summer math packet for students entering 5th grade student ... · 6. vera went on a 3 day trip in...

1 Entering Grade 5 Summer Math

Summer Math Packet For Students Entering 5th Grade

Student’s Name:

Dear Parents,

Summer is a time to have fun, relax, and reflect with your child on

all that he/she has learned in the last ten months. There is much

growth to celebrate! Let’s keep the growth going by completing this

Summer Math Packet. Research supports the fact that the summer

slide is real, especially for math. As you plan summer events with

your family, we encourage you to take time to support your child’s

growing mathematical literacy. A few minutes of daily math practice

will keep math concepts and skills current for your child as he/she

prepares to enter grade 5.

Part 1: Basic Fact Practice

Upon entry to grade 5, all students should have mastered basic

facts for all operations. They are also expected to fluently add and

subtract large numbers. Although this section would benefit all, we

highly recommend that students who struggled with basic facts, or

received a 1 or 2 in Number, Operations and Algebraic Thinking

on the Trimester 3 report card, complete this portion of the packet.

Part 2: Problem Solving

This section is a review of grade 4 numeracy topics and provides

appropriate practice for all students to keep their mathematical

thinking sharp over the summer.

Part 3: Creative Thinking

This section offers enrichment extensions for those students

looking to challenge themselves. Encourage your child to try them!

Please remind them that they get to use their math knowledge in

different ways as they try the Creative Thinking questions.

Additionally, you may want to try some of the activities in the column

to the left. Check out FunBrain, NRich and Greg Tang Math for more

math challenges. If you are interested in additional summer practice,

you can access the Commissioner’s Summer Math Challenge found

to the left. The CT Commissioner’s Summer Math Challenge is

available to all students across the state.

Although the Summer Math Packet is optional, those who

participate should return their completed packets to their 2018-19

homeroom teacher by Friday, August 31. Your math specialist will

recognize the hard work of those students who complete the

packet. Your support in helping your child maintain math skills is

essential.

Have a safe and wonderful summer.

Mary Santilli, Math Program Leader, and the Math Specialist Team

Parent Signature:

Online practice

X-Tra Math

https://xtramath.org

FunBrain http://www.funbrain.com

Math Enrichment

NRich

https://nrich.maths.org

Greg Tang Math http://www.gregtangmath.com/summer

MORE Summer Math

Commissioner’s Summer

Math Challenge

http://portal.ct.gov/SDE/M

ath/Summer-Math-

Challenge

Kindly direct questions to:

Dr. Floria N. Mallozzi Coordinator of K-8 STEM Curriculum Department Long Hill Administration

Building

(203)452-4336

http://www.funbrain.com/

https://nrich.maths.org/

http://www.gregtangmath.com/summer

http://www.gregtangmath.com/summer


Part 1: Basic Facts

____ × 10 = 100 9 × ____ = 72 64 = ____ × 8 35 = ____ × 7

36 = ____ × 9 ____ × 7 = 42 6 × ____ = 24 6 × ____ = 18

____ × 2 = 24 12 = 3 × ____ ____ × 4 = 28 ____ × 9 = 45

32 = ____ × 4 ____ × 9 = 18 24 = ____ × 4 42 = ____ × 7

____ × 3 = 27 35 = 7 × ____ ____ × 3 = 18 ____ × 7 = 14

54 = 6 × ____ ____ × 8 = 40 15 = 3 × ____ 60 = 6 × ____

10 × ____ = 70 30 = ____ × 6 ____ × 9 = 63 ____ × 8 = 48

90 = 10 × ____ ____ × 3 = 24 20 = 4 × ____ 72 = 9 × ____

____ × 9 = 81 28 = 7 × ____ ____ × 8 = 56 ____ × 6 = 30

36 = 6 × ____ ____ × 8 = 72 18 = 6 × ____ 54 = 9 × ____


____ × 9 = 45 24 = ____ × 4 ____ × 9 = 18 ____ × 2 = 24

42 = ____ × 7 ____ × 4 = 28 12 = 3 × ____ 32 = ____ × 4

____ × 7 = 14 ____ × 3 = 18 35 = 7 × ____ ____ × 3 = 27

15 = 3 × ____ 60 = 6 × ____ 54 = 6 × ____ ____ × 8 = 40

10 × ____ = 70 30 = ____ × 6 ____ × 9 = 63 ____ × 8 = 48

90 = 10 × ____ ____ × 3 = 24 20 = 4 × ____ 72 = 9 × ____

____ × 9 = 81 28 = 7 × ____ ____ × 8 = 56 ____ × 6 = 30

36 = 6 × ____ ____ × 8 = 72 18 = 6 × ____ 54 = 9 × ____

____ × 10 = 100 9 × ____ = 72 64 = ____ × 8 35 = ____ × 7

36 = ____ × 9 ____ × 7 = 42 6 × ____ = 24 6 × ____ = 18


____ × 5 = 30 7 × ____ = 49 56 = ____ × 8 20 = ____ × 4

54 = ____ × 9 ____ × 6 = 48 5 × ____ = 45 6 × ____ = 36

____ × 7 = 63 54 = 6 × ____ ____ × 8 = 40 ____ × 4 = 32

40 = ____ × 5 ____ × 8 = 64 24 = ____ × 4 42 = ____ × 7

____ × 3 = 27 35 = 7 × ____ ____ × 3 = 18 ____ × 7 = 14

36 = 4 × ____ ____ × 3 = 6 30 = 6 × ____ 56 = 7 × ____

7 × ____ = 7 18 = ____ × 9 ____ × 9 = 72 ____ × 3 = 30

24 = 6 × ____ ____ × 3 = 9 25 = 5 × ____ 27 = 3 × ____

____ × 10 = 90 28 = 7 × ____ ____ × 3 = 15 ____ × 9 = 81

16 = 4 × ____ ____ × 8 = 72 18 = 6 × ____ 90 = 10 × ____


12 = 3 × ____ 32 = ____ × 4 ____ × 9 = 45 ____ × 2 = 24

____ × 4 = 28 6 × ____ = 24 42 = ____ × 7 ____ × 9 = 18

____ × 3 = 18 35 = 7 × ____ ____ × 7 = 14 ____ × 3 = 27

60 = 6 × ____ 54 = 6 × ____ 15 = 3 × ____ ____ × 8 = 40

30 = ____ × 6 ____ × 9 = 63 10 × ____ = 70 ____ × 8 = 48

____ × 3 = 24 20 = 4 × ____ 90 = 10 × ____ 72 = 9 × ____

28 = 7 × ____ ____ × 8 = 56 ____ × 9 = 81 ____ × 6 = 30

____ × 8 = 72 18 = 6 × ____ 36 = 6 × ____ 54 = 9 × ____

9 × ____ = 72 64 = ____ × 8 ____ × 10 = 100 35 = ____ × 7

____ × 7 = 42 24 = ____ × 4 36 = ____ × 9 6 × ____ = 18


7 × ____ = 7 18 = ____ × 9 ____ × 9 = 72 ____ × 3 = 30

24 = 6 × ____ ____ × 3 = 9 25 = 5 × ____ 27 = 3 × ____

____ × 10 =

90 28 = 7 × ____ ____ × 3 = 15 ____ × 9 = 81

16 = 4 × ____ ____ × 8 = 72 18 = 6 × ____ 90 = 10 ×

____

____ × 5 = 30 7 × ____ = 49 56 = ____ × 8 20 = ____ × 4

54 = ____ × 9 ____ × 6 = 48 5 × ____ = 45 6 × ____ = 36

____ × 7 = 63 54 = 6 × ____ ____ × 8 = 40 ____ × 4 = 32

40 = ____ × 5 ____ × 8 = 64 24 = ____ × 4 42 = ____ × 7

____ × 3 = 27 35 = 7 × ____ ____ × 3 = 18 ____ × 7 = 14

36 = 4 × ____ ____ × 3 = 6 30 = 6 × ____ 56 = 7 × ____


6 × ____ = 24 2 × ____ = 24 ____ × 9 = 45 ____ × 3 = 18

____ × 9 = 18 ____ × 10 = 50 42 = ____ × 7 10 × ____ = 70

12 = 3 × ____ 32 = ____ × 4 ____ × 7 = 14 24 = ____ × 4

35 = 7 × ____ ____ × 3 = 27 15 = 3 × ____ 60 = 6 × ____

54 = 6 × ____ ____ × 8 = 40 ____ × 9 = 63 30 = ____ × 6

____ × 8 = 48 ____ × 10 = 100 90 = 10 × ____ ____ × 3 = 24

20 = 4 × ____ 72 = 9 × ____ ____ × 9 = 81 28 = 7 × ____

____ × 8 = 56 ____ × 6 = 30 36 = 6 × ____ ____ × 8 = 72

18 = 6 × ____ 54 = 9 × ____ ____ × 4 = 28 9 × ____ = 72

64 = ____ × 8 35 = ____ × 7 36 = ____ × 9 ____ × 7 = 42


Part 2: Problem Solving

1. Write the number 58,708 in expanded form.

2. The sale prices for 3 homes are $212,599, $209,699, and $220,499. Write

the home prices in order rom greatest to least.

3. The height of the Willis Tower in London is 1,450 feet. The Petronas Towers

in Malaysia are each 1,482 feet tall. Which is taller? Explain how you know.

Use complete sentences and the correct math vocabulary.

4. Emily read a 210 page book in 7 days. She read the same number of pages

each day. Write the number sentence that shows how to find the number of

pages Emily read each day. Then solve and label the answer.


5. Marcie’s horse weighs 1,460 pounds. Sue’s horse weighs 943 pounds. How

much more does Marcie’s horse weigh than Sue’s horse?

6. Vera went on a 3 day trip in which she traveled 336 miles the first day, 423

miles the second day, and 357 miles on the third day. Is 300 or 400 a more

reasonable estimate for about how far she went on each of the 3 days?

Explain your reasoning in complete sentences.

7. If you grow ¾ of an inch each month for a year. How many inches did you

grow in a year? If you are 3 ft. 6 inches now, how tall are you at the end of

the year?

8. Maria knows there are 24 hours in one day and 7 days in one week. So, she

figured out that there are 168 hours in one week. Is her answer reasonable?

Explain why or why not.


9. Use table below to answer question #10 below. You are going on a three-day

camping trip in the Grand Canyon. The chart shows the weights of some

equipment you may need. Each person must take at least 2 water canteens and 3

food tins on the trip.

10. You are going to hike alone and carry a backpack. The backpack can hold up to 25 lbs.

What equipment will you take on the trip? Remember what you have to take.

Equipment Weight (lb.)

Water Canteen 1

Food Tin 2

Compass 1

Shovel 5

Binoculars 3

Tent 8

Chair 10

Pillow 2

Extra Clothes 7

Cooking Pots/Pans 30

Sleeping Cushion 4


11. You and four friends are taking a donkey on the trip. The donkey can carry 180 lbs.

You will not take backpacks. You will need two tents. What equipment will you take on

this trip?

12. You need 21

2 cups of raising for a recipe. If you want to double the recipe, how many

cups of raising will you need?

Draw a model in space below

Write the equation that represents your model


13. Ben has four jars that he wants to fill with pennies. If he puts 231 pennies in each

jar, how many pennies does he have all together?

14. Show your work to solve: 3 × 1,789

15. a) Find the product of 6 and 4,296

b) Explain how you would estimate to check if your answer is reasonable.

16. Write and solve your own problem multiplying a 4 digit by 1-digit number with a

product between 8,000 and 9,000. Show all your work.


17. Four friends bought a present for Joan which cost $36. How much less would each

friend pay if six friends shared the cost equally rather than four friends?

18. Solve this expression and show all your mathematical thinking. 23 × 46

19. Use mental math to multiply the following:

a) 30 × 70 b) 600 × 7

b) 500 × 30 d) 40 × 50

20. To win a game, you need a product that is as close to 1,600 as possible. You can

choose 2 factors from the numbers 18, 42, 56, and 81. Which numbers can you select

so that the product is closest to 1,600?


21. Ms. Smith has twelve weeks to practice for a running race. Over the course of one

week, she plans to run 17 miles. How many likes will Ms. Smith run all together?

22. There are fifty two weeks in one year. How many weeks are in twelve years?

23. Dave plans to tile his floor. He wants to buy twenty-five black tiles and 23 white

tiles. Each tile costs $16. How much money will it cost Dave to tile his floor?

24. Jim has 3,000 tickets for rides at the school carnival. Jim needs to pack small plastic

bags with 8 tickets in each bag. About how many bags will he need?

25. Jay has 147 trophies and four shelves. He wants to put the same number of trophies

on each shelf. How many trophies will be on each shelf? How many trophies will be

left over?


26. Jim has 420 books. He wants to buy 6 bookcases. Each bookcase will hold exactly 60

books. He says that all the books will fit in the 6 bookcases. Is he correct? Why or

why not? Use your mathematical reasoning to explain your solution.

27. The class decides to have a picnic at an amusement park. Four students buy 35

tickets for rides. If the students get the same number of tickets how many tickets

does each student get? How many more tickets should they gut to evenly distribute

what is left?

28. Sixty people will attend a dinner party. Each table at the party seats 8 people. How

many tables are needed to seat everyone? Write an equation to represent the

problem and then solve.

29. Tigerville Elementary School has students in grades 3, 4, and 5. There is a total of

585 students enrolled. All three grades have the same number of students. How many

students are in each grade?


30. Solve the problems below. Show all your work!

417 ÷ 9 = 768 ÷ 3 =

31.Max skated 2

5 of a mile. Carol skated

3

4 of a mile, and Pat skated

1

2 of a mile. Write

these distances in order from greatest to least. Explain how you decided to order the

fractions.

32. Alicia wants to cut this board in four equal parts. She cut off the shaded part first.

Did Alicia cut off 1

4 of the board? Explain how you know.

33. List all the factors of 36


34. Lynn says that all numbers that are multiples of 4 have a factor of 2. Is Lynn

correct? Explain your answer.

35. SOLVE:

3

8 + ___ =

7

8

36. Write three equivalent fractions for 5

6

37. Mark is making banana bread and muffins for a party. He uses 2

5 of a bag of walnuts

for the bread and 4

5 0f a bag of walnuts for the muffins. What is the total amount of

walnuts Mark used for the bread and muffins?

Write an equation and solve:

How many bags of walnuts should Mark buy?


38. What is the perimeter of a square with a side of 3

4 inches? Draw the square below

and label the sides.

Perimeter = __________

39. You use 9

12 of a sheet of construction paper to make decorations. How much of the

sheet is left? Simplify if you can.

40. Clara had 5

6 lb. of almonds. She used

1

2lb. to make a cake. How many pounds of almonds

were left? Simplify if you can.

41. One lap around a race track is 440 yards. If you ran around the race tract 9 times,

how many feet would you run?


42. Mika is studying the layout of the zoo. She sees that7

12 of the zoo is animals,

1

12 is

food courts space, and 1

6 of the space is used for picnic areas. What fraction of the

zoo is left for the new dinosaur exhibit? Show all your mathematical thinking in the

space below.

Draw a model

Write an equation to represent the problem and solve

Explain your reasoning


Solve the problems below. Show all your work.

Find the SUM

6,489 3,128 7,264 2,037

+ 3,451 + 3,451 + 3,451 + 3,451

$8.27 $48.61 + $29.98 $16.37 + $8.75

+ $4.83

Find the DIFFERENCE

4,823 72,681 5,912 28,645

-3,971 -19,730 - 4,824 - 7,298

33,838 80,401 – 4,423 7,589 – 94

- 1,497


Find the PRODUCT

605 432 384

× 18 × 46 × 93

3718 4851 1028

× 52 × 37 × 64

Find the QUOTIENT

591 ÷ 7 264 ÷ 12 2815 ÷ 4

ROUND to the nearest…

Ten Thousand Thousand Hundred

16,221 533,657 99,054


PRIME Number

A whole number greater than 1 that has only two factors, 1 and itself.

Examples: 2, 3, 5, 7, 11, 13, 17, and 19 are all prime numbers.

COMPOSITE Number

A whole number greater than 1 that has more than two factors.

Example: 8 is a composite number since its factors are 1, 3, 4 and 8.

Determine if the following numbers are prime or composite. List all factors if the

number is composite.

27

39

43

49

51

87

19

17

97

48


COMPARE Fractions

Compare each pair of number using the symbols <, >, =.

Write the correct comparison symbol in the circle.

Make sure you have common denominators before making comparison.

Example: 1

3

3

4

4

12

9

12

3

8

5

8

3

4

3

8

1

2

4

8

3

7

1

4

3

5

5

6

7

8

3

4

ORDER Fractions

Order the following fractions from least to greatest.

Place in Order 3

8,

5

8,

4

8,

2

8,

7

8

1

2,

1

4,

1

6,

1

3,

1

5

1

5,

4

5,

1

10,

6

10,

7

10

1

2,

5

4,

2

3,

8

8,

1

6


ADD Fractions and Mixed Numbers

Add the following fractions. Make sure you have common denominators

before adding.

6

10 +

3

10 = _____ 2

3

8 + 1

2

8 = _____

1

9 +

5

9 = _____

1

12 +

2

12 = _____

SUBTRACT Fractions

Subtract the following fractions. Make sure you have common denominators

before subtracting. Remember, you only subtract the numerator (top

number) and you keep the denominator (bottom number) the same. Simplify

your final answer.

5

6 -

3

6 = _____ 2

8

12 - 1

3

12 = _____

7

10 -

2

10 = _____ 3

4

5 -

1

5 = _____


GEOMETRY

Use the following shapes to answer the questions below.

I am a 2 dimensional shape that has four sides. I have four 90 degree

angles. I have two sets of parallel lines. I also have two sides that are one

length, and my other two sides are a different length.

Who am I?

I am a 2 dimensional shape that has three acute angles. All of my sides are

the same length. I have no parallel sides.

Who am I?

I am a 2 dimensional shape that has four sides. I have two obtuse angles

and two acute angles. I have two different sets of parallel sides. I also have

two sides that are one length, and my other two sides are a different

length.

Who am I?

I am a 2 dimensional shape that has 5 obtuse angles. I do not have any sides

that are parallel.

Who am I?

I am a 2 dimensional shape that has four 90 degree angles. I have four

sides that are all the same length. I have two different sets of parallel

sides.

Who am I?

I am a 2 dimensional shape. My perimeter is also known as a circumference.

Who am I?

0


Part 3: Creative Thinking

1.

Movie Master

Last month. I was the Movie Master for my Movie-of-the-

Month Club. I bought some adults’ tickets at $7 each and some children’s

tickets at $5 each. I spent a total of $104.

How many of each kind of ticket did I buy?

2.

Coin Quest

Arrange one or more coins on each spot so that the total value of all

the coins along each line is 42¢.

Use the following

coins:

1 quarter

3 dimes

5 nickels

4 pennies


3.

Fred, Ned, and Ted

Fred, Ned, and Ted each have a whole number of dollars.

Together

Fred and Ned have $20

Fred and Ted have $25

Ned and Ted have $27

How much money do the three of them have altogether?

4.

Square This!

The perimeter of a square is a square number of centimeters between 40 and

100. Each side of the square is a square number of centimeters long.

What is the area of the square in square centimeters?

side = _____cm

Area = _____ cm²


5.

And the Winner is…

Three thousand people voted in a town election. The winner beat the loser

by 2,000 votes. How many votes did the winner get?

6.

Fish Facts

Use the numbers in the box to complete the story so it makes sense.

The pet shop has _________goldfish and guppies.

There are _________ more guppies than goldfish,

Or _________ guppies and _________goldfish.

Each tank holds _________ fish.

There are _______ full tanks and

one tank that holds just ________ fish. .

11 25 298

199 23

100 99


7.

Which One is Wrong?

Suppose you have $5 in quarters and dimes. Which of the

following could not be your total number of coins?

23 37 26 47 35

8.

What’s TAT Worth?

Each letter below stands for one digit.

Same letters stand for the same digits.

Different letters stand for different digits.

If B × A × T = 8

And C × A × T = 12

Then T × A × T = ?


9.

New Address

We just moved up the street. Here’s how to find our new house number.

Our house number has two digits, both of which are the same.

The sum of my parents’ ages is our house number.

Reverse the digits of one parent’s age and you get the other parent’s age.

Our house number is 11 times the difference in my parents’ ages.

What are my parents’ ages?

What is our new house number?

10.

Syd’s Cycle Shop

Enter the contest at Syd’s Cycle Shop!

Syd has three kinds of cycles in his shop. He has tricycles, bicycles, and

unicycles.

There are a total of 150 wheels and 70 seats on cycles in Syd’s shop.

There are twice as many bicycles as tricycles.

How many of each kind of cycle is in Syd’s shop?

summer math packet for students entering 5th grade student ... · 6. vera went on a 3 day trip in...

Documents