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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. An evenly-spaced set is fully-defined if what is known...?
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
area
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Axiom VI.
2. What are the 3 main formulaic properties of evenly-spaced sets?
angle
Odd
Axiom I.
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
3. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
absolute value
fraction or broken number
Even div. by 4
Even
4. Multiply both the numerator and denominator by the same integer value.
Unit Price x Qty. Sold
To convert any fraction to higher terms
putting that number over 1
Even
5. 0 to any power is equal to
0
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
x-axis
Wage Rate ($ per hr) x Hrs worked
6. A Polygon is a closed shape formed by
Line Segments
2
factoring
Both
7. The study of quantity
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
one is positive and the other is negative
Mathematics
factor
8. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
rhombus
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
median
radius
9. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
(Last - First + 1)
prism
Decreases
prism
10. 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
The Ratio of Any two of the following: Original - Change and New
( (Last - First) / Increment ) + 1
There are two parts in the procedure for subtracting signed integers:
before solving
11. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
probability
polygon
The concept of trading decimal places and how it works
Percent Decrease Formula
12. The sum of a group of numbers divided by the number of numbers; also known as the average
dividing the numerator and denominator by the same number
diameter
mean
parallelogram
13. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
enclosing the numbers in a pair of vertical lines | |
A = (Base x Height) / 2 - A = (BH)/2
Relative multitude
Every integer between 1 and X - inclusive - must be a factor of X
14. The two kinds of Quantity are
composite number
Multitudes and Magnitudes
reduced fraction
To add integers that have opposite signs:
15. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
Odd
Wage Rate ($ per hr) x Hrs worked
cubed
16. A fraction with a numerator that is larger than or equal to its denominator.
octagon
mode
improper fraction
A plus sign (+) is used for two entirely different purposes:
17. By the last letters (u - x - y - etc.)
Whole Numbers
Some integer/Some Power of 10
Known quantities
Always completed first
18. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
factor
proportion
lowest terms
Sale Price - Unit Cost
19. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Reducing by the Largest Common Factor (LCF)
Axiom X.
Even or Non-Int
20. The largest single factor for two or more numbers.
isosceles triangle
exactly the same portion
greatest common factor (GCF)
Percent Change
21. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
parallel lines
lowest terms
Odd
22. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
proper fraction
Odd or Non-Int
Different Units
fraction or broken number
23. The largest integer that can be divided evenly into both the numerator and denominator.
To add integers that have the same sign both positive or both negative:
contains only a single number
Reducing by the Largest Common Factor (LCF)
y-coordinate
24. Area of a Rhombus is?
numerator
A minus sign ( - ) is used for two entirely different purposes:
y-coordinate
A = (D1 x D2) / 2
25. Any whole number can be expressed in terms of the
scalene triangle
Wage Rate ($ per hr) x Hrs worked
Quantity is expressed
product
26. An eight-sided polygon
greatest common factor (GCF)
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?
octagon
To add integers that have the same sign both positive or both negative:
27. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
integer or whole number
composite number
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
mixed fractions
28. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Step 2 of Converting Improper Fractions to Mixed Numbers
product
A = (D1 x D2) / 2
Odd
29. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Axiom X.
Sum of Interior Angles of a Polygon: (n - 2) x 180
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Carry the 10's digit of the product to the top of the 10's column of factors.
30. 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.
vertex (vertices - plural)
Absolute and Relative
acute angle
Axiom III.
31. Method: convert Percent to Decimal?
product
Shift DP 2 places left
commutative law of multiplication
Subtracting Signed Integers
32. Reversed position or direction
proper fraction
rectangle
inverse
median
33. The vertical number line of a coordinate graph
When to use fractions
Even div. by 4
Axiom VIII.
y-axis
34. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
farther to the right on the number line.
median
Axiom X.
Decimals/Percents
35. Always try to Factor a quadratic equation
before solving
x/100
fraction or broken number
absolute value
36. A number that is a factor of two or more numbers.
common factor
mixed number
integers
scalene triangle
37. A number that is a multiple of all denominators in a problem.
Inserting a zero at the right end of a whole number
expression
angle
common denominator
38. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
Step 2 of Converting Improper Fractions to Mixed Numbers
similar figures
Converting Improper Fractions to Mixed Numbers
39. A value such as 6^3 can described as
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40. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
x/100
y-coordinate
The rule for adding negative integers is the same as the rule for adding positive integers:
When numbers do not divide evenly
41. A triangle that has three equal sides and three equal angles
The sum of all the integers from 20 to 100 - inclusive
equilateral triangle
Odd or Non-Int
Reducing by the Largest Common Factor (LCF)
42. The greater any number is in comparison to another - the more equal parts will it contain of that other.
mode
parallelogram
Axiom IX.
commutative law of multiplication
43. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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44. Things are Equal in Magnitude when they are
base
factoring
congruent
referred to the same Unit
45. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger 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.
To add integers that have opposite signs:
The Decimal Numbering System
x-axis
46. The total of two or more numbers being added
'six cubed'
When to use the Heavy Division Shortcut - and how to do it
sum
axiom
47. A collection of things taken as a Unity. A bushel of wheat is a whole.
To square an equation to solve it
Computation
Reducing: The Brute-Force Method
Whole
48. One of those primes must be the number __ ?
A sum of 2 primes is Odd
exponent
Step 1 of Converting mixed numbers to improper fractions
The height of a triangle
49. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
proportion
pyramid
Unit Price x Qty. Sold
50. An equation stating that two ratios are equal
y-coordinate
Different Units
proportion
proper fraction