POMPTON LAKES PUBLIC SCHOOLS
Michael Yuhas
44 Lakeside Avenue
Math Departmental Chairperson
Pompton Lakes, NJ 07442
[email protected]
973-835-7100
June 2015
Dear Parent/Guardians:
In order for students to be ready for their mathematics program this fall, the Mathematics Department requires
that the incoming 7th students complete the appropriate Summer Mathematics Review Assignment. These
review activities were previously taught. Therefore students are not expected to learn new material on their
own.
We need your help to oversee the completion of the summer mathematics review questions. Attached is a copy
of the Summer Mathematics Review Assignment. The completed activities packet needs to be returned on
Tuesday, September 8, 2015. Students will be assessed on mastery of the material by Friday, September
11, 2015.
For those students who have IEPs, please contact your case manager for instructions.
With your help, this summer mathematics review program will be successful in helping your children be ready
for the new school year.
Sincerely,
Michael Yuhas
Math Departmental Chairperson
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Incoming 7th Grade Lakeside Summer Math Review
Please remember to show your work where appropriate.
Part 1: Number Sense Decimals and Fractions
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1)
In a recent consumer poll, 676,584 consumers chose Coke and 750,241 chose Pepsi. How many more
consumers chose Pepsi?
2)
In 2009 there was 179.62 million pounds of aluminum recycled. What is this number rounded to the
NEAREST tenth?
3)
Roger’s temperature was 101.2 when he went to the doctor. This is
a. a little less than 102
b. a little more than 102
c. a little less than 101
d. a little more than 101
4)
In which number does 6 have the least value?
a. 9632
b. 6932
c. 3926
d. 2362
5)
Which letter represents 2 ¾ on the number line? _______
0
6)
1
A
2
Which of the following represents
a)
○○○○
●○●○
b)
B 3
C 4
1
?
4
●○○●
○○●●
c)
○○○●
○○●●
2
7)
Shade two-thirds of the rectangle.
8)
What is another way of writing 8/3?
a.
2 and 3/10
b. 2 ¼
c.
2 and 3/6
d. 2 and 2/3
9)
Write 2¾ as an improper fraction?
10) Cassidy baked 10 crackers of different shapes. What decimal number represents the number of heart
shaped crackers?
a.
b.
c.
d.
3
3.3
0.3
0.7
11) In the Pompton Lakes Little League, Stephano was the Little League Batting Champion. His batting
average was between 0.315 and 0.360. Which of these numbers could have been his batting average?
a. 0.305
b. 0.314
c. 0.341
d. 0.365
12) The chart shows grade averages in social studies for four students.
Name
Zane
Paula
Eddie
Cornelius
Average
83.24
83.14
83.42
83.16
Who has the highest grade average?
a. Zane
b. Paula
c. Eddie
d. Cornelius
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13) Rachel ran 5 times this week. She ran 1/6 mile, 9/10 mile, ¾ mile, and 2/5 mile. What is the longest
distance ran?
a. 1/6 mile
b. 2/5 mile
c. ¾ mile
d. 9/10 mile
14) Today Miss Shorter put 19.39 gallons of gas in the car. What is this amount rounded to the NEAREST
GALLON?
15) Barbara buys 8.355 pounds of cookies. Round this weight to the nearest hundredth.
16) Juanita scores an average of 16 points per game. Which number sentence should be used to determine
ABOUT how many points she scores in 7 games?
a) 16 + 7 =
b) 16 - 7 =
c) 16 x 7 =
d) 16  7 =
17) Francis drove 545 miles on Wednesday and 489 miles on Thursday. Which number sentence should
Francis use to find how many MORE miles he drove on Wednesday?
a.) 545  2 =
b.) (545 + 489)  2
c.) 545 + 489
d.) 545 - 489
Part 2: Computation with Whole Numbers, Decimals and Fractions
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1)
Samantha needs to read 185 pages in her text book. She has already read 95 pages. How many pages
does Samantha have left to read?
2)
A case of water that has 24 bottles costs $3.59. A team mother bought 7 cases. How many bottles of
water did she buy?
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3)
Solve 0.96  8
10)
3 2
∙ =
5 9
4
4)
5)
6)
Solve 225.3 x 3
3
11) 2 7 ∙ 1 4 =
5
2
÷3=
⅝ -⅓=
12)
3
13) 2 3 ÷
7
1
+ =
9
2
4
9
=
6
14) 743  100 =
7) 3 ½ - ¼ =
15) 3.38  10 =
8)
7⅔+5⅔
9)
4 ½ - 2¾
16) 0.975 x 10 =
17) One dozen eggs at the deli costs $4.20. Each egg cost the same amount. What is the cost of one egg?
18) A package of 18 soccer socks costs $77.25. If each sock costs the same amount, how much did each sock
cost?
19) Raphael bought 4 t-shirts at the mall that cost $9.75 each. He gave the clerk a $50 bill to pay for the
t-shirts. How much change should he receive?
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Part 3 – Ratios and Proportions
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1)
A cake recipe calls for 2 cups of flour for every 3 eggs. Using this ratio, which of the following
combinations could be used to make the recipe?
a. 4 cups of flour, 5 eggs
b. 5 cups of flour, 7 eggs
c. 5 cups of flour, 8 eggs
d. 6 cups of flour, 9 eggs
2)
Fiona sewed 6 dresses in 15 days. At this rate, how many days would it take her to sew 32 dresses?
3)
Martin has completed 33 out of 44 projects he was assigned by his boss. What percent of the projects has
he completed?
4)
The sport store is having a 35% off sale. How much would a pair of pants that normally sell for $48.75
cost after the discount? Round your answer to the NEAREST cent.
5)
Tiffany left her home for the mall at 11:15 A.M and returned home at 2:45 P.M. How long was she gone?
6)
A tennis court is 78 feet long. How many inches long is a tennis court?
7)
Yvonne lives 3.92 kilometers away from Lili. Each girl walks half the distance to meet. How far does
each girl walk?
8)
Dorothy needs 8 pieces of string that are 9 inches long for the outfit she is making. How many yards is
this?
a. ½
b. 1
c. 2
d. 3
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Part 4: Symmetry and the Coordinate Plane
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1)
Draw all lines of symmetry in the figure.
2)
What is the location of point B?
a. (3, 5)
b. (4, 5)
c. (5,4)
d. (5,3)
Part 5: Geometry
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1)
Michael’s yard is 130 feet long and 63 feet wide. What is the perimeter of his yard?
2)
Zoe is carpeting her bedroom. The length of the room is 12 feet and the width is 9 feet. How many
square feet of carpeting will she need?
3) Find the area of the triangle.
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4) Find the area of the trapezoid.
5) Find the area of the shaded region
Part 6: Algebra and Reasoning
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1)
Use the data from the table below to answer the following questions.
World Rivers
Rivers
Length in Miles
Uruguay
1,000
Bramaputra
1,800
Euphrates
2,235
Gambia
700
Salween
1,500
a. For a social studies project Rita made a table that shows the length of several rivers in the world. She
states Gambia River is about four times the length of the Euphrates River. Is Rita correct? Explain.
b.
2)
3)
According to Rita’s chart which river is about twice the length of the Gambia River? Explain.
Simplify the expression: 5x + 7 -2x + 3
Simplify the expression: 2(x+5) + 5x
8
4) What is the value of x in this equation?
38 + x = 99
5)
What is the value of x in this equation?
x -7 = 13
6)
Identify the solution of 84 ÷ x = 12.
7)
Identify the solution of 6x = 24
8)
Solve and graph the inequality.
2x > 10
9) Solve and graph the inequality.
𝑥 + 5 ≥ 12
10) Lakeside School sold magazine subscriptions to raise money. Jana sold more than Gineen and Paulo.
Jonathan sold more than Jana. Who sold the MOST subscriptions?
a. Jana
b. Gineen
c. Paulo
d. Jonathan
11) Four friends were running a race. Sam finished before Adam, but after Teri, Mary finished after Sam, but
before Adam. Who won the race?
a. Sam
b. Adam
c. Teri
d. Mary
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12)
Four adults went out to eat. One ate ham, one ate turkey, one ate beef, and the fourth ate chicken.
Dawn ate turkey, Scott never eats ham, Faith ate beef. What did Jack eat?
a. Ham
b. Turkey
c. Beef
d. Chicken
13) Amanda started with a full tank of gas and drove 309 miles before she stopped for gas. She filled the tank
with 10.5 gallons of gas that cost $1.36 per gallon. How much did she pay for gas?
a. $13.50
b. $14.28
c. $32.45
d. $42.02
14) A road crew can lay 2 ½ miles of new road surface each day. What other information is needed to find the
number of days it will take to finish the highway?
a. The number of people in the crew
b. What the weather is like
c. The number of hours per day they worked
d. The number of miles of highway that remain to be completed
15)
Hannah’s class is leaving on a field trip at 7:45 a.m. The cost is $8.79 for each
student. How much will it cost for 26 students to go on the trip?
Part 7: Statistics
Remember to go to www.khanacademy.com if you require a review of these math concepts.
1) Determine the mean, median, mode and range of the data set.
12, 18, 15, 13, 18, 10, 11
2) Create a box plot based on the given data.
3, 5, 8, 2, 6, 8, 4, 6, 2
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