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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 number that is not a prime number is called a
Multitudes and Magnitudes
farther to the left on the number line
Even div. by 4
composite number
2. The numerator of the fraction part of the mixed number is the remainder from the
Even
Aliquot and Aliquant Parts
exponent
quotient
3. Species are distinguished into
Known (Given) and Unknown (Sought)
To find out - easily - if one fraction is bigger than another
The sum of all the integers from 20 to 100 - inclusive
Revenue ($) - Cost ($)
4. 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.
farther to the right on the number line.
numerator
The concept of trading decimal places and how it works
Whole
5. An evenly-spaced set is fully-defined if what is known...?
putting that number over 1
Relative multitude
complementary angles
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
6. Change / Original Formula
referred to Unity in the same way
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
The Ratio of Any two of the following: Original - Change and New
Change + - Original = New
7. The study of quantity
Mathematics
proportion
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
Homogenous or Heterogenous
8. Percent Decrease Formula ?
radius
roots of numbers
Original x (1 - x/100) = New
To add integers that have opposite signs:
9. A quadrilateral with two pairs of congruent - parallel sides
proportion
parallelogram
factors of the multiplication operation
One... the number 2
10. Odd +/- ____ = Odd
Known quantities
pyramid
Even
divisor
11. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Axiom V.
When the addends have the same sign both + or both -
perimeter
UnitPrice ($/unit) x Qty.Purchas'd (units)
12. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
octagon
Reducing: The Brute-Force Method
1
Any value multiplied by one
13. In a group of values - the value that occurs most often
mode
More
prime number
Sale Price - Unit Cost
14. Two angles whose sum equals 90 degrees
Step 1 of Converting Improper Fractions to Mixed Numbers
complementary angle
2
Odd
15. What is the formula for: The Area of a Triangle ?
polygon
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
A = (Base x Height) / 2 - A = (BH)/2
radius
16. In a division problem - the number that an amount is divided by
When you are absolutely sure the variable or expression <> 0
Relative multitude
divisor
right angle
17. The distance around a circle (the perimeter of a circle).
Percent Decrease Formula
radius
circumference
The sum of all the integers from 20 to 100 - inclusive
18. Any number with an exponent of 1
equal to itself.
putting that number over 1
Odd
0.625
19. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
x-axis
median
Reducing by the Largest Common Factor (LCF)
20. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Even
polygon
Terminating decimal
21. Two angles whose sum is 180 degrees
Axiom VIII.
Change + - Original = New
supplementary angles
angle
22. Are those things collected in a whole.
numerator
mixed number
Parts
Step 1 of Converting Improper Fractions to Mixed Numbers
23. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
proper fraction
parallel lines
To make sure to solve for Both cases.
range
24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
A = (D1 x D2) / 2
Is equal to the original value
higher terms
25. Total Earnings ($) = ?
Axiom III.
Wage Rate ($ per hr) x Hrs worked
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Even
26. 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
2^3 = 8
To add integers that have the same sign both positive or both negative:
radius
equivalent
27. What are the rules for picking numbers in VICS?
( (Last - First) / Increment ) + 1
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
expression
62.5%
28. Decreasing the Denominator of a fraction Increases/Decreases the value?
quotient
Odd
Increases the value.
Even
29. An angle that measures 90 degrees
right angle
One... the number 2
Long Division
The Ratio of Any two of the following: Original - Change and New
30. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
one is positive and the other is negative
Multitude
lowest terms
31. What are the properties of the diagonals of a Rhombus?
(Last - First + 1)
diameter
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
radius
32. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
prism
Unit Cost + Markup
Greater
33. Total Sales or Revenue = ?
acute angle
Shift DP 2 places right
scalene triangle
Unit Price x Qty. Sold
34. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
product
Number Systems
A = (D1 x D2) / 2
35. Where do fractions occur on a number line?
complementary angle
like fractions
Fractions allow you to plot values between whole numbers and integers.
To find out - easily - if one fraction is bigger than another
36. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
Even
vertex (vertices - plural)
equation
37. A number with an exponent of 2 is often said to be
unit ratio
Subtracting Signed Integers
proper fractions
squared
38. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
To add integers that have the same sign both positive or both negative:
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
39. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
Sale Price - Unit Cost
Being divided by a power of 10
right angle
factor
40. One number is said to be less than (<) another when it is
theorem
Any value multiplied by one
More
farther to the left on the number line
41. An equation stating that two ratios are equal
Even
proportion
Being divided by a power of 10
x-axis
42. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
from left to right
square unit
43. The distance around a circle (the perimeter of a circle)
Always completed first
circumference
Odd
prism
44. The horizontal number line of a coordinate graph
sum
obtuse angle
reduced fraction
x-axis
45. The number being divided is called the
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Quantity is expressed
circumference
dividend
46. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Unknown quantities
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
commutative law of multiplication
radius
47. 5/8 --> Decimal ?
0.625
Revenue ($) - Cost ($)
Axiom V.
Aliquant Part
48. The lower number in a fraction is the
both integers are positive or both are negative
divisor
improper fractions
denominator
49. By the last letters (u - x - y - etc.)
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
probability
lowest terms
Known quantities
50. 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:
Axiom IX.
Even
product