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Due Date:
By the 2nd day of school
Every child in the district
entering 5th grade or higher
is encouraged to complete a
summer math packet.
We hope that you have a
wonderful summer and we
look forward to meeting
you in the fall!
FOURTH INTO FIFTH GRADE SUMMER
MATH PACKET 2021
This packet is designed to help your child avoid the “summer
slide” when children “lose about two months of grade level
equivalency in mathematical computation.”
http://education.jhu.edu/PD/newhorizons/Journals/spring20
10/why-summer-learning/
It contains common core review questions chosen by 5th
grade teachers that best help your child prepare for the next
school year.
HOW TO COMPLETE THIS PACKET
Students should complete at least 5 problems a week over
the 10 week summer break. It is not recommended that
students complete the entire packet in early summer, but
instead spread out the work.
As a parent, the best way to support your child with their
summer work is to:
✔ Be positive! Try to plan for the best time/place to
work on the packet.
✔ Make sure your child doesn’t try to get too much
done all at once!
✔ Remind them to use their 4th grade math journals as
a resource.
✔ Encourage them to review their multiplication facts.
It is critical to 5th grade math that they are
memorized. There are several great apps out there
for tablets!
Review your
multiplication
facts!
Here are some helpful websites with
fast and easy games to practice
your multiplication facts.
www.factmonster.com
www.roomrecess.com
www.xtramath.org
www.abcya.com
www.math-drills.com (printable fact worksheets)
Name:____________________________________________
Operations and Algebraic Thinking
1) Solve the number story. Write an equation and write a letter for the
unknown.
Jon’s marble rolled 48 inches. Alana’s marble rolled12 inches. Jon’s marbled
rolled how many times as far as Alana’s?
a) Write an equation with an unknown to represent this comparison.
______________________________________________________________________
b) Answer: ____________times as far
2) Solve the number story. Write an equation with a letter for the unknown.
It takes 3 hours to fly from Chicago to Alberta, Canada. It takes 4 times that
amount to fly from Chicago to Buenos Aires, Argentina. How many hours does
it take to fly to Buenos Aires?
Equation with the unknown: ________________________ Answer: _________hours
3) Find the product of each problem below. Use traditional multiplication.
516 x 7 = ______________________ 418 x 9 = ______________________
37 x 58 = ______________________ 76 x 23 = ______________________
4) a. List the first 10 multiples of 4. ________________________________________
b. List the first 10 multiples of 8. ________________________________________
c. Which multiples of 4 are also multiples of 8?___________________________
d. What pattern do you see when you look at the multiples of 8 and 4?
__________________________________________________________________________
__________________________________________________________________________
5) For each number, list all of the factors.
6) Study the pattern below.
Some helpful vocabulary:
Factors are numbers we can multiply together to get another number. 2 and 3
are factors of 6 because 2 x 3 = 6.
Multiples are numbers that can be divided by another number without a
remainder. 6 is a multiple of 2 and 3 because 6 ÷ 3 = 2.
a. Draw the next step in the pattern.
b. What patterns do you notice? _____________________________________________
______________________________________________________________________________
______________________________________________________________________________
c. How many squares will be in the 6th step? ______________ squares
Number and Operations in Base Ten
7) In 82,075 what is the value of the ……
8?__________________ 2?__________________ 5?__________________
8) a) The value of 1 in 10 is _______________ times as large as the digit 1.
b) The value of 5 in 500 is __________________times as large as the value of
5 in 50.
9) Write a number that has……
8 in the hundreds place
6 in the hundred-thousands place
3 in the tens place
1 in the ten-thousands place
7 in the ones place
0 in the remaining place.
10) Write the number forty-seven thousand, three hundred ninety-two…
a) in standard form.____________ b) in expanded form._____________________
11) Write > or <.
a) 2,675 _______3,675 b) 57,833 _______56,838
12) Round to the nearest thousand.
a) 2,582 _________________________ b) 13,004 _______________________
13) Make an estimate. Write a number model to show your thinking. Solve
each problem. Compare your answer with your estimate to see whether your
answer makes sense.
a) 538 + 928 = ________________ b) 4,674 + 6,053 = ________________
Estimate:_________________________ Estimate:__________________________
c) 836 – 782 = __________________ d) 8,004 – 3,506 = ________________
Estimate:_________________________ Estimate:__________________________
_______ _______ ________, _______ ________ ________
14) Estimate. Write a number model with an unknown to represent the
problem. Then solve using traditional division.
There are 6 pencils in each pack of pencils.
How many packs can be made from 96 pencils?
Estimate:_____________________________________
Number model with unknown:__________________________
Answer: ____________ pack(s)
15) Find the quotient for each problem below using traditional long division.
a) 184 ÷ 8 = _______________________ b) 371 ÷ 3 = _______________________
c) 1325 ÷ 9 = ______________________ d) 2496 ÷ 8 = ______________________
Measurement and Data
16) Complete each table below using the measurement scales.
a) b)
17) Using your knowledge of measurement, solve the following problem.
The giraffe is the tallest land animal in the world. It can be up to 19 feet tall.
The height of the tallest giraffe combined with the height of an African elephant
is 35 feet. What is the height of the elephant in inches?
Answer: _________ inches
18)
Perimeter = distance around l = length w = width
19) Use a formula to find the perimeter of the rectangle.
Equation:_______________________
Perimeter: _____________ inches
20) Jerry wants to build a rectangular vegetable garden with a fence around it.
He wants the garden to be 8 feet long and 4 feet wide. Sketch his garden. Find
the perimeter. Show your work.
Perimeter: _____________ feet
21) Find the area of the rectangle below.
Length: ______________cm
Width: ______________ cm
Equation:______________________________
Area= _____________ square centimeters
22) Mrs. Mobasseri wants to cover a board with fabric. The board is a
rectangle that is 9 feet long and 5 feet high. How many square feet of fabric
will Mrs. Mobasseri need?
Equation:_______________________________ Area= _____________ square feet
23) Using the data in the table, create a line plot below.
Backpack Weights (to the nearest 1
4 pound)
a) How many students carry a backpack that weighs 5 pounds? _________
a) How many students carry a backpack that weighs 51
4 pounds? _________
b) Which weight is carried by the greatest number of students? ____________
Area formula for rectangles
Area = length x width A= l x w
24) Name each shape below and describe one property of each.
Name: ______________________ Name: ______________________
Property: ____________________ Property: ___________________
(Property: describe something about their sides, angles, measures etc.)
25) Carefully read each of the definitions below. Then find one quadrilateral
that shows an example of each type of quadrilateral. Write the letter of your
example next to the definition.
Number and Operations - Fractions
26) Color the circles and write the missing numerators.
a)
b)
Write the following fractions in order from smallest to largest.
27) 28)
29) Allie and Cherice both run to stay in shape. On Saturday, Allie ran 3
8 of a
mile more than Cherice. Cherice ran 7
8 of a mile. How far did Allie run?
a. Number model with unknown: ________________________________________
b. Show your work:
c. Answer (with unit): __________________________________________________
30) Add. 31)
32)
33) Three softball players brought water for their team practice. Jillian
brought 21
3 gallons. Sreya brought 1
2
3 gallons. Ayla brought 2
2
3 gallons. How
much water did the softball team have for their practice?
a. Number model with unknown: ________________________________________
b. Show your work:
c. Answer (with unit): __________________________________________________
34) A vegetable lasagna recipe called for 3
4 teaspoon of pepper. Caleb used
1
4
teaspoon when he grilled the vegetables. He added the rest to the cheese mix.
How much pepper did Caleb add to the cheese mix?
a. Number model with unknown: ________________________________________
b. Show your work:
c. Answer (with unit): __________________________________________________
35) Rafael drew two line segments. The combined length was 7 inches. One of
the line segments was 2 3
8 inches long. How long was the other line segment?
a. Number model with unknown: ________________________________________
b. Show your work:
c. Answer (with unit): __________________________________________________
Use what you know about equivalent fractions to add. Write an equation to
show your work.
36) 8
100+
6
10=
Equation: ___________________________________________________________________
37) 42
100+
9
10=
Equation: ___________________________________________________________________
38) Color part of each circle to show the decimal. Then name the fraction that
is colored.
39) Write the fraction and equivalent decimal for each grid.
40) Compare the following numbers using <, >, and =.
0.09 __________ 0.12 0.24 __________ 0.42
0.10 __________0.02 0.18 __________ 0.5
0.2 __________0.08 0.3 __________ 0.24
