Download Rising 7th OCR Summer Packet Math 2016

Lawrence Township Public Schools
2016 Summer Math Packet
For students ENTERING OCR 7th Grade Math
**Please bring your completed math packet (including all work)
with you on the first day of school. **
OCR Math 7 Summer Math Packet Directions
You should complete the Math Packet for the class/course you will enter in September.
Please give your best effort to complete this Summer Math Packet. You should complete
the Math Packet for the class you will enter in September. This packet is due the first week
of school.
Scoring/Grading:
Each Summer Math Packet is worth a total of 30 points:
 You will be graded on the completeness of your packet.
 Each page of the packet has a value of 2 points if totally complete.
 Any partially completed pages will earn part credit (1pt).
 Incomplete pages (pages that are not done) earn no credit.
 All teachers will enter a 30pt grade into PowerSchool to record earned grades on
the Summer Packet that will become part of your 1st marking period grade.
 We will collect data to determine which prerequisite skills and concepts students
have mastered or need more exposure to guide instruction for September.
Directions:





Complete each problem on all pages of the packet.
It is best that you print the packet, but you can work from your computer as well.
Complete all work neatly and organized on the packet page or on lined paper.
It is best that you work without a calculator to strengthen your math fact fluency.
Turn in your labeled and organized work paper or packet.
Resources:
For support you can reference any of the sites listed below and search the skill/concept.
 Go Math texts can be accessed at my.hrw.com, using Chrome (not Internet
Explorer), using the user names and passwords given during the school year.
Students can watch the online videos in the text for added explanations.
 KhanAcademy.com
 You Tube.com or Teacher Tube.com
 MathIsPower4u.com
 IXL.com – if you have a user name and password used this past school year.
Name ______________________
OCR Summer Packet Math 7
Place Value with Whole Numbers and Decimals
Write the place value of the underlined digit.
1.
7.567
________________________
2.
13.458
______________________
3.
6,054
_________________________
4.
8,456
_______________________
Multiple Choice: Circle the correct answer.
7.
What is the value of the underlined digit in the number 6.287?
a.
b.
c.
8.
8 thousandths
8 tenths
8 hundredths
Which number is in the ten-thousands place in the number 7,230,625?
a.
b.
c.
6
2
3
Rounding Whole Numbers and Decimals
Round to the nearest thousandth
Round to the nearest cent
9.
10.
98.5672
________________________
$725.486
______________________
Round to the nearest tenth
Round to the nearest cent
11.
12.
43.054
_________________________
$456.688
_______________________
Name _________________________
OCR Summer Packet Math 7
Multiple Choice: Circle the correct answer.
13.
Round 7.087 to the nearest underlined digit.
a.
b.
c.
14.
7.09
7.08
7.1
Round 3,211 to the nearest thousand.
a. 3,000
b. 3,210
c. 3,200
Operations with Whole Numbers
Add, subtract, multiply or divide. Show your work on all Problems.
15.
239 + 478
16.
3, 456 – 1,987
17.
3, 006 – 2,547
18.
1,847 + 937
19.
142 x 8
20.
716 x 15
21.
1,205 ÷ 5
22.
576 ÷ 2
Name _________________________
OCR Summer Packet Math 7
Operations with Decimals – Show all work for problems.
23.
16.53 + 26.008
24.
28.43 + 0.002
25.
4.597 – 0.399
26.
7.06 – 5.49
27.
28.9 x 0.3
28.
0.095 x 0.04
29.
3.941 ÷ 0.7
30.
0.374 ÷ 1.1
Name _________________________
OCR Summer Packet Math 7
Fractions
Compare using = , <, or >.
31.
7
9
5
7
32.
8
13
Write each improper fraction as a mixed number.
33.
21
4
34.
161
8
Write each mixed number as an improper fraction.
35.
7
2
5
4
36.
3
38.
4
1
+
7
3
40.
5 1

6 12
42.
11 2

14 33
44.
3 12

10 25
7
Adding Fractions – Show all work
37.
7
5
+
9
9
Subtracting Fractions – Show all work.
39.
3 1

4 4
Multiplying Fractions – Show all work.
41.
7 5

20 14
Dividing Fractions – Show all work.
43.
8 14

9 15
3
4
Name _________________________
OCR Summer Packet Math 7
Divisibility Rules
Divisibility Rules
2 if the ones digit is divisible by 2
54
Four is divisible by 2.
3 if the sum of the digits is divisible by 3
72
7 + 2 = 9, and 9 is divisible by 3.
4 if the last two digits are divisible by 4.
520
5 if the ones digit is 0 or 5
65
20 is divisible by 4.
Therefore, 520 is divisible by 4.
The ones digit is 5.
6 if the number is divisible by 2 and 3
48
9 if the sum of the digits is divisible by 9
954
8 is divisible by 2. 4 + 8 = 12 and 12 is
divisible by 3. So, 48 is divisible by 6.
9 + 5 + 4 = 18, and 18 is divisible by 9.
10 if the ones digit is 0
120
The ones digit is 0.
State if the following numbers are divisible by 2, 3, 4, 5, 6, 9, or 10.
45.
245
_____________________________
46.
560
_____________________________
47.
366
_____________________________
48.
423,450
_____________________________
Name ____________________
OCR Summer Packet Math 7
Order of Operations – Show all work.
49)
24 ÷ 2 ∙ 3
50)
4(2  3)
13  10  2
51)
(25 – 10) ÷ (3 + 2)
52)
2(3 + 6)
Write the integer represented by each phrase.
53.
a gain of 10 yards
________________
54.
a loss of 15 pounds
________________
55.
the opposite of 5
________________
56.
the absolute value of -8
________________
Name ____________________
OCR Summer Packet Math 7
Translate the words into an expression.
57.
The quotient of 7 and a number x
________________________________
58.
Twice the number x increased by 2
________________________________
Fractions to Decimals and Percents.
Write a decimal for each fraction.
59.
3
5
60.
2
1
4
62.
3
3
4
Write a percent for each fraction.
61.
7
20
Write each decimal as a fraction in simplest form.
63.
0.5
64.
1.5
66.
2.05
Write each decimal as a percent.
65.
0.45
Name ____________________
OCR Summer Packet Math 7
Ratios and Rates
Write each ratio as a fraction in simplest form.
67.
10 pines out of 60 trees
_______________________
68.
15 cassettes to 45 CDs
_______________________
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
69.
45 yards for 9 costumes
_______________________
70.
90 pages in 30 minutes
_______________________
There are 30 animals in the field. Twelve are cows, 8 are horses, and the rest are ducks.
Write the following ratios as fractions in simplest form.
71.
horses to ducks
_______________________
72.
total animals to cows
_______________________
Graphing on a Coordinate Plane
Graph and label each ordered pair on the coordinate plane.
73.
A (3, 0)
74.
B (-2, 5)
75.
C (2, -3)
76.
D (0, -5)
Find the perimeter and area of each figure. Show all work.
77.
Area = ______________
Rectangle
Perimeter = ___________
12 cm
78.
Area = ______________
Triangle
6m
10 m
Perimeter = ___________
8m
6 cm