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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. The largest single factor for two or more numbers.
quotient
greatest common factor (GCF)
1 and itself
Magnitude at Rest and Magnitude in Motion
2. By the last letters (u - x - y - etc.)
Axiom IV.
combination of addition and subtraction
Zero (0)
Known quantities
3. 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 intege
pentagon
There are two parts in the procedure for subtracting signed integers:
mode
62.5%
4. Change + - Original = New
equation
Change / Original Formula?
Even and Odd
divisor
5. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
complementary angle
Is equal to the original value
Aliquant Part
pyramid
6. The lower number in a fraction is the
The rule for adding negative integers is the same as the rule for adding positive integers:
denominator
simplify
fraction or broken number
7. Indicates the number to be multiplied
More
base
axiom
farther to the left on the number line
8. When will a decimal Not terminate and why?
divisor
product
1 and itself
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
9. What is the formula for: The Area of a Triangle ?
A minus sign ( - ) is used for two entirely different purposes:
Number Systems
mixed number
A = (Base x Height) / 2 - A = (BH)/2
10. Total Sales or Revenue = ?
composite number
Subtracting Signed Integers
product
Unit Price x Qty. Sold
11. An angle measuing more than 0 degrees and less than 90 degrees
(Last - First + 1)
acute angle
The concept of trading decimal places and how it works
proportion
12. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
equation
The rule for adding negative integers is the same as the rule for adding positive integers:
1 and itself
Even
13. A number is increased by 25%... what must you reduce the new number by to get the old number again?
prime factors
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
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
Relative multitude
14. Any number with an exponent of 0
prime number
cubed
Absolute and Relative
equal to 1
15. The two kinds of Multitude
common denominator
Absolute and Relative
x-axis
lowest terms
16. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
area
Unknown quantities
The Ratio of Any two of the following: Original - Change and New
When the addends have the same sign both + or both -
17. A mirror image of a figure shown over a line of reflection
Step 2 of Converting mixed numbers to improper fractions
factor
mixed number
reflection
18. 0.625 --> Fraction ?
rectangle
Terminating decimal
5/8
fraction or broken number
19. Expresses fractional parts that are greater than 1.
mixed number
lowest terms
supplementary angles
expression
20. The method for indicating the power of a number
Power notation
To make sure to solve for Both cases.
Axiom VI.
Wage Rate ($ per hr) x Hrs worked
21. A triangle with sides of different lengths and no two angles are the same
always clear the innermost groups first
Inserting a zero at the right end of a whole number
scalene triangle
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
22. Two angles whose sum is 180 degrees
area
supplementary angles
The sum of all the integers from 20 to 100 - inclusive
equal to 1
23. The two kinds of parts
Greater
Aliquot and Aliquant Parts
Even div. by 4
To add integers that have the same sign both positive or both negative:
24. Is ZERO positive or negative - both - or none?
perimeter
Converting mixed numbers to improper fractions.
scalene triangle
Both
25. A comparison of the two values of two numbers
ratio
acute angle
radius
Mathematics
26. A value that combines a whole number and a fractional amount
1
Axiom IV.
range
mixed number
27. The smallest multiple that two or more numbers have in common
mixed fraction
pi
least common multiple (LCM)
Homogenous or Heterogenous
28. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
Decreases
proportion
range
29. The ratio of a number to 100 (per one hundred). The symbol %
percent
mixed number
from left to right
Computation
30. 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
trapezoid
Converting Improper Fractions to Mixed Numbers
y-axis
Aliquant Part
31. The Only possible factors for a prime number are
When to use the Heavy Division Shortcut - and how to do it
Homogenous or Heterogenous
lowercase letters
1 and itself
32. The number to be multiplied by is called the
Is zero
Known quantities
acute angle
multiplier
33. Species are distinguished into
supplementary angles
rectangle
Known (Given) and Unknown (Sought)
rhombus
34. What are the only prime factors that a fraction resulting in a terminating decimals have?
When the addends have opposite signs one is + and the other is -
scalene triangle
Step 2 of Converting Improper Fractions to Mixed Numbers
2 and/or 5 only
35. An evenly-spaced set is fully-defined if what is known...?
prime factors
Aliquot Part
unit ratio
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
36. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Axiom V.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Same units
sample
37. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
radius
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
order of operations
38. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
1 and itself
radius
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
higher terms
39. Everything may be assumed as unity.
sum
Axiom I.
Even div. by 4
quotient
40. What's the reciprocal of v6 - and why?
To square an equation to solve it
least common multiple (LCM)
unit ratio
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
41. A line segment that passes through the center of a circle and has its endpoints on the circle
polygon
diameter
acute angle
straight angle
42. Unit Profit = ?
Axiom VI.
2
common denominator
Sale Price - Unit Cost
43. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
More
proper fractions
mixed number
Terminating decimal
44. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
whether the addends have the same sign or opposite signs
simplify
one is positive and the other is negative
Relative multitude
45. 5/8 --> Decimal ?
x-axis
To make sure to solve for Both cases.
Even and Odd
0.625
46. Two numbers are said to be equal (=) when they are at
like fractions
equal to 1
the same point on the number line
Both
47. A collection of things taken as a Unity. A bushel of wheat is a whole.
quadrilateral
Even
Whole
rhombus
48. The ratio of integers that results in a terminating decimal
congruent
higher terms
Some integer/Some Power of 10
(Last - First + 1)
49. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
proper fraction
Subtracting Signed Integers
polygon
mixed number
50. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
complementary angle
Magnitude
Decreases
The sum of all the integers from 20 to 100 - inclusive