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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 collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
denominator
The sum of all the integers from 20 to 100 - inclusive
2
2. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
median
ratio
angle
factor
3. Indicates the number to be multiplied
fraction or broken number
complementary angles
UnitPrice ($/unit) x Qty.Purchas'd (units)
base
4. One of those primes must be the number __ ?
(Last - First + 1)
A sum of 2 primes is Odd
Reducing: The Brute-Force Method
mode
5. A number with an exponent of 3 is often said to be
cubed
percent
Wage Rate ($ per hr) x Hrs worked
farther to the left on the number line
6. A triangle that has three equal sides and three equal angles
axiom
polygon
mean
equilateral triangle
7. An angle that measures 90 degrees
multiplier
right angle
acute angle
Relative multitude
8. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
Even div. by 4
The concept of trading decimal places and how it works
multiplicand
9. The two kinds of Quantity are
Even - Odd or Non-Int
Axiom X.
common denominator
Multitudes and Magnitudes
10. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
Sum of Interior Angles of a Polygon: (n - 2) x 180
To add integers that have the same sign (both positive or both negative):
exponent
11. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
The Decimal Numbering System
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?
ratio
The Ratio of Any two of the following: Original - Change and New
12. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
Multitudes and Magnitudes
factor
Shift DP 2 places right
13. 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
order of operations
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
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?
14. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
To add integers that have opposite signs:
Odd
Unity - or a Unit
Reducing: The Brute-Force Method
15. Percent Decrease Formula ?
angle
The Ratio of Any two of the following: Original - Change and New
Original x (1 - x/100) = New
Original + Change = New Change/Original = Percent Change
16. 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
Negative-value integers
quadrilateral
Axiom IV.
equivalent
17. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Number Systems
To make sure to solve for Both cases.
1
Homogenous or Heterogenous
18. In a group of values - the value that occurs most often.
difference
mode
Both
perimeter
19. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
order of operations
Equality
Converting mixed numbers to improper fractions.
20. An eight-sided polygon
When to use the Heavy Division Shortcut - and how to do it
octagon
The bottom side of the triangle
squared
21. A comparison of the two values of two numbers
ratio
dividend
Composite number
When the addends have the same sign both + or both -
22. A polygon with six sides.
y-axis
hexagon
When the addends have opposite signs one is + and the other is -
isosceles triangle
23. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
percent
Multitudes and Magnitudes
Same units
24. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
dividend
circumference
roots of numbers
25. 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
pi
When to use the Heavy Division Shortcut - and how to do it
referred to the same Unit
trapezoid
26. What are the only prime factors that a fraction resulting in a terminating decimals have?
pyramid
Number Systems
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
2 and/or 5 only
27. When the product in the 1's column is greater than 9
28. Factors may be multiplied in any order.
mixed number
numerator
Mathematics
commutative law of multiplication
29. What is the formula for: The Area of a Triangle ?
absolute value
Whole
Zero (0)
A = (Base x Height) / 2 - A = (BH)/2
30. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
A plus sign (+) is used for two entirely different purposes:
Subtracting Signed Integers
probability
The concept of trading decimal places and how it works
31. Total Sales or Revenue = ?
mean
Unit Price x Qty. Sold
( (Last - First) / Increment ) + 1
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.
32. A mirror image of a figure shown over a line of reflection
To convert any fraction to higher terms
quadrilateral
reflection
sum
33. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Reducing: The Brute-Force Method
integer or whole number
Positive-value integers
rectangle
34. In order to understand and use exponents that are fractions or decimals - you must first know about
similar figures
Greater
one is positive and the other is negative
roots of numbers
35. The denominator of the fraction part of the mixed number is
the denominator of the original improper fraction
Axiom V.
Carry the 10's digit of the product to the top of the 10's column of factors.
composite number
36. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Even
scale drawing
squared
Inserting a zero at the left end of a whole number
37. Taken together - the multiplicand and multiplier are known as
hexagon
pyramid
product
factors of the multiplication operation
38. When working with nested signs of grouping
When numbers do not divide evenly
Inserting a zero at the right end of a whole number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
always clear the innermost groups first
39. All whole numbers (both positive and negative) and zero.
quotient
Axiom IV.
y-coordinate
integers
40. A parallelogram with four right angles
Odd
Is zero
Original x (1 - x/100) = New
rectangle
41. Adding integers that have opposite signs means
Magnitude
Inequality
one is positive and the other is negative
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
42. A value such as 6^3 can described as
43. The terms Species and Number
Quantity is expressed
Evaluating Powers With Negative Exponents
x/100
Species
44. Quantities which are both equal to one and the same third are equal to one another.
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.
polygon
mode
Axiom III.
45. What are the rules for picking numbers in VICS?
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
lowest terms
Aliquot and Aliquant Parts
exactly the same portion
46. Rules that tell which steps to follow when solving an expression
order of operations
Unity - or a Unit
The Ratio of Any two of the following: Original - Change and New
The concept of trading decimal places and how it works
47. The process of breaking a number down into its factors is called
Decreases
factoring
Inserting a zero at the left end of a whole number
parallelogram
48. Two angles whose sum equals 90 degrees
exponent
lowercase Variables
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
complementary angle
49. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
straight angle
When the addends have opposite signs one is + and the other is -
multiplicand
50. The sum of a group of numbers divided by the number of numbers. Also known as the average.
simplify
mean
fraction or broken number
common factor