Critical Thinking Math HS Exit-Level Sample Questions

Critical Thinking Math HS Exit-Level Sample Questions
Name: ____________________________________________
1)
Which of the following inequalities best describes the
range of the graph below?
A) -3 < x < 4
B) y < 4
2)
3)
B) 9,000 - 30y
6)
C) 2x + 3
D) 2x2 + 3x + 1
D)
In the diagram below, two parallel roads, Elm Street
and Oak Drive, are crossed by a third road, Walnut
Street.
Solve the following system of equations algebraically
and check:
3x - 2y = 22
2x + 5y = 2
A) (6,2)
B) (6,-2)
4)
A triangular area of a rectangular parking lot is being
turned into a recreational area for children. The
dimensions are shown in the diagram below.
Which of the following expressions represents the
area of the parking lot after the recreational area is
formed?
A) 9,000 - 60y
C) 60(150 - y)
C) x < 4
D) -3 < y < 4
The area of a rectangle is 6x3 + 9x2 + 3x and one
side is 3x. What is the length of the other side?
A) 6x2 + 9x
B) 2x2 + 3x
5)
C) (-2,6)
D) (2,6)
As a fundraiser for their club, members sold magazine
subscriptions. Juan, Steve, and Beth worked together.
Juan sold six more than Steve. Beth sold half as many
as Juan. What is an equation that can be used to find
the number of subscriptions Steve sold if together
they sold 39 subscriptions?
7)
A) 2x + 6 + (x + 6) = 39
B) x + 6 + (x + 6) = 39
C) 2x + 6 + 2(x + 6) = 39
D) 2x + 6 + x = 39
8)
What is the number of degrees in the acute angle
formed by the intersection of Walnut Street and Elm
Street?
A) 54D
B) 45D
C) 16D
D) 65D
What is the slope of the linear equation
5y - 10x = -15?
A) 10
C) -15
B) -10
D) 2
Jeannette was given a $100.00 gift certificate to a day
spa. Each time she makes a trip to the spa (t) $15.00
is deducted from her gift certificate. What is an
equation that can represent her balance (b) in terms
of t?
A) b = 100t - 15
C) b = 100 - 15t
B) b = 100t + 15
D) b = 100 + 5t
9)
A surveyor needs to find the width of the Arkansas
River just north of Central City, Arkansas. Sighting a
flagpole on the riverbank at the campground directly
across the river, the surveyor walks 95 yards along
the riverbank.
If the line of sight to the flagpole from the surveyors
new location is 64D, what is the width of the river?
[Round to the nearest whole yard.]
A) 42 yds
C) 85 yds
B) 46 yds
D) 195 yds
11)
Lydia plans to cover the three rectangular faces of a
pillow with fabric. The pillow is in the shape of the
right triangular prism below.
How many square inches of fabric will Lydia need to
cover all the rectangular faces of the prism?
A) 360 in2
B) 204 in2
C) 300 in2
D) 420 in2
12)
Rochelle bought a picnic table on sale for 50% off the
original price. The store charged her 10% tax, and her
final cost was $22.00. Rochelle would like to know
the original price of the picnic table. What is an
equation that can be used to solve the problem if
x = the original price?
A) 0.10(x + 0.50x) = 22
B) 0.10(x - 0.50x) = 22
C) 0.50x + 0.05x = 22
D) 22 + 0.10x = 0.50x
13)
A company is making a 5-foot high cylindrical fish
tank for the San Antonio Aquarium. The new plan is
shown below.
10)
What are the coordinates of the vertex of the given
parabola after a reflection in the x-axis?
A) (-1,4)
C) (1,-4)
B) (-1,-4)
D) (4,1)
What is the volume of the fish tank, to the nearest
tenth of a cubic foot?
14)
15)
Which one of the following histograms represents the table below?
A)
C)
B)
D)
A forest ranger is trying to determine the distance across Lake Warren from point A to Point C as shown in the
diagram below. She has drawn triangles using known distances so that AACB is congruent to ADEB.
(a) Explain why hDBE is similar to hABC.
(b) Write a proportion that could be used to find the distance between point A and point C.
(c) Solve the proportion in part (b) to determine the distance in miles across Lake Warren along AC. [Show all
work.]