Download Incoming 7th - St. Elizabeth School

“Course 1” Summer Packet
For students entering 7th grade in the fall
The summer packet is comprised of important topics upcoming seventh graders should know
upon entering math in the fall. Please use your notes from the 6th grade year, and the
textbook site (phschool.com) as needed to refresh your memory. Please work on the packet in
small chunks throughout the summer, NOT IN ONE SITTING. Working in this way will best help
you reinforce and retain the information that you learned this year.
The packet will be graded for completion and counted as a quiz grade. In order to receive full
credit, all problems must be done and all work must be shown in the space provided on the
packet sheets. After a review of the packet, there will be a test on these topics during the first
week of school in the fall.
Have a safe and wonderful summer!
Parent Signature ___________________________________
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Course 1 Summer Packet
(students entering 7th grade)
Name: __________________________________
To get full credit, you must show your work. Please box your answers.
1.) Complete the statement: 175 g =
kg.
2.) A model boat is 6 inches long. If the scale is 2 in. : 5 ft, how long is the actual boat?
Find the sum.
3.)
4.)
5.)
6.)
Find the quotient. Simplify fraction answers.
7.)
8.)
9.)
10.)
12.)
11.)
13.)
14.)
15.)
16.)
Find the product. Simplify fraction answers.
17.)
18.)
19.)
20.)
21.)
22.)
23.)
24.)
25.)
26.)
27.)
28.) 11(–8)
29.) –11(0)
30.) –6(–12)
Evaluate the expression. Remember to use the correct order of operations.
31.)
32.)
33.)
34.)
Evaluate the expression when x = 8.
35.)
36.)
Solve the equation using mental math.
37.)
38.)
Estimate the length of the object using the indicated unit.
39.) length of the sunflower seed (millimeters)
40.) length of the line segment (inches)
41.) Find the perimeter and area of a rectangle with a length of 12 inches and a width of 18
inches.
42.) A picture of a bicycle in a catalog is 4 inches tall. The scale is 2 inches : 18 inches. How
tall is the actual bike?
43.) Find the mean, median, mode(s) and range of the data: 22, 26, 24, 22, 16, 12, 18, 22, 18, 20
Mean ____
Median _____
Mode ______
Range _____
44.) Write 31.0152 in words.
45.) Order the numbers from least to greatest:
5.09, 5.2, 5.12, 5.07, 5.1
Round the decimal as specified.
46.) 92.0327 (nearest hundredth)
47.) Use rounding to estimate the sum 3.8 + 4.2 + 3.7.
48.) Use front-end estimation to estimate the sum 5.69 + 2.12 + 3.07.
Evaluate the expression when x = 3.12.
49.)
Evaluate the expression when x = 3.12 and y = 5.06.
50.)
51.) Find the area of a rectangle with length 6.2 meters and width 3.12 meters.
52.) Ground meat costs $2.89 a pound. You buy 1.2 pounds in one package and 1.8 pounds in
another. To the nearest cent, how much do you spend on meat?
Divide. Round to the nearest tenth if necessary.
53.)
54.)
55.)
56.)
Graph the point on the coordinate grid. Label A, and B.
57.) A = (5, 3)
58.) B = (2, 4)
Complete the statement.
59.)
60.)
61.)
62.)
63.)
64.)
65.)
66.)
Tell whether each number is prime, composite, or neither.
67.) 34
68.) 17
69.) 1
Write the prime factorization of the number. Use a factor tree to help you. Write the
result in exponent form if applicable.
70.) 50
71.) 56
72.) 207
Find the GCF of the numbers. A factor tree may help you. (Greatest Common Factor)
73.) 28, 42
74.) 70, 105
75.) 30, 42, 54
Find the LCM of the numbers. A factor tree may help you. (Least Common Multiple)
76.) 24, 60
77.) 14, 21
78.) 6, 8, 12
79.) Three different brands of fettuccini noodles were measured. The thicknesses of noodles
from the brands were
Put the fractions in order from least to greatest.
80.) Write
as a mixed number AND as a decimal.
81.) Write 5.4 as a mixed number in simplest form AND as an improper fraction.
82.) Write “three and two eighths” as a decimal AND as an improper fraction.
Estimate the sum. (Use benchmarks or 1, 1/2, or 0 for fractional parts.)
83.)
Estimate the difference. (Use benchmarks or 1, 1/2, or 0 for fractional parts.)
84.)
85.)
Find the sum. (Simplify answers.)
86.)
87.)
88.)
Find the difference. (Simplify answers.)
89.)
92.) You cut
90.)
91.)
acres of grass on Saturday and
acres on Sunday. How much grass did you
cut?
Add or subtract the measures of time. (Be careful when borrowing units.)
93.)
94.)
95.) A preschool child attends school from 9:15 A.M. to 1:35 P.M. How long is she in school?
96.) Estimate the product
97.) Evaluate the expression
98.) A computer programmer types 75 words in 5 minutes. Write the unit rate. (Words per
minute.)
Solve the proportion.
99.)
100.)
101.)
Write the decimal as a percent.
102.) 0.36
103.) 0.02
Write the fraction as a percent.
104.)
105.)
108.) A survey at a middle school said that
106.)
107.)
of the students had a computer at home. What
percent of students did not have a computer at home?
Find the percent of the number.
109.) 75% of 12
110.) 20% of 60
111.) 16% of 15
112.) Find the measure of an angle that is complementary to an angle measuring
113.) Tell whether the angle measures
triangle as acute, right, or obtuse.
,
, and
are those of a triangle. If so, classify the
Find the value of x.
114.)
.
115.)
116.) What type of triangle has 3 lines of symmetry?
Classify (name) the solid.
117.)
118.)
Count the faces, edges, and vertices of the solid.
119.)
Faces ______ Edges _______ Vertices ______
Sketch the figure described. Label all needed points.
120.)
121.)
122.)
123.) Order the integers –1, –7, 0, 3, –2 from least to greatest.
Find the absolute value of the number.
124.) –10
125.) 13
126.) –25
Find the difference. Change each statement to the correct addition statement first.
127.)
128.)
129.)
Tell whether the transformation is a translation, a reflection in the x-axis, a reflection in the
y-axis, or a rotation.
130.)
131.)
Write the sentence as an equation. Order of the terms is important!
132.) A number m decreased by 7 is 9.
133.) A number j divided by 6 is 5.
Solve the equation. (Show all inverse steps as complete equations correctly.)
134.)
135.)
136.)
137.)
138.)
140.)
141.)
139.)
A bag contains 8 tiles labeled 1, 3, 4, 5, 9, 10, 12, and 13. You randomly choose one tile.
Find the probability of the event.
142.) The tile has an even number.
143.) The number is a multiple of 5.
Each spinner is divided into equal parts. You spin the spinners. Find the probability of the
event.
144.) You spin two 3's.
145.) You spin a sum of 6.
Fraction
Decimal
3
20
Percent
0.45
12%
2.25
0.05%
5
8
1
4
5
0.02
6.5%
Fraction
Decimal
4
25
Percent
0.37
8%
3.75
0.06%
1
8
2
1
5
0.09
8.2%