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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 quadrilateral with two pairs of congruent - parallel sides
parallelogram
simplify
perimeter
Zero (0)
2. A number that is a multiple of all denominators in a problem.
acute angle
common denominator
rectangle
probability
3. Multiply both the numerator and denominator by the same integer value.
cylinder
proper fractions
To convert any fraction to higher terms
Terminating decimal
4. Indicates the number of times the base is to be multiplied
isosceles triangle
Odd
composite number
exponent
5. Unit Profit = ?
Sale Price - Unit Cost
More
When to use fractions
62.5%
6. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
dividing the numerator and denominator by the same number
prism
prime factorization
Even
7. The lower number in a fraction is the
Revenue ($) - Cost ($)
denominator
congruent
A = (Base x Height) / 2 - A = (BH)/2
8. The two kinds of Magnitude are
mixed number
ordered pair
2
Magnitude at Rest and Magnitude in Motion
9. Reversed position or direction
inverse
parallelogram
hexagon
median
10. An angle measuing more than 0 degrees and less than 90 degrees
acute angle
Inserting a zero at the right end of a whole number
x-coordinate
numerator
11. What is the formula forCounting consecutive multiples?
quotient
Both
Axiom X.
( (Last - First) / Increment ) + 1
12. A value such as 6^3 can described as
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13. Rules that tell which steps to follow when solving an expression.
order of operations
Proof
Sale Price - Unit Cost
perimeter
14. A number with an exponent of 3 is often said to be
cubed
Whole
mixed number
reflection
15. Is ZERO positive or negative - both - or none?
Both
sample
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
higher terms
16. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
rectangle
scalene triangle
Different Units
proper fractions
17. An angle measuring more than zero degrees and less than 90 degrees
exponent
the Complement of that part to the whole
prime number
acute angle
18. A line segment that passes through the center of a circle and has its endpoints on the circle
congruent
Even or Non-Int
Wage Rate ($ per hr) x Hrs worked
diameter
19. The vertical number line of a coordinate graph
squared
y-axis
common factor
The Decimal Numbering System
20. In a group of values - the value that occurs most often
mode
base
denominator
Axiom IX.
21. Any number with an exponent of 1
reciprocal
scale drawing
equal to itself.
Wage Rate ($ per hr) x Hrs worked
22. The number to be multiplied by is called the
x = (+-) a
The concept of trading decimal places and how it works
Axiom VII.
multiplier
23. What are the rules for picking numbers in VICS?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
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
dividing the numerator and denominator by the same number
24. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
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
quadrant
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.
Terminating decimal
25. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
mode
absolute value
To convert any fraction to higher terms
Even div. by 4
26. A number with only two factors: the number itself and one.
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
When numbers do not divide evenly
prime number
To add integers that have the same sign (both positive or both negative):
27. In a group of values - the value that occurs most often.
acute angle
Alternative to the algebraic manipulation method to solving a VIC
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?
mode
28. 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.
the Complement of that part to the whole
Adding negative integers will always produce a negative sum
x-coordinate
complementary angle
29. One number is said to be greater than (>) another when it is
Odd
farther to the right on the number line.
divisor
pentagon
30. The upper number in a fraction is the
quadrilateral
The Ratio of Any two of the following: Original - Change and New
farther to the left on the number line
numerator
31. What are the 3 main formulaic properties of evenly-spaced sets?
A = (Diagonal1 x Diagonal2) / 2
Equality
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
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
32. Profit = ?
1 - (y/100)
referred to the same Unit
octagon
Revenue ($) - Cost ($)
33. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
parallelogram
Original + Change = New Change/Original = Percent Change
improper fraction
Odd
34. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
divisor
similar figures
octagon
Revenue ($) - Cost ($)
35. Having the same size and shape
A = (D1 x D2) / 2
congruent
Unity - or a Unit
Wage Rate ($ per hr) x Hrs worked
36. The largest integer that can be divided evenly into both the numerator and denominator.
lowercase Variables
Reducing by the Largest Common Factor (LCF)
1
( (Last - First) / Increment ) + 1
37. Is the agreement of things in Quanity.
Equality
dividing the numerator and denominator by the same number
right angle
Relative multitude
38. Any whole number can be expressed in terms of the
2^3 = 8
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
product
y-axis
39. Change + - Original = New
polygon
axiom
Step 1 of Converting Improper Fractions to Mixed Numbers
Change / Original Formula?
40. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
A sum of 2 primes is Odd
To make sure to solve for Both cases.
Unity - or a Unit
pi
41. Sale Price = ?
Original + Change = New Change/Original = Percent Change
one is positive and the other is negative
Unit Cost + Markup
angle
42. Two angles whose sum equals 90 degrees
complementary angle
quadrilateral
mixed fraction
y-coordinate
43. A parallelogram with four right angles
Odd
rectangle
congruent
proportion
44. Total Earnings ($) = ?
Odd
Whole Numbers
Multitudes and Magnitudes
Wage Rate ($ per hr) x Hrs worked
45. To indicate the addition operation- to indicate a positive integer value
right triangle
Revenue ($) - Cost ($)
A plus sign (+) is used for two entirely different purposes:
equilateral triangle
46. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
divisor
When the addends have opposite signs one is + and the other is -
diameter
A minus sign ( - ) is used for two entirely different purposes:
47. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
lowest terms
denominator
Step 2 of Converting mixed numbers to improper fractions
rhombus
48. Has no sign value
x-coordinate
'six cubed'
similar figures
Zero (0)
49. The result of muliplying two or more numbers
Quantity is expressed
Odd
simplify
product
50. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
A = (Diagonal1 x Diagonal2) / 2
(Last - First + 1)
Magnitude at Rest and Magnitude in Motion