1
Name ___________________________________________
WEEK 1
(First and Last)
Summer Math Packet for Grade 5 into 6
1. What is value of the digit 5 in the number below?
857,140, 639
A. fifty
B. five hundred thousand
C. five million
D. fifty million
5.N.2
2. How many factors does the number 24 have?
A. 4
B. 6
C. 8
D. 12
5.N.8
3. Compute the following:
.7 + 10 + .06
A. 10.76
B. 10.076
C. 11.3
D. 17.06
5.N.12
4. A bookstore sold 1300 copies of a newly released book for $9.50 each. What was the total amount of the
bookstore’s sales from this book?
SHOW WORK
Answer box
5.N.9
2
WEEK 1
MATH DRAGONFLY CHALLENGE (Grade 5 into 6)
This is a coloring activity. You may use crayons, colored pencils, or markers. Read the clues that tell you what
color to color each section of the dragonfly.
• Color the section of the
dragonfly that is equal to 72
blue.
• The LCM (least common
multiple) of 5 and 11 is ____.
This section should be colored
yellow.
• This number is neither prime
nor composite so color this
section red.
• The GCF (greatest common
factor) of 18 and 27 is ____.
And this section should be
colored orange.
• 52 - 22 = _____ and color
this section yellow
• The third prime number is
____ and color this section
green.
• This number’s factors are:
(1, 2, 3, 6, 9, 18)…. And color
this section green.
5.N.8 Apply the number theory concepts of common factor, common multiple, and divisibility rules for 2, 3, 5, and 10 to the solution of
problems. Demonstrate an understanding of the concepts of prime and composite numbers.
Math vocabulary review
3
WEEK 2
5. What fraction of the total of smiley faces are in the box?
1
8
1
B.
4
1
C.
3
1
D.
2
A.
5.N.4
6. Naomi measured the angles of a triangle. Two of the angles measured 20° each. What was the measure of the
third angle of Naomi’s triangle?
A. 20°
B. 50°
C. 140°
A. 180°
5.M.5
7. Ms. Brown needs 8 eggs in order to make 2 cakes. What is the total number of cakes she could make with 24
eggs?
A. 3
B. 4
C. 6
D. 8
5.P.5
3
4
8. Compute 4 – 2 =
4
5
SHOW WORK
Answer box
5.N.13
4
Number Theory
WEEK 2
Find these 12 missing words in the word search above. Circle the word in the word search and write in the word
in each of the clues below.
1) A number with more than 2 factors is C __ __ __ __ __ __ __ E.
2) The least common multiple of two (2) and nine (9) is E __ __ __ __ __ __ N.
3) A whole number that has a 0, 2, 4, 6, or 8 in the ones digit is
an __ __ __ __ number.
4) A number that “fits inside” another or one of the numbers that is multiplied with others to create a product
is called a F__ __ __ __ __.
5) The abbreviation for greatest common factor is __ __ __.
6) The abbreviation for least common multiple is __ __ __.
7) The product of n and a counting number. For example if you count by 7’s: 7, 14, 21, 28, 32 … you have
found the M __ __ __ __ __ __ __ __ of 7.
8) The next square number after four is __ __ __ __.
9) A whole number that has a 1, 3, 5, 7, or 9 in the ones digit is an __ __ __ number.
10) A number with exactly 2 factors (1 and itself) is called P __ __ __ __.
11) A whole number multiplied by itself results in a
S __ __ __ __ __ N __ __ __ __ __. Examples include 16, 36, 81, 100…
12) The next prime number after nineteen (19) is T __ __ __ __ __ T __ R __ __.
5.N.8
5
WEEK 3
9. The perimeter of a square is 20 ft. What is the area of the square? (Hint: draw a picture)
A. 16 sq. ft
B. 20 sq. ft.
C. 25 sq. ft.
D. 40 sq. ft.
5.M.1
10. Point P is located on the number line shown below.
Which of the following fractions best represents the location of point P ?
1
A.
4
3
B.
8
3
C.
4
4
D.
5
5.N.4
11. At Sam’s Pet Store, 20% of the animals are lizards. What fraction of the animals are lizards?
1
A.
20
1
B.
10
1
C.
5
1
D.
4
5.N.5
12. José picked 273 strawberries at the strawberry patch. He gave away all the strawberries to 13 friends. If José
divided the strawberries equally, how many strawberries did each friend receive?
SHOW WORK
Answer box
5.N.9
6
WEEK 3
“Make your own pet”
Follow the directions and draw your pet in the space on the bottom. Do not add anything to the pet
that is not asked for. Only add color for the collar.
Head:
If 6 + 5 x 2 is 22 then make a round head in
the center of the drawing area.
Body:
If
is a trapezoid, then make a
trapezoidal body under the head.
If 6 + 5 x 2 is 16 then make a square head in
the center of the drawing area.
Tail:
If 102 is 100 then make a long skinny tail to
the right of the body.
If 102 is 20 then make a short fat tail to the
right of the body.
Legs and Paws:
If 8 is a square number, draw four legs like this
If
is an Isosceles triangle then make a
Isosceles triangle body under the head.
Collar:
If 12 x 7 = (10 x 7) + (2 x 7) then make a red
collar between the head and body.
If 12 x 7 = 2 x 7 x 10 then make a blue collar
between the head and body.
Ears: (put on top of head)
If 4 is a factor of 2 the make 2 triangular ears
like:
attached to the body.
If 8 is NOT square number, draw four legs like
this
attached to the body.
Face:
Draw
3.
Draw
of 3.
If 4 is a multiple of 2 then make 2 upside-down U
shaped ears like:
Whiskers:
on the head if 675 is a multiple of
on the head if 675 is not a multiple
Add 4 whiskers to each side of the nose if 63 is
one less than a square number.
Add 2 whiskers to each side of the nose if 63 is a
square number.
Draw your pet in this space.
Massachusetts State Standards assessed:
5.G.1 Identify, describe, and compare special types
of triangles (isosceles, equilateral, right) and
quadrilaterals (square, rectangle, parallelogram,
rhombus, trapezoid), e.g., recognize that all
equilateral triangles are isosceles, but not all isosceles
triangles are equilateral.
5.N.1 Demonstrate an understanding of (positive
integer) powers of ten, e.g., 102, 105.
5.N.8 Apply the number theory concepts of common
factor, common multiple, and divisibility rules for 2,
3, 5, and 10 to the solution of problems. Demonstrate
an understanding of the concepts of prime and
composite numbers.
Created by: D. Huntress
7
WEEK 4
13. What is the value of
that makes the equation below true?
84 = 4
A. 11
B. 21
C. 80
D. 336
5.P.3
14. The clues below describe a three-digit number.
• The hundreds digit is 6.
• The ones digit is 2.
• The three-digit number is divisible by 3.
Which of the following could be the tens digit of the number?
A. 1
B. 2
C. 3
D. 6
5.N.8
15. Which of the following shows one hundred four thousand, six hundred twenty-nine and four hundredths written
in standard form?
A. 104,629.004
B. 104,629,400
C. 104,629.04
D. 104,629.4
5.N.2
16. Compute
1
7
1
+
=
10
2
SHOW WORK
Answer box
5.N.13
8
WEEK 4
MATH VOCABULARY FROG CHALLENGE (Grade 5 into 6)
This is a coloring activity. You may use crayons, colored pencils, or markers. Read the clues that tell you
what color to color each section of the frog.
8: If 8 is a multiple of 4, color it
green. If 8 is a factor of 4, color it
blue.
28: If 28 is divisible by 3 then color
this section brown. If 28 is not
divisible by 3, then color this section
blue.
13: If 13 is composite, color this
section brown. If 13 is prime, color it
green.
7: If 7 is prime color this section red.
If 7 is composite, color this section
yellow.
32: If 32 is 4 less than a square number, color this section orange. If 32 is not 4 less than a square number then color
this section brown.
9: If 9 is a composite number, color this section purple. If 9 is prime, color this section red.
20: If 20 is the least common multiple of 2 and 5, color this section brown. If 20 is not the least common multiple of
2 and 5, color this section yellow.
22: If 22 is divisible by 2, color this section green. Otherwise, color it purple.
50: If 50 is a square number, color this section black. If 50 is not a square number, color this section red.
14: If 14 is a multiple of 4, color this section green. If 14 is not a multiple of 4, color this section yellow.
6: If 6 is a multiple of 3, color this section green. If 6 is a factor of 3, color it purple.
5.N.8 Apply the number theory concepts of common factor, common multiple, and divisibility rules for 2, 3, 5, and 10 to the solution of
problems. Demonstrate an understanding of the concepts of prime and composite numbers.
Math vocabulary review
Created by: D. Huntress
9
WEEK 5
17. Carl is decorating his room using a pattern of shapes. The picture below shows his pattern repeated three times.
If the pattern continues, what will be the 65th shape in the pattern?
A.
B.
C.
D.
5.P.1
18. Compute 12 x 0.04
A. 0.48
B.
4.8
C.
48
D. 480
5.N.12
19. Which of the following is a set of composite numbers?
A. {19, 31, 37, 41}
B. {9, 27, 39, 51}
C. {7, 13, 23, 47}
D. {2, 5, 11, 17}
5.N.8
7
20. Compute 103 1 – 29 =
8
4
SHOW WORK
Answer box
!
!
5.N.13
10
Spell out my number
Across
2) 72÷9 =
3) two less than 5
4) 16 ÷ 8 =
7) four more than 16
10)
9 x (10
11) one=less
than–1)
5x6
13) 10 squared (or 10 to the power of 2)
14) (2+ 1) x (8 +2) =
15) Number of states in the United States
16) (6 + 3) x 7 =
17) eleven less than 20
18) one less than 100
WEEK 5
Down
1) Three less than 20
4) 12 x 2 =
5)
=8x5
6) next prime number after seven
8) next composite number after 10
9) 3 x 5 =
+9
12) one more than 999
14) 18 x 2 =
Massachusetts standards:
5.N.1 Demonstrate an understanding of (positive integer) powers of ten, e.g., 102, 105.
5.N.9 Solve problems involving multiplication and division of whole numbers, and multiplication of
positive fractions with whole numbers.
5.N.10 Demonstrate an understanding of how parentheses affect expressions involving addition,
subtraction, and multiplication, and use that understanding to solve problems, e.g., 3 x (4 + 2) = 3 x 6.
11
WEEK 6
21. In the equations below, each shape stands for the same number evrey time that it appears.
If both of these equations are true, what is the value of
A. 3
B. 5
C. 15
D. 75
?
5.P.3
22. The running log below show how many miles Jacob ran Monday through Friday of last week.
Jacob’s Running Log
Day
Miles
1
Monday
6
Tuesday
Wednesday
Thursday
Friday
2
6
5
What is the mean (average) number of miles he ran each day for the days shown in the running log?
A.
B.
C.
D.
2
4
5
6
5.D.1
23. Compute 426 x 0.19
A. 809.40
B. 445
C. 80.94
D. 42.60
5.N.12
24. Compute 1896 ÷ 24
SHOW WORK
Answer box
5.N.12
12
WEEK 6
Four Sided Shapes
Directions: The names of 6 different quadrilaterals can be found in the puzzle below. Circle all six of the words.
5.G.1
Count the triangles
Directions: Count the total number of triangles that you see in each of the 3 figures drawn below. Write your
answer underneath each figure.
Total number of triangles in:
A) _________________
B) ___________________ C) ___________________
5.G.1
13
WEEK 7
25. Which streets on this map appear to be parallel?
A. Talley and Franklin
C. Franklin and Holloway
B. Starlight and Pierce
D. Holloway and Starlight
5.G.3
26. What mixed number is represented by the image below?
A.
4
7
C.
8
7
B.
7
8
D.
7
4
!
!
5.N.5
!
27. Convert to a decimal: 75%
!
A. 0.75
B. 0.075
C. 0.025
D. 0.25
5.N.5
28. Calculate the volume of the rectangar prism below. Be sure to show all computations (math work) and label
your answer properly.
SHOW WORK
Answer box
Answer box:
5.M.4
14
WEEK 7
MATH BEE CHALLENGE (Grade 5 into 6)
This is a coloring activity. You may use crayons, colored pencils, or markers. Read the clues that tell
you what color to color each section of the bee.
• Color the section of the bee that is equal to 32 blue.
• The LCM (least common multiple) of 2 and 19 is ____. This section should be
colored orange.
• This number is a factor of all whole numbers. Color this section blue.
• The GCF (greatest common factor) of 20 and 24 is ____. And this section should be
colored yellow.
• 15 - (10 – 3) = ____ and color this section purple
• Color the section of the bee that is equal to 42 orange.
• This odd number is divisible by 9 and has four factors. Color this section yellow.
• Color the section of the bee that is equal to 52green.
5.N.8 Apply the number theory concepts of common factor, common multiple, and divisibility rules for 2, 3, 5, and 10 to the
solution of problems. Demonstrate an understanding of the concepts of prime and composite numbers.
5.N.10 Demonstrate an understanding of how parentheses affect expressions involving addition, subtraction, and multiplication,
and use that understanding to solve problems, e.g., 3 x (4 + 2) = 3 x 6.
Math vocabulary review
Created by: D. Huntress
15
WEEK 8
29.
If A equals 63°, what is the value of B? (Hint: Recall how many degrees are in every triangle)
A. 153°
B. 117°
C. 90°
D. 27°
5.M.5
30. Convert to meters: 300 cm
A. 300 m
B. 0.03 m
C. 3 m
D. 30 m
5.M.3
31. What is the minimum of the following set of numbers?
58, 49, 62, 53, 49, 44, 70
A. 58
B. 49
C. 53
D. 44
5.D.1
32. Compute 0.689 x 84
SHOW WORK
Answer box
5.N.12
16
Spell out my number again
WEEK 8
Across
2) 8+ 5 x 4 =
5)
+5=7+1
7) 88 x 1/4 =
Down
1
10)
= 21 x /3
1
12) 18 x /3 =
1) Heinz varieties (55 + 2 =
3) 40 =
+6
13) 88 x ½ =
15) five less than 70
4) 76 =
+ 10
18) 10 =
6)
- 12= 87
8) 14 less than 50
19) 9 =
x2
÷8
21) ½ x 20 =
)
9) 2 ÷ 2 =
11)
- 4 = 12
5.N.13 Accurately and efficiently add and subtract positive fractions and mixed
numbers with like denominators and with unlike denominators (2, 4, 5, 10
only); multiply positive fractions with whole numbers. Simplify fractions in
cases when both the numerator and the denominator have 2, 3, 4, 5, or 10 as a
common factor.
14)
+ 5 = 23
16) three more than 10
17) Number of keys on a piano;
also, 44 doubled
5.P.3 Use the properties of equality to solve problems with whole numbers,
e.g., if  + 7 = 13, then  = 13 – 7, therefore  = 6 ; if 3 x  = 15, then  =
15 ÷ 3, therefore  = 5.
20) 7 + 8 = 13 +
17
WEEK 9
33.
What value does the dot on the number line represent?
1
A.
2
1
B.
3
1
! C.
4
1
! D.
12
!
5.N.4
34.
!
What number sentence would you use to figure out what number goes in the empty box above?
A. n - 38
B. n + 19
C. n – 19
D. n – 21
5.P.4
35. What is the range of the following set of numbers?
58, 49, 62, 53, 49, 44, 70
A.
B.
C.
D.
26
28
58
70
5.D.1
36. Compute 14,520 ÷ 15
SHOW WORK
Answer box
5.N.12
18
WEEK 9
Color Your Ducks in a Row
Directions: Read the clues below and color in each duck according to
the clues.
•
•
•
•
•
If it’s a prime numbered duck, color it orange.
If the duck is a multiple of 17, color it green.
If the duck is a multiple of 6 then color it blue.
If the duck is an odd multiple of 9 color it yellow.
If the duck does not belong to any category then color it black.
5.N.8 Apply the number theory concepts of common factor, common multiple, and divisibility rules
for 2, 3, 5, and 10 to the solution of problems. Demonstrate an understanding of the concepts of prime
and composite numbers.
19