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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 two kinds of Multitude
When the addends have opposite signs one is + and the other is -
the Complement of that part to the whole
Absolute and Relative
2 and/or 5 only
2. Every number is contained in itself once.
x-axis
scalene triangle
Axiom VII.
Non-Int
3. The distance around a figure.
ratio
perimeter
( (Last - First) / Increment ) + 1
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
4. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
enclosing the numbers in a pair of vertical lines | |
prime factors
Even
5. The numerator of the fraction part of the mixed number is the remainder from the
quotient
The Ratio of Any two of the following: Original - Change and New
right triangle
multiplier
6. An equation stating that two ratios are equal
proportion
integers
radius
before solving
7. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
A sum of 2 primes is Odd
multiplicand
y-axis
y-coordinate
8. An angle that measures 90 degrees
right angle
integer or whole number
ordered pair
Converting Improper Fractions to Mixed Numbers
9. A number that is a multiple of all denominators in a problem.
2 and/or 5 only
Axiom VIII.
common denominator
quotient
10. Every lesser number is contained in a greater more than once.
quotient
Axiom VII.
lowest terms
Axiom VIII.
11. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
product
octagon
Both
12. A value that combines a whole number and a fractional amount
Decreases
mixed number
(Last - First + 1)
Unit Price x Qty. Sold
13. Part of the population that is studied to find the characteristics of the whole population.
sample
mean
Shift DP 2 places right
Magnitude
14. A parallelogram with four right angles
rectangle
Homogenous or Heterogenous
sample
pyramid
15. Things are Equal in Multitude when they are
x-axis
reduced fraction
referred to Unity in the same way
order of operations
16. A number with an exponent of 2 is often said to be
squared
proper fraction
Reducing fractions
A = (Diagonal1 x Diagonal2) / 2
17. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
product
Step 1 of Converting mixed numbers to improper fractions
whether the addends have the same sign or opposite signs
theorem
18. Breaking down a composite number until all of the factors are prime
lowest terms
straight angle
prime factorization
common denominator
19. The distance around a circle (the perimeter of a circle)
farther to the left on the number line
circumference
pentagon
hexagon
20. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Even
To make sure to solve for Both cases.
A = (Diagonal1 x Diagonal2) / 2
To add integers that have opposite signs:
21. Species are distinguished into
product
Known (Given) and Unknown (Sought)
(Last - First + 1)
x = (+-) a
22. 0.625 --> Fraction ?
5/8
Converting mixed numbers to improper fractions.
prime number
When to use the Heavy Division Shortcut - and how to do it
23. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
x-coordinate
polygon
Number
24. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
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.
To square an equation to solve it
common denominator
25. Has no sign value
Zero (0)
putting that number over 1
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
When to use fractions
26. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
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
Sum of Interior Angles of a Polygon: (n - 2) x 180
diameter
Even
27. Total Earnings ($) = ?
quotient
supplementary angles
Wage Rate ($ per hr) x Hrs worked
scale drawing
28. A number that is a factor of two or more numbers.
The sum of all the integers from 20 to 100 - inclusive
common factor
pyramid
Whole Numbers
29. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
1
greatest common factor (GCF)
Even
cross product
30. What is the formula forCounting consecutive multiples?
0.625
enclosing the numbers in a pair of vertical lines | |
( (Last - First) / Increment ) + 1
Is zero
31. 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.
common factor
product
1 and itself
composite number
32. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
axiom
cylinder
prime factorization
33. A mirror image of a figure shown over a line of reflection
proper fraction
reflection
Whole Numbers
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
34. The largest single factor for two or more numbers.
Sum of Interior Angles of a Polygon: (n - 2) x 180
greatest common factor (GCF)
Quantity
To square an equation to solve it
35. 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').
The concept of trading decimal places and how it works
right triangle
Whole Numbers
1
36. An evenly-spaced set is fully-defined if what is known...?
0
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
A = (Diagonal1 x Diagonal2) / 2
Some integer/Some Power of 10
37. In a group of values - the value that occurs most often
mode
mixed number
Whole
Axiom IX.
38. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Original x (1 - x/100) = New
Being divided by a power of 10
Whole
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
39. The result of the division called the
quotient
'six cubed'
Odd
improper fractions
40. The distance around a circle (the perimeter of a circle).
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.
lowest terms
circumference
x-coordinate
41. Method: convert Decimal to Percent?
Shift DP 2 places right
Axiom IX.
2^3 = 8
Aliquot Part
42. The whole-number system uses only ten characters -0 through 9.
axiom
x-axis
percent
The Decimal Numbering System
43. Are those things collected in a whole.
combination of addition and subtraction
range
Axiom IV.
Parts
44. 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.
putting that number over 1
A minus sign ( - ) is used for two entirely different purposes:
Different Units
To square an equation to solve it
45. The number being divided is called the
Adding negative integers will always produce a negative sum
Step 2 of Converting Improper Fractions to Mixed Numbers
dividend
diameter
46. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Shift DP 2 places right
Number
Even or Non-Int
47. When working with nested signs of grouping
simplify
Step 1 of Converting Improper Fractions to Mixed Numbers
right triangle
always clear the innermost groups first
48. The study of quantity
2^3 = 8
prism
the same point on the number line
Mathematics
49. For there to be X unique factors of X - what must be true?
roots of numbers
both integers are positive or both are negative
Every integer between 1 and X - inclusive - must be a factor of X
Odd
50. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
Arithmetic - Music - Geometry and Astronomy
A plus sign (+) is used for two entirely different purposes:
perimeter
absolute value