Name: ________________________
Class: ___________________
Date: __________
ID: A
8th Grade Advanced Topic I, Numbers and Operations MA.8.A.6.1, MA.912.A.1.1, MA.8.A.6.2,
MA.8.6.3, MA.912.A.1.2, MA.8.A.6.4
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1
What is the number 0.00352 written in scientific notation?
A.
B.
C.
D.
____
2
The table below shows the approximate distances of three galaxies from Earth.
Which list shows these distances in order from LEAST to GREATEST?
F.
G.
H.
I.
1
Name: ________________________
____
3
ID: A
According to the chart below, the people in New York City consume 1.4 million pounds of baked
beans during the July 4th holiday weekend.
Which number represents 1.4 million?
A.
B.
C.
D.
____
4
The average ant has a mass of about
notation?
F.
G.
H.
I.
____
5
1.4 x 105
14 x 106
14 x 105
1.4 x 106
kilogram. What is
0.000001
0.00001
10,000
100,000
The length of Florida’s coastline is approximately
this length?
A. 1,000.35 miles
B. 1,035.00 miles
C . 1,350.00 miles
D. 13,500.00 miles
____
6
written in standard
Which expression has the LEAST value?
F.
G.
H.
I.
2
miles. Which value is equivalent to
Name: ________________________
____
7
A square sign has an area of 123 square feet. About how many feet long is each side?
A.
B.
C.
D.
____
8
ID: A
11
12
30
62
Between which two whole numbers is
F.
8 and 9
G. 9 and 10
H. 10 and 11
I. 11 and 12
____
9
Which number is equivalent to
A.
B.
C.
D.
____
10 Which is CLOSEST to the value of
F.
24
G. 80
H. 158
I. 315
____
11 Which point on the number line is CLOSEST to
A.
B.
C.
D.
P
Q
R
S
3
Name: ________________________
____
ID: A
12 Simplify the following expression.
F.
G.
H. 2 5 
934

3
26 
924

2
I.
____
13 Which expression is equivalent to 811 x 83 ?
A. 6433
B. 6414
C . 8 33
D. 8 14
____
14 Which expression is equivalent to
F.
?
124
G. 1212
H. 1 4
I.
____
1 12
15 Which expression is equivalent to 89 x 8-6 ?
A. 8 -54
B. 8 -3
C . 83
D. 8 54
4
Name: ________________________
____
ID: A
16 The dimensions of the base of an office building are
feet by
feet. What is the
perimeter of the base of this building in feet?
F.
G.
H.
I.
____
17 What is the value of the expression below?
A.
B.
C.
D.
____
18 Which equation is TRUE?
F.
G.
H.
I.
____
19 The distance from Tallahassee, Florida, to London, England, is
miles. The distance
from London, England, to Tokyo, Japan, is
miles. If you were to fly from Tallahassee
to London and then to Tokyo, how many miles would you have traveled?
A.
B.
C.
D.
5
Name: ________________________
____
ID: A
20 What is the value of the expression below?
F.
4
G. 8
H. 16
I. 32
____
21 Which value of the expression
will make the equation below TRUE?
ÊÁ
ˆ˜
a × ÁÁÁÁ a − 5 ˜˜˜˜ = a
ÁË
4 ˜¯
A.
B.
C.
D.
____
0
1
22 The speed of light is approximately
centimeters per second. Which measurement,
in centimeters per second, is equivalent to this approximation?
F.
G.
H.
I.
6
Name: ________________________
____
ID: A
23 The figure below represents a metal frame that supports a highway sign.
The length of one diagonal of the frame,
to
is
A.
B.
C.
D.
____
24 Which expression is equivalent to
F.
G.
H.
I.
____
25 Which fraction is equivalent to
A.
B.
C.
D.
7
feet. Which expression is equivalent
Name: ________________________
____
26 A club had
ID: A
of its members in attendance at a meeting. What fraction of the members
attended?
F.
G.
H.
I.
____
27 A hotel had three rectangular swimming pools. Jared calculated the diagonal length of each pool and
listed the lengths below.
40 feet,
feet, and
feet
Which inequality correctly compares these lengths?
A.
B.
C.
D.
____
28 A physicist measured the wavelengths of four different electromagnetic waves and recorded the
measurements in the table below.
Which has the greatest wavelength?
F.
G.
H.
I.
X-Ray
Gamma Ray
Infrared Light
Ultraviolet Light
8
Name: ________________________
____
ID: A
29 Five students were asked to measure or compute the length of the hypotenuse of a given
right triangle and to record the result in any format they wished. The recorded lengths, in
centimeters, are listed below.
Which list of these measurements is ordered from LEAST to GREATEST?
A. 2.58 cm,
cm, 4.26 cm,
B. 2.58 cm,
cm,
C.
cm,
D. 2.58 cm,
____
cm, 4.26 cm,
cm, 4.26 cm,
cm,
cm,
cm
cm
cm, 2.58 cm
cm, 4.26 cm,
cm
30 Which value is equivalent to one-half of 0.075?
F.
G.
H.
I.
____
31 Which expression results in the LEAST value?
A.
B.
C.
D.
____
32 For which value of x is
F.
G.
H. 0
I.
9
GR 8 Advanced - Topic I Assessment
TEACHER ANSWER KEY
ID: A
8th Grade Advanced Topic I, Numbers and Operations MA.8.A.6.1, MA.912.A.1.1, MA.8.A.6.2,
MA.8.6.3, MA.912.A.1.2, MA.8.A.6.4
Answer Section
MULTIPLE CHOICE
1
ANS: B
Feedback
A
B
C
D
2
Misplaced decimal for scientific notation
Correct
Labeled exponent as positive instead of negative
Misplaced decimal and used positive exponent
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice
versa and to solve problems.
STA: MA.8.A.6.1
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Moderate | Grade 08
MSC: ItemCode: MF200429
ANS: H
Feedback
F
G
H
I
Same order as table
Reversed table order
Correct
Greatest to least
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice
versa and to solve problems.
STA: MA.8.A.6.1
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF201101
1
ID: A
3
ANS: D
Feedback
A
B
C
D
4
140,000 is not equivalent to 1.4 million
14,000,000 is not equivalent to 1.4 million
14,000 is not equivalent to 1.4 million
Correct
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice
versa and to solve problems.
STA: MA.8.A.6.1
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF202117
ANS: G
Feedback
F
G
H
I
5
Counts 6 digits to the left of the decimal
Correct
Counts 4 digits to the right of the decimal
Counts 5 digits to the right of the decimal
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice
versa and to solve problems.
STA: MA.8.A.6.1
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF200477
ANS: C
Feedback
A
B
C
D
1 ? 1000 + 0.35
Zero added and 2 digits moved 2 places
Correct
1.35 ? 10,000
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice
versa and to solve problems.
STA: MA.8.A.6.1
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF214328
2
ID: A
6
ANS: G
Feedback
F
G
H
I
7
Chose the constant with the least value
Correct
Chose the exponent with the least absolute value
Chose the constant with the greatest value
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.1 Use exponents and scientific notation to write large and small numbers and vice
versa and to solve problems.
STA: MA.8.A.6.1
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MFIBM20627
ANS: A
Feedback
A
B
C
D
8
Correct
Used the first 2 digits of 123
Found perimeter:
Divided by 2 instead of extracting the square root
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions
that include square roots, and use them to estimate solutions to problems and to compare mathematical
expressions involving real numbers and radical expressions.
STA: MA.8.A.6.2
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Moderate | Grade 08
MSC: ItemCode: MF222462
ANS: G
Feedback
F
G
H
I
Used the digits of 98
Correct
Rounded 98 to 100
Does not understand square roots
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions
that include square roots, and use them to estimate solutions to problems and to compare mathematical
expressions involving real numbers and radical expressions.
STA: MA.8.A.6.2
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF222463
3
ID: A
9
ANS: B
Feedback
A
B
C
D
Found the correct square root, but did not adjust exponent when applying
scientific notation
Correct
Found the correct square root, but did not adjust coefficient when applying
scientific notation
Positive square root of 144 and exponent 6 for 6 zeros
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions
that include square roots, and use them to estimate solutions to problems and to compare mathematical
expressions involving real numbers and radical expressions.
STA: MA.8.A.6.2
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Moderate | Grade 08
MSC: ItemCode: MF222465
10 ANS: G
Feedback
F
G
Correct
H
I
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions
that include square roots, and use them to estimate solutions to problems and to compare mathematical
expressions involving real numbers and radical expressions.
STA: MA.8.A.6.2
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF222947
11 ANS: B
Feedback
A
B
C
D
Lacks concept of square root
Correct
Lacks concept of square root
Assumes highest values because
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.2 Make reasonable approximations of square roots and mathematical expressions
that include square roots, and use them to estimate solutions to problems and to compare mathematical
expressions involving real numbers and radical expressions.
STA: MA.8.A.6.2
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MFIBM15567
4
ID: A
12 ANS:
OBJ:
STA:
KEY:
13 ANS:
OBJ:
STA:
KEY:
14 ANS:
OBJ:
STA:
KEY:
15 ANS:
OBJ:
STA:
KEY:
16 ANS:
F
PTS: 1
DIF: M
REF: Topic 1
Simplify real number expressions using the laws of exponents
MA.8.A.6.3 TOP: MA.8.A.6 Number and Operations
Webb: Low | Grade 08
MSC: Extra Problem Bank Foss Revised
D
PTS: 1
DIF: L
REF: Topic 1
Simplify real number expressions using the laws of exponents
MA.8.A.6.3 TOP: MA.8.A.6 Number and Operations
Webb: Low | Grade 08
MSC: Extra Problem Bank Foss revised
G
PTS: 1
DIF: L
REF: Topic 1
Simplify real number expressions using the laws of exponents
MA.8.A.6.3 TOP: MA.8.A.6 Number and Operations
Webb: Low | Grade 08
MSC: Extra Problem Bank Foss revised
C
PTS: 1
DIF: L
REF: Topic 1
Simplify real number expressions using the laws of exponents
MA.8.A.6.3 TOP: MA.8.A.6 Number and Operations
Webb: Low | Grade 08
MSC: Extra Problem Bank Foss revised
H
Feedback
F
G
H
Correct
I
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,
percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step
and real world problems.
STA: MA.8.A.6.4
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF201047
17 ANS: B
Feedback
A
B
C
D
Did not take absolute value
Correct
Multiplied 4 times 2 and 2 times 3 instead of taking powers
Multiplied 4 times 2 instead of taking power
PTS: 1
DIF: H
REF: Math
OBJ: MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,
percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step
and real world problems.
STA: MA.8.A.6.4
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Moderate | Grade 08
MSC: ItemCode: MF203093
5
ID: A
18 ANS: G
Feedback
F
G
H
I
Commutative property misapplied to subtraction
Correct
Distributive property applied incorrectly
Attempt to distribute with addition
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,
percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step
and real world problems.
STA: MA.8.A.6.4
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF206087
19 ANS: C
Feedback
A
B
C
D
Subtracted 5.956 – 4.368
Multiplied
Correct
Added 4.368 and 5.956 but also added exponents
PTS: 1
DIF: M
REF: Math
OBJ: MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,
percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step
and real world problems.
STA: MA.8.A.6.4
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Moderate | Grade 08
MSC: ItemCode: MF212200
20 ANS: F
Feedback
F
Correct
G
H
I
PTS: 1
DIF: L
REF: Math
OBJ: MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,
percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step
and real world problems.
STA: MA.8.A.6.4
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Low | Grade 08
MSC: ItemCode: MF215480
6
ID: A
21 ANS: D
Feedback
A
Finds the value of a that makes the equation true
B
Assumes that the reciprocal of
C
D
will result in 0; confuses the identity property
of addition with the identity property of multiplication
Confuses the identity property of addition with the identity property of
multiplication
Correct
PTS: 1
DIF: H
REF: Math
OBJ: MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals,
percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step
and real world problems.
STA: MA.8.A.6.4
TOP: MA.8.A.6 Number and Operations
KEY: Webb: Moderate | Grade 08
MSC: ItemCode: MF221196
22 ANS: I
Feedback
F
G
H
I
Multiplied exponent by 3
Multiplied base by 3
(30 ) (10)
Correct
PTS: 1
DIF: M
REF: Math
OBJ: MA.912.A.1.1 Know equivalent forms of real numbers (including integer exponents and radicals,
percents, scientific notation, absolute value, rational numbers, irrational numbers).
STA: MA.912.A.1.1
TOP: MA.912.A Algebra
KEY: Webb: Moderate | Grades 09-12
MSC: ItemCode: MF213115
23 ANS: B
Feedback
A
B
C
D
Simplifies radical incorrectly
Correct
Simplifies radical incorrectly
Simplifies radical incorrectly
PTS: 1
DIF: M
REF: Math
OBJ: MA.912.A.1.1 Know equivalent forms of real numbers (including integer exponents and radicals,
percents, scientific notation, absolute value, rational numbers, irrational numbers).
STA: MA.912.A.1.1
TOP: MA.912.A Algebra
KEY: Webb: Low | Grades 09-12
MSC: ItemCode: MF215645
7
ID: A
24 ANS: F
Feedback
F
G
H
I
Correct
Chose this because
Misinterpreted a negative exponent to mean a negative sign in front
Thought that
since
and kept negative sign
PTS: 1
DIF: M
REF: Math
OBJ: MA.912.A.1.1 Know equivalent forms of real numbers (including integer exponents and radicals,
percents, scientific notation, absolute value, rational numbers, irrational numbers).
STA: MA.912.A.1.1
TOP: MA.912.A Algebra
KEY: Webb: Low | Grades 09-12
MSC: ItemCode: MF221752
25 ANS: D
Feedback
A
Divides 72 by 9 and 512 by 8 to get
B
C
D
Divides 72 by 512
Correct
PTS: 1
DIF: M
REF: Math
OBJ: MA.912.A.1.1 Know equivalent forms of real numbers (including integer exponents and radicals,
percents, scientific notation, absolute value, rational numbers, irrational numbers).
STA: MA.912.A.1.1
TOP: MA.912.A Algebra
KEY: Webb: Moderate | Grades 09-12
MSC: ItemCode: MF220871
26 ANS: H
Feedback
F
Estimates 0.91666 to equal
G
Estimates 0.91666 to equal
H
Correct
I
Estimates 0.91666 to equal
PTS: 1
DIF: M
REF: Math
OBJ: MA.912.A.1.1 Know equivalent forms of real numbers (including integer exponents and radicals,
percents, scientific notation, absolute value, rational numbers, irrational numbers).
STA: MA.912.A.1.1
TOP: MA.912.A Algebra
KEY: Webb: Moderate | Grades 09-12
MSC: ItemCode: MF220872
8
ID: A
27 ANS: C
Feedback
A
B
C
D
In order as shown in stem
Inequality signs and 2nd and 3rd values out of order
Correct
2nd and 3rd values out of order
PTS:
OBJ:
TOP:
MSC:
28 ANS:
1
DIF: M
REF: Math
MA.912.A.1.2 Compare real number expressions.
STA: MA.912.A.1.2
MA.912.A Algebra
KEY: Webb: Low | Grades 09-12
ItemCode: MF218580
H
Feedback
F
G
H
I
Chose number with the greatest coefficient
Chose number with the exponent with greatest absolute value
Correct
Chose number with the least coefficient
PTS:
OBJ:
TOP:
MSC:
29 ANS:
1
DIF: M
REF: Math
MA.912.A.1.2 Compare real number expressions.
STA: MA.912.A.1.2
MA.912.A Algebra
KEY: Webb: Low | Grades 09-12
ItemCode: MF212876
A
Feedback
A
B
C
D
Correct
Third number not in correct order
Greatest to least order
Third number not in correct order
PTS:
OBJ:
TOP:
MSC:
1
DIF: L
REF: Math
MA.912.A.1.2 Compare real number expressions.
STA: MA.912.A.1.2
MA.912.A Algebra
KEY: Webb: Low | Grades 09-12
ItemCode: MF219287
9
ID: A
30 ANS: H
Feedback
F
G
H
I
Incorrect exponent
Incorrect exponent
Correct
Incorrect exponent
PTS:
OBJ:
TOP:
MSC:
31 ANS:
1
DIF: M
REF: Math
MA.912.A.1.2 Compare real number expressions.
STA: MA.912.A.1.2
MA.912.A Algebra
KEY: Webb: Moderate | Grades 09-12
ItemCode: MF219385
D
Feedback
A
Chooses smallest absolute value
B
Absolute value of
C
Misapplies the sign rules
Correct
D
PTS:
OBJ:
TOP:
MSC:
32 ANS:
smaller than absolute value of
(option D)
1
DIF: M
REF: Math
MA.912.A.1.2 Compare real number expressions.
STA: MA.912.A.1.2
MA.912.A Algebra
KEY: Webb: Low | Grades 09-12
ItemCode: MF220633
I
Feedback
F
G
H
I
Incorrect use of sign rules
Uses absolute values
Does not understand 0 squared
Correct
PTS:
OBJ:
TOP:
MSC:
1
DIF: M
REF: Math
MA.912.A.1.2 Compare real number expressions.
STA: MA.912.A.1.2
MA.912.A Algebra
KEY: Webb: Moderate | Grades 09-12
ItemCode: MF220634
10