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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. Is equal to the original value. a x 1 = 1
Terminating decimal
Any value multiplied by one
product
Reducing fractions
2. In a group of values - the value that occurs most often.
Carry the 10's digit of the product to the top of the 10's column of factors.
sum
The Decimal Numbering System
mode
3. The result of dividing one number by another; the solution to a division problem
pi
Even
Odd
quotient
4. The numerator is smaller than the denominator
Change + - Original = New
Adding negative integers will always produce a negative sum
proper fraction
Axiom X.
5. The total of two or more numbers being added
To find out - easily - if one fraction is bigger than another
numerator
UnitPrice ($/unit) x Qty.Purchas'd (units)
sum
6. A combination of numbers and variables connected by one or more operations signs
trapezoid
expression
sample
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
7. Total Earnings ($) = ?
proper fraction
octagon
Wage Rate ($ per hr) x Hrs worked
hexagon
8. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
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
A sum of 2 primes is Odd
Axiom VI.
supplementary angles
9. 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.
ratio
vertex (vertices - plural)
both integers are positive or both are negative
Unit Cost + Markup
10. The horizontal number line of a coordinate graph
x-axis
parallel lines
Homogenous or Heterogenous
area
11. A polygon with five sides
pentagon
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.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Axiom IV.
12. A sign of grouping can be omitted when it
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
contains only a single number
1
Number Systems
13. Taken together - the multiplicand and multiplier are known as
supplementary angles
product
factors of the multiplication operation
Increases the value.
14. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
area
Wage Rate ($ per hr) x Hrs worked
15. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
More
Terminating decimal
0.625
16. Things are Equal in Multitude when they are
referred to Unity in the same way
Whole
area
farther to the left on the number line
17. Lines in the same plane that do not intersect. The symbol //
parallel lines
Zero (0)
Subtracting Signed Integers
mean
18. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Fractions allow you to plot values between whole numbers and integers.
A plus sign (+) is used for two entirely different purposes:
Sale Price - Unit Cost
19. Any number with a negative exponent
farther to the right on the number line.
equal to 1 divided by that number with a positive exponent
Inserting a zero at the left end of a whole number
A sum of 2 primes is Odd
20. The vertical number line of a coordinate graph
2^3 = 8
scale drawing
y-axis
x-coordinate
21. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
mixed number
0
acute angle
Terminating decimal
22. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
parallelogram
similar figures
area
complementary angles
23. The result of the multiplication is called the
right triangle
product
contains only a single number
1
24. The difference between the least and greatest values in a set of numbers
reciprocal
x-axis
range
Even and Odd
25. The formula for the Area of a Rhombus is?
x-axis
A = (Diagonal1 x Diagonal2) / 2
1
Unit Cost + Markup
26. 'y percent less than' = ?
product
Every integer between 1 and X - inclusive - must be a factor of X
1 - (y/100)
Inserting a zero at the left end of a whole number
27. Signs of grouping may be nested
Mathematics
Odd
proper fraction
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
28. Things are Equal in Magnitude when they are
Always completed first
To add integers that have the same sign both positive or both negative:
referred to the same Unit
range
29. Every quantity is equal to itself.
ratio
Reducing fractions
acute angle
Axiom II.
30. A fraction with all common factors (other than 1) factored out of the numerator and denominator
area
lowest terms
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
factor
31. A number with only two factors: the number itself and one.
Original x (1 - x/100) = New
Percent Change
2 and/or 5 only
prime number
32. Whole is equal in Multitude to a Part of the other.
mixed number
Equal
absolute value
prime number
33. The number to be multiplied by is called the
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
polygon
multiplier
acute angle
34. Has no sign value
multiplier
composite number
Zero (0)
theorem
35. The terms Species and Number
mean
pentagon
Quantity is expressed
perimeter
36. The method for indicating the power of a number
Axiom VIII.
Homogenous or Heterogenous
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Power notation
37. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Decimals/Percents
improper fraction
To add integers that have the same sign both positive or both negative:
Number Systems
38. The ratio of a number to 100 (per one hundred). The symbol %
percent
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
integer values
composite number
39. The result of muliplying two or more numbers
always clear the innermost groups first
Absolute and Relative
product
x-coordinate
40. The action of the mind whereby a quantity is measured by Unity or a Unit.
Zero (0)
Computation
commutative law of multiplication
lowest terms
41. An equation stating that two ratios are equal
Aliquot and Aliquant Parts
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
proportion
change the operation from subtraction to addition
42. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
right triangle
contains only a single number
x = (+-) a
( (Last - First) / Increment ) + 1
43. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
When to use the Heavy Division Shortcut - and how to do it
cylinder
hexagon
44. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
lowest terms
Even
When to use fractions
dividend
45. Expresses fractional parts that are greater than 1.
mixed number
farther to the right on the number line.
equal to itself.
One... the number 2
46. Percent Decrease Formula ?
0.625
Original x (1 - x/100) = New
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
factoring
47. Cross-multiply
To find out - easily - if one fraction is bigger than another
lowest terms
Percent Decrease Formula
one is positive and the other is negative
48. Total Earnings ($) = ?
inverse operations
Magnitude at Rest and Magnitude in Motion
Wage Rate ($ per hr) x Hrs worked
Negative-value integers
49. Always try to Factor a quadratic equation
Different Units
integer values
before solving
Revenue ($) - Cost ($)
50. Any whole number can be expressed in terms of the
product
Odd
Odd or Non-Int
Odd