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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. Sale Price = ?
pentagon
Sale Price - Unit Cost
Unit Cost + Markup
perimeter
2. Operations enclosed in a sign of grouping
mixed number
Always completed first
probability
Multitude
3. The greater any number is in comparison to another - the more equal parts will it contain of that other.
before solving
radius
Axiom IX.
x/100
4. A quadrilateral with two pairs of congruent - parallel sides
prism
the same point on the number line
parallelogram
Wage Rate ($ per hr) x Hrs worked
5. What is an evenly-spaced set?
Sum of Interior Angles of a Polygon: (n - 2) x 180
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
'six cubed'
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
6. Everything may be assumed as unity.
Axiom I.
2
prism
Change + - Original = New
7. Expresses fractional parts that are greater than 1.
mixed number
Magnitude at Rest and Magnitude in Motion
obtuse angle
equivalent
8. By the first letters of the alphabet (a - b - c - d - etc..)
greatest common factor (GCF)
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even
Unknown quantities
9. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
Even
diameter
reduced fraction
10. A polygon with six sides.
numerator
Number Systems
When the addends have the same sign both + or both -
hexagon
11. One number is said to be greater than (>) another when it is
obtuse angle
farther to the right on the number line.
UnitPrice ($/unit) x Qty.Purchas'd (units)
1
12. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
inverse
whether the addends have the same sign or opposite signs
When to use fractions
Reducing: The Brute-Force Method
13. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
quotient
Whole Numbers
Sum of Interior Angles of a Polygon: (n - 2) x 180
14. Indicates the number of times the base is to be multiplied
The Decimal Numbering System
exponent
right triangle
Revenue ($) - Cost ($)
15. Every number is contained in itself once.
Axiom VII.
Original + Change = New Change/Original = Percent Change
Magnitude at Rest and Magnitude in Motion
Evaluating Powers With Negative Exponents
16. A parallelogram with four right angles
When to use the Heavy Division Shortcut - and how to do it
congruent
Computation
rectangle
17. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Sum of Interior Angles of a Polygon: (n - 2) x 180
Subtracting Signed Integers
Even
18. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Shift DP 2 places left
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
Even - Odd or Non-Int
1
19. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
quadrilateral
equal to 1 divided by that number with a positive exponent
Step 1 of Converting mixed numbers to improper fractions
Multitude
20. The distance around a figure
perimeter
congruent
Positive-value integers
Alternative to the algebraic manipulation method to solving a VIC
21. In a division problem - the number that an amount is divided by
divisor
Proof
Equality
1
22. The two kinds of parts
Quantity
'six cubed'
A sum of 2 primes is Odd
Aliquot and Aliquant Parts
23. Part of the population that is studied to find the characteristics of the whole population.
Aliquant Part
sample
integer or whole number
square root
24. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
A = (Diagonal1 x Diagonal2) / 2
Converting Improper Fractions to Mixed Numbers
proportion
supplementary angles
25. Anything that may be increased or diminished
congruent
prism
Quantity
To convert any fraction to higher terms
26. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
rectangle
Every integer between 1 and X - inclusive - must be a factor of X
Even div. by 4
27. The result of muliplying two or more numbers
square root
improper fraction
(Last - First + 1)
product
28. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
complementary angle
exponent
from left to right
29. Zero divided by any whole number (except 0)
right angle
Is zero
Change + - Original = New
farther to the left on the number line
30. A value such as 6^3 can described as
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31. Things are Equal in Magnitude when they are
factor
unit ratio
scalene triangle
referred to the same Unit
32. A polygon that has four sides.
scale drawing
quadrilateral
Different Units
prime number
33. Unit Profit = ?
proportion
octagon
sample
Sale Price - Unit Cost
34. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
Subtracting Signed Integers
circumference
Unit Cost + Markup
Even
35. Reducing fractions is
Is zero
perimeter
dividing the numerator and denominator by the same number
y-axis
36. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
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
Odd
referred to the same Unit
polygon
37. Original x (1 - x/100) = New
Percent Decrease Formula
Aliquot Part
Unit Cost + Markup
mixed fraction
38. The amount that remains after one number has been subtracted from another
diameter
difference
hexagon
higher terms
39. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
supplementary angles
Same units
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
40. Total Sales or Revenue = ?
Unit Price x Qty. Sold
lowercase Variables
Greater
equation
41. Factors may be multiplied in any order.
exactly the same portion
commutative law of multiplication
( (Last - First) / Increment ) + 1
quotient
42. Is the agreement of things in Quanity.
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
prime factorization
Equality
similar figures
43. What are the only prime factors that a fraction resulting in a terminating decimals have?
Converting mixed numbers to improper fractions.
When to use fractions
hexagon
2 and/or 5 only
44. Is equal to zero. 0 x a = 0
Axiom III.
right angle
Different Units
Zero multiplied by any value
45. Change / Original Formula
quadrant
2
Change + - Original = New
supplementary angles
46. The vertical number line of a coordinate graph
The concept of trading decimal places and how it works
y-axis
numerator
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
47. An eight-sided polygon
lowest terms
Odd or Non-Int
referred to the same Unit
octagon
48. The two kinds of Multitude
Absolute and Relative
Sum of Interior Angles of a Polygon: (n - 2) x 180
Carry the 10's digit of the product to the top of the 10's column of factors.
Even and Odd
49. ' x percent' = ?
product
factors of the multiplication operation
x/100
Axiom III.
50. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Odd
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Parts
Axiom I.