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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
polygon
Is zero
mixed number
2. The action of the mind whereby a quantity is measured by Unity or a Unit.
A minus sign ( - ) is used for two entirely different purposes:
Magnitude at Rest and Magnitude in Motion
Computation
theorem
3. Breaking down a composite number until all of the factors are prime
Whole Numbers
Unit Cost + Markup
referred to Unity in the same way
prime factorization
4. Every number is contained in itself once.
reduced fraction
To add integers that have the same sign (both positive or both negative):
Axiom VII.
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
5. Change / Original Formula
circumference
vertex (vertices - plural)
Equality
Change + - Original = New
6. Having the same size and shape
congruent
perimeter
Some integer/Some Power of 10
divisor
7. Whole is equal in Multitude to a Part of the other.
improper fraction
Wage Rate ($ per hr) x Hrs worked
trapezoid
Equal
8. Includes an integer as well as a fractional part
Different Units
hexagon
roots of numbers
mixed number
9. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
y-coordinate
5/8
Odd or Non-Int
10. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
enclosing the numbers in a pair of vertical lines | |
When to use the Heavy Division Shortcut - and how to do it
denominator
x-axis
11. The two kinds of Multitude
Absolute and Relative
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
Magnitude at Rest and Magnitude in Motion
circumference
12. The upper number in a fraction is the
least common multiple (LCM)
When the addends have opposite signs one is + and the other is -
straight angle
numerator
13. A number with an exponent of 3 is often said to be
cubed
To convert any fraction to higher terms
Change + - Original = New
prism
14. To indicate the subtraction operation - to indicate a negative integer value
A minus sign ( - ) is used for two entirely different purposes:
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
axiom
Magnitude
15. 3 ways to solve an absolute value inequality
A sum of 2 primes is Odd
Shift DP 2 places right
2 and/or 5 only
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
16. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
composite number
Is equal to the original value
change the operation from subtraction to addition
congruent
17. The figure formed when two rays meet at a common endpoint called a vertex.
To find out - easily - if one fraction is bigger than another
angle
proper fraction
Being divided by a power of 10
18. The distance around a circle (the perimeter of a circle)
Multitudes and Magnitudes
theorem
quadrant
circumference
19. Odd +/- ____ = Odd
x-axis
range
When you are absolutely sure the variable or expression <> 0
Even
20. A triangle that has three equal sides and three equal angles
greatest common factor (GCF)
putting that number over 1
equilateral triangle
exponent
21. A number with only two factors: the number itself and one.
prime number
Absolute and Relative
Proof
( (Last - First) / Increment ) + 1
22. 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.
perimeter
Subtracting Signed Integers
The Decimal Numbering System
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
23. A polygon with six sides.
x/100
hexagon
whether the addends have the same sign or opposite signs
reduced fraction
24. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
1
percent
cross product
y-coordinate
25. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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on line
183
26. The process of breaking a number down into its factors is called
( (Last - First) / Increment ) + 1
factoring
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Converting mixed numbers to improper fractions.
27. The study of quantity
area
Mathematics
When numbers do not divide evenly
perimeter
28. Has no sign value
Zero (0)
The Decimal Numbering System
order of operations
Axiom III.
29. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
The concept of trading decimal places and how it works
ratio
Change / Original Formula?
scale drawing
30. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
from left to right
Step 1 of Converting Improper Fractions to Mixed Numbers
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
fraction or broken number
31. Is equal to zero. 0 x a = 0
mode
Zero multiplied by any value
congruent
hexagon
32. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
Different Units
dividend
Alternative to the algebraic manipulation method to solving a VIC
33. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
Odd
Arithmetic - Music - Geometry and Astronomy
Even and Odd
34. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
rhombus
Decreases
integer values
obtuse angle
35. A combination of numbers and variables connected by one or more operations signs
expression
Decimals/Percents
integer values
improper fraction
36. A number that is not a prime number is called a
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?
Positive-value integers
composite number
Decimals/Percents
37. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Axiom II.
Even and Odd
1
congruent
38. A ratio that shows the cost per unit of measure
unit ratio
Change + - Original = New
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.
cylinder
39. 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 intege
product
Even
There are two parts in the procedure for subtracting signed integers:
angle
40. A value that combines a whole number and a fractional amount
mixed number
Being divided by a power of 10
Even
Even
41. 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
greatest common factor (GCF)
Negative-value integers
lowest terms
octagon
42. A polygon that has four sides.
To add integers that have opposite signs:
quadrilateral
Odd
Even and Odd
43. Any number with an exponent of 0
equal to 1
Even
Odd
proportion
44. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Unit Price x Qty. Sold
Odd
x-axis
Magnitude
45. The difference between the least and greatest values in a set of numbers
contains only a single number
factoring
multiplicand
range
46. Part of the population that is studied to find the characteristics of the whole population.
sample
diameter
Alternative to the algebraic manipulation method to solving a VIC
prism
47. Change/Original = New
Percent Change
When to use fractions
lowercase Variables
Different Units
48. A mathematical sentence that uses an equal sign
Even
equation
proper fraction
congruent
49. An angle measuring more than zero degrees and less than 90 degrees
Terminating decimal
proportion
numerator
acute angle
50. The Sum of n consecutive integers is divisible by n if n is
radius
quadrilateral
cylinder
Odd
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