Algebraic Reasoning Section Assessment
1. What are the next three items in the following numerical patterns?
 1, 3, 6, 10, 15,
,
,
, ...
 1, 4, 9, 16, 25, ,
,
, ...
 2, 6, 12, 20, ,
,
, ...
2. What is the nth term in each of the numerical patterns?
 1, 3, 6, 10, 15, , ...
 1, 4, 9, 16, 25, , ...
 2, 6, 12, 20, , ...
3. Examine the pattern below. Describe the generalization of this pattern.
1 + 3 = 4 = 2^{2}
1 + 3 + 5 = 9 = 3^{2}
1 + 3 + 5 + 7 = 16 = 4^{2}
4. Consider the visual pattern below and imagine that you
are building it with sticks. How many sticks will you need to build the
next octagon set? How many will you need to build the nth octagon set?
5. If it cost $5.50 for the first half mile of a taxi ride and $0.75 for
each additional quarter mile, how much will a sixmile trip cost? How much would it cost for an n mile trip?
6. For a civic organization gathering, the planners decided the ticket price was going to be a function of a person's years of participation
in the organization—specifically, T = Y^{2} + 12, where T is the price of
the ticket and Y is the number of years of participation. How much does
a ticket cost if the person has been active in the organization for seven
years? Approximately how long has a person been active in the organization
if they paid $156 for a ticket?
7. If you received a penny every day for 10 days, so that on the first
day, you received one penny, on the second day you received two pennies, on the third day, you received three pennies, and so on, how
many pennies (or how much money) would you have on day 10? How many (or
how much) would you have on the nth day?
8. Look at the pattern below. What is the generalization for the perimeter
of such a pattern?
9. Matthew is five years younger than
twice his sister's age. If we let "M" represent
Matthew's age
and "S" represent his sister's age,
which of the following equations represents the information
given?
A.
M = 5 – 2S
B. S = 5 – 2M
C. M = 2S – 5
D. S = 2M – 5 
Select your answer. 
10. For the set
of all real numbers, what is the solution set for the following
compound inequality?
3(x – 4) < 5x +2 and 2x < 8
A.
x < 7 and x < 4
B. x < 7 or x < 4
C. x > 7 or x < 4
D. x > 7 and x < 4 
Select your answer. 
Data Analysis Section Assessment
1. The data below represents the recent test results for Mr.
Sanson's Algebra II class.
Stem 
Leaf 
9 
9 8 7 5 4 
8 
8 7 7 5 4 3 
7 
9 8 8 7 
6 
7 5 4 4 3 
5 
5 5 4 
Which of the following boxwhisker plots corresponds to the
above stemleaf plot?
Select your answer.
2. Look at the triangles shown here and pick the best answer.
a. Triangle 1: Scalene
/ Triangle 2: Isosceles
b. Triangle 1: Isosceles /
Triangle 2: Right
c. Triangle 1: Equilateral /
Triangle 2: Isosceles
d. Triangle 1: Equilateral /
Triangle 2: Equilateral
For questions 36, select the best measure of central tendency for each
situation.
a = mean 
b = median 
c
= mode 
d = range 
3. Mr. Pryor, the school principal, is looking at student data. He noticed
that half of his ninthgrade class scored above the 65th percentile, while
half scored below the 65th percentile.
Select your answer.
4 .Rocco Biondi, the shortstop for the Clark Red Sox, has had 6 hits in his
last 9 turns at bats.
Select your answer.
5. Hal Brooks, the golf pro, is asking all the members of the Halstone
Country Club to turn in their score cards. He wants to observe the scores
on the first hole to see which score was most often recorded: birdie, par,
bogey, or double bogey.
Select your answer.
6. Mr. Sanfilippo is looking at his class data. On the last test he notices
the lowest score was a 45 and the highest a 94.
Select your answer.
7. Ann Cavanaugh is looking at a chart of her son's height over time. She notices that, at age
1, her son was 26 inches tall; at age 2, he was 34 inches tall; and, at age 3, he was 40
inches tall. Based on this data, Ann predicts that her son will be 44 inches at age
4.
a. Ann's prediction is too high.
b. Ann's prediction is too low.
c. Ann's prediction is about right.
Geometry Section Assessment
1. Vertical window blinds model which type of lines?
a. parallel lines
b. intersecting (nonperpendicular lines)
c. perpendicular lines
2. A tablecloth lying on top of a table models which pair of planes?
a. perpendicular planes
b. parallel planes
c. intersecting (nonperpendicular) planes
3. What is an angle?
4. Match the given terms with the following descriptions of angles:

a. Its angle measurement is greater than 90 degrees. 

b. Two angles the sum of whose measurements is 180 degrees. 

c. Its angle measurement is exactly 90 degrees. 

d. A pair of angles formed by two intersecting lines, sharing a vertex only. 
5. Match the given terms with the following descriptions of plane figures.

a. A threesided polygon. 

b. A quadrilateral with four right angles and all sides the same length. 

c. A hexagon with all sides the same length. 

d. A quadrilateral with opposite sides parallel. 
6. Which of the following pair of figures are similar but not congruent
to each other?


A 
B 
Select your answer.
7. Which figure is being described by these component pieces—a rectangle plus two circles?
a. rectangularbased pyramid
b. sphere
c. cone
d. prism
e. cylinder
8. Consider Euler's Formula as it applies to a polyhedron. Write
the expression as it would apply to the following polyhedron.
 triangularbased pyramid
 cube
9. Answer the Who Am I? riddle.
I am a polyhedron with four triangular faces. Who am I?
a. rectangular pyramid
b. rectangular prism
c. triangular prism
d. triangular pyramid
e. cone
10. Which figure below demonstrates rotational symmetry?
Select your answer.
11. If you plot the given ordered pairs on a rectangular coordinate system
and then connect the points, what shape will you have?
Ordered pairs: (2,0), (2, 9), (4, 0), (4, 9)
12. What is the ratio of the circle's circumference to its area?
a. 1:6
b. .2:3
c. 3:2
d. .6:1
Measurement Section Assessment
1. Select the basic units.
Attribute 
Metric System 
Customary System 
Length 
a.

b.

Area 
c.

d.

Volume 
e.

f.

Capacity 
g.

h.

Weight 
i.

j.

2. Make the matches for the attribute of length.

a. 13 m 

b. 12 dm 

c. 12 cm 

d. 12 mm 
3. Make the matches for the attribute of capacity.

a. 20 mL 

b. 4 L 

c. 2 L 

d. 200 mL 
4. Make the matches for the attribute of weight.

a. 100 kg 

b. 100 g 

c. 5 g 

d. 1 kg 
5. What is the area of a 6in x 7in postcard? in^{2}
6. What is the perimeter of a 9cm x 11cm photograph? cm
7. What is the volume of a gift box with the dimensions of 1ft x 7in x
8in? in^{3}
8. What is the surface area of a packing box with the dimensions of 3m
x 2m x 2m?
cm^{2}
Number Sense, Concepts, and Operations Section Assessment
Identify the proportion that correctly solves this problem.
1. The ratio of female teachers to male teachers at Haller Elementary
school is 4 to 1. There are 14 male teachers at the school. How many
female teachers are there at Haller Elementary School?
a. 4/1 = 14/X
b. 4/1 = X +14/X
c. 4/1 = X/14
d. 4/1 = X/18
2. The planet Mars is 228,000,000 kilometers from the sun, while the planet Mercury is 58,000,000 kilometers from the sun. How much farther from the sun is Mars than Mercury. Express your final answer in scientific notation.
a. 1.7 X 10^{7}
b. 1.7 x 10^{8}
c. 2.86 X 10^{7}
d. 2.86 X 10^{8}
3. Which of the following would represent the numbers from smallest to
largest?
A = ¼ 
B = 1/3 
C = .25 
D = .8 
E = .32 
a. D ,C, A, E, B
b. D, C, A, B, E
c. C, D, A, B, E
d. C, D, A, E, B
4. Name the next number in the series.
1, 3, 6, 10, 15, ____
a. 18
b. 19
c. 20
d. 21
5. Solve 3[(6+4) – (3 + 2)] + 14 / 7
a. 35
b. 29
c. 29
d. 35
6. It is estimated that about 1/16 of a town's population got a virus from
a waterborne pathogen. The town's population is 82,000. What is
the best estimate from the following choices of the number of people who got the virus?
a. 500
b. 1,000
c. 5,000
d. 10,000
7. Determine which of the following are different representations for
25%.
A = ¼
B = 25/100
C = .25
D = 0.25
E = 4/16
a. A, B and E only
b. C,D and E only
c. A, B, C, D, E
d. A only
8. Which equation represents the commutative property for addition?
a. 3 + 2 = 5
b. 3 + 2 = 2 + 3
c. 3 + 2 = 3 + 2
d. 3 + 2 = 6 – 1
Instructional Practices Section Assessment
1. The rapid, accurate, and confident judgment that answers the question of “How many?” is called what?
a. counting
b. subitizing
c. tiling
d.transitivity
e. estimating
2. The statement, “Things which are equal to the same thing are also equal to one another” is an example of what?
a. counting
b. subitizing
c. tiling
d. transitivity
e. estimating
3. Imagine that you are teaching area and perimeter. Which one of the following manipulatives would not be as good a choice as the other four when teaching your area and perimeter lesson?
a. snap cubes
b. Geoboard
c. color tiles
d. pattern blocks
e. base ten blocks
4. Which concept would be the best fit for using pattern blocks?
a. nets
b. fractions
c. decimal place value
d. volume
e. probability
5. A portfolio assessment would be a good choice for which of the following learning units?
a. the process of long division
b. a measurement unit consisting of multiple activities
c. the vocabulary needed to understand geometric figures
d. multiplication and division of fractions
e. pattern recognition
6. Which question below demonstrates the highest level of cognitive complexity?
a. Multiply 457 by 838.
b. What is the area of the opening in an 8 x 10inch frame if the frame is 2 inches wide all the way around?
c. Express 0.00000012 meters using scientific notation.
d. A cube measures x cm on a side. If the side length is doubled, what is the ratio of the new surface area to the new volume?
e. Name the plane figures that compose a rectangular pyramid.
7. Components of math fluency include which of the following?
a. accuracy, speed, and attitude
b. accuracy, automaticity, rate, and flexibility
c. speed, attitude, and determination
d. automaticity, rate, determination, and grades
e. accuracy, rate, flexibility, and attitude
8. Which of the following is an example of the array method for teaching multiplication?
OR
Additional Resources for Further Exploration
Click on the link below to access the
Florida Teacher Certification Examination Test Information Guide for Elementary K6
(includes practice test items).
Florida Teacher Certification Examinations
Test Information Guide for Elementary K6
Florida Department of Education
Fourth Edition
http://www.fl.nesinc.com/PDFs/ElemEd_K6_TIG_4thEd_DOE040115.pdf
Additional Testing Information
FTCE/FELE Tests
Find registration information for the Elementary K6 Certification exam here:
http://www.fl.nesinc.com/testPage.asp?test=060
Find additional certification subject listings here:
http://www.fldoe.org/edcert/subjlist.asp
Learn more about the Florida Teacher Certification Examinations (FTCE) and Florida Educational Leadership Examination (FELE) here:
http://www.fldoe.org/asp/ftce/