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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
Subjects
:
clep
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Even X Even = ? ... and is div. by ?
acute angle
Even div. by 4
Negative-value integers
Axiom V.
2. Total Earnings ($) = ?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even or Non-Int
Wage Rate ($ per hr) x Hrs worked
1 and itself
3. An eight-sided polygon
Magnitude
octagon
A = (Diagonal1 x Diagonal2) / 2
proportion
4. Always try to Factor a quadratic equation
sample
Multitudes and Magnitudes
Odd
before solving
5. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
commutative law of multiplication
prism
prime factorization
the Complement of that part to the whole
6. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
acute angle
proportion
numerator
product
7. An angle measuring more than zero degrees and less than 90 degrees
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
change the operation from subtraction to addition
acute angle
8. Surface space that is measured in square units.
area
Even and Odd
lowest terms
putting that number over 1
9. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
x-axis
2
0.625
To convert any fraction to higher terms
10. An angle that measures 180 degrees
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
straight angle
least common multiple (LCM)
mode
11. The denominator of the fraction part of the mixed number is
inverse
Inequality
numerator
the denominator of the original improper fraction
12. Odd x ? = Even
Even
mode
simplify
When to use fractions
13. Species of Quantities are signified by
ratio
Increases the value.
pyramid
lowercase letters
14. An angle that measures 90 degrees
supplementary angles
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
right angle
mixed fractions
15. Having the same value
Number
farther to the left on the number line
equivalent
improper fraction
16. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
'six cubed'
Odd
quotient
circumference
17. The whole is more or greater than its part.
diameter
Axiom IV.
There are two parts in the procedure for subtracting signed integers:
Percent Decrease Formula
18. The numerator is greater than - or equal to - the denominator
quotient
factor
Unit Price x Qty. Sold
improper fraction
19. Total Earnings ($) = ?
polygon
right triangle
Wage Rate ($ per hr) x Hrs worked
Multitudes and Magnitudes
20. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Negative-value integers
mixed fractions
(Last - First + 1)
Multitude
21. Any number with a negative exponent
circumference
perimeter
equal to 1 divided by that number with a positive exponent
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
22. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
improper fraction
proper fraction
Unknown quantities
23. What is the formula forCounting consecutive multiples?
equal to 1
radius
theorem
( (Last - First) / Increment ) + 1
24. The two kinds of Quantity are
range
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
Shift DP 2 places left
Multitudes and Magnitudes
25. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
equilateral triangle
0
Even
26. The result of dividing one number by another; the solution to a division problem
Axiom I.
rhombus
quotient
probability
27. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
The height of a triangle
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Odd
28. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
theorem
Odd
polygon
Even
29. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Adding negative integers will always produce a negative sum
lowest terms
straight angle
improper fraction
30. In order to understand and use exponents that are fractions or decimals - you must first know about
Absolute and Relative
roots of numbers
Wage Rate ($ per hr) x Hrs worked
hexagon
31. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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32. Everything may be assumed as unity.
Known quantities
Axiom II.
Inserting a zero at the right end of a whole number
Axiom I.
33. Two angles whose sum is 180 degrees
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
supplementary angles
improper fraction
Axiom VII.
34. Anything that may be increased or diminished
both integers are positive or both are negative
hexagon
Quantity
y-axis
35. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Whole Numbers
Even
Axiom V.
36. To make a fraction easier to work with by taking out common factors
proper fraction
polygon
( (Last - First) / Increment ) + 1
simplify
37. Rules that tell which steps to follow when solving an expression.
commutative law of multiplication
0.625
order of operations
Fractions allow you to plot values between whole numbers and integers.
38. The two kinds of Multitude
Absolute and Relative
How the Last Digit Shortcut works
hexagon
equal to itself.
39. The largest integer that can be divided evenly into both the numerator and denominator.
x-coordinate
Composite number
Fractions allow you to plot values between whole numbers and integers.
Reducing by the Largest Common Factor (LCF)
40. The result of muliplying two or more numbers
Magnitude
circumference
product
lowest terms
41. When the product in the 1's column is greater than 9
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42. The whole-number system uses only ten characters -0 through 9.
Shift DP 2 places left
1
The Decimal Numbering System
Every integer between 1 and X - inclusive - must be a factor of X
43. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
radius
lowest terms
product
44. A comparison of the two values of two numbers
exponent
Step 2 of Converting Improper Fractions to Mixed Numbers
greatest common factor (GCF)
ratio
45. Two angles whose sum is 180 degrees
There are two parts in the procedure for subtracting signed integers:
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
supplementary angles
ratio
46. A polygon that has four sides
whether the addends have the same sign or opposite signs
mean
exponent
quadrilateral
47. A polygon with five sides
Multitudes and Magnitudes
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
pentagon
lowercase Variables
48. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Unity - or a Unit
Power notation
Inserting a zero at the left end of a whole number
circumference
49. Surface space that is measured in square units
x = (+-) a
A = (Diagonal1 x Diagonal2) / 2
area
Subtracting Signed Integers
50. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
vertex (vertices - plural)
Odd
inverse operations
When you are absolutely sure the variable or expression <> 0