ASSESSMENTXAMPLES
EXAMPLES FOR
Math A
1A.
In a school of 320 students, 85 students are in the band, 200 students are on
sports teams, and 60 students participate in
both activities. How many students are involved in either band or sports?
Show how you arrived at your answer.
1B.
“If Mary and Tom are classmates, then they go to the same school.”
Which statement below is logically equivalent ?
A. If Mary and Tom do not go to the same school, then they are not classmates.
B. If Mary and Tom are not classmates, then they do not go to the same school.
C. If Mary and Tom go to the same school, then they are classmates.
D. If Mary and Tom go to the same school, then they are not classmates.
2A.
A clothing store offers a 50% discount at the end of each week that an item
remains unsold. Patrick wants to buy a shirt
at the store and he says, “I’ve got a great idea! I’ll wait two weeks , have 100%
off, and get it for free!” Explain to your
friend Patrick why he is incorrect, and find the correct percent of discount on
the original price of a shirt.
2B.
For what value t is 
true?
A. 1
B. 0
C. -1
D. 4
3A.
Mr. Cash bought d dollars worth of stock. During the first year, the value of
the stock tripled. The next year, the value of
the stock decreased by $1,200.
Part A
Write an expression in terms of d to re present the value of the stock after two
years.
Part B
If an initial investment is $1,000, de termine its value at the end of 2 years.
3B.
If 0.0154 is expressed in the form 1.54 x 10n, n is equal to
A. -2
B. 2
C. 3
D. -3
3C.
Pentagon RSTUV has coordinates R (1,4), S (5,0), T (3,-4), U (-1,-4), and V
(-3,0).
• On graph paper , plot pentagon RSTUV.
• Draw the line of symmetry of pentagon RSTUV.
• Write the coordinates of a point on the line of symmetry.
4A.
A 10-foot ladder is placed against the side of a building as shown in Figure 1
below. The bottom of the ladder is 8 feet
from the base of the building. In order to increase the reach of the ladder
against the building, it is moved 4 feet closer to
the base of the building as shown in Figure 2.
To the nearest foot, how much farther up the building does
the ladder now reach?
Show how you arrived at your answer.
4C.
A de sign was constructed by using two rectangles ABDC and A’B’D’C’. Rectangle
A’B’D’C’ is the result of a translation
of rectangle ABDC. The table of translations is shown
below. Find the coordinates of points B and D’.
4D.
The distance between points P and Q is 8 units. How many points are equidistant
from P and Q and also 3 units from P?
A. 1
B. 2
C. 0
D. 4
4E.
Mary purchased 12 pens and 14 notebooks for $20. Carlos bought 7 pens and 4
notebooks for $7.50. Find the price of one
pen and the price of one notebook , algebraically .
5A.
Ms. Brown plans to carpet part of her living room floor. The living room floor
is a square 20 feet by 20 feet. She wants to
carpet a quarter-circle as shown below.
Find, to the nearest square foot, what part of the floor will remain uncarpeted.
Show how you arrived at your answer
5C.
Jed bought a generator that will run for 2 hours on a liter of gas. The gas tank
on the generator is a rectangular prism
with dimensions 20 centimeters by 15 centimeters by 10 centimeters as shown
below.
If Jed fills the tank with gas, how long will the generator run?
Show how you arrived at your answer.
5D.
On his first 5 biology tests, Bob received the following scores: 72, 86, 92, 63,
and 77. What test score must Bob earn on
his sixth test so that his average (mean) for all six tests will be 80% ?
Show how you arrived at your answer.
5E.
The tailgate of a truck is 2 feet above the ground. The
incline of a ramp used for loading the truck is 11o, as
shown.
Find, to the nearest tenth of a foot, the length of the ramp.
5F.
Joan has two square garden plots. The ratio of the lengths of the sides of the
two squares is 2:3. What is the ratio of their
areas?
A. 2:3
B. 3:2
C. 4:9
D. 9:4
5G.
What is the distance between points A (7,3) and B (5,-1)?
5I.
In the figure shown below, each dot is one unit from an adjacent horizontal or
vertical dot.
Find the number of square units in the area of quadrilateral ABCD.
Show how you arrived at your answer.
6B.
Paul is playing a game in which he rolls two regular six-sided dice.
What is the probability that he will roll two doubles in a row?
6C.
The graph below shows the hair colors of all the students in a class.
What is the probability that a student chosen at random from
this class has black hair?
6D.
Erica cannot remember the correct order of the four digits in her ID number. She
does remember that the ID number
contains the digits 1, 2, 5, and 9. What is the probability that the first three
digits of Erica’s ID number will all be odd
numbers?
A. 1/4
B. 1/3
C. 1/2
D. 3/4
7A.
Which of the following tables represents a linear relationship between the two
variables x and y?
7B.
Write an equation to represent the price (P) of mailing a letter that weighs a
certain number of ounces (x) if the cost is
$0.32 for the first ounce and $0.23 for each additional ounce. Show how that
equation would be used to determine the
cost of mailing a 4-ounce letter.
7C.
Two video rental clubs offer two different rental fee plans:
Club A charges $12 for membership and $2 for each rented video.
Club B has a $3 membership fee and charges $3 for each rented video.
The graph drawn below represents the total cost of renting
videos from Club A.
Part A
On the same set of xy-axes, draw a line to represent the total cost of renting
videos from Club B.
Part B
For what number of video rentals is it less expensive to belong to club A?
Explain how you arrived at your answer.
7D.
The figure below represents the distances traveled by car A and car B in 6
hours.
Which car is going faster and by how much? Explain how you
arrived at your answer.
7E.
A corner is cut off a 5-inch by 5-inch square piece of paper. The cut is x
inches from
a corner as shown below.
Part A
Write an equation, in terms of x, that represents the area, A, of the paper
after the
corner is removed .
Part B
What value of x will result in an area that is 7/8 of the area of the original
square piece of paper?
Show how you arrived at your answer.
