Download Math Review Sheet #3 of Q1

Math Review Sheet #2 of Q1
Name ______________________________
Date : September 25, 2015
Mrs. Mills - Period _________
Due Date: Monday, October 5th
I. Computation:
You must show all your work to receive credit.
1. 802 + 86
2. 7001 – 84
4. 832 ÷ 4
5. 153 x 8
3. 231 ÷ 3
6. 0.74 x 2.9
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7. 4.36 + 83.4
8. 5.86 + 52
10. 68.8 – 53
11. 0.68 x 4.1
9. 7.3 – 2.27
12. 1.93 x 36
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II. Place Value
Identify the place each 3 is in.
1. 555,555.382
_______________________________
2. 736.0555
_______________________________
3. 65.22399
_______________________________
4. 83,999,999,999
_______________________________
State the value of the 3 in each number.
5. 85.0013
_______________________________
6. 534.6
_______________________________
7. 7.1366
_______________________________
8. 45,434.222
_______________________________
9. Express 121.01823 in word form.
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
10. Express 10,000 + 400 + 0.05 + 0.007 in standard form.
_______________________________________________________
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III. Fraction Basics
A. Determine the greatest common factor (GCF) for each pair of numbers.
1. 36 and 9
_________
2. 12 and 18
_________
B. Determine the least common multiple (LCM) for each pair of numbers.
1. 12 and 9
_________
2. 15 and 9
_________
Convert each improper fraction to a mixed number.
C.
1.
15
9
=
3.
2.
22
3
=
4.
15
4
=
30
7
=
D. Convert each mixed number to an improper fraction.
1.
53
=
3.
27
=
2.
19
=
4.
37
=
1
2
6
4
E. Express each fraction in simplest form.
1.
15
=
36
2.
210
360
=
4
IV. Fraction Computation
Solve. Be sure to express your answer in simplest form.
4
9
1.
4
9
+
__________________
4.
5.
2.
8
5
6
+ 3
4
9
3.
____________________
6
1
3
- 2
5
6
______________________
7
3
x
9
14
6.
7
1
2
x6
2
5
3
7
7.
7
1
x7
7
1 x
3
10
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V. Data and Statistics
You may use a calculator for this section.
Find the mode for each set of data.
1. 92; 70; 75; 80; 90; 92
____________
2. 8; 1; 6; 5; 8; 1
____________
3. 100; 99; 98; 10; 88
____________
Central Tendencies and Measures of Variation
Find the range for each set of data.
4. 90; 88; 90; 76; 81
____________
5. 5; 9; 2; 9; 4; 2
____________
Mode: Most frequently occurring.
You can have more than one mode.
If there isn’t a number that repeats in your data set
there is no mode.
Median: The middle # in your data set. Be sure
data is ordered before determining the middle.
For an even data set, take the mean of the two
numbers in the middle.
You cannot have two medians.
Find the median for each set of data.
6. 55; 30; 19; 40; 70
____________
7. 98; 90; 92; 99
____________
Mean: To calculate the mean you take the sum of
the data then divide by the number of items in your
data set.
Range: The difference between the
Greatest and Least Number (value) .
Find the mean for each set of data. (Round your
answer to the nearest whole number.)
8. 45; 30; 19; 40; 22
____________
9. 90; 90; 92; 86
____________
Find the mean for the following set of data. (Round
your answer to the nearest tenth place.)
10. 5.6; 6.28; 5.91; 6.5
____________
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VI. Expressions and Equations
A. Write each word expression as an algebraic or numeric expression.
1. Two more than a number, n
___________________
2. The sum of six and sixteen
___________________
3. The quotient of three and a number, n
___________________
4. The product of four and a number, n
___________________
5. Five less than a number seven
___________________
B. Evaluate each expression. You must show your work to receive credit.
1. 8 + 2 x 2
3. (8 + 2) x 6
2. 24 ÷ 3 x 2
4. 100 – 3 + 2 x 5
C. Solve each equation. You can use a calculator for this section.
1. 2 + a = 18
_________
4. n + 4 = 10
_________
2. 24 – n = 7
_________
5. n – 13 = 40
_________
_____________
n
6. 15 = 3
_________
40
3. n = 4
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VII. Geometry
A. Find the area of each rectangle.
1.
Area = _______square units
12 yards
2.
4 yards
Area = _____________ square yards
3.
11.7 cm
Area = ________________ cm2
6.4 cm
B. Find the perimeter of each figure below.
24 cm
1.
3 cm
7 cm
Perimeter = ______________ cm
28 cm
2.
8 ft
8 ft
Perimeter = ______________ ft
12 ft
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C. Coordinate Geometry
E
Plot and label the following points:
1. A (4, 3)
D
D
2. B. (6, 1)
3. C. (0, 3)
4. List the ordered pair for Point D
_____________
5. List the ordered pair for Point E.
_____________
6. What is the length of DE?
_____________
VIII. Rounding
Round each number to the nearest hundredth
1. 45.7345
_______________
3. 326.0366
_______________
2. 93.222999
_______________
4. 1,238.19356
_______________
Round each number to the nearest whole number
5. 75.2945
_______________
7. 386.90066
_______________
6. 463.222999
_______________
8. 1,638.856
_______________
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IX. Properties
Write the name of the property being illustrated.
1. 24 + 554 + 76 = 24 + 76 + 554
______________________________________
2. 7 x 1 = 7
______________________________________
3. 8(4 + 6) = (8 x 4) + (8 x 6)
______________________________________
4. 9 + 0 = 9
______________________________________
5. 25 x (4 x 16) = (25 x 4) x 16
______________________________________
6. 25,651 x 0 = 0
______________________________________
Associative Property: Changing the grouping of three or more addends (factors) does not change the
sum (product).
(27 x 4) x 25 = 27 x (4 x 25)
(238 + 90) + 10 = 238 + (90 + 10)
Commutative Property: Changing the order of addends (factors) does not change the sum (product).
a+b+c=a+c+b
axb=bxa
Distributive Property: The product of a number and a sum is equal to the sum of the individual
products of the addends and the number.
9 ( 4 + 8) = (9 x 4) + (9 x 8)
Identity Property of Addition: The sum of any number and zero is that number. n + 0 = n
Identity Property of Multiplication: The product of any number and one is that number: n x 1 = n
Zero Property of Multiplication: The product of zero and any number is zero. n x 0 = 0
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