DESK
Assessment
Course:
5th Grade Mathematics
Davis Essential:
Number and Operations in Base Ten
Skills and Knowledge:
Understand place value system, perform operations with
whole numbers and decimals
Title
NUMBERS AND OPERATIONS IN BASE TEN PRE -ASSESSMENT
Author / Source
4-6 Math Coaches
Submitted by
Math Team
Type of Assessment
Multiple Choice: Students could be asked to show work as to why they came up with
their selected answer. A calculator may be used with this assessment.
Description
This assessment was designed to measure student pre-knowledge of the essential skills
and knowledge identified above. Our recommendation is that this assessment not be used
as a tool for reporting student mastery for parents, but could be used in conjunction with
the post assessment as a source of data that can be discussed in grade-level data teams or
with math coaches.
Scoring Guide,
Rubric, or Key
The answer key rationale is attached.
Link to Assessment
N/A
© 9/27/2012 Davis School District, Farmington, UT 84025
All Rights Reserved
Name:__________________________________ Date: ________________________________
5th Grade: Numbers and Operations in Base Ten: Standards 5, 6, 7 Pre-Test
I can multiply multi-digit whole numbers.
I can use strategies for dividing up to four-digit dividends and two-digit divisors.
I can add, subtract, multiply, and divide decimals.
1) The Sweets Bakery makes 180 dozen doughnuts per day. How many individual
doughnuts are baked each day?
A) 15
B) 540
C) 2,160
D) 3,060
2) Mark delivers newspapers for a paper route 365 days a year. He has 46 customers on
his route. What is the total number of newspapers he delivers in one year?
A) 411
B) 3,650
C) 14,260
D) 16,790
3) A stadium is set up for a concert. There are 456 rows of seats with 24 seats in each row.
How many total seats are there?
A) 19
B) 2,736
C) 8,024
D) 10,944
4) An online company assembles 240 iPods every day. How many iPods are assembled in
one year?
1 year = 365 days
A) 22,800
B) 75,400
C) 87,600
D) 93,200
5) What division sentence best describes this array?
A)
B)
C)
D)
40 ÷ 2 = 20
40 ÷ 4 = 10
40 ÷ 5 = 8
40 ÷ 10 = 4
6) Which 2 related problems best describes this array?
A)
B)
C)
D)
6 X 8 = 48 and 48 ÷ 8 = 6
4 X 12 = 48 and 48 ÷ 4 = 12
3 X 16 = 48 and 48 ÷ 16 =34
2 X 24 = 48 and 48 ÷ 24 = 2
7) Which model best describes the number sentence, 48 ÷ 4 = 12?
A)
B)
C)
D)
8)
A)
B)
C)
D)
What is the inverse operation of 245÷5?
5 ÷ 245 = 49
49 • 5 = 245
245 + 5 = 250
245 – 5 = 240
9) Steve is solving the problem, 125 ÷ 5 using an area model and the distributive property.
What number goes in the shaded box?
A) 10
B) 15
C) 20
D) 25
5 100
+5
25
10) Kim is solving the problem, 420 ÷ 30, using an area model and the distributive property.
What number goes in the shaded box?
A) 34
B) 76
C) 100
D) 120
10
30 300
+ 4
11) The city recreation league has 204 children that want to play summer baseball. If the
league forms teams that have 12 players per team, how many teams can be formed?
A) 17
B) 19
C) 110
D) 2,448
12) A sweet shop has 3654 suckers and wants to package them in packages with 6 suckers in
each. How many packages of suckers will the sweet shop have?
A) 60
B) 69
C) 600
D) 609
13) A party supply store has 1,224 yo-yo’s. They want to package them in groups of 36.
How many packages of yo-yo’s will they have?
A) 36
B) 34
C) 32
D) 30
14) This picture represents 1 whole.
What number is represented below?
+
A) 3.05
B) 3.95
C) 4.05
D) 4.915
15) Each person on a two-man relay team ran 100 meters. Their times are listed in the
chart below. What is the combined time of the team?
Jake
Sam
A)
B)
C)
D)
14.86 seconds
12.2 seconds
27.08 seconds
27.06 seconds
26.08 seconds
26.06 seconds
16) This picture represents 1 whole.
What number is represented below?
A) .89
B) 1.11
C) 1.99
D) 5.79
17) Max and Joe each ran a relay course and timed themselves with a stopwatch. Max says
he ran the course in 84.36 seconds. Joe reported his time as 97.4 seconds. How many
seconds faster did Max run than Joe?
A) 13.04 seconds
B) 13.14 seconds
C) 13.16 seconds
D) 13.32 seconds
18) A factory worker fills each box of raisins with 1.33 oz. of raisins. If you buy 34 boxes,
how many oz. of raisins will you buy?
A) 34.33 oz.
B) 35.33 oz.
C) 43.12 oz.
D) 45.22 oz.
19) The problem .3 x .80 is represented in which grid below?
A)
B)
C)
D)
20) This picture represents 1 tenth.
Which problem is represented by the division model?
A) .012 ÷ .4
B) .12 ÷ .4
C) 1.2 ÷ .4
D) 12.0 ÷ .4
21) Use the model to solve this problem: 5 ÷ .4 = ?
A) 12.2
B) 12.5
C) 12.75
D) 12.8
22) Andy has 5.6 pounds of taffy, he wants to divide the taffy in 8 bags. How much taffy will
be in each bag?
A) .07 pounds
B) .7 pounds
C) 7 pounds
D) 70 pounds
23) If a car went 422.1 miles in 6.3 hours, how many miles did it go in one hour?
A) 6.6
B) 6.7
C) 66
D) 67
24) Use the models to help you solve the following problem.
If 3.5 pounds of apples cost $4.55, what is the price of 1 pound of apples?
A) $1.03
B) $1.12
C) $1.30
D) $13.00
1
5.NBT.5
A
180÷12=15
2
5.NBT.5
365 + 46=411
3
5.NBT.5
456 ÷24=19
4
5.NBT.5
5
5.NBT.6
6
5.NBT.6
7
5.NBT.6
Doesn’t take place
value into account.
Misunderstanding
of arrays
Misunderstanding
of arrays
Correct answer
8
9
5.NBT.6
5.NBT.6
10 5.NBT.6
Division
Misunderstanding
of area model
Adds 30+4
11 5.NBT.6
Correct answer
12 5.NBT.6
Balanced Distractor
13 5.NBT.7
14 5.NBT.7
15 5.NBT.7
Calculation error
Calculation error
Balanced Distractor
B
Multiplies by 1
instead of 10,
(Doesn’t put a zero
in as a place
holder.)
Multiplies by 4
instead of 40,
(Doesn’t put a zero
in as a place
holder.)
Multiplies by 2
instead of 20,
(Doesn’t put a zero
in as a place
holder.)
Doesn’t regroup
C
Correct answer
D
Adds in the
regrouped hundred
at the wrong time.
Doesn’t regroup
correctly.
Correct answer
Calculation error
Correct answer
Correct answer
Balanced Distractor
Misunderstanding
of arrays
Correct answer
Correct answer
Misunderstanding
of arrays
Misunderstanding
of arrays
Misunderstanding
of arrays
Misunderstanding
of multiplication
groups
Correct answer
Misunderstanding
of area model
Misunderstanding
of area model
Calculation error
Divides 36/6 and
54/6
Correct answer
Doesn’t regroup
Correct answer
Misunderstanding
of arrays
Misunderstanding
of arrays
Addition
Correct answer
Misunderstanding
of area model
When subtracting
20-12, doesn’t
regroup and gets
an answer of 12,
and places another
1 in the answer.
Place Value Error
Calculation error
Correct answer
Added without
lining up decimal
points; calculation
error
Subtraction
Misunderstanding
of area model
Correct answer
204•12=2448
Correct answer
Calculation error
Doesn’t regroup
Added without
regrouping in ones
place
16 5.NBT.7
Correct answer
Doesn’t regroup
17 5.NBT.7
Correct answer
Calculation error
18 5.NBT.7
19 5.NBT.7
1.33+34=35.33
Correct answer
23 5.NBT.7
Multiplication error
Misunderstanding
of decimal model
Misunderstanding
of decimal model
Calculates the
remaining 2 boxes
as .2 instead of .5
Misplacement of
decimal
Calculation error
24 5.NBT.7
Calculation error
20 5.NBT.7
21 5.NBT.7
22 5.NBT.7
Misunderstanding
of decimal model
Correct answer
Correct answer
Misplacement of
decimal
Calculation error
Mixes addition and
subtraction in the
same problem
Incorrectly
subtracts
hundredths place
Regrouping error
Misunderstanding
of decimal model
Correct answer
Adds
Subtracts 97-84
and 36-4
Calculation error
Correct answer
Misunderstanding
of decimal model
Misunderstanding
of decimal model
Calculation error
Misplacement of
decimal
Calculation error
Misplacement of
decimal
Correct answer
Correct answer
Misplacement of
decimal