Download NJ DOE Unit 2_Grade 3

Name _________________ Period_____ Date _________
Grade 3 Summer Packet – Going into 4th Grade
3.
Jenelle doesn’t know all the multiplication facts. Which could Jenelle use to help
find 8  7 ?
a.
6  4 plus 2  3
b. 5  2 plus 3  6
c.
8  2 plus 8  4
d. 8  2 plus 8  5
4.
Which equals 2  6 ?
a. The sum of
2  1 and 2  6
b. The sum of 2  2 and 2  4
22
d. The sum of 2  5 and 2  0
c. The sum of 2  3 and
5.
Which would be the best first step to help find 2  3  8  6  7 quickly?
a. 2  3  5 and 3  8  11
c. 3  8  11 and 6  7  13
6.
b. 2  8  10 and 3  7  10
d. 2  6  8 and 3  6  9
Two students explained how they found the product 2  3  5 using different
methods.
Jamar’s Method
2 times 3 is 6, and 6 times 5 is 30.
Anita’s Method
The product of 3 and 5 is 15, and the
product of 2 and 15 is 30.
Part A: Explain why both methods are correct.
_______________________________
__________________________________________________________________
__________________________________________________________________
Part B: Show another way to find the product using a different way of thinking
from Jamar’s or Anita’s method.
5.
Write a multiplication equation that could be used to find 35  7 
6.
Ken knows that 4  6  24. Write the numbers 4, 6, and 24 in the boxes
below to give a related division equation.

7.
.
=
The answer to 32  4 can be found by thinking of which of the following
equations?
a. 32  4  36
b. 32  4  28
c.
4  8  32
d. 2  16  32
8.
Which of the following equations is another way to find the value of
56  8 
a.
?
8  56 
b. 8 
 56
8
 56
c.
d.
 8  56
in
9. Find the product of the numbers given.
10.
a. 8  5 
b. 3  9 
c. 7  4 
d. 2  7 
Find the quotient of the numbers given.
a. 35  5 
b. 24  3 
c. 16  8 
d. 28  7 
Use a drawing or an array to solve the word problems in questions 11–12.
11. Shirley needs 3 pieces of rope for a project. Each piece of rope must be 12 feet
long. How much rope does Shirley need for the project altogether?
Use a drawing or an array to show your work.
12. Sam ran 21 miles total on Friday, Saturday, and Sunday. He ran the same number of
miles on each day. How far did Sam run on Friday?
Use a drawing or an array to show your work.
Write an equation to solve the word problems in questions 14–17.
14. Sue put 24 toy cars into 4 equal rows. How many toy cars are in each row?
Write an equation to solve the problem.
15. Tina uses 7 beads to make a bracelet. She made 4 bracelets. How many total beads
did she use?
Write an equation to solve the problem.
17. An electronic game has 35 spaceships arranged in equal rows of 5 spaceships. How
many rows will there be?
Write an equation to solve the problem.
Use the multiplication table below for questions 18–20.
18.

1
2
3
4
5
6
1
1
2
3
4
5
6
2
2
4
6
8
10
12
3
3
6
9
12
15
18
4
4
8
12
16
20
24
5
5
10
15
20
25
30
6
6
12
18
24
30
36
Explain what happens when any number is multiplied by 1.
_______________________________
__________________________________________________________________
19.
Explain what happens when any number is multiplied by 2.
_______________________________
__________________________________________________________________
20.
Look at the multiplication facts for the number 4. Explain how those
multiplication facts compare to the multiplication facts for the number 2.
_______________________________
__________________________________________________________________
Use the addition table below for questions 21–23.
+
1
2
3
4
5
6
7
8
9
10
21.
1
2
3
4
5
6
7
8
9
10
11
2
3
4
5
6
7
8
9
10
11
12
3
4
5
6
7
8
9
10
11
12
13
4
5
6
7
8
9
10
11
12
13
14
5
6
7
8
9
10
11
12
13
14
15
6
7
8
9
10
11
12
13
14
15
16
7
8
9
10
11
12
13
14
15
16
17
8
9
10
11
12
13
14
15
16
17
18
9
10
11
12
13
14
15
16
17
18
19
10
11
12
13
14
15
16
17
18
19
20
Explain the pattern that happens every time two even numbers are added.
_______________________________
__________________________________________________________________
22.
Explain the pattern that happens every time two odd numbers are added.
_______________________________
23.
__________________________________________________________________
Explain the pattern that happens every time an odd number and an even
number are added.
_______________________________
__________________________________________________________________
24.
+
1
2
3
4
5
6
7
8
9
10
Explain why the numbers on each diagonal in the table are the same, such as the
shaded numbers shown in the table below.
1
2
3
4
5
6
7
8
9
10
11
2
3
4
5
6
7
8
9
10
11
12
3
4
5
6
7
8
9
10
11
12
13
4
5
6
7
8
9
10
11
12
13
14
5
6
7
8
9
10
11
12
13
14
15
6
7
8
9
10
11
12
13
14
15
16
7
8
9
10
11
12
13
14
15
16
17
8
9
10
11
12
13
14
15
16
17
18
9
10
11
12
13
14
15
16
17
18
19
10
11
12
13
14
15
16
17
18
19
20
_______________________________
__________________________________________________________________
__________________________________________________________________
25.
What is the area, in square units, of the rectangular array shown below?
= 1 square unit
Area = _________________
Write the lengths of the sides of the array.
Width = ________________
Length = _______________
Explain how the width and length relate to the area.
26.
A rectangular array has a length of 4 units and a width of 2 units. Draw the array
and find its area. Explain your answer.
27.
The area of a rectangular array is 20 square units.
What are possible values of the length and width of the array?
Width = ____________________
Length = ____________________
In questions 1-6, multiply each.
1.
77 
4. 7  6 
2.
59 
5. 12  3 
3.
48 
6. 18  2 
In questions 7-11, divide each.
7.
48  8 
10. 35  7 
12.
8.
11.
50  2 
9.
44  4 
36  4 
Part A: What is 34  2 ?
Part B: What multiplication fact can you use to check your answer?
________________
Use the clock below to answer questions 13 and 14.
13.
Aja got on the school bus at 7:15 A.M. It took
37 minutes to get to school. What time did she
arrive at school?
_____________________
14.
Pablo took a trip from New York to Florida. His plane left New York at 10:30 A.M.
and arrived in Florida at 1:00 P.M.
How long, in minutes, was Pablo’s flight? Use the number line below to help
answer the question.
__________________
15.
The table below shows Jennifer’s schedule each school day. School begins at
8:30 A.M. with reading class. Use the clock below to help find the time that
Jennifer’s lunch begins.
ACTIVITY
Reading
Art
Math
Lunch
Gym
Science & Social
Studies
16.
JENNIFER’S SCHOOL SCHEDULE
AMOUNT OF TIME
1 hour
45 minutes
1 hour and 15 minutes
30 minutes
45 minutes
2 hours and 20 minutes
Marcus compares the amount of water in the two containers with the amount of
milk. He says the amount of water is greater than the amount of milk.
Is Marcus correct? Circle yes or no.
Yes
No
Show your work and explain your answer.
__________________________________________________________________
________________________________________________________________________
________________________________________________________________________
_______________________________________________________________________
17.
Ali put books on one scale and a pumpkin on another scale.
Which of the following statements are true? For each statement, put a check in
the oval to choose true or false.
True
False
The mass of the pumpkin is 4 kilograms
more than the mass of the books.
The mass of the pumpkin is
33 kilograms more than the mass
of the books.
The mass of the pumpkin is 4 times
the mass of the books.
The mass of the pumpkin is 33 times the
mass of the books.
18. Which is the best estimate for the total amount of water in the two containers?
a.
9 liters
b.
10 liters
c.
11 liters
d.
12 liters
19.
A whole is divided into 5 equal parts. Write the fraction that represents 3 parts
of the whole.
________________
20.
4
of a cup of flour to make muffins. She will measure the flour using
5
1
1
a -cup scoop. How many times will Cara need to fill the -cup scoop in order
5
5
4
to measure
of a cup of flour?
5
Cara needs
________________
21.
Jenny cut her jump rope into 3 pieces that are the same length. The length of
one piece of rope is what fraction of the length of the jump rope?
________________
22.
Which of the following could be used to show
a.
C.
b.
d.
1
?
6
23.
Show how to cut the apple pie into 4 equal slices.
What fraction represents one slice? __________
24.
The chocolate bar is made of smaller rectangular pieces that are equal in size.
Write a fraction to represent one of the smaller pieces of the chocolate bar.
_____________
25.
Mark the number line to show
1
. Label 0 and 1 on the number line.
4
26.
Label the marks on the number line. Place a point at the location of a fraction.
Label 0 and 1 on the number line.
Explain why the point located has the number labeled.
____________________________________________
____________________________________________
____________________________________________
27.
The point on the number line below represents the fraction
1
. Label 0 and 1 on the number line.
6
Explain why the number at the point must be named
5
.
6
____________________________________________
____________________________________________
____________________________________________
5
. Locate and label
6
28.
Brian’s music player can hold 5 songs. Brian has put 1 song on the player. Mark
on the number line to show what fraction 1 song is of the 5 songs. Label 0 and 1
on the number line.
29.
The point on the number line represents what fraction?
_____________
30.
Label the number line to show the point where
2
is located. Label 0 and 1 on
3
the number line.
31.
Label the number line and place a point where the fraction
0 and 1 on the number line.
3
is located. Label
6
32.
Sing Li had 120 baseball cards. After Sing Li bought 50 more cards, Sing Li had 35
more cards than Ray. Which of the following equations shows how to find the
number of cards that Ray has?
n is the number of cards Ray has.
33.
a.
n  120  50  35
b.
n  120  35  50
c.
n  120  50  35
d.
n  120  50  35
There are 51 books on a bookshelf. There are 7 books on the top shelf. There are
4 lower shelves that each have the same number of books.
k is the number of books on each lower shelf.
Part A: Write an equation that can be used to find the value of k.
___________________
Part B: How many books are on each lower shelf?
______________
34.
Mary had 10 carrots. She ate 5 carrots, and then Joe gave her some more
carrots. Mary then had 8 carrots.
Write an equation that can be used to find how many carrots Joe gave Mary.
___________________________
How many carrots did Joe give Mary? ___________
35.
A word problem is shown in the box.
Ray had $50. He bought 2 shirts that cost $19
each. How much money did Ray have after
buying the shirts?
Alex’s answer to the word problem is $29.
Is Alex’s answer reasonable? Circle YES or NO.
YES
NO
Explain your choice using estimation.
____________________________________________
____________________________________________
___________________________________________
In questions 1–8, multiply or divide.
1. 5  9 
5.
42  7 
2. 8  6 
3.
97 
6. 81  9 
7.
72  9 
In questions 9–10, add or subtract.
9.
192  749 
10.
651  376 
4.
8.
69 
56  7 
13.
Which figure above is not a quadrilateral?
14.
a.
I
b.
II
c.
III
d.
IV
Which of the figures below have both of the properties listed? List all that have
both properties.
Properties: 1) All side lengths appear to be equal.
figure is a quadrilateral.
Answer(s): _____________
What is the name of one of the quadrilaterals chosen?
___________________
15. Find an equivalent fraction for
3
6.
2) The
In questions 15–16, there may be one or more common features shared by the figures.
15.
Name a feature that appears to be shared by figures B and C but is not shared by
figures A and D.
_________________________________________________________________
_________________________________________________________________
What name describes figures B and C but does not describe figures A and D?
Answer: ______________
16.
Name a feature that is shared by all of the figures A, B, C, and D.
__________________________________________________________________
__________________________________________________________________
What name describes all of the figures A, B, C, and D?
Answer: ______________
17.
Draw a polygon on the dot grid below that meets both of the following
properties.
The polygon
 is a rectangle
 has all sides of equal length
List 3 other names for the rectangle drawn.
18.
Circle all words that can describe the shape of the computer screen (not
including the base) below. More than one word may be circled.
Square
19.
20.
Parallelogram
Rectangle
Rhombus
Trapezoid
A rectangle is formed by bending a wire that is 32 centimeters long. The length
of the rectangle is 12 centimeters. What is the width, in centimeters, of the
rectangle?
a.
2
c.
6
b.
4
d.
8
The figure below shows the outline of the floor of Rita’s house. What is the
perimeter of the floor of the house?
Answer: Perimeter = _________________ units
21.
Part A: Fill in the blanks below.
The area of the figure above is ______ square units, and the perimeter is _______ units.
Part B: Draw a rectangle on the grid below that has the same area as the rectangle in
Part A but has a different perimeter.
What is the perimeter of the new rectangle?
Answer: Perimeter = _________ units
22. 1
5
1
8
23. 4
7
6
7
22.
Part A: Draw a figure in the grid below that has 3 rows of squares with 6 squares
in each row. What is the area, in square units, of the figure?
Answer: Area = __________ square units
Part B: Explain how the area of the figure drawn above could be calculated
without counting the small squares?
________________________________________________________________________
________________________________________________________________________
___________________________________________________________________
23.
The rectangle above is partially filled with square tiles.
Explain how the area of the rectangle above can be found without counting the
rest of the square tiles that would be needed to fill the rectangle.
____________________________________________
____________________________________________
____________________________________________
24.
Meghan would like to practice cheerleading in her home’s basement, which is 9
feet by 8 feet. The local hardware store has a sale on square pads that have sides
that are 1 foot in length. In order to cover the floor, what is the minimum
number of square pads that must be used? Explain your answer.
__________________________________________________________________
__________________________________________________________________
25.
Which of the following equations represents the total area of the shaded region shown
above?
26.




a.
Area = 3  2  5
c.
Area = 3  2  5
b.
Area = 3  2  5
d.
Area = 3  2  5
Use an area model to show whether 3  8 equals 3  (6  2). Explain why or
why not.
______________________________________________________________________
________________________________________________________________________
27.
Which of the following area models represents the expression 6  (3  5) ?
a.
b.
c.
28.
d.
Which of the following gives the area, in square units, of the figure below?
a.
32  4 4
b.
32  73
c.
36  4 4
d.
37  47
30.
Which of the following two figures has the greater area? Explain your answer.
Figure I
Figure II
__________________________________________________________________
________________________________________________________________________
________________________________________________________________________
31.
Find the area, in square units, of the rectangle shown below. The area of each
small square is 1 square unit.
Answer: Area = __________________ square units
32.
33.
Derek tiles a path that is 1-foot wide on each side around a pool, as shown by
the diagram below. The area of each tile is 1 square foot. Which of the following
will be the total area of the path?
a.
4 square feet
b.
20 square feet
c.
24 square feet
d.
112 square feet
What is the total area, in square centimeters, of the figure shown below? The
area of each small square is
1 square centimeter.
a.
15
b.
20
c.
60
d.
75