PALMER MIDDLE SCHOOL
7th GRADE SUMMER MATH PACKET
Dear Seventh Grade Students,
Welcome to 7th Grade Mathematics! This summer review packet will
provide you with the fundamental skills of mathematics to help
support your 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.
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:
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 August!!
Have a safe summer!
PALMER MIDDLE SCHOOL
7TH GRADE SUMMER MATH PACKET
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)
3.
(decimal)
Eight states in the United States start with the letter M. What fraction of states,
in simplest form, begins with the letter M?
Answer:
4.
Tom makes 74% of his free throws. Write the percent as a decimal.
Answer:
5.
Express 0.44 as a fraction.
Answer:
6.
Insert a <, >, or = to make a true sentence.
-25 ______1
Answer:
7.
Decide whether the pair of ratios form a proportion.
12
Answer:
3.6
8.
Solve the proportion
x = 4
3 24
Answer:
9.
Which is a better buy, 14 oz. for 984 or 8 oz. for 64?
Answer:
10.
Write three equivalent fractions ½?
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
of a pizza. How much of the pizza does each
student get?
Answer:
14.
What is the area of a rectangular parcel of land that is — mile by I —miles?
Answer:
Answer:
Page 2
15.
There was 3/4 of a pan of lasagna in the refrigerator. Bill and his 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?
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 3
23.
Give the number for the location of points A, B, and C on the number line.
-3
-1
2
Answer: A
24.
2½- 7/8
Answer:
25. 4 3/6 x 1/9
Answer:
26.
5  3/10
Answer:
27.
5/6  12
Answer:
28.
What IS 2/3 of120?
Answer:
Answer:
Page 4
EXPRESSIONS AND EQUATIONS
29.
Simplify 33 + 9+ 15 x 4
Answer:
30.
Evaluate for x = 7 4x+17
Answer:
31.
Solve x—10 = 23
Answer:
32.
Simplify 48 — 2 x 42 + 8 13
33.
Write an algebraic expression for "a number p increased by 7"
Answer:
34.
Write an expression equal to
Answer:
35.
Use the distributive property to write an equivalent expression for 4(x —2).
Answer:
36.
Solve x +4 = -21 for x.
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.
Page 5
Answer:
38.
Find the width of a rectangle with a length of 18 cm and an area of 72 cm2 .
Answer:
39.
Laura has pledges of $5 for each mile she walks in the Juvenile Diabetes
Walkathon fundraiser.
Use the table below to record the miles walked and the money earned for
miles 0 through 6.
Graph the data on the grid. Remember to select a scale and label the graph.
Miles Money
GEOMETRY
40.
This net can be folded on the dashed lines to make a box. (Watch the
following
video
to
help
in
solving
the
problem.
http://»ww.youtube.com/watch?v=cg198H073sM)
a.
What is the surface area of the box?
Answer (a) :
b.
Answer (b) :
What is the volume of the box?
Answer:
Page 6
6 in
15 in
41.
a)
Name the figure below.
b)
Find the volume of the figure.
8cm
10cm
42.
Find the area of the figure.
10 cm
g cm
43.
The squares on this grid are 1 centimeter long and 1 centimeter wide.
Outline two different figures with an area of 12 square centimeters and a
perimeter of 16 centimeters.
Page 7
44.
Plot and label the following points on the grid below. (-5, 6) (-5, -3) and
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)
Answer:
Page 8
45.
Find the area of each triangle below.
Page 9
STATISTICS AND PROBABILITY
46.
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
Lengths of Last Names
XXx
x
3
4
X
X
X
X
X
x
x
X
X
x
x
x
x
x
x
5
Number of letters
47.
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?
Shea
Mark
Amy
Nate
Student
Jill
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
48.
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:
49.
Thirteen bowlers were asked what their score was on their last game. The
scores are shown below.
190, 154, 150, 194, 182, 170, 190, 151, 190, 170, 178, 161, 180
Find the range of the bowlers' scores.
Answer:
50.
Find the mean, median and mode of the data.
5, 9, 6, 6, 11, 8, 4
mean:
median:
mode:
Page 11