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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 horizontal number line of a coordinate graph
vertex (vertices - plural)
Greater
sample
x-axis
2. The four Mathematical arts are:
Power notation
Arithmetic - Music - Geometry and Astronomy
Aliquot Part
radius
3. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Odd
improper fraction
inverse
Unit Price x Qty. Sold
4. The process of breaking a number down into its factors is called
Odd
Even
factoring
improper fraction
5. The amount that remains after one number has been subtracted from another
difference
Axiom VII.
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
6. If 2 numbers are OPPOSITES of each other
quotient
common factor
radius
they have the same absolute value
7. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
theorem
To add integers that have the same sign both positive or both negative:
1 and itself
8. 3 ways to solve an absolute value inequality
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
greatest common factor (GCF)
2
Quantity
9. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
prism
quotient
Revenue ($) - Cost ($)
10. When will a decimal terminate and why?
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Always completed first
radius
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
11. Species and Number may be
Homogenous or Heterogenous
mean
A minus sign ( - ) is used for two entirely different purposes:
Whole Numbers
12. A self-evident statement - that is - one that does not need to be demonstrated.
Original + Change = New Change/Original = Percent Change
axiom
Always completed first
like fractions
13. A mathematical sentence that uses an equal sign
factor
exponent
equation
referred to the same Unit
14. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
improper fractions
quadrilateral
Step 2 of Converting Improper Fractions to Mixed Numbers
Even - Odd or Non-Int
15. A parallelogram with all sides equal and congruent
How the Last Digit Shortcut works
rhombus
proper fraction
Even
16. Expresses fractional parts that are greater than 1.
y-coordinate
mixed number
1 and itself
equal to 1
17. 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 minus sign ( - ) is used for two entirely different purposes:
When to use fractions
order of operations
y-coordinate
18. All whole numbers (both positive and negative) and zero.
integers
expression
they have the same absolute value
base
19. An angle measuing more than 0 degrees and less than 90 degrees
Original x (1 - x/100) = New
exponent
quadrilateral
acute angle
20. The terms Species and Number
Quantity is expressed
polygon
To add integers that have the same sign both positive or both negative:
Odd
21. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
improper fractions
referred to Unity in the same way
quotient
To add integers that have the same sign (both positive or both negative):
22. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
'six cubed'
Long Division
pi
Odd
23. Two angles whose sum equals 90 degrees
straight angle
mode
complementary angle
A minus sign ( - ) is used for two entirely different purposes:
24. The number to be multiplied by is called the
When numbers do not divide evenly
Axiom I.
When the addends have opposite signs one is + and the other is -
multiplier
25. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
commutative law of multiplication
x-coordinate
mixed fractions
absolute value
26. The study of quantity
unit ratio
Shift DP 2 places right
Mathematics
Even
27. 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.
product
reciprocal
Equal
Converting mixed numbers to improper fractions.
28. A solid figure with two congruent and parallel circular bases
cylinder
Magnitude at Rest and Magnitude in Motion
Step 1 of Converting Improper Fractions to Mixed Numbers
circumference
29. A whole number can be expressed as an improper fraction by
Wage Rate ($ per hr) x Hrs worked
putting that number over 1
supplementary angles
Converting mixed numbers to improper fractions.
30. 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.
Number
Different Units
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Same units
31. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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32. Includes an integer as well as a fractional part
contains only a single number
rectangle
When to use fractions
mixed fraction
33. 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
parallel lines
Same units
Revenue ($) - Cost ($)
Step 2 of Converting Improper Fractions to Mixed Numbers
34. The whole is more or greater than its part.
Any value multiplied by one
Revenue ($) - Cost ($)
Axiom IV.
More
35. Adding integers that have the same sign means
Being divided by a power of 10
both integers are positive or both are negative
rectangle
fraction or broken number
36. The ratio of a number to 100 (per one hundred). The symbol %
percent
Number
before solving
0
37. When working with nested signs of grouping
always clear the innermost groups first
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Even div. by 4
5/8
38. A triangle that has three equal sides and three equal angles
equilateral triangle
reduced fraction
referred to the same Unit
median
39. 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
parallelogram
diameter
2^3 = 8
A = (D1 x D2) / 2
40. Is the disagreement of things in Quantity.
congruent
Odd
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Inequality
41. An eight-sided polygon
denominator
Fractions allow you to plot values between whole numbers and integers.
octagon
prime factorization
42. The Sum of n consecutive integers is Not divisible by n if n is
Even
Fractions allow you to plot values between whole numbers and integers.
Equal
Inserting a zero at the right end of a whole number
43. A value such as 6^3 can described as
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44. Species are distinguished into
Known (Given) and Unknown (Sought)
product
multiplier
sample
45. Adding integers that have opposite signs means
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
divisor
one is positive and the other is negative
46. Change + - Original = New
Change / Original Formula?
Axiom IV.
multiplicand
the Complement of that part to the whole
47. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
rectangle
proper fraction
Number
Wage Rate ($ per hr) x Hrs worked
48. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
percent
contains only a single number
Equality
Aliquant Part
49. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
ordered pair
The bottom side of the triangle
1 - (y/100)
Axiom X.
50. Factors may be multiplied in any order.
commutative law of multiplication
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
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
they have the same absolute value