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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. A self-evident statement - that is - one that does not need to be demonstrated.
(Last - First + 1)
axiom
A = (Diagonal1 x Diagonal2) / 2
before solving
2. Always perform the operations
reciprocal
similar figures
from left to right
Mathematics
3. 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
The sum of all the integers from 20 to 100 - inclusive
area
Step 2 of Converting mixed numbers to improper fractions
To add integers that have opposite signs:
4. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
A plus sign (+) is used for two entirely different purposes:
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Converting Improper Fractions to Mixed Numbers
5. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
simplify
Magnitude at Rest and Magnitude in Motion
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
1 - (y/100)
6. The four Mathematical arts are:
improper fraction
Arithmetic - Music - Geometry and Astronomy
Shift DP 2 places right
farther to the right on the number line.
7. The distance around a circle (the perimeter of a circle)
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?
prism
acute angle
circumference
8. Surface space that is measured in square units.
Alternative to the algebraic manipulation method to solving a VIC
multiplier
area
contains only a single number
9. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
median
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
radius
whether the addends have the same sign or opposite signs
10. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
x-coordinate
UnitPrice ($/unit) x Qty.Purchas'd (units)
polygon
11. Whole is equal in Multitude to a Part of the other.
Equal
Known quantities
Inserting a zero at the right end of a whole number
rectangle
12. The number to be multiplied by is called the
perimeter
prism
multiplier
Original + Change = New Change/Original = Percent Change
13. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
When numbers do not divide evenly
Step 1 of Converting mixed numbers to improper fractions
Reducing: The Brute-Force Method
14. A comparison of the two values of two numbers
supplementary angles
inverse
least common multiple (LCM)
ratio
15. Two angles whose sum is 180 degrees
improper fraction
prime number
Unity - or a Unit
supplementary angles
16. A number that is a factor of two or more numbers.
product
common factor
Adding negative integers will always produce a negative sum
mixed fractions
17. Factors may be multiplied in any order.
commutative law of multiplication
proper fraction
Even
Magnitude at Rest and Magnitude in Motion
18. In a division problem - it's the number being divided
product
dividend
Fractions allow you to plot values between whole numbers and integers.
Long Division
19. One of the four regions formed by the intersection of the axes of a coordinate graph
right triangle
composite number
Percent Decrease Formula
quadrant
20. A number is increased by 25%... what must you reduce the new number by to get the old number again?
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
Axiom VIII.
mixed number
0
21. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
the same point on the number line
diameter
UnitPrice ($/unit) x Qty.Purchas'd (units)
radius
22. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
The concept of trading decimal places and how it works
composite number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
polygon
23. The vertical number line of a coordinate graph
Decimals/Percents
Axiom VI.
diameter
y-axis
24. An equation stating that two ratios are equal
before solving
proportion
order of operations
unit ratio
25. The result of muliplying two or more numbers
polygon
product
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
factors of the multiplication operation
26. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
improper fraction
Terminating decimal
Multitude
polygon
27. Unit Profit = ?
both integers are positive or both are negative
cross product
base
Sale Price - Unit Cost
28. A ratio that shows the cost per unit of measure
unit ratio
quadrilateral
perimeter
expression
29. Is the agreement of things in Quanity.
vertex (vertices - plural)
complementary angles
Equality
Odd or Non-Int
30. The numerator is greater than - or equal to - the denominator
quadrilateral
Revenue ($) - Cost ($)
improper fraction
Axiom VI.
31. A triangle with one right angle
right triangle
from left to right
denominator
sum
32. Taken together - the multiplicand and multiplier are known as
Axiom VIII.
Number
factor
factors of the multiplication operation
33. No integer (except 1) that divides evenly into both the numerator and denominator.
commutative law of multiplication
A plus sign (+) is used for two entirely different purposes:
reduced fraction
Fractions allow you to plot values between whole numbers and integers.
34. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
equal to 1 divided by that number with a positive exponent
Mathematics
Is zero
Aliquot Part
35. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
fraction or broken number
Is equal to the original value
1
Greater
36. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
scalene triangle
commutative law of multiplication
Whole Numbers
Magnitude
37. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
composite number
order of operations
1
Axiom II.
38. What is the formula forCounting consecutive multiples?
isosceles triangle
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
inverse operations
( (Last - First) / Increment ) + 1
39. By the last letters (u - x - y - etc.)
congruent
Known quantities
right triangle
Axiom IX.
40. The ratio of a number to 100 (per one hundred). The symbol %
percent
order of operations
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
diameter
41. A polygon that has four sides.
Even
Absolute and Relative
quadrilateral
Magnitude at Rest and Magnitude in Motion
42. The horizontal number line of a coordinate graph
multiplicand
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
x-axis
numerator
43. Zero divided by any whole number (except 0)
hexagon
Is zero
Negative-value integers
prism
44. Is equal to the original value. a x 1 = 1
Any value multiplied by one
congruent
right angle
Unit Price x Qty. Sold
45. Signs of grouping may be nested
More
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
referred to Unity in the same way
x-axis
46. A statement that needs to be demonstrated and is called in Latin demonstrandum.
To square an equation to solve it
theorem
Axiom I.
Decreases
47. A number with only two factors: the number itself and one.
parallel lines
mixed number
Known (Given) and Unknown (Sought)
prime number
48. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Terminating decimal
mixed number
ordered pair
Adding negative integers will always produce a negative sum
49. The smallest multiple that two or more numbers have in common
Multitudes and Magnitudes
When the addends have opposite signs one is + and the other is -
least common multiple (LCM)
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
50. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
62.5%
prime factors
probability
Being divided by a power of 10