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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 value such as 6^3 can described as
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2. The two kinds of parts
The Ratio of Any two of the following: Original - Change and New
octagon
Aliquot and Aliquant Parts
when there are explicit or implicit equations in the problem:
3. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
probability
Number
factor
quadrilateral
4. The exact procedure for adding signed integers depends upon
( (Last - First) / Increment ) + 1
right triangle
Axiom II.
whether the addends have the same sign or opposite signs
5. Profit = ?
Inequality
prism
Revenue ($) - Cost ($)
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
6. A mathematical sentence that uses an equal sign
equation
To find out - easily - if one fraction is bigger than another
Even
5/8
7. Indicates the number to be multiplied
base
axiom
reflection
Both
8. Breaking down a composite number until all of the factors are prime
supplementary angles
mean
prime number
prime factorization
9. Any number with an exponent of 0
Even and Odd
Known (Given) and Unknown (Sought)
Positive-value integers
equal to 1
10. Adding integers that have opposite signs means
pi
common denominator
one is positive and the other is negative
When the addends have opposite signs one is + and the other is -
11. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
the Complement of that part to the whole
improper fraction
Negative-value integers
referred to the same Unit
12. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
scalene triangle
Odd
common denominator
Equal
13. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
x/100
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
polygon
divisor
14. A quadrilateral with two pairs of congruent - parallel sides
Arithmetic - Music - Geometry and Astronomy
1 and itself
mixed number
parallelogram
15. Total Earnings ($) = ?
Negative-value integers
product
Even or Non-Int
Wage Rate ($ per hr) x Hrs worked
16. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
When to use fractions
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Always completed first
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
17. One number is said to be greater than (>) another when it is
composite number
farther to the right on the number line.
common denominator
Even
18. A quadrilateral with one pair of parallel sides
x-axis
quotient
trapezoid
octagon
19. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
prime factors
Axiom VIII.
inverse operations
Composite number
20. Are those things collected in a whole.
complementary angles
Parts
quadrant
octagon
21. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
A sum of 2 primes is Odd
mixed number
22. 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
Step 1 of Converting mixed numbers to improper fractions
y-coordinate
Any value multiplied by one
23. Change / Original Formula
Change + - Original = New
Wage Rate ($ per hr) x Hrs worked
Even or Non-Int
Sale Price - Unit Cost
24. The whole is equal to all of its parts taken together.
Axiom V.
pyramid
The concept of trading decimal places and how it works
square root
25. A number that is not a prime number is called a
mode
obtuse angle
contains only a single number
composite number
26. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Step 2 of Converting mixed numbers to improper fractions
multiplier
Revenue ($) - Cost ($)
similar figures
27. 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.
cubed
numerator
the Complement of that part to the whole
There are two parts in the procedure for subtracting signed integers:
28. An equation stating that two ratios are equal
quotient
Odd or Non-Int
Step 1 of Converting mixed numbers to improper fractions
proportion
29. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
1 and itself
mode
pentagon
30. Area of a Rhombus is?
acute angle
A = (D1 x D2) / 2
simplify
( (Last - First) / Increment ) + 1
31. An eight-sided polygon
equivalent
rhombus
octagon
Even and Odd
32. 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.
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?
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Evaluating Powers With Negative Exponents
Converting mixed numbers to improper fractions.
33. 1/2 - 1/3 - 2/3 - -5/8
(Last - First + 1)
proper fractions
When the addends have the same sign both + or both -
To add integers that have the same sign both positive or both negative:
34. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
quotient
unit ratio
A = (D1 x D2) / 2
Same units
35. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Wage Rate ($ per hr) x Hrs worked
prism
Magnitude
Quantity
36. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
quotient
prism
multiplier
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
37. Is equal to zero. 0 x a = 0
reflection
Carry the 10's digit of the product to the top of the 10's column of factors.
Zero multiplied by any value
Percent Change
38. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
rectangle
The rule for adding negative integers is the same as the rule for adding positive integers:
whether the addends have the same sign or opposite signs
39. The amount that remains after one number has been subtracted from another
difference
Magnitude
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Whole
40. The study of quantity
proper fraction
Mathematics
Even
1
41. Surface space that is measured in square units
Power notation
area
denominator
hexagon
42. A triangle that has three equal sides and three equal angles
equilateral triangle
circumference
acute angle
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
43. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
2
pentagon
Greater
whether the addends have the same sign or opposite signs
44. A number that tells how many times the base is multiplied by itself
putting that number over 1
To make sure to solve for Both cases.
percent
exponent
45. Zero divided by any whole number (except 0)
Is zero
squared
absolute value
mixed fractions
46. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
perimeter
vertex (vertices - plural)
right triangle
47. Having the same size and shape
proportion
congruent
Unit Cost + Markup
inverse
48. A triangle with two equal sides and two equal angles
dividend
isosceles triangle
dividing the numerator and denominator by the same number
expression
49. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
supplementary angles
Both
higher terms
50. The distance around a circle (the perimeter of a circle)
Odd or Non-Int
circumference
from left to right
Computation