NS.1
1) Lynn ate 2 ½ cups of ice cream. She used a 5/8-cup scoop. How many scoops of ice cream did Lynn eat? 4 scoops
Divide 5/2 by 5/8 = 5/2 x 8/5 = 40/10 = 4
2) Simplify each expression. Write each expression in the correct box.
9/8 divided by 1/2
3/2 divided by 2/3
42/5 divided by 12/5
Solution of 2 ¼ / Solution of 3 ½3) Ms. Lake has 6 ¾ pounds of pecans to share among 12 children. How many pounds of pecans should each child receive?
Take the product or food and split among
the 12 children. 6 ¾ divided by 12 =
27/4 divided by 12 = 27/4 x 1/12 = 27/48 =
9/16 lbs
To verify or check your answer
9/16 x 12 = 6/75 = 6 ¾
RP.3d
4) Bradley’s dog has a mass of 25,700 grams. a)What is the dog’s mass in milligrams?
25,700,000 milligrams
b) What is the dog’s mass in kilograms?
25.5kilograms
5) A watermelon weighs 4 pounds. How many ounces does it weigh? (16 ounces = 1 pound)
16 x 4 = 64 ounces
6) The swimming pool is 54 feet long. How many yards long is the pool? (3 feet = 1 yard)
54 divided by 3 = 18 yards
NS. 4
7) Eddie bought two plants. He decided to water his first plant every 2 days and his second plant every 3 days. How many days will pass before he waters both plants on the same day?
Eddie will water both plants on the 6th day.
8) Mitch is buying hamburgers and hamburger buns. Hamburgers are sold in packages of 6 each. Hamburger buns are sold in packages of 8 each. What is the least number of hamburgers and buns Mitch can buy if he wants to have an equal number of each?
LCM = 24
6 12 18 24 30 36
8 16 24 32 40 48
24 divided by 6 = 4 packages of hamburgers
24 divided by 8 =3 packages of hamburger buns
Mitch would have 24 hamburgers and
24 hamburger buns.
9) Mr. Thomas is packaging items to give to his students. He has 48 pencils and 30 notebooks. He wants each package to contain the same number of pencils and notebooks. What is the greatest number of packages Mr. Thomas can make without having any items left over?
GCF = 6
48 –48, 16, 12,8,6, 3, 2, 1
30 –30, 15, 6, 5, 2, 1
Mr. Thomas can take 8 pencils and
5 notebooks to make 6 packages
without having any items left over.
10) Mr. Fortune directs two choruses. One chorus has 28 students and the other has 36 students. He wants to divide each chorus into the largest possible equal groups, with no students left over. How many students will be in each group?
GCF = 4
Do a factor tree to find the
greatest common factor.
28, 14, 7, 4, 2, 1
36, 12, 9, 4, 3, 2, 1
If Mr. Fortune puts together 4
Groups, he will have 28 divided
by 4 = 7 students and 36 divided
by 4 = 9 students of the other
chorus in each group.
This equates to 16 students in 4
groups.
EE.7
11) Christy worked a total of 10 hours over two days. She worked 6 hours the first day and h hours the second day. Which shows the equation that represents the situation and the number of hours she worked the second day?
a) hours
b) hours
c) hours
d) hours
12) Franklin paid $152 for 8 DVDs. Each DVD was the same price. Which shows the equation that represents the situation and the price of each DVD?
a)
b)
c)
d)
13) Ricky bought bottles of water at $2.10 each and a large pizza at $12.99. The total cost was $21.39. Which equation would you use to find the number of bottles of water b he bought?
a) 2.10b + 12.99 = 21.39
b) 2.10 + 12.99b = 21.39
c) 2.10c = 21.39 + 12.99
d) 21.39 + 2.10b = 12.99
EE.8
14) Angela has $38 to spend on a pair of jeans. Which inequality best represents j, the amount that Angela can spend on the jeans?
a) b)
c) d)
15) List 3 solutions for the inequality 3x > 12. x = 1 x = 2 x = 3
16) Which inequality best represents the following situation?
I need at least 1 pencil, p, for math each day.
a) b)
c) d) p
17) Solve and graph the following inequality.
Divide both sides by 7
x is greater than or equal to 6.
G.1
18) A section of a stained-glass window is shaped like a parallelogram. Its base is 6.5 inches, and its height is 5 inches. How much glass is needed to cover the section completely?
A = bh = 6.5 x 5 = 32.5 square inches
19) A farmer wants to sod a field that is in the shape of the triangle below. How many square feet of sod will he need?
Area = 629 square feet
Area = ½ bh base =74ft height =17ft
20) Find the area of the trapezoid.
Area = 54 square inches
Area = ½ h (b1 + b2)
Base1 =6 in Base2 =12 in
height = 4 in
21) Find the area. Decompose the composite figure into knownpolygons or shapes. (2 rectangles)
Area of a parallelogram or rectangle =
Area = base x height
Rectangle 1 Area = 10 x 2 square cm
Rectangle 1 Area = 20 square cm
Rectangle 2 Area =(10-6) = 4cm x 9cm
Rectangle 2 Area = 36 square cm
Total Area = Rectangle1 + Rectangle2
22) Find the area of the shaded portion.
Make sure to show your work and be
able to explain your steps.
To find shaded area find area of each rectangle.
Subtract the white rectangle from the shaded or gray rectangle.
Area White Rectangle = 2m x 7m
= 14 square meters
Area of Gray Rectangle = 12m x 10m
= 120 square meters
=120 – 14
= 106 square meters represents the shaded area of the diagram
Bonus. What is a polyhedron?
Write the formula for calculation of volume of a rectangular prism.
Give an example of a rectangular prism.