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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. What is the formula forCounting consecutive multiples?
y-axis
Converting Improper Fractions to Mixed Numbers
square root
( (Last - First) / Increment ) + 1
2. The ratio of a number to 100 (per one hundred); the symbol %
Revenue ($) - Cost ($)
radius
inverse operations
percent
3. A number that is not a prime number is called a
Reducing fractions
composite number
polygon
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
4. A triangle with two equal sides and two equal angles
lowest terms
scale drawing
isosceles triangle
quotient
5. An equation stating that two ratios are equal
Being divided by a power of 10
median
Subtracting Signed Integers
proportion
6. The exact procedure for adding signed integers depends upon
change the operation from subtraction to addition
product
whether the addends have the same sign or opposite signs
diameter
7. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Axiom X.
cross product
Number
8. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
prime number
To find out - easily - if one fraction is bigger than another
1 - (y/100)
9. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
equation
absolute value
To add integers that have opposite signs:
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
10. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
mode
complementary angle
reciprocal
exponent
11. Is the disagreement of things in Quantity.
integer or whole number
Inequality
Equal
lowercase Variables
12. What is the formula forCounting consecutive integers?
quotient
supplementary angles
Any value multiplied by one
(Last - First + 1)
13. Species of Quantities are signified by
lowercase letters
Being divided by a power of 10
1 - (y/100)
lowest terms
14. 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.
Inequality
The concept of trading decimal places and how it works
isosceles triangle
2 and/or 5 only
15. The result of muliplying two or more numbers
Unknown quantities
product
Odd
reflection
16. The horizontal number line of a coordinate graph
'five squared'
x-axis
Is equal to the original value
Odd or Non-Int
17. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x = (+-) a
expression
x/100
Multitude
18. The difference between the least and greatest values in a set of numbers
Number Systems
Adding negative integers will always produce a negative sum
range
multiplier
19. What are the 3 main formulaic properties of evenly-spaced sets?
equal to itself.
Inserting a zero at the right end of a whole number
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
common factor
20. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
prism
the Complement of that part to the whole
mixed fractions
'five squared'
21. 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.
median
Any value multiplied by one
integer or whole number
Converting mixed numbers to improper fractions.
22. The terms Species and Number
like fractions
Quantity is expressed
complementary angles
mixed number
23. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Whole Numbers
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?
change the operation from subtraction to addition
quadrilateral
24. Two angles whose sum equals 90 degrees.
referred to Unity in the same way
The Decimal Numbering System
complementary angles
Unit Price x Qty. Sold
25. Surface space that is measured in square units.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
area
0.625
x-coordinate
26. The distance around a figure
octagon
vertex (vertices - plural)
Even
perimeter
27. The distance around a circle (the perimeter of a circle)
Even
Odd or Non-Int
circumference
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
28. Every lesser number is contained in a greater more than once.
parallelogram
Axiom VIII.
Known quantities
Increases the value.
29. A comparison of the two values of two numbers
mixed fractions
Long Division
proper fraction
ratio
30. ' x percent' = ?
x/100
Every integer between 1 and X - inclusive - must be a factor of X
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
probability
31. 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.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
To add integers that have opposite signs:
Long Division
Line Segments
32. What is the increment of a set of consecutive integers?
rectangle
angle
1
Step 1 of Converting Improper Fractions to Mixed Numbers
33. All whole numbers (both positive and negative) and zero.
Axiom III.
rectangle
divisor
integers
34. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
pi
Even - Odd or Non-Int
1
Unit Price x Qty. Sold
35. The denominator of the fraction part of the mixed number is
A plus sign (+) is used for two entirely different purposes:
the denominator of the original improper fraction
x-axis
x = (+-) a
36. Reversed position or direction
Odd
Greater
inverse
right triangle
37. Original x (1 - x/100) = New
Percent Decrease Formula
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?
integers
proportion
38. A mirror image of a figure shown over a line of reflection
Axiom VI.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
reflection
equal to itself.
39. The two kinds of Multitude
vertex (vertices - plural)
angle
Absolute and Relative
2
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.
The height of a triangle
Multitude
parallelogram
y-coordinate
41. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
higher terms
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
both integers are positive or both are negative
Original + Change = New Change/Original = Percent Change
42. The distance around a circle (the perimeter of a circle).
Aliquant Part
cylinder
quotient
circumference
43. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
sample
rhombus
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
Composite number
44. Odd x ? = Even
Even
Multitudes and Magnitudes
Odd or Non-Int
Long Division
45. Always perform the operations
quadrilateral
Mathematics
from left to right
base
46. No integer (except 1) that divides evenly into both the numerator and denominator.
combination of addition and subtraction
scalene triangle
The height of a triangle
reduced fraction
47. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
Number Systems
A = (Base x Height) / 2 - A = (BH)/2
48. A ratio that compares two different types of quantities
cubed
rate
A minus sign ( - ) is used for two entirely different purposes:
Odd or Non-Int
49. The largest integer that can be divided evenly into both the numerator and denominator.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
when there are explicit or implicit equations in the problem:
Reducing by the Largest Common Factor (LCF)
To add integers that have opposite signs:
50. Area of a Rhombus is?
prime factors
equal to 1
Axiom III.
A = (D1 x D2) / 2