3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
1. The number line below is divided into equal parts between 0 and 1.
0
11
1
What fraction is shown by the shaded part of this number line?
A.
B.
C.
D.
𝟏
𝟐
𝟏
𝟑
𝟏
𝟒
𝟏
𝟔
2. A carpenter used pieces of wood that were 6-inches wide to cover the
front of a playhouse. The front of the playhouse is 54 inches wide. Which
expression below can be used to find the number of pieces of wood
needed to cover the front of the playhouse?
A. 6 + 54
B. 54 - 6
C. 6 x 54
D. 54 ÷ 6
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
3. When the number 3 is put into the function machine, the number 15
comes out. When the number 6 is put into the function machine, the
number 30 comes out.
3
6
15
30
3
What is the rule for the function machine?
A. Multiply by 3
B. Multiply by 5
C. Multiply by 7
D. Multiply by 12
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
4. Which expression is equivalent to 8 x (7 + 2)?
A. (8 x 7) + (8 + 2)
B. (8 + 6) + (8 x 2)
C. (8 + 7) + (8 + 2)
D. (8 x 7) + (8 x 2)
5. To calculate the area of a rectangle, Deshawn divided the rectangle into
two smaller rectangles. The area of the rectangle is (9 x 10) + (9 x 7)
centimeters.
Which expression below is equivalent to (9 x 10) + (9 x 7)?
A. 9 x (10 + 7)
B. 9 x (10 x 7)
C. 9 + (10 + 7)
D. 9 + (10 x 7)
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
6. The playground has two rectangular sections as shown below.
What is the total area of the playground?
A. 8 square units
B. 16 square units
C. 21 square units
D. 29 square units
7. What two fractions are represented on the figure below?
𝟏 𝟑
A. ,
𝟑 𝟔
𝟑 𝟐
B. ,
𝟑 𝟒
𝟐 𝟏
C. ,
𝟔 𝟐
𝟐 𝟏
D. ,
𝟔 𝟑
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
8. What is the equivalent fraction for the shaded portion of the figure?
A.
B.
C.
D.
𝟏
𝟒
𝟏
𝟑
𝟑
𝟒
𝟐
𝟔
9. A model of
𝟖
𝟒
is shown.
𝟖
Which value is equal to ?
𝟒
A. 1
B. 2
C. 4
D. 8
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
𝟑
𝟑
𝟒
𝟔
10. Mike said that Model 1 and Model 2 show that = .
Model 1
Model 2
𝟑
𝟑
𝟒
𝟔
A. Mike is not correct, because < .
B. Mike is not correct, because each model is a different size.
C. Mike is correct, because each fraction has a 3 in the numerator.
D. Mike is correct, because there are 3 shaded parts in each model.
11. Which statement is true?
A.
B.
C.
D.
𝟗
𝟖
𝟗
𝟒
𝟗
𝟖
𝟗
𝟒
is greater than
is less than
<
<
𝟗
𝟒
𝟗
𝟖
𝟗
𝟒
𝟗
𝟖
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Page 6
3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
12. Each model below is the same size and shape. Each model is shaded to
represent a different fraction.
Which comparison of the shaded fractions is true?
A.
B.
C.
D.
𝟑
𝟖
𝟑
𝟒
𝟑
𝟖
𝟑
𝟒
>
<
<
=
𝟑
𝟔
𝟑
𝟔
𝟑
𝟔
𝟑
𝟔
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3nd Grade Cycle 3 Math Proficiency
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NO CALCULATOR: 13, 14, 15
13. A box contains 40 nails. How many total nails are there in 6 boxes?
A. 24
B. 46
C. 100
D. 240
14. One class has 21 students and another class has 24 students. Both classes
will travel to the zoo in cars. Each car will take 5 students. How many cars
are needed to take all the students to the zoo?
A. 50
B. 45
C. 9
D. 8
15. At an animal shelter, 32 animals were divided into 4 groups. Eve figured
that 8 animals were in each group. Which number sentence can be used
to check Eve’s calculation?
A. 8 + 4 = 12
B. 8 x 4 = 32
C. 32 – 4 = 24
D. 32 + 8 = 40
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
NO CALCULATOR
Short Answer: (3.NBT.3)
There are 7 tables in Mrs. Smith’s classroom. There are 4 students sitting at each
table. Each student has a box of 10 colored pencils.
A. How many colored pencils are at each table?
B. How many colored pencils do Mrs. Smith’s students have in total?
Do not write outside this box.
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3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
Short Answer: (3.NF.3d)
Brianna drew this picture.
𝟏
𝟏
𝟒
𝟐
Then she said, “This shows that is greater than .
A. What was her mistake?
𝟏
𝟏
𝟐
𝟒
B. Draw a picture that shows why is greater than .
Do not write outside this box.
Permissions to use content for this assessment was granted by Houghton-Mifflin Harcourt for the 2016-17 school year to Jefferson County Public Schools, Louisville,
KY. Documentation of usage agreements are on file with the Curriculum and Instruction Unit and are non-transferable.
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Page 10
3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
Question
Answer
Key Focus Topic
Standard
1
D
6
3.NF.2b
2
D
8
3.OA.3
3
B
9
3.OA.9
4
D
10
3.OA.5
5
A
10
3.MD.7c
6
D
10
3.MD.7d
7
D
11
3.NF.3a
8
C
11
3.NF.3b
9
B
11
3.NF.3c
10
B
12
3.NF.3d
11
C
12
3.NF.3d
12
C
12
3.NF.3d
D
9
3.NBT.3
C
9
3.OA.8
B
10
3.OA.7
9
3.NBT.3
12
3.NF.3d
13
NO CALCULATOR
14
NO CALCULATOR
15
NO CALCULATOR
SA #1
NO CALCULATOR
SA #2
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Page 11
3nd Grade Cycle 3 Math Proficiency
Name____________________________________ Date________________________________
Short Answers:
(3.NBT.3)
2 points total
 1 point for the correct answer: 40 colored pencils
 1 point for a correct answer: 280 colored pencils
(3.NF.3d)
2 points total
 1 point for the correct answer: She cannot compare the fractions since the
wholes are not the same size.
 1 point for a correct drawing. Possible drawing:
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Page 12