Completed Math 6 - entering Pre-Algebra 7 or

Ramapo Ridge Middle School
Suggested Summer Math Activities
for students who have completed
6th grade math (entering PreAlgebra 7 or PreAlgebra 7/8)
Name:_______________________
You’ve learned SO much this year!! It is important that you keep practicing your mathematical knowledge over
the summer to be ready for 7th grade. In this document, you will find a calendar of activities for the months of
July and August. In conjunction with your work on your summer preparation packet, you should plan to spend
time each week working on your math facts using some of the suggested websites below. Your parent should log
the time that you spent practicing on your July and August calendars.
Once you have completed a week’s worth of activities, have a family member initial the appropriate weekly topic
box on the calendar. It would be helpful to use a summer math notebook to record and show all of your work in
a neat and organized fashion.
Here are some fun and useful websites that you can visit over the summer for more practice 
www.ixl.com
www.khanacademy.org
http://www.multiplication.com/students.htm
http://www.webmath.com
http://mathcats.com/contents.html
http://www.aplusmath.com/
http://www.coolmath.com/
http://www.funbrain.com/tens/index.html
Remember to bring your math notebook and July and August calendars to school in September.
Have a great summer!
Your Seventh Grade Teachers
Column 1
1. Janie’s temperature
WEEK 1
PLACE VALUE
was 101.2  when she
went to the doctor.
a.This number is a little
less than 102
b. a little more than 102
c. a little less than 101
d. a little more than 101
Explain your answer (use
a number line).
Math Fact Log: ________
WEEK 2
FRACTIONS, DECIMALS &
PERCENTS
1. Kim finished only
7 of the questions
20
Column 2
Column 3
2. In 1999 there were 179.63
million tons of garbage generated.
What is this number rounded to
the NEAREST tenth?
3. Write the number 60,000 +
8,000 + 900 + 7 + 6
in
WEEK 3
REAL WORLD
APPLICATIONS
Math Fact Log: ________
WEEK 4
WHOLE NUMBERS &
DECIMALS
Math Fact Log: ________
a. 1 78  1 92
100
4. 8,592.37 rounded to the nearest
hundred is what number?
3. What fraction of the figure is
shaded?
100
b.
1
10 100
standard notation.
7
8
7
8
3

 1 

10 100
10 100 1000
c.
1 7 
1
1
7
8
 8
 1 
10
100
10 100
5. 60% of $120 is _______?
6. Larry’s soccer team only lost 30% of
its 30 games last season. How many
games did they lose?
on her written test
for a driver’s license.
What percent names
the same amount?
Math Fact Log: ________
5. Which comparison is NOT true?
Explain your answer.
2. What is the
decimal equivalent
for 30%?
1. Mr. Finn buys 29
portfolios for his office.
Each portfolio costs
$18.99, including tax. Is
Mr. Finn’s estimate of
$400 a reasonable
estimate of the total cost
of the 29 portfolios?
Show and explain your
thoughts.
4. Convert that fraction to a decimal
and a percent.
1. Chris wrote this
number sentence:
6.2 – 1.05 = 5.25
Is he correct? Show your
thoughts or explain how
you determined whether
or not his answer was
correct.
2. A puppy weighs 6.5 pounds. The
puppy’s mother weighs 10 times as
much as that. What does the puppy’s
mother weigh?
2. The bookstore is having a sale in
which you can get 4 notebooks for
$7.00 and 10 folders for $2.50. How
much will it cost to buy 5 notebooks
and 6 folders?
3. Find the quotient:
$78.04 ÷4.1
3. Alisha is putting cheese cubes and
crackers onto small plates for a
graduation party. She has 24 cubes of
cheese and 40 crackers. She wants
both cheese and crackers on each
plate and each plate must have the
same number of cheese cubes and the
same number of crackers. What is the
greatest number of plates she can
make using all of the cheese and
crackers? Explain your answer.
4. Mrs. Lee bought $32.67 worth of
groceries. If she gave the cashier $40,
how much change did she get back?
Column 4
Column 5
6. In Monica’s school,
semester grade averages
are computed to two
decimal places. Last
semester, Monica’s
grade average was 83.34.
This semester, her grade
average was 0.01 point
higher. What was her
grade average this
semester?
7. What is 4.97 x 106 in
standard form?
7. There are 640 students
at Smith Middle School
and 65% of them study a
world language. How
many of the students DO
NOT study a world
language?
8. Ken plans to run 4 miles
4. The length of a
rectangular room is 12.8
meters and the width is
10.9 meters. Will 145
square meters of
carpeting be enough to
completely cover the
floor? Explain or show
how you determined
your answer.
5. Four 7th graders are
working on a project.
They are going to paint a
large banner and need to
protect the floor. They
measured the floor,
which is 3.05 meters by
3.658 meters. How
many square meters of
plastic do they need to
cover the floor?
this week. If he runs 2 mile
3
each day, how many days
will it take her to run 4
miles? Will she be able to
run 4 miles in week? Explain
your answer.
4
5. Cara ran
of a mile,
5
Steve ran
2
of a mile and
3
Kelly ran 1
1
of a mile.
3
How many miles did they
run all together?
6. Find the product:
3.5 x 9.5
7. Find the sum:
16.7 + 21.37
8. Find the difference:
7.09 – 1.3
WEEK 1
RATIOS &
PROPORTIONS
Math Fact Log:
________
WEEK 2
GEOMETRY
Math Fact Log:
________
WEEK 3
EXPRESSIONS AND
EQUATIONS
Column 1
Column 2
Column 3
Column 4
Column 5
1. The cost of a tent rental is
$160 for 5 days. Write and solve
a proportion to find the cost of
renting the same tent for 8
days.
3. There are 40 members
in the school computer club.
Eighteen of the members are boys.
What is the ratio of girls to boys in
the computer club?
5. A smoothie recipe calls
for 4 bananas for every 3
cups of yogurt added. If 16
bananas are used, how
many cups of yogurt
should be added?
7. There are 5 blue marbles, 6 green
marbles, and 9 orange marbles in a
box. What is the ratio of orange to blue
marbles in the box?
2. What value of x will make this
proportion true?
4. A radio station played 9 songs in
40 minutes. At this rate, how many
songs will the ratio station play in
120 minutes?
8. A bag holds 32 tiles. The
tiles are either red or blue.
If there are 20 red tiles in the
bag, what is the ratio of blue
tiles to red tiles?
Write your answer in simplest
form.
6. A garden is shaped like the right
triangle below. What is the area of the
garden below?
7. What is the circumference
of a circle with a diameter of 9
inches?
3 9

7 x
1.
What is a good estimate
for the measure of this
angle?
2. How would you classify a
triangle that has 1 right angle
and 2 congruent sides?
1.Write the following
expressions in exponential
notation.
a.
3333
b.
55222
3. Three corners of a rectangular
city block are located at (2, 2),
(2, -4), and (- 5, -4) on a coordinate
grid. What are the coordinates of
the fourth corner?
6. Justin can read 12 pages
in 20 minutes, How many
pages can he read in 50
minutes?
5. How much water will fill
this cement mold below?
8. What is the area of the same
circle?
4. What is the area and perimeter
of this rectangular city block?
2. Evaluate:
3. Evaluate:
62
3
3  52 4
4. Simplify:
a.
b.
2 x  3x  x
4(2  x)
5. Solve and check each equation.
a.
b.
c.
d.
Math Fact Log:
________
x  7  20
22  a  5
y
 12
4
8w  56
6. Ava charges $15 per hour
for babysitting. Let h
represent the number of hours
she babysits and E represent
how much she earns. Choose
True or False for each
statement below. Explain.
a. h + 15 = E is the equation
that represents how much Ava
earns after h hours.
b. If Ava babysits for 5 hours,
she earns $20.
c. 15h = E is the equation that
represents how much Ava
earns after h hours.
d. If Ava earns $52.50, then
she babysat for 3.5 hours.
e. 75f represents how much
Ava makes after f number of
WEEK 4
POSITIVE AND
NEGATIVE NUMBERS
Math Fact Log:
________
1.One morning it was – 19
F
in Columbus, OH and – 7  F in
Pittsburgh, PA. Was it warmer
in Columbus or Pittsburgh?
How do you know?
2. Five friends played a game
where you earn positive and
negative points. Their final scores
were – 3.5, 2, – 3, – 1 and 1.5.
What was the highest score? What
was the lowest score? Draw a
number line to support your
answer.
3. Order the values below
from least to greatest.
3
5
 , 1, , 2, 0.9
4
4
4. Find the value for the following:
a. |15 |
b. | 6 |
c. | 4  6 |
d.
| 4 |  | 6 |
days babysitting 5 hours a day.
5. From the list below, write a
number in each box to create
three true mathematical
statements. Each number can
only be used once.
________> _________
________< __________
________= ___________
| 3 |
3
4
7
9
|-9|
0
|2|