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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. Two angles whose sum equals 90 degrees.
reciprocal
A minus sign ( - ) is used for two entirely different purposes:
Composite number
complementary angles
2. What's the reciprocal of v6 - and why?
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?
squared
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
Increases the value.
3. The result of multiplying two or more numbers.
prime factors
Odd
product
1 - (y/100)
4. Always try to Factor a quadratic equation
before solving
Unit Price x Qty. Sold
circumference
straight angle
5. All the positive whole numbers
integer values
common denominator
congruent
multiplier
6. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
Is zero
squared
common factor
7. A number that when multiplied by itself results in the original number
square root
Zero multiplied by any value
Axiom VI.
Increases the value.
8. A triangle with sides of different lengths and no two angles are the same.
from left to right
supplementary angles
simplify
scalene triangle
9. An eight-sided polygon
1
octagon
The height of a triangle
Non-Int
10. All whole numbers (both positive and negative) and zero.
squared
Multitudes and Magnitudes
integers
mode
11. The whole-number part of the mixed number is the whole-number part of the
quotient
Every integer between 1 and X - inclusive - must be a factor of X
Positive-value integers
Axiom VIII.
12. The four Mathematical arts are:
median
Arithmetic - Music - Geometry and Astronomy
base
Unit Price x Qty. Sold
13. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
median
Even
mixed fraction
14. 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.
inverse operations
Any value multiplied by one
Even and Odd
Same units
15. 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
product
Both
2
Subtracting Signed Integers
16. Always perform combinations of multiplication and division before
complementary angles
Decimals/Percents
Is equal to the original value
combination of addition and subtraction
17. A Polygon is a closed shape formed by
mean
Line Segments
reciprocal
2
18. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
To convert any fraction to higher terms
A = (Diagonal1 x Diagonal2) / 2
The rule for adding negative integers is the same as the rule for adding positive integers:
numerator
19. The total of two or more numbers being added
parallelogram
sum
Absolute and Relative
multiplier
20. No integer (except 1) that divides evenly into both the numerator and denominator.
Percent Change
reduced fraction
1
improper fraction
21. The result of the multiplication is called the
enclosing the numbers in a pair of vertical lines | |
complementary angles
Converting mixed numbers to improper fractions.
product
22. The action of the mind whereby a quantity is measured by Unity or a Unit.
dividend
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Computation
23. A ratio that compares two different types of quantities
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
rate
mixed fraction
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
24. The whole is equal to all of its parts taken together.
referred to the same Unit
exponent
mode
Axiom V.
25. The study of quantity
Converting mixed numbers to improper fractions.
Decimals/Percents
x-axis
Mathematics
26. A solid figure with two congruent and parallel circular bases
Step 2 of Converting Improper Fractions to Mixed Numbers
cylinder
( (Last - First) / Increment ) + 1
greatest common factor (GCF)
27. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
Aliquant Part
radius
prime number
28. In order to understand and use exponents that are fractions or decimals - you must first know about
Revenue ($) - Cost ($)
roots of numbers
5/8
Change + - Original = New
29. The two kinds of parts
numerator
multiplicand
x-axis
Aliquot and Aliquant Parts
30. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
Zero (0)
proportion
expression
31. 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
Even or Non-Int
Step 2 of Converting Improper Fractions to Mixed Numbers
right triangle
Unit Price x Qty. Sold
32. Rules that tell which steps to follow when solving an expression.
order of operations
isosceles triangle
polygon
right triangle
33. The difference between the least and greatest values in a set of numbers.
range
Is equal to the original value
referred to Unity in the same way
quadrilateral
34. Anything that may be increased or diminished
Quantity
Axiom IX.
Reducing fractions
numerator
35. The result of dividing one number by another; the solution to a division problem
mixed fraction
(Last - First + 1)
quotient
common denominator
36. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
The height of a triangle
product
Non-Int
37. When working with nested signs of grouping
unit ratio
Axiom VIII.
always clear the innermost groups first
exponent
38. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
unit ratio
Odd
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
Wage Rate ($ per hr) x Hrs worked
39. A number with an exponent of 2 is often said to be
squared
Always completed first
median
x/100
40. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
divisor
Greater
Any value multiplied by one
proportion
41. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
reduced fraction
x-coordinate
prism
Axiom VI.
42. 3/2 - 8/3 - -16/5 - 7/7
Non-Int
improper fractions
Reducing by the Largest Common Factor (LCF)
mixed fractions
43. A number is increased by 25%... what must you reduce the new number by to get the old number again?
combination of addition and subtraction
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
like fractions
square unit
44. 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.
Reducing fractions
Inserting a zero at the left end of a whole number
lowercase letters
lowest terms
45. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
farther to the left on the number line
x = (+-) a
x-axis
Step 1 of Converting mixed numbers to improper fractions
46. The number being divided is called the
mode
Terminating decimal
dividend
Reducing fractions
47. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
Zero (0)
prime factors
quotient
vertex (vertices - plural)
48. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Axiom VII.
when there are explicit or implicit equations in the problem:
Unity - or a Unit
contains only a single number
49. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
When numbers do not divide evenly
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
To add integers that have the same sign both positive or both negative:
Sale Price - Unit Cost
50. The ratio of a number to 100 (per one hundred). The symbol %
percent
When the addends have opposite signs one is + and the other is -
obtuse angle
1