweater for $18.70. This price was 30% off the original
price. What was the original cost of the sweater?
A. $5.61
B. $13.09
C. $26.71
D. $48.70
3. Jon has taken three quizzes this marking period. He received an 83, 84 and 92 on
these quizzes. Which equation below shows how to calculate the grade Jon must earn on
his fourth quiz to have an average grade of 90?
A. 83 +84+92+90 = X
4
B. 83 +84+92 = 90
3
C. 83 + 84 +92 + X = 90
4.
D. 83 + 84 + 92 + X = 90
4
Which expression has the same value as │-6│+│-2│
A. 8
B.  8  2
C.  2  4
D. 8  4
5.
An automobile travels at rate of 60 miles per hour for 2 hours, and then reduces its speed
to 45 miles per hour and travels for another hour. What was the automobile’s average
speed for the entire 3 hours period?
A. 48 miles per hour
B. 52.5 miles per hour
C. 55 miles per hour
D. 57.5 miles per hour
6.
In 2001 , Beryl was 4 feet, 8 inches tall: her brother Myron was 4 inches shorter than she
was. After 2001, Beryl grew 3 inches each year and Myron grew 2 inches each year. How
tall were Beryl and Myron in 2005?
A. Beryl was 5 feet 4 inches tall: Myron was 5 feet 2 inches tall.
B. Beryl was 5 feet 5 inches tall: Myron was5 feet tall.
C. Beryl was 5 feet 8 inches tall: Myron was 5 feet 2 inches tall.
D. Beryl was 5 feet 8 inches tall: Myron was 5 feet tall.
7.
Solve the equation for d. 10  6d  20  6d
A. 
2
5
2
5
5
C.
6
B.
D. 2
8.
1
2
The math team won 9 out of its eleven competitions. The debate team won 8 out of its ten
competitions. Which team performed better?
A. The debate team
B. The math team
C. The performed equally as well
D. There is not enough information to make a determination
9. Stacy has 6 marbles in a bag: a red, an orange, a yellow, a blue, a green, and a white.
She randomly picks 2 marbles out of the bag one at a time without replacement. What
is the probability that she will first pick the orange marble and then pick the blue marble?
2
6
1
B.
6
1
C.
30
1
D.
36
A.
10. You and a group of 9 friends are playing basketball in a local park. At the end of the
game, if each player shakes hands with every other player once and only once, how many
handshakes will there be?
A. 36
B. 45
C. 81
D. 100
11. Jon’s exam grades for the last four months have been 85, 74, 25, 92, 88, 85, 94, 78, 60,
99. Find Jon’s mean and median scores and list any outliers?
A. mean 78, median 86.5, outlier 25.
B. mean 78, median 86.5, outlier 99.
C. mean 85, median 78, outlier 99
D. mean 78, median 85, outlier 25.
12.
A forester observed a portion of state forest land that was destroyed by fire last year.
As trees returned to the forest, she noticed that this plot of land had 1 tree in February, 2
trees in March, 3 trees in April, 5 trees in May, and 8 trees in June. If this pattern
continues, how many trees will there be in July?
A. 13
B. 17
C. 20
D. 21
13.
Which of the following numbers, when multiplied by 6, gives a product of 0.00006?
A. 105
B. 104
C. 10 4
D. 105
14.
Lisa bought a skirt that rang up at $12.28. She noticed that this was a discount of 20%
from the original price on the tag. What was the original price on the tag?
A. $14.74
B. $15.35
C. $9.82
D. $10.28
15.
One formula for calculating an adult’s shoe size (s) based on height (h) in inches is.
h  2( s  25) . Patrick is 74 inches tall. What is his shoe size, based on this formula?
A. 8
B. 10
C. 12
D. 14
16.
If a company charges a $15 screen-printing fee and then $7 per T-shirt, how many Tshirts were ordered if the total is $190?
A. 20
B. 25
C. 30
D. 35
17. If the measures of the angles of a triangle are in the ratio of 1 : 3 : 4, what type of triangle
is it?
A. Acute
B. Right
C. Obtuse
D. Equilateral
18. What is the area of the shaded region in the figure below?
A. 76.97
B. 615.75
C. 307.88
D. 153.94
14 in
The two mall circles are

19. In a class of 78 students 41 are taking French, 22 are taking German and 9 students are
taking both French and German. How many students are not enrolled in either course?
A.
B.
C.
D.
E.
6
15
24
33
54
2
of the height of its previous
5
bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will
it reach after its fourth bounce?
20. After being dropped a certain ball always bounces back to
A. 20
B. 15
C. 8
D. 5
E. 3.2
21. Courier charges for packages to certain destination are 65 cents for the first 250 grams
and 10 cents for each additional 100 grams or part thereof.
What could be the weight
in grams of a package for which the charge is $1.35?
A.
B.
C.
D.
E.
22.
1155
1145
1040
950
259
Which of the following could be a value of x, in the diagram below?
A
A. 10
B. 20
C. 40
D. 50
E. Any of the above
23.
D
C
ABCD is a square of side 3, and E and F are the mid points of sides AB and BC
respectively. What is the area of the quadrilateral EBFD?
A. 20.25
B. 3
C. 4
D. 4.5
E. 6
A
E
B
F
D
24.
B
C
Two equal circles are cut out of a rectangle of a card of dimensions 16 by 8. The circles
have the maximum diameter possible. What is the approximate area of the paper
remaining after the circles have been cut out?
A. 104
B. 78
C. 54
D. 27
E. 13
25.
During a workout, Alan measured his heart rate at 37 beats for a 15-second interval. At
that rate, how many times would Alan’s heart beat during a 20-minute workout?
A. 740
B. 2960
C. 4933
D. 11100
E. 300
26.
The curved surface of a cylindrical can is covered with a paper label. The curved surface
is entirely covered, and the ends of the label do not overlap. If the can has a height of 4
inches and a radius of 1 inch, what is the area of the paper label?
A. 4 square inches
B. 8 square inches
C. 4  square inches
D. 8  square inches
27. The circle graph below shows the daily schedule for the Smithtown pool. If the pool open
3120 hours per year, about how many hours per year are reserved for lap swimming?
A. 780
B. 1340
C. 1560
D. 1610
lap swim
free swim
Lessons
Diving
28. Lisa and Tom were running laps on a track. Lisa completed 15 laps in the same amount of
time it took Tom to complete 12 laps. If Tom averaged one lap every 1 minute and 15
seconds, what was Lisa’s average time per lap?
A. 45 seconds
B. 1 minute
C. 1 minute, 32 seconds
3
D. 1 minute, 33 seconds
4
OPEN-ENDED QUESTIONS
Show your work and clearly explain your answer. You will be graded on the correctness of
your method as well as the accuracy of your answer.
29. You receive two coupons in the mail for your favorite T-shirt store. The first coupon says
you can save 10% off of an entire purchase. The second coupon says you can save 10%
off each item you purchase. Which coupon will save you more money? Does it matter
which coupon you use? Why or why not? Assume you buy five T-shirts for $10.00 each,
prove whether or not one of the coupons will save more money than the other for this
purchase.
30. Jason’s older brother owes him $200. He offers to pay Jason $120 today and then
tomorrow, to pay him one-fourth of what he paid him today.
 If this pattern of paying one-fourth of what he paid the day before continues, how
much money will Jason’s brother have paid him in total by the end of day three?
 If this pattern continues, will Jason’s brother ever completely repay the loan? Justify
your answer.
31. A. Find the range for the function y = 3x2 + 1 if the domain is {-2, -1, 0, 1, 2}. Put your
answer in table format.
X
-2
-1
0
1
2
Y
B. Graph the y = 3x2 + 1 for the domain given in A.
C. Graph the relation represented by the following table on the same axis as part B.
X
Y
-2
3.25
-1
1
0
0.25
1
1
2
3.25
D. Compare the two functions and find the equation that represents the table in part C.
32. You can calculate compound interest using the formula FV  PV (1  i) p where FV is the
future value of the investment, PV is the present value, i is the percent interest rate
(written in decimal or fraction form) paid per period, and p is the number of periods over
which the interest is compounded. An account that is compounded semiannually, for
example, is compounded twice a year.
Thea put $2000 in a bank account that paid 5% interest, compounded annually. To the
nearest penny, what would be the value of the account in four year if Thea neither added
to nor withdrew from the account?
33. Ed and Shelly are circus clowns who make balloon animals. On a sunny promotional day,
Ed gave away a free small balloon to every 6th child who entered the big top, and Shelly
gave away a free large balloon to every 10th child who entered the big top. On that day
1200 children entered the big top.
A.
B.
C.
D.
How many free balloons did Ed give away?
How many free balloons did Shelly give away?
How many, if any, children received a balloon from both Shelly and Ed?
If the small balloons normally sell for $1.99 and large balloons normally sell
for $3.50, how much potential revenue did the circus give away?
Use the page below to answer question # 31
31. A. Find the range for the function y = 3x2 + 1 if the domain is {-2, -1, 0, 1, 2}. Put your
answer in table format.
X
Y
-2
-1
0
1
2
B. Graph the y = 3x2 + 1 for the domain given in A.
C. Graph the relation represented by the following table on the same axis as part B.
X
Y
-2
3.25
-1
1
0
0.25
1
1
2
3.25
D. Compare the two functions and find the equation that represents the table in part C.