WELCOME TO FORM 1!
SUMMER REVIEW MATH PACKET
This work will review basic concepts covered in the sixth grade at KO. We
will expect you to know all your math facts and be able to do all the material
in this packet. The three main areas that you should be comfortable with
are:
1.) understanding numbers
2.) operations with fractions, decimals and percents
3.) working with geometry
4.) working with variables
If you have difficulty remembering certain formulas or concepts, you may
look back at your notes from the past school year. If you encounter
difficulty with the majority of this review packet, you should seek extra
help at the beginning of the school year from your math teacher.
Please complete these worksheets and return them to your math teacher in
September. I would suggest working on them towards the end of the
summer. Please do not use a calculator and show all of your work.
Thanks, have a great summer and see you in September!
Ms. Sciglimpaglia
Math Department Chair
Form 1
Summer Review Math Packet
Welcome to Form 1
Summer Review Math Packet
Understanding Numbers
Find all the factor pairs of:
75
56
Make a factor tree for each number and then write the prime factorization of each
number using exponents.
36
Form 1
Summer Review Math Packet
525
A mystery number is greater than 50 and less than 100. You can make exactly
five different rectangles with the mystery number of tiles. (Hint: This means the
mystery number is a square number). Its prime factorization consists of only one
prime number. What is the mystery number?
Fran has made a rectangle using 36 square tiles. The sum of the length and
width of her rectangle is 15.
What are the length and width of Fran’s rectangle? Explain.
Would it be possible for the length and width of Fran’s rectangle to be 11 and 4?
Explain.
Form 1
Summer Review Math Packet
Mr. Vicario and his 23 students are planning to have hot dogs at their
class picnic. Hot dogs come in packages of 12, and hot dog buns
come in packages of 8.
What is the smallest number of packages of hot dogs and the smallest number of
packages of buns Mr. Vicario can buy so that everyone (including him) gets the
same number of hot dogs and buns and there are no leftovers? How many hot
dogs and buns does each person get?
If the class invites the principal, the secretary, the bus driver and three parents to
help supervise, how many packages of hot dogs and buns will Mr. Vicario need
to buy? How many hot dogs and buns will each person get if there are to be no
leftovers?
Form 1
Summer Review Math Packet
Fraction/ Decimal / Percent Operations
Add/subtract/multiply or divide. Remember to show your work.
1 5
1 −
2 8
1.78 – 0.432
12.04 + 21.91
1 2
•5
4 5
12 ÷
2
3
1 3
÷
6 4
7
2
+6
2
7
5.7 x 2
Form 1
Summer Review Math Packet
Solve.
I have 6 feet of licorice and I want to share it with my friends. If each person gets
2
of a foot, how many people are there?
3
If a farmstand sells eggs for $0.80 per dozen, how much would 3 ½ dozen eggs
cost?
There are 205 students in the middle school. If 41 students are girls in Form 2,
what percent of the middle school do the girls in Form 2 represent?
Party Central is having a summer sale. All party hats are 40% off. If the hats are
originally $13.00, what is the price for one hat with the discount?
Form 1
Summer Review Math Packet
Geometry
Please show all of your calculations or how you arrived at your answer.
What is the area of this triangle?
Give the dimensions of the rectangle with an area of 100 square units and wholenumber side lengths that has:
a.
the largest perimeter
b.
the smallest perimeter
Form 1
Summer Review Math Packet
The new middle school aquarium is a rectangular prism with these dimensions:
Length: 60 cm
Width: 25cm
Height: 30 cm
Find how much water it will take to fill the aquarium to the top (volume).
Find how much glass it will take to make the aquarium (surface area).
Note: There is no “top” to the aquarium. It may help to draw a net.
On the grid below, draw all the possible rectangles with whole-number side
lengths that have a perimeter of 10 units.
Form 1
Summer Review Math Packet
Working with variables
The table below shows fees for using a campsite at a state park for 1 day up to
the park limit of 10 days.
a.
Make a coordinate graph representing data in the table.
b.
Does it make sense to connect the points on your graph? Explain.
c.
Describe the pattern relating the variables days of use and campsite fee.
Form 1
Summer Review Math Packet
The graphs below show five patterns for the daily sales of a new video game as
time passed after its release. Match each (time, sales) graph with the “story” it
tells.
a.
b.
c.
d.
e.
The daily sales declined at a steady rate.
The daily sales did not change.
The daily sales rose rapidly, then leveled off, and then declined rapidly.
The daily sales rose at a steady rate.
The daily sales dropped rapidly at first and then at a slower rate.
Form 1
Summer Review Math Packet