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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 decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Same units
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
rhombus
Terminating decimal
2. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
x/100
factor
quadrant
3. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
square root
The Ratio of Any two of the following: Original - Change and New
Number Systems
4. The sum of a group of numbers divided by the number of numbers; also known as the average
Unit Cost + Markup
one is positive and the other is negative
mean
quadrant
5. Taken together - the multiplicand and multiplier are known as
Change / Original Formula?
factors of the multiplication operation
commutative law of multiplication
x-coordinate
6. In a division problem - the number that an amount is divided by
radius
divisor
x-coordinate
change the operation from subtraction to addition
7. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
improper fraction
Axiom VIII.
order of operations
factor
8. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
x-coordinate
Step 2 of Converting mixed numbers to improper fractions
To add integers that have the same sign (both positive or both negative):
9. Total Sales or Revenue = ?
Step 2 of Converting mixed numbers to improper fractions
Change / Original Formula?
UnitPrice ($/unit) x Qty.Purchas'd (units)
Unit Price x Qty. Sold
10. 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
Reducing fractions
exactly the same portion
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
11. Area of a Rhombus is?
quotient
Quantity is expressed
The height of a triangle
A = (D1 x D2) / 2
12. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
acute angle
mixed number
Long Division
13. The distance around a figure
Sum of Interior Angles of a Polygon: (n - 2) x 180
prime number
perimeter
Odd or Non-Int
14. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 1 of Converting Improper Fractions to Mixed Numbers
obtuse angle
whether the addends have the same sign or opposite signs
Step 2 of Converting mixed numbers to improper fractions
15. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
( (Last - First) / Increment ) + 1
order of operations
Number
radius
16. Lines in the same plane that do not intersect. The symbol //
parallel lines
supplementary angles
area
composite number
17. By the first letters of the alphabet (a - b - c - d - etc..)
unit ratio
polygon
Unknown quantities
Is equal to the original value
18. A number with an exponent of 3 is often said to be
Even
quotient
cubed
Subtracting Signed Integers
19. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Known quantities
probability
reciprocal
improper fraction
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.
Terminating decimal
higher terms
the Complement of that part to the whole
equivalent
21. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
median
1
both integers are positive or both are negative
22. In a group of values - the value that occurs most often
higher terms
simplify
mode
common denominator
23. Why are Even Exponents dangerous?
exponent
integer values
Equal
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
24. 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.
'six cubed'
The concept of trading decimal places and how it works
2
range
25. A triangle that has three equal sides and three equal angles
equilateral triangle
When you are absolutely sure the variable or expression <> 0
circumference
percent
26. 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.
scale drawing
theorem
Arithmetic - Music - Geometry and Astronomy
vertex (vertices - plural)
27. Reducing fractions is
Even and Odd
dividing the numerator and denominator by the same number
factors of the multiplication operation
'six cubed'
28. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
prism
the Complement of that part to the whole
1 - (y/100)
29. Always perform the operations
from left to right
parallel lines
Change / Original Formula?
common factor
30. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
radius
Being divided by a power of 10
Zero multiplied by any value
polygon
31. Basic Number Properties and elementary operations.
To find out - easily - if one fraction is bigger than another
(Last - First + 1)
quadrilateral
Number Systems
32. Having the same value
from left to right
equivalent
percent
proper fraction
33. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Inserting a zero at the left end of a whole number
Inserting a zero at the right end of a whole number
from left to right
34. A solid figure with two congruent and parallel circular bases
cylinder
absolute value
one is positive and the other is negative
When the addends have opposite signs one is + and the other is -
35. Method: convert Percent to Decimal?
denominator
Shift DP 2 places left
always clear the innermost groups first
Homogenous or Heterogenous
36. A ratio that compares two different types of quantities
Unknown quantities
rate
Equality
difference
37. The total of two or more numbers being added
quotient
sum
perimeter
Multitude
38. The whole is more or greater than its part.
Step 2 of Converting Improper Fractions to Mixed Numbers
Axiom IV.
prime number
Shift DP 2 places right
39. Indicates the number to be multiplied
prism
the same point on the number line
Original x (1 - x/100) = New
base
40. What are the 3 main formulaic properties of evenly-spaced sets?
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
Same units
Axiom I.
right triangle
41. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
To add integers that have the same sign (both positive or both negative):
higher terms
Axiom VIII.
42. The Only possible factors for a prime number are
1 and itself
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
pyramid
trapezoid
43. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
Even
simplify
Axiom I.
44. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
quotient
Change / Original Formula?
similar figures
least common multiple (LCM)
45. Any number with an exponent of 0
equal to 1
Unknown quantities
Axiom I.
When to use the Heavy Division Shortcut - and how to do it
46. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
equivalent
Equality
quadrilateral
mixed fractions
47. The result of the multiplication is called the
Zero multiplied by any value
Odd
polygon
product
48. 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
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
proper fraction
When to use fractions
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
49. A comparison of the two values of two numbers
0
Multitudes and Magnitudes
Evaluating Powers With Negative Exponents
ratio
50. One number is said to be less than (<) another when it is
farther to the left on the number line
like fractions
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
area