Download 7th Grade Summer Math Packet

Name ______________________________
Teacher ____________________________
Math 7
Date _______________________________
7th Grade Summer Math Packet
Due Date: Tuesday, August 16th
Solve the following problems in your packet. Show all of your work and circle
your answers. No work = no credit. This packet will count as a test grade.
You may turn it in early for five bonus points. To turn your summer math
packet early, you need to give it to your teacher when you pick up your
supplies and get your locker. You may also earn the five bonus points by
turning in your packet on the first day of school. Do not have it placed in
your teacher’s box. Thanks ahead of time for your hard work.
Grade: ___________ à
105
Rounding
Round to the nearest …
1) one: 45.65
2) ten: 4521
3) hundred: 567,924
4) thousand: 56,789
5) ten thousand: 6,783,012
Number Correct:
More Rounding
Round to the nearest …
6) tenth: 56.732
7) hundredth: 0.115643
8) thousandth: 2109.89065
9) ten-thousandth: 1,098.73456
10) hundred-thousandth: 12.345671
Number Correct:
Prime Factorization
Determine the prime factorization of each number.
11) 20
12) 24
Number Correct on page: __________
Determine the prime factorization of each number.
13) 45
14) 98
15) 135
Number Correct:
GCF
Find the greatest common factor.
16) 24 and 18
17) 42 and 14
18) 36 and 20
19) 36 and 96
20) 9, 24, and 27
Number Correct:
Number Correct on page: __________
LCM
Find the least common multiple.
21) 6 and 10
22) 9 and 12
23) 48 and 12
24) 6, 8, and 4
25) 8, 16, and 12
Number Correct:
26) 88 + 88
Adding Whole Numbers
27) 70 + 208
28) 8118 + 882
29) 2465 + 45 + 715
30) 838 + 46 + 7165
Number Correct:
Number Correct on page: __________
31) 57 – 32
Subtracting Whole Numbers
32) 1700 – 28
33) 842 – 39
34) 8800 – 88 – 432
35) 5000 – 432 – 765
Number Correct:
36) 40 ∙ 13
Multiplying Whole Numbers
37) 4 ∙ 234
38) 567 ∙ 1,234
39) 4000 ∙ 12 ∙ 51
40) 801 ∙ 24 ∙ 6
Number Correct:
Number Correct on page: __________
41)
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43)
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45)
!",!"#
!"
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!
46) 20.95 + 13.87
Dividing Whole Numbers
!!""
42)
!!
44)
!",!!"
!"!
Number Correct:
Adding Decimals
47) 12.38 + 1.4
48) 2.5 + 3.003 + 8
49) 0.56 + 8.9 + 501
50) 5.2 + 6.53 + 5 + 700
Number Correct:
Number Correct on page: __________
51) 17.2 – 8.5
Subtracting Decimals
52) 22 – 21.66
53) 37.1 – 23.688 – 3
54) 4.514 – 1.4 – 0.3456
55) (10 – 0.03) – (2 – 1.432)
Number Correct:
56) 3.1(0.07)
Multiplying Decimals
57) 0.4 ∙ 1.3 ∙ 100
58) 2.6(1.25)
59) 3.14 ∙ 6.782 ∙ 7.0001 ∙ 0 ∙ 8.76
60) 0.0001 ∙ 5.15 ∙ 1000
Number Correct:
Number Correct on page: __________
Dividing Decimals
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62) !.!"
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61) !.!
63)
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64)
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Number Correct:
65) !.!"
Adding Fractions/Mixed Numbers
Answer in simplest form (lowest terms).
!
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!
!
67) + +
66) +
!
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!!
!
!
!
!
!
!
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68) !" + ! + !
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!
69) 5! + 3!" + 4!
!
70) ! + 5! + 17!"
Number Correct:
Number Correct on page: __________
Subtracting Fractions/Mixed Numbers
Answer in simplest form (lowest terms).
! !
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72) 71) !
!
!
73) 16 - 6
!
!
!
!
75) 3! - 2!
!
!
!
!
!
74) 7 - 2
Number Correct:
Multiplying Fractions/Mixed Numbers
Answer in simplest form (lowest terms).
!
!" !
76) !(6)
77) ! (!)
!
! !
78) !(42)
!
79) 8!(!)
!
80) (6!)(1!)
Number Correct:
Number Correct on page: ___________
Dividing Fractions/Mixed Numbers
Answer in simplest form (lowest terms).
!
!
!
!
81) ! ÷ !"
82) ! ÷ !
83)
85)
!
!
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!
!
!
!
!
!
86) -4 + -2
84)
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!
!
Number Correct:
Adding Integers
87) 24 + -19
88) -50 + 35
89) -12 + 12 + -4
90) -78 + -56 + 679
Number Correct:
91) 6 - 25
Subtracting Integers
92) 30 – -70
Number Correct on page: __________
93) -18 – 12
94) 39 – (-53) – (-42)
95) 19 – 4 – 31
Number Correct:
96) (-3)(-8)
Multiplying Integers
97) -2(34)
98) -5 ∙ 0 ∙ -12
99) -2 ∙ -4 ∙ -7 ∙ -3
100) (2)(-5)(2)(-2)
Number Correct:
!"
101) !!
103)
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105)
!!"#$
!
!!"#
Dividing Integers
!!"#
102) !!"
104)
!!"
!
Number Correct:
Number Correct on page: __________