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Tuesday, April 26 th 4:00‐8:00
**Math Exit Level Re‐test is April 27 th **
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Texas Assessment
of Knowledge and Skills
MATHEMATICS
Exit Level
2010 Released Items
Copyright © 2010, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited
without express written permission from the Texas Education Agency.

TAKS Exit Level Mathematics 2010 Released Items
Objective 1
1 Which graph best represents the relationship shown in the table below?
9
8
7
6
5
4
3
2
1
A x C
–2
–3
–4
–5
9
8
7
6
5
4
3
2
y
1
B
x
D
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
–6
–7
–8
–9
x
y
–1
3
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
0
2
Page 2
1
3
2
6
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
y
–6
–7
–8
–9
x
x

TAKS Exit Level Mathematics 2010 Released Items
Objective 1
2 The table below shows the dollar value of an antique item over time.
Based on the information in the table, what was the approximate value of this item in 1980?
A $4300
B $4700
C $5000
D $4500
Value of an Antique
Item over Time
Year
1960
1975
1990
2005
Page 3
Value
(dollars)
2000
4000
6000
8000

TAKS Exit Level Mathematics 2010 Released Items
Objective 1
3 Which of the following graphs does not represent y as a function of x?
9
8
7
6
5
4
3
2
1
A x C
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
y
1
B
x
D
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
–6
–7
–8
–9
Page 4
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
y
–6
–7
–8
–9
x
x

TAKS Exit Level Mathematics 2010 Released Items
Objective 2
1 Which of the following are the domain and
range for the graph shown below?
40
36
32
28
24
20
16
12
8
4
0
y
1
A 0 ≤ x ≤ 4
0 ≤ y < 36
2
B 0 ≤ x ≤ 36
0.5 ≤ y ≤ 3.5
C 0.5 < x < 3.5
0 < y < 36
D 0.5 ≤ x ≤ 3.5
0 ≤ y ≤ 36
3 4
5
x
Page 5
2 Walker is taking a strength-training class. He
hopes to increase the number of pounds that
he can lift by 25% in 6 weeks. If x represents
the number of pounds Walker was able to lift
at the time he started the class, which
expression best represents the number of
pounds he wants to be able to lift in 6 weeks?
A 6x + 0.25x
B x + 0.25x
C 6(x + 0.25x)
D x + 25x
3 If a rectangular poster has an area of
(2x 2 − 9x + 10) square units, which of the
following could describe the dimensions of the
poster?
A (2x − 2) units by (x − 5) units
B (2x − 10) units by (x + 1) units
C (2x − 5) units by (x − 2) units
D (2x − 1) units by (x − 10) units

TAKS Exit Level Mathematics 2010 Released Items
Objective 3
1 Which situation is best represented by the
function f (x), where f (x) = 12x + 5?
A An office-supply store sells x boxes of
ballpoint pens that contain a dozen pens
per box for $5 each.
B An Olympic swimmer trains by swimming
12 kilometers on each of x weekdays and
5 kilometers on each day of the weekend.
C An algebra quiz has x problems worth 12
points each plus 5 extra-credit problems
worth 5 points each.
D A company sells x baseball caps for $12
each and charges a $5 shipping fee.
Page 6

TAKS Exit Level Mathematics 2010 Released Items
Objective 3
2 Mr. Czar wants to order some candy bars for the math team’s annual fund-raiser. The graph below
shows the total cost for an order of fewer than 5 boxes of candy bars, including the standard fee for
shipping and handling.
Total Cost
(dollars)
90
80
70
60
50
40
30
20
10
Based on the graph, which of the following best describes this situation?
A Each box of candy bars costs $36.
B Each box of candy bars costs $20.
C Each box of candy bars costs $16.
D Each box of candy bars costs $12.
Candy-Bar Orders
y
0 1 2 3 4 5
Number of Boxes
Page 7
x

TAKS Exit Level Mathematics 2010 Released Items
Objective 4
1 Each leg of an isosceles triangle is 9 inches
longer than one-half the length of the base. If
the perimeter of the isosceles triangle is
146 inches, what is the length of one leg of the
isosceles triangle?
A 64 in.
B 41 in.
C 50 in.
D 82 in.
Page 8

TAKS Exit Level Mathematics 2010 Released Items
Objective 4
2 Which of the following best represents the solution to the system of linear equations shown below?
9
8
7
6
5
4
3
2
3x − 8y =−19
6x + 3y = 22
1
A
x
C
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
y
1
B x D
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
–6
–7
–8
–9
Page 9
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
y
–6
–7
–8
–9
x
x

TAKS Exit Level Mathematics 2010 Released Items
Objective 5
1 Which lists the functions of the form y = ax 2
in order from the narrowest to the widest
graph?
A y =− x 2 , y = x 2 , y = x 2 , y =−2x 2
4 6 3
7
5 4
B y =−2x 2 , y = x 2 , y = x 2 , y =− x 2
6 3 4
5 4 7
C y = x 2 , y = x 2 , y =− x 2 , y =−2x 2
6 3 4
5 4 7
D y =− x 2 , y =−2x 2 , y = x 2 , y = x 2
4
6 3
7
5 4
2 If the graph of a function of the form
y = ax 2 + c has a vertex located above the
origin and opens downward, which of the
following must be true about the values of
a and c ?
A a < 0 and c > 0
B a > 0 and c > 0
C a < 0 and c < 0
D a > 0 and c < 0
Page 10
3 What is the solution set for the equation
4n 2 − 9 = 23?
A {−√ ___
3.5, √ ___
3.5}
B {−4√ __ 2, 4√ __ 2 }
C {−2√ __ 2, 2√ __ 2 }
D {−4, 4}

TAKS Exit Level Mathematics 2010 Released Items
Objective 6
1 The first 4 stages of a geometric pattern are shown below.
Stage 1
If each square represents 1 square unit, which expression can be used to determine the number of
square units at Stage n?
A (n + 1) 2 − 3
B 2n − 1
n
C (n + 1)
2
D 3(n − 1)
Stage 2
Page 11
Stage 3
Stage 4

TAKS Exit Level Mathematics 2010 Released Items
Objective 6
2 Quadrilateral QRST is graphed on the coordinate grid below.
–14 –13 –12 –11–10
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Which coordinates represent the vertices of a quadrilateral congruent to quadrilateral QRST?
A (−2, −2), (−4, 1), (−7, 0), (−7, −2)
B (1, 2), (−3, 5), (−1, 6), (1, 6)
C (3, 2), (0, −1), (1, −3), (3, −3)
D (0, −5), (−3, −2), (−5, −3), (−5, −5)
14
13
12
11
10
9
8
7
6
5
4
3
2
1
–2
–3
–4
–5
y
–6
–7
–8
–9
–10
–11
–12
–13
–14
Q
Page 12
T S
R
x

TAKS Exit Level Mathematics 2010 Released Items
Objective 7
1 Use the ruler on the Mathematics Chart to
find the net of the square pyramid that has a
base area of 2.25 square centimeters.
A
B
C
D
Page 13
2 Which of the following best describes the
graph of the system of equations shown
below?
6x − 14y =−28
3y − 7x =−14
A The lines are parallel.
B The lines are the same.
C The lines intersect but are not
perpendicular.
D The lines intersect and are perpendicular.

TAKS Exit Level Mathematics 2010 Released Items
Objective 8
1 Trapezoid LKNP is shown below.
L
17 in.
Which is closest to the area of trapezoid
LKNP?
A 276 in. 2
B 205 in. 2
C 289 in. 2
D 221 in. 2
23 in.
P
11 in.
K
N
Page 14

TAKS Exit Level Mathematics 2010 Released Items
Objective 8
2 Miguel has a cylinder with the dimensions shown below. The cylinder is filled to capacity with water.
If Miguel wants to pour all the water in this cylinder into 1 of the 4 rectangular prisms below without
any water spilling out of the prism, which of the following prisms should he use?
A C
16 cm
B D
18 cm
14 cm
15 cm
15 cm
8 cm
7 cm
Page 15
11.3 cm
16 cm
18 cm
11 cm
10 cm
11 cm
12 cm

TAKS Exit Level Mathematics 2010 Released Items
Objective 8
3 The drawing below can be used to find x, the
width of Pearl Pond at its widest point.
27 m
What is the value of x?
A 34 meters
B 36 meters
C 45 meters
D 22 meters
8 m
10 m
Pearl
Pond
x
Page 16

TAKS Exit Level Mathematics 2010 Released Items
Objective 9
1 Paulo keeps 5 pens of either blue or black ink
in his backpack. At the beginning of each
class, Paulo randomly selects a pen from his
backpack without looking and replaces it at
the end of each class. If he has randomly
selected a blue pen 39 times out of 100, which
is the most likely number of blue pens in
Paulo’s backpack?
A 3
B 1
C 4
D 2
Page 17

TAKS Exit Level Mathematics 2010 Released Items
Objective 9
2 The table below shows the approximate area in square miles of 6 deserts.
Approximate Area of Deserts
Desert
Gibson
Gobi
Great Sandy
Mojave
Nubian
Sahara
Which of the following conclusions is most accurate?
A The Sahara is more than 25 times the size of the Great Sandy Desert.
B The areas of the Gibson Desert and the Great Sandy Desert combined represent an area that is
only about 8% of the area of the Sahara.
C Two times the areas of the Great Sandy Desert and the Nubian Desert combined is more than the
total area of the Gobi and the Mojave Desert combined.
D Of the deserts listed in the table, the Sahara represents about 35% of the total area listed.
Page 18
Area
(square miles)
120,000
500,000
150,000
15,000
100,000
3,500,000

TAKS Exit Level Mathematics 2010 Released Items
Objective 10
1 After track practice James and Raphael competed against each other in a 120-yard race. Raphael gave
James a 10-yard head start. The table below shows the distances they had run after certain intervals of
time.
Time
(seconds)
James’s
Distance
(yards)
Raphael’s
Distance
(yards)
120-Yard Race
If both James and Raphael continued to run at the same rates for the rest of the race, which conclusion
can be made based on the information in the table?
A James was 10 yards behind when Raphael finished the race.
B Raphael was 2 yards behind when James finished the race.
C James and Raphael reached the finish line at the same time.
D Raphael ran the race at a constant rate of 10 yards per second.
2 Andi is learning about special right triangles. She claims that if a right triangle has side lengths that
are integers, then the mean of the lengths of the shortest side and the longest side is equal to the
length of the remaining side. Which of the following examples disproves Andi’s claim?
A A triangle with side lengths of 39 units, 52 units, and 65 units
B A triangle with side lengths of 10 units, 24 units, and 26 units
C A triangle with side lengths of 18 units, 24 units, and 30 units
D A triangle with side lengths of 6 units, 8 units, and 10 units
0
Page 19
1 2 3 4
10 20 30 40 50
0 12 24 36 48

TAKS Exit Level Mathematics 2010 Released Items
Answer Key
Item Student Correct
Number Expectation Answer
OBJECTIVE 1
1 A.1 (D) D
2 A.1 (E) B
3 A.1 (B) A
OBJECTIVE 2
1 A.2 (B) D
2 A.3 (A) B
3 A.4 (A) C
OBJECTIVE 3
1 A.5 (A) D
2 A.6 (A) C
OBJECTIVE 4
1 A.7 (B) B
2 A.8 (B) D
OBJECTIVE 5
1 A.9 (B) B
2 A.9 (D) A
3 A.10 (A) C
OBJECTIVE 6
1 G.5 (B) C
2 G.10 (A) A
OBJECTIVE 7
1 G.6 (B) B
2 G.7 (B) C
OBJECTIVE 8
1 G.8 (C) B
2 G.8 (D) D
3 G.11 (C) C
OBJECTIVE 9
1 8.11 (B) D
2 8.13 (B) B
OBJECTIVE 10
1 8.14 (B) A
2 8.16 (B) B
Page 20

Texas Assessment
of Knowledge and Skills
MATHEMATICS
Exit Level
2008 Released Items

TAKS Exit Level Mathematics 2008 Released Items
Objective 1
1 Which of the following does not represent a
function?
A {(−6, 4), (3, −5), (0, −2), (−1, −1)}
B y = 3x 2 − 2
C
D y =
x y
−2 15
6 9
−5 −10
−2 −6
3 4
4x − 3
5
Page 2

TAKS Exit Level Mathematics 2008 Released Items
Objective 1
2 Which graph best represents the inequality y ≥ x 2 − 4?
9
8
7
6
5
4
3
2
1
A x C
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
1
y
B x D
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
–6
–7
–8
–9
Page 3
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
y
–6
–7
–8
–9
x
x

TAKS Exit Level Mathematics 2008 Released Items
Objective 1
3 The graph below shows John’s weekly
earnings as a function of his total weekly
merchandise sales.
Total Weekly Earnings
(dollars)
y
260
220
180
140
100
0
Which is closest to John’s total earnings if he
sells $650 of merchandise in one week?
A $220
B $260
C $240
D $250
John’s Weekly Earnings
100 200 300 400
x
500
Total Weekly Sales
(dollars)
Page 4

TAKS Exit Level Mathematics 2008 Released Items
Objective 2
1 In the United States, currency is removed from circulation when it wears out. The scatterplot shows
the average life span of different denominations of U.S. currency according to the U.S. Federal Reserve
System.
Average
Life Span
(years)
9
8
7
6
5
4
3
2
1
0
10
Which is a correct conclusion based on the data in this scatterplot?
A The data represent a linear function.
B The independent variable is the average life span.
C The bills of smaller denomination have a longer life span.
D The average life span of a bill depends on its denomination.
20
2 Which algebraic expression is equivalent to
the phrase “5 less than the sum of x and y”?
A (x + y) − 5
B (x − y) + 5
C 5 − (x + y)
D 5 − x + y
50 100
Denomination of Bill
(dollars)
Page 5

TAKS Exit Level Mathematics 2008 Released Items
Objective 2
3 The squares below are arranged in a sequence to produce a geometric pattern.
2
2 2
2 2 2 2 2
2
2 2
Which expression can be used to determine the perimeter of a composite figure made of s squares
arranged in this pattern?
A 8s
B 8s − 4
C 4s + 4
D 4s
4 Simplify the algebraic expression
2(5x + 4) + 3x − (7 − x).
A 9x − 1
B 11x − 1
C 12x + 1
D 14x + 1
2
2
2
2
Page 6
2
2
2 2
2
2
2
2
2
2
2
2
2

TAKS Exit Level Mathematics 2008 Released Items
Objective 3
4
1 Which of the following tables best represents a linear function with a rate of change of − ?
5
x y
−6
6.5
−4 4
A
−2 1.5
C
6 −8.5
10 −13.5
x y
−3
5.4
−1 3.8
B
3 0.6
D
5 −1
8 −3.4
Page 7
x y
−4
−2
1
4
6
−2
0.5
4.25
8
10.5
x y
−7
−4
−1
3
5
−10.6
−8.2
−5.8
−2.6
−1

TAKS Exit Level Mathematics 2008 Released Items
Objective 3
2 Some employees of Ace Corporation left their office building and drove separately on the same road to a
convention. The graph shows the distance traveled by each employee after 5 hours of nonstop driving at
4 different speeds.
Distance
(miles)
Which employee drove at the slowest rate to the convention?
A Mr. Able
B Ms. Ruiz
C Ms. Woo
D Mr. Hill
Trip to Convention
Time
(hours)
Page 8
Ms. Woo
Mr. Hill
Mr. Able
Ms. Ruiz

TAKS Exit Level Mathematics 2008 Released Items
Objective 3
3 Find the points at which the graph of the
equation −4y = 15 − 5x crosses the x-axis and
the y-axis.
A (0, −3.75) and (3, 0)
B (0, 3) and (0, −3.75)
C (−3.75, 0) and (0, 3)
D (3, 0) and (−3.75, 0)
Page 9

TAKS Exit Level Mathematics 2008 Released Items
Objective 4
1 Mr. Benítez wants to buy a carton of oranges for $32.50. Each orange weighs about 4.6 ounces and will
be packed into a carton that holds between 18 and 22 pounds. What is the greatest number of oranges
that the carton can hold without its weight limit being exceeded?
A 76
B 62
C 82
D 101
2 Which is the solution to this pair of linear
equations?
A (3, −2)
B (5, −2)
C (7, 4)
D (8, −4)
5y − 2x = 6
3x − 2y = 13
Page 10
3 Kelly will enclose her rectangular tomato
garden with 32 feet of fencing material. She
wants the length of the garden to be at least
three times the width. What is the minimum
length that will meet Kelly’s conditions?
A 24 ft
B 12 ft
C 8 ft
D 4 ft

TAKS Exit Level Mathematics 2008 Released Items
Objective 5
1 How does the graph of y = 3x 2 differ from the
graph of y =−x 2 ?
A The graph of y = 3x 2 opens upward and is
narrower.
B The graph of y = 3x 2 opens upward and is
wider.
C The graph of y = 3x 2 opens downward and
is narrower.
D The graph of y = 3x 2 opens downward and
is wider.
Page 11

TAKS Exit Level Mathematics 2008 Released Items
Objective 5
2 Which inequality describes the value of a in the graph of y = ax 2 + bx + c if this equation models the
height of the section of the roller coaster shown below?
A −1 < a < 0
B a 0
D a < 0
Page 12

TAKS Exit Level Mathematics 2008 Released Items
Objective 5
3 What are the zeros of the function
f (x) =−4(x − 3)(x + 5)?
A −12 and 20
B −5 and 3
C −4 and −5
D −3 and 5
Page 13
4 Which expression is equivalent to
−(3x
?
2 y) 2 (4xy 2 )
6xy 3
A −6x 4 y
B 6x 2 y
C −2x 2
D 2x 4 y

TAKS Exit Level Mathematics 2008 Released Items
Objective 6
1 Which of the following does not necessarily
represent line l parallel to line m and
intersected by line t?
A
B
C
D
t
t
l
m
l
m
l
t
l
t
m
m
Page 14
2 If a circle were divided into 4, 6, or 9 equal
sectors, which of the following shows the
respective measures of the central angles of
the sectors?
A 90°, 60°, 40°
B 45°, 30°, 20°
C 90°, 60°, 45°
D 180°, 90°, 60°
3 ΔKMS has a right angle at M. The measure of
∠MSK = 60°, and KS = 17 centimeters.
Which is closest to the length of KM?
A 9 cm
B 12 cm
C 10 cm
D 15 cm

TAKS Exit Level Mathematics 2008 Released Items
Objective 6
4 ΔKQT is graphed on the grid.
Which of the following best represents an image of ΔKQT translated 2 units to the left and reflected
across the x-axis?
A 1
x
C
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
T'
T'
Q'
9
8
7
6
5
4
3
2
–2
–3
–4
–5
9
8
7
6
5
4
3
2
y
1
B x D
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
–6
–7
–8
–9
K'
Q'
K'
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
–5
y
–6
–7
–8
–9
T
Page 15
Q
K
x
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1 0
–1
1 2 3 4 5 6 7 8 9
T'
9
8
7
6
5
4
3
2
1
–2
–3
–4
–5
–2
–3
–4
–5
y
–6
–7
–8
–9
y
–6
–7
–8
–9
T'
Q'
Q'
K'
K'
x
x

TAKS Exit Level Mathematics 2008 Released Items
Objective 7
1 Which net best represents the prism shown below?
A C
B D
Page 16

TAKS Exit Level Mathematics 2008 Released Items
Objective 7
2 The front, side, and top views of a solid built of cubes are shown below.
How many cubes were needed to construct this solid?
A 13
B 14
C 15
D 21
Front
Side Top
Page 17

TAKS Exit Level Mathematics 2008 Released Items
Objective 7
3 Line segment JK is graphed on the coordinate
grid.
Which of the following best represents the
slope of a line perpendicular to segment JK?
3
A −
8
B
C
8
3
3
8
D − 8
3
J
–9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9
–1
–2
–3
–4
–5
y
9
8
7
6
5
4
3
2
1
–6
–7
–8
–9
K
x
Page 18
4 ΔABC has vertices at A (0, 0), B (9, 12), and
C (25, 0). What is the distance between the
midpoint of AB and the midpoint of AC?
A 7.5 units
B 10 units
C 15 units
D 20 units

TAKS Exit Level Mathematics 2008 Released Items
Objective 8
1 The dimensions of 3 connected stores are
shown below.
275 ft
Music
Palace
60 ft
How many square feet of floor space are used
by the 3 stores?
A 9,600 ft 2
B 11,280 ft 2
C 21,141 ft 2
D 42,021 ft 2
188 ft
243 ft
Video Arcade
128 ft
Sports
Galore
75 ft
215 ft
Page 19
2 Use the ruler on the Mathematics Chart to
measure the radius of the circle to the nearest
tenth of a centimeter.
Which is closest to the length of XYZ?
A 3 cm
B 4 cm
C 12 cm
D 16 cm
Y
R
75°
X Z

TAKS Exit Level Mathematics 2008 Released Items
Objective 8
3 Jeff used the indirect method of measurement to find the height of a flagpole. He first placed a mirror
on the ground 98 feet from the flagpole. The dimensions Jeff measured are shown in the drawing.
5.5 ft
What is the approximate height of the flagpole?
A 20.5 ft
B 37.2 ft
C 258.4 ft
D 618.8 ft
14.5 ft 98 ft
Mirror
Page 20
Flagpole

TAKS Exit Level Mathematics 2008 Released Items
Objective 9
1 The drawing below shows three gears.
Gear
A Gear
B
The ratio of the rotation rate of Gear A to
Gear B is 3:1, which is equal to the rotation
rate of Gear B to Gear C. If Gear A rotates at a
rate of 270 cycles per minute, what is the
rotation rate of Gear C?
A 30 cycles per minute
B 90 cycles per minute
C 810 cycles per minute
D 2430 cycles per minute
Gear
C
Page 21
2 Nikolai has a jar filled with 120 marbles. He
has 72 red marbles, 17 blue marbles, 13 green
marbles, and 18 purple marbles. What is the
probability that he will randomly select a
blue marble, without replacement, and then a
purple marble from the jar?
A
B
C
7
24
3
140
17
800
D 13
840
3 Patti is on the varsity softball team. So far
this season she has 55 hits in 82 times at bat.
Based on this information, which is most
likely to be the total number of hits Patti will
have for the season if she bats 15 more times?
A 10
B 22
C 65
D 70

TAKS Exit Level Mathematics 2008 Released Items
Objective 10
1 A 14-foot ladder is leaning against a house so
that its top touches the top of the wall. The
bottom of the ladder is 8 feet away from the
wall. Which of these can be used to find the
height of the wall?
A In a right triangle with a 14-foot leg and
an 8-foot leg, find the length of the
hypotenuse.
B In a right triangle with a 14-foot leg and
an 8-foot leg, find the altitude to the
hypotenuse.
C In a right triangle with a 14-foot
hypotenuse and an 8-foot leg, find the
length of the other leg.
D In a right triangle with a 14-foot
hypotenuse and an 8-foot leg, find the
altitude to the hypotenuse.
2 Mr. Franco is making a triangular cement slab
and needs to set boards before he can pour the
cement. He has already set two boards that
are 5 feet and 8 feet in length. What is a
reasonable range for the length of the third
board that Mr. Franco could set for this
triangular cement slab?
A The third board needs to be greater than
3 feet in length.
B The third board can be between 3 feet and
13 feet in length.
C The third board needs to be less than
13 feet in length.
D The third board can be 3 feet or 13 feet in
length.
Page 22
3 If the horizontal or vertical distance between
adjacent pegs in the geoboard shown below is
1 unit, which is closest to the area of the
polygon modeled on the geoboard?
A 23 units 2
B 18 units 2
C 15 units 2
D 21 units 2
4 ΔXYZ has a right angle at point Y. Point W is
between points X and Z. WY is perpendicular
to XZ. According to this information, which of
the following is true?
A ΔZYW ∼ ΔXYZ
B ΔYZW ∼ ΔXYZ
C ΔXWY ∼ ΔXYZ
D ΔWYZ ∼ ΔXYZ

TAKS Exit Level Mathematics 2008 Released Items
Answer Key
Item Student Correct
Number Expectation Answer
OBJECTIVE 1
1 A.1 (B) C
2 A.1 (D) A
3 A.1 (E) D
OBJECTIVE 2
1 A.2 (D) D
2 A.3 (A) A
3 A.3 (B) C
4 A.4 (B) D
OBJECTIVE 3
1 A.6 (A) B
2 A.6 (B) B
3 A.6 (E) A
OBJECTIVE 4
1 A.7 (C) A
2 A.8 (B) C
3 A.8 (C) B
OBJECTIVE 5
1 A.9 (B) A
2 A.9 (D) C
3 A.10 (B) B
4 A.11 (A) A
OBJECTIVE 6
1 G.4 (A) C
2 G.5 (B) A
3 G.5 (D) D
4 G.10 (A) D
OBJECTIVE 7
1 G.6 (B) D
2 G.6 (C) A
3 G.7 (B) B
4 G.7 (C) B
OBJECTIVE 8
1 G.8 (A) D
2 G.8 (B) C *
3 G.11 (B) B
OBJECTIVE 9
1 8.3 (B) A
2 8.11 (A) B
3 8.11 (B) C
Page 23

TAKS Exit Level Mathematics 2008 Released Items
Answer Key
Item Student Correct
Number Expectation Answer
OBJECTIVE 10
1 8.14 (A) C
2 8.14 (B) B
3 8.14 (C) B
4 8.16 (B) C
* When printing a ruler item, make sure that the Print Menu is
set to print the page at 100% to ensure that the art reflects the
intended measurement.
Page 24