RIDGEDALE MIDDLE SCHOOL
7th GRADE SUMMER MATH PACKET
Dear Seventh Grade Students,
Welcome to 7th Grade Mathematics! This summer review packet (located
on the school Website) is a review of fundamental skills as you transition
to 7th grade mathematics.
Please read it carefully and make sure you answer all the questions
showing your work in a neat, organized fashion.
NOTE - iXL is also still available to the students, to continue to
practice 6th and 7th grade skills.
The work contained in the math packet highlights concepts and other
skills that you should be well versed in before entering 7th Grade in
September.
Below are just a few websites that you might find helpful:
http://www.khanacademy.org/
http://www.ixl.com/math/
mathtv.com
**All students will be required to submit their Summer Math Packet the
first day of math class.
**The Summer Math Packet will be scored and graded.
We will see you in September! :-)
Have a safe summer!
Miss De Fonte, Mrs. Eveland, Mr. McParland, and Miss Mlynarski
Page 1
Grade 7
COMMON CORE STATE STANDARDS (CCSS):
Ratios and Proportional Relationships 7.RP
o Analyze proportional relationships and use them to solve
real-world & math problems.
The Number System 7.NS
o Apply and extend previous understandings of operations
with fractions to add, subtract, multiply, and divide
rational numbers.
Expressions & Equations 7.EE
o Use properties of operations to generate equivalent
expressions.
o Solve real-life and mathematical problems using
numerical and algebraic expressions and equations.
Geometry 7.G
o Draw, construct, and describe geometrical figures and
describe the relationships between them.
o Solve real-life and mathematical problems involving
angle measure, area, surface area, and volume.
Statistics and Probability 7.SP
o Use random sampling to draw inferences about a
population.
o Draw informal comparative inferences about two
populations.
o Investigate chance processes and develop, use, and
evaluate probability models.
Page 2
RIDGEDALE MIDDLE SCHOOL
7TH GRADE SUMMER MATH PACKET
***To be submitted the first day of school!***
Name:_____________________________
RATIOS AND PROPORTIONAL REASONING
1.
Three out of every 10 students in Mr. Chan’s class bring their
lunch to school. Write this ratio as a percent.
Answer: ___________________________
2.
In Italy, about 74 of every 100 people use cellular telephones.
Write the fraction of cellular phone users in Italy. Then write the
fraction as a decimal.
Answer: (fraction) ____________ (decimal) ___________
3.
Eight states in the United States start with the letter M. What
fraction of states begins with the letter M? Write your answer in
simplest form.
Answer: ___________________________
4.
Tom makes 74% of his free throws. Write 74% as a decimal.
Answer: ___________________________
5.
Express 0.44 as a fraction.
Answer: ___________________________
6.
Insert a <, >, or = to make a true sentence.
4
2
______
5
3
€
€
Page 3
7.
8.
Solve.
8x + 2x = 100
Solve the proportion.
x = ________
y 3
=
10 5
Answer: ___________________________
9.
€
Which is a better buy, 14 oz. for 98¢ or 8 oz. for 64¢?
Answer: ___________________________
10.
Write three fractions equivalent to
2
.
3
Answer: ___________________________
€
11.
Write 9% as a fraction.
Answer: ___________________________
12. A fruit bowl contains 3 apples, 2 bananas, and 5 pears. What is
the ratio of pears to apples?
Answer: ___________________________
THE NUMBER SYSTEM
13.
4 students equally share
does each student get?
3
of a pizza. How much of the pizza
4
Answer: ___________________________
€
14.
What is the area of a rectangular parcel of land that is
1
1 miles?
2
Answer: ___________________________
7
mile by
8
€
€
Page 4
2
of a pan of lasagna in the refrigerator. Bill and his
3
friends ate half of what was left. Write a number sentence and draw a
model to represent the problem. How much of the pan did they eat?
15.
There was
€
Answer: ___________________________
16. Ms. Pike is bagging snacks for a class trip. She has 72 pretzel
rods and 48 pieces of string cheese. What is the largest number of
snack bags she can make so that the bags are the same and there is
nothing left over? (hint: GCF)
Answer: ___________________________
17. The beacon on the cell phone tower blinks every 5 seconds and the
beacon on the water tower blinks every 8 seconds. The lights blink
together. How many seconds will pass before the two lights blink
together again? (hint: LCM)
Answer: ___________________________
FIND THE SUM, DIFFERENCE, PRODUCT OR QUOTIENT. SHOW ALL
WORK!
18.
37.65 – 4.238
Answer: ___________________________
19.
297.57 ÷ 6.5
Answer: ___________________________
€ 20.
74,404 ÷ 356
Answer: ___________________________
€ 21.
417 + 37.95
Answer: ___________________________
22.
12.08 x 35.2
Answer: ___________________________
Page 5
23. Give the number for the location of points A, B, and C on the
number line.
Answer: A _______ B ________ C________
24.
1 7
2 − =
2 8
Answer: ___________________________
€
25.
3 1
4 ×
6 9
Answer: ___________________________
€
26.
5÷
3
=
10
Answer: ___________________________
€
27.
5
÷ 12 =
6
Answer: ___________________________
€
28.
What is
2
of 120?
3
Answer: ___________________________
€
EXPRESSIONS AND EQUATIONS
29.
Simplify 33 ÷ 9 +15 x 4
Answer: ___________________________
Page 6
Evaluate for x = 7
30.
4x + 17
Answer: ___________________________
Solve x – 10 = 23
31.
Answer: ___________________________
32.
Simplify 48 − 2 × 4 2 ÷ 8 + 13
Answer: ___________________________
€
Write an algebraic expression for “a number p increased by 7”
33.
Answer: ___________________________
34.
Write an expression equal to
x + x + x + x
Answer: ___________________________
35. Use the distributive property to write an equivalent expression for
4(x – 2).
Answer: ___________________________
Solve x + 4 = −21 for x.
36.
Answer: ___________________________
€
37. Princess Maria’s carriage travels at 4 miles per hour. Write an
equation to find out how many hours a 48 mile trip will take at that
rate. Solve the equation.
Answer: ___________________________
Page 7
38. Find the width of a rectangle with a length of 18 cm and an area
of 72 cm2.
Answer: ___________________________
GEOMETRY
39. This net can be folded on the dashed lines to make a box.
(Watch the following video to help in solving the problem.
http://www.youtube.com/watch?v=cgl98HQ73sM)
40.
a.
What is the surface area of the box? Answer (a) :_______
b.
What is the volume of the box?
a)
Name the figure below. ____________________
b)
Find the volume of the figure. ________________
Answer (b) :_______
Page 8
41.
Find the area of the figure.
Answer: ___________________________
42. Plot and label the following points on the grid below.
(-5, 6) (-5, -3) and
(2, 6).
• Add a fourth point to create a rectangle. Identify the
coordinates of the new point.
Answer : ___________
• Find the area and perimeter of the rectangle.
Answer: (area)_________ Answer: (perimeter) __________
Page 9
STATISTICS AND PROBABILITY
43. For the distribution pictured below, tell how many people are
represented by the data, and identify the mode, median, and range.
Number of people represented _______ mode _______ median ______
range ______
44. Five students competed in a free throw contest. The number of
free-throws out of 10 each student made is charted below. Based on
the chart below, which of the following statements is false?
a.
Amy made more free throws than Shea or Jill.
b.
Mark made more free throws than Jill.
c.
Nate made the most free throws.
d.
Shea made less free throws than Nate and Amy.
Answer: ___________________________
Page 10
45. Mike was in charge of collecting contributions for the Food Bank.
He received contributions of $13, $34, $26, $31, and $28 from five
co-workers. Find the median value of these contributions.
Answer: ___________________________
46.
Find the mean, median and mode and range of the data.
5, 9, 6, 6, 11, 8, 4
mean: _______________
median: ______________
mode: _______________
range: ______________
Choose 1 of the 2 problems on the next 2 pages to complete.
Page 11
Directions : Choose 1 of the 2 problems listed on the following 2
pages.
1.
Bull’s Eye
The archery target shown below is made of four circles, with
radii of 1 foot, 2 feet, 3 feet, and 4 feet, and with points as
marked. If you shoot an arrow at random at the target, and it
does not miss the target altogether, what is the chance that you
will earn a score of 10? What is the chance of earning a 7? a 5? a
3? (Area formula is 3.14r2)
7
5
3
10
Write an explanation that a younger student could understand,
describing how you arrived at your answers.
Page 12
Rumor Race
Since Juanita and Ken were both born on December
21st, the date of the winter solstice, they decided that
it would be great not to have school on that day.
Therefore, they decided to start a rumor that school
will be closed to celebrate the winter solstice on
December 21st.
So, on December 1st, Juanita told two of her friends
that school would be closed and continued doing this.
While Ken decided he did would tell 3 people every
other day. If there are 8,000 students in each school
district, did Sidney and Ben start the rumor early
enough for everyone to have heard it in their school?
Who’s plan allowed for their entire school to be told
first?
Task
§
Make a prediction. Were the rumors started in time?
Who’s entire school will know first?
§
§
§
Make a table or calendar to illustrate your
calculations.
What was your conclusion? Did Sidney and Ben start
the rumor in time?
Who’s plan allowed for their entire school to be told
first?
Page 13