Download Review Sheet #4 of Quarter 2

Math Review Sheet #4 of Q2
Name ________________________________
Date Assigned: January 15, 2016
Mrs. Mills - Period _________
Due Date: Monday, January 25th
I. Computation:
You must show all your work to receive credit. Any remainders should be
expressed as either decimals or fractions.
1. 5004 – 58
2. 874 ÷ 4
3. 70.83 ÷ 9
4. 0.46 x 8.2
5. 4.58+ 81.7
6. 32.38 + 71
1
7. 8.4 – 1.72
8. 252.3 – 81
9. 0.81 x 2.8
II. Rounding
Round each number to the nearest hundredth
1. 5.3875
_______________
2. 918.8246764
_______________
Round each number to the nearest whole number
3. 508.17995
_______________
4. 97.7366
_______________
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III. Place Value
Identify the place each 3 is in.
1. 94,722.213
_______________________________
2. 555.232
_______________________________
State the value of the 3 in each number.
3. 85.03
_______________________________
4. 45,154.163
_______________________________
Express each number in word form.
5. 61.045
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
6. 2,060.034
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
7. Express 80,000 + 50 + 0.1 + 0.008 in standard form.
_______________________________________________________
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IV. Fraction Basics
A. Determine the greatest common factor (GCF) for each pair of numbers.
1. 45 and 6
_________
3. 12 and 18
2. 8 and 16
_________
4. 20 and 18
__________
__________
B. Determine the least common multiple (LCM) for each pair of numbers.
1. 12 and 6
_________
3. 9 and 12 __________
2. 6 and 15
_________
4. 8 and 3
__________
Convert each improper fraction to a mixed number.
C.
1.
34
8
=
3.
41
9
=
D. Convert each mixed number to an improper fraction.
1.
1
1
5
=
3.
8
4
7
=
E. Express each fraction in simplest form.
1.
6
=
45
2.
150
510
=
4
V. Fraction Computation
Solve. Be sure to express your answer in simplest form.
5
8
1.
7
8
+
__________________
6
2
5
+ 9
4
9
____________________
3.
-
9
1
4
5
5
6
______________________
1
3
x1
4
5
2
7
6.
7.
2
5
9
x
8
10
4.
5.
2.
2 x
1
3
8
1
x 21
7
5
VI. Data and Statistics
You may use a calculator for this section.
The
Set A:
Find the mean, mode, range, and median for each data set.
0.8; 1.5; 3; 2.5; 3.5; 4; 5.25; 4
Mean:
______________ (round to the nearest hundredth)
Mode:
______________
Median
______________
Range
______________
Set B:
100; 78; 53; 84; 83; 96; 92; 80; 84; 93; 78; 96; 85
Mean:
__________ (round to the nearest whole number)
Mode:
__________
Median:
__________
Range:
__________
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VII. Expressions and Equations
A. Write each word expression as an algebraic or numeric expression.
1. two less than twice a number, n
___________________
2. The product of nine and eight
___________________
3. The quotient of eight and a number, n
___________________
4. The sum of four and a number, n
___________________
5. two decreased by eight
___________________
B. Evaluate each expression. You must show your work to receive credit.
1. 6 + 12 ÷ 6
3. (8 - 6) x 3
2. 40 ÷ 4 x 2
4. 10 – 2 + 2 x 1
C. Solve each equation. You can use a calculator for this section.
1. 17 + a = 48
_________
4. n + 468 = 911 _________
2. 29 – n = 2
_________
5. n – 67 = 94
n
= 12
12
_________
6.
3.
20
= 20
n
_________
_________
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VIII. Geometry
A. Refer to the figure below for question #1 & #2.
1. What is the area of the figure below?
____________ square units
2. What is the perimeter of the figure below?
_____________ units
10 cm
3 cm
14 cm
19 cm
B. Calculate the perimeter of each figure.
Show your work by substituting the proper variables for step 2.
1.
6 cm
Perimeter = sum of all sides
12cm
m
8.5 cm
Perimeter = _____________________
Perimeter = ________________ cm
2.
6 cm
8 cm
Perimeter = Sum of all sides
Perimeter = _____________________
3.6 cm
Perimeter = ____________ cm
8
29 cm
3.
Perimeter = Sum of all sides
8 cm
9 cm
8 cm
Perimeter = _____________________
Perimeter = ____________ cm
B. Calculate the area of each figure.
1.
Area = lw
12 in
3 in
Area = ______________
7 inin
11
Area = ______________ sq. in
5.7m
2.
Area = lw
Area = ______________
6.2 m
6 m
Area = ______________ sq. m
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C. Coordinate Geometry
Plot and label the following points:
1. A (1, 0)
D
2. B. (2, 6)
3. C. (5, 0)
D
E
4. List the ordered pair for Point D _______
5. List the ordered pair for Point E.
6.
What is the length of DE?
______
__________
IX. Properties
A. Write the name of the property being illustrated.
1. n x 1 = n
______________________________________
2. 8 x 0 = 0
______________________________________
3. n + 0 = n
______________________________________
4. (29 x 25) x 4 = 29 x 25 x 4)
______________________________________
5. 17 + 346 + 3= 17 + 3 + 346
______________________________________
B. Complete each equation to illustrate the distributive property.
1. 7 (9 + 5) =
__________ + __________
2. 6 (2n + 4) =
__________ + __________
3. 3 (n + 2) =
__________ + __________
4. 7 ( 8n + 9) =
______________________
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X.
Ratio/Proportions
Use the following information to complete #1 & 2.
Mrs. Winnis has a jar of 24 gumballs. There are red, white, and blue gumballs.
There are 8 white gumballs and 9 blue gumballs.
1. Write the ratio of red to blue gumballs .
______________
2. Write the ratio of total gumballs to blue gumballs.
______________
3. Mrs. Sobrin stocks up each year with the same amount of Math tools. Last year she
bought 7 protractors for every 5 compasses. This year she bought 3 protractors for every
9 compasses. Last year she bought 21 protractors. How many compasses did she buy
this year? Use a tape diagram to support your answer.
4. Brianna can swim 7 laps every 10 minutes. Phoebe swims 9 laps every 12 minutes.
Who swims faster? Use ratio tables to support your answer. Be sure to include
evidence in your answer.
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5. In Mrs. Pink’s homeroom the students bring in 8 gifts every 6 days. Mr. Colon’s
homeroom students bring in 9 gifts in every five days. Whose homeroom brings in more
gifts? Use ratio tables or the value of a ratio to support your answer.
6. Brian can complete 70 facts in 30 seconds. What is the Brian’s unit rate for basic fact
completion?
7. Write an equation to represent the relationship between powder(p) and water (w) if for
every 8 TBS of powder 5 cups of water are used.
___________________________
8. The table below shows the amount of money Gabe earns working at a coffee shop.
# hours worked
Money earned ($)
3
6
9
12
40.50
81.00
121.50
162.00
How much does Gabe earn per hour?
______________________
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9. Milton Middle School is planning to purchase a new copy machine. The principal has
narrowed the choice to two models: SuperFast Deluxe and Quick Copies. He plans to
purchase the machine that copies at the fastest rate. Use the information below to
determine which copier the principal should choose.
Quick Copies: 𝑐 = 2.5𝑡 (where 𝑡 represents the amount of time in seconds, and 𝑐
represents the number of copies)
Super Fast Deluxe:
Number of Copies vs Number of Seconds
84
72
Number
of
Copies
60
48
36
24
12
0
20
40
60
80
100
Number of Seconds
Which copier should the school purchase? Why? (be sure to support your answer
evidence gathered from the equation and graph)
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
10. Complete the following conversions:
a. 3 gal = ________ qt
d. 94 kl =
_____________ l
b. 20 pt = ________ qt
e. 0.56 kl = ______________ l
c. 14 yd = ________ ft
f. 8,500 ml = ____________ l
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