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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 quadrilateral with two pairs of congruent - parallel sides
parallelogram
isosceles triangle
denominator
mode
2. A polygon that has four sides.
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
quadrilateral
parallel lines
Being divided by a power of 10
3. A solid figure with two congruent and parallel circular bases
cylinder
integer or whole number
Even - Odd or Non-Int
pentagon
4. By the last letters (u - x - y - etc.)
Revenue ($) - Cost ($)
'six cubed'
Computation
Known quantities
5. 1 to any power is equal to
1
divisor
angle
Positive-value integers
6. TotalCost($) = ?
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7. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Converting mixed numbers to improper fractions.
parallelogram
area
8. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
x-coordinate
Magnitude
supplementary angles
farther to the right on the number line.
9. Is equal to the original value. a x 1 = 1
proper fractions
Line Segments
Any value multiplied by one
Axiom V.
10. An angle measuring more than zero degrees and less than 90 degrees
Step 1 of Converting Improper Fractions to Mixed Numbers
Even
multiplicand
acute angle
11. Rules that tell which steps to follow when solving an expression.
prime factorization
order of operations
enclosing the numbers in a pair of vertical lines | |
Change / Original Formula?
12. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
probability
Subtracting Signed Integers
When to use the Heavy Division Shortcut - and how to do it
( (Last - First) / Increment ) + 1
13. In order to understand and use exponents that are fractions or decimals - you must first know about
Positive-value integers
roots of numbers
supplementary angles
Homogenous or Heterogenous
14. 0.625 --> Fraction ?
denominator
5/8
Wage Rate ($ per hr) x Hrs worked
y-axis
15. What is the formula forCounting consecutive integers?
denominator
vertex (vertices - plural)
(Last - First + 1)
Arithmetic - Music - Geometry and Astronomy
16. Profit = ?
Revenue ($) - Cost ($)
Number
parallelogram
To convert any fraction to higher terms
17. The result of dividing one number by another; the solution to a division problem
1
The rule for adding negative integers is the same as the rule for adding positive integers:
quotient
Step 2 of Converting mixed numbers to improper fractions
18. One number is said to be less than (<) another when it is
farther to the left on the number line
Percent Change
prime factorization
vertex (vertices - plural)
19. In a division problem - the number that an amount is divided by
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
divisor
common factor
Even
20. The action of the mind whereby a quantity is measured by Unity or a Unit.
Greater
Sum of Interior Angles of a Polygon: (n - 2) x 180
Computation
integer values
21. Area of a Rhombus is?
A = (D1 x D2) / 2
axiom
Shift DP 2 places left
Subtracting Signed Integers
22. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Evaluating Powers With Negative Exponents
Being divided by a power of 10
rate
Negative-value integers
23. When working with nested signs of grouping
always clear the innermost groups first
Positive-value integers
y-coordinate
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
24. An angle that measures 90 degrees
denominator
improper fraction
prime number
right angle
25. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
When to use fractions
change the operation from subtraction to addition
one is positive and the other is negative
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
26. 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.
Adding negative integers will always produce a negative sum
y-axis
0
vertex (vertices - plural)
27. Cross-multiply
Odd
To find out - easily - if one fraction is bigger than another
proper fraction
integer or whole number
28. The whole is more or greater than its part.
Even
factors of the multiplication operation
Axiom IV.
A = (Base x Height) / 2 - A = (BH)/2
29. The result of the division called the
fraction or broken number
quotient
ratio
congruent
30. A fraction with a numerator that is larger than or equal to its denominator.
Aliquot and Aliquant Parts
sample
improper fraction
range
31. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
rectangle
mixed fraction
Magnitude
Proof
32. 1/2 - 1/3 - 2/3 - -5/8
factor
integers
proper fractions
Every integer between 1 and X - inclusive - must be a factor of X
33. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
Being divided by a power of 10
Subtracting Signed Integers
improper fraction
34. The two kinds of Multitude
1
Absolute and Relative
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
numerator
35. For there to be X unique factors of X - what must be true?
To add integers that have the same sign both positive or both negative:
higher terms
proportion
Every integer between 1 and X - inclusive - must be a factor of X
36. The distance around a circle (the perimeter of a circle).
product
Shift DP 2 places left
proportion
circumference
37. The Only possible factors for a prime number are
factor
The Decimal Numbering System
1 and itself
rate
38. 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.
percent
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
factor
dividing the numerator and denominator by the same number
39. The method for indicating the power of a number
Sum of Interior Angles of a Polygon: (n - 2) x 180
rectangle
The bottom side of the triangle
Power notation
40. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Equal
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
simplify
rate
41. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
2^3 = 8
the Complement of that part to the whole
prime number
1 and itself
42. Even X Even = ? ... and is div. by ?
Even div. by 4
Increases the value.
median
improper fraction
43. To indicate the subtraction operation - to indicate a negative integer value
A minus sign ( - ) is used for two entirely different purposes:
(Last - First + 1)
exactly the same portion
mode
44. An evenly-spaced set is fully-defined if what is known...?
median
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Even
Quantity is expressed
45. A triangle with two equal sides and two equal angles
x-axis
isosceles triangle
Unknown quantities
Wage Rate ($ per hr) x Hrs worked
46. A number with only two factors: the number itself and one.
quotient
Proof
prime number
polygon
47. By the first letters of the alphabet (a - b - c - d - etc..)
radius
integer values
Alternative to the algebraic manipulation method to solving a VIC
Unknown quantities
48. A triangle with one right angle
putting that number over 1
Odd
right triangle
A = (D1 x D2) / 2
49. The Sum of n consecutive integers is divisible by n if n is
Aliquant Part
x = (+-) a
Step 1 of Converting Improper Fractions to Mixed Numbers
Odd
50. A value such as 6^3 can described as
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