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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 = ?
range
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
dividend
Unit Cost + Markup
2. Reversed position or direction
A = (D1 x D2) / 2
simplify
inverse
always clear the innermost groups first
3. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
range
straight angle
x-coordinate
polygon
4. The whole-number part of the mixed number is the whole-number part of the
A = (Diagonal1 x Diagonal2) / 2
one is positive and the other is negative
quotient
To add integers that have the same sign both positive or both negative:
5. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
theorem
inverse
radius
6. What is the formula forCounting consecutive multiples?
proper fraction
simplify
( (Last - First) / Increment ) + 1
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
7. A number that is a multiple of all denominators in a problem.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
multiplier
common denominator
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
8. 'y percent less than' = ?
The Decimal Numbering System
rectangle
vertex (vertices - plural)
1 - (y/100)
9. The number doing the dividing is called the
divisor
dividend
Magnitude
parallel lines
10. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
y-axis
Reducing by the Largest Common Factor (LCF)
2^3 = 8
Quantity
11. What are the 2 'percent change' equations?
hexagon
2
Original + Change = New Change/Original = Percent Change
multiplicand
12. Original x (1 - x/100) = New
Percent Decrease Formula
base
Odd
5/8
13. Whole is equal in Multitude to a Part of the other.
Whole
percent
Known (Given) and Unknown (Sought)
Equal
14. An evenly-spaced set is fully-defined if what is known...?
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
A = (D1 x D2) / 2
Aliquot and Aliquant Parts
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
15. Rules that tell which steps to follow when solving an expression
order of operations
parallelogram
rhombus
integer values
16. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
improper fraction
Different Units
range
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
17. What are the rules for picking numbers in VICS?
polygon
Percent Change
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
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
18. 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').
Whole Numbers
percent
Subtracting Signed Integers
enclosing the numbers in a pair of vertical lines | |
19. A quadrilateral with one pair of parallel sides
Unit Cost + Markup
trapezoid
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
x-coordinate
20. A whole number that has only one set of factors - itself and 1.
dividend
Axiom VIII.
Odd
prime number
21. Total Sales or Revenue = ?
Unit Price x Qty. Sold
mean
1 - (y/100)
Long Division
22. The exact procedure for adding signed integers depends upon
Is zero
whether the addends have the same sign or opposite signs
polygon
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
23. The sum of a group of numbers divided by the number of numbers; also known as the average
Number
Carry the 10's digit of the product to the top of the 10's column of factors.
mean
Subtracting Signed Integers
24. A number that is a factor of two or more numbers.
quotient
scalene triangle
common factor
equivalent
25. When are you allowed to divide by a variable - (or Any expression) ?
reduced fraction
(Last - First + 1)
Increases the value.
When you are absolutely sure the variable or expression <> 0
26. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
simplify
vertex (vertices - plural)
Axiom I.
27. A value such as 6^3 can described as
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28. The amount that remains after one number has been subtracted from another
Aliquant Part
difference
from left to right
Axiom VII.
29. The vertical number line of a coordinate graph
Converting mixed numbers to improper fractions.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
y-axis
Inequality
30. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Aliquant Part
To add integers that have opposite signs:
lowest terms
Magnitude at Rest and Magnitude in Motion
31. No integer (except 1) that divides evenly into both the numerator and denominator.
equilateral triangle
lowercase Variables
reduced fraction
Revenue ($) - Cost ($)
32. Reducing fractions is
equal to itself.
absolute value
dividing the numerator and denominator by the same number
Carry the 10's digit of the product to the top of the 10's column of factors.
33. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
proportion
Multitudes and Magnitudes
To find out - easily - if one fraction is bigger than another
Even - Odd or Non-Int
34. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
the Complement of that part to the whole
square root
Odd
absolute value
35. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
More
Long Division
area
36. Things are Equal in Magnitude when they are
hexagon
range
reflection
referred to the same Unit
37. The terms Species and Number
Sale Price - Unit Cost
Quantity is expressed
Every integer between 1 and X - inclusive - must be a factor of X
Sum of Interior Angles of a Polygon: (n - 2) x 180
38. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
One... the number 2
integer or whole number
pi
2^3 = 8
39. Odd x ? = Even
Even
lowercase letters
Power notation
Line Segments
40. The Only possible factors for a prime number are
factoring
1 and itself
One... the number 2
To add integers that have the same sign both positive or both negative:
41. Total Sales or Revenue = ?
Unit Price x Qty. Sold
supplementary angles
Equal
mean
42. Having the same size and shape
polygon
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
1
congruent
43. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Computation
unit ratio
Long Division
Line Segments
44. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
percent
Wage Rate ($ per hr) x Hrs worked
proportion
To add integers that have opposite signs:
45. Zero divided by any whole number (except 0)
ratio
( (Last - First) / Increment ) + 1
Is zero
Relative multitude
46. Change + - Original = New
denominator
Decreases
Non-Int
Change / Original Formula?
47. Total Earnings ($) = ?
prime factorization
the denominator of the original improper fraction
To find out - easily - if one fraction is bigger than another
Wage Rate ($ per hr) x Hrs worked
48. Every quantity is equal to itself.
ratio
(Last - First + 1)
lowercase Variables
Axiom II.
49. 0.625 --> Fraction ?
To square an equation to solve it
probability
right angle
5/8
50. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
quadrilateral
sample
improper fraction
Number Systems