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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. The whole is more or greater than its part.
The rule for adding negative integers is the same as the rule for adding positive integers:
Axiom IV.
acute angle
Change / Original Formula?
2. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
mixed fraction
When you are absolutely sure the variable or expression <> 0
1
Axiom VI.
3. Surface space that is measured in square units.
Revenue ($) - Cost ($)
acute angle
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
area
4. A parallelogram with four right angles
Computation
absolute value
rectangle
Step 1 of Converting mixed numbers to improper fractions
5. 1/2 - 1/3 - 2/3 - -5/8
quadrant
proper fractions
dividend
Aliquot and Aliquant Parts
6. Lines in the same plane that do not intersect. The symbol //
parallel lines
Axiom X.
difference
inverse operations
7. What is the formula forCounting consecutive multiples?
The concept of trading decimal places and how it works
Subtracting Signed Integers
( (Last - First) / Increment ) + 1
Whole Numbers
8. Every quantity is equal to itself.
x-axis
A = (Base x Height) / 2 - A = (BH)/2
Axiom II.
The bottom side of the triangle
9. Is equal to the original value. a x 1 = 1
radius
Even
Any value multiplied by one
prism
10. Can have many different combinations of factors
common factor
dividing the numerator and denominator by the same number
Composite number
numerator
11. The whole-number system uses only ten characters -0 through 9.
0.625
octagon
reduced fraction
The Decimal Numbering System
12. Species are distinguished into
How the Last Digit Shortcut works
Unit Cost + Markup
Even
Known (Given) and Unknown (Sought)
13. Every number is contained in itself once.
simplify
the same point on the number line
Axiom VII.
circumference
14. The horizontal number line of a coordinate graph
Power notation
Fractions allow you to plot values between whole numbers and integers.
x-axis
equivalent
15. A whole number can be expressed as an improper fraction by
referred to Unity in the same way
Computation
Unknown quantities
putting that number over 1
16. Things are Equal in Multitude when they are
Number Systems
referred to Unity in the same way
proper fraction
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
17. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
range
There are two parts in the procedure for subtracting signed integers:
The bottom side of the triangle
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
18. A whole number that has only one set of factors - itself and 1.
0.625
Mathematics
circumference
prime number
19. To indicate the addition operation- to indicate a positive integer value
A plus sign (+) is used for two entirely different purposes:
mixed fraction
parallelogram
trapezoid
20. Why are Even Exponents dangerous?
perimeter
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Reducing by the Largest Common Factor (LCF)
simplify
21. If 2 numbers are OPPOSITES of each other
Quantity is expressed
they have the same absolute value
squared
Step 1 of Converting Improper Fractions to Mixed Numbers
22. A fraction with a numerator that is larger than or equal to its denominator.
62.5%
radius
improper fraction
factor
23. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Negative-value integers
More
When you are absolutely sure the variable or expression <> 0
Power notation
24. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
To add integers that have the same sign (both positive or both negative):
radius
complementary angle
Even
25. 3/2 - 8/3 - -16/5 - 7/7
Being divided by a power of 10
improper fractions
polygon
farther to the right on the number line.
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
The bottom side of the triangle
improper fraction
they have the same absolute value
2^3 = 8
27. The numerator is smaller than the denominator
Even
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
Carry the 10's digit of the product to the top of the 10's column of factors.
proper fraction
28. In a division problem - the number that an amount is divided by
Step 2 of Converting Improper Fractions to Mixed Numbers
simplify
perimeter
divisor
29. What is the only Even prime number?
2
mixed number
Odd
vertex (vertices - plural)
30. Every lesser number is contained in a greater more than once.
Aliquant Part
Axiom VIII.
To add integers that have opposite signs:
Same units
31. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
angle
The sum of all the integers from 20 to 100 - inclusive
equilateral triangle
median
32. By the first letters of the alphabet (a - b - c - d - etc..)
To add integers that have the same sign both positive or both negative:
2^3 = 8
probability
Unknown quantities
33. The method for indicating the power of a number
equilateral triangle
Power notation
Axiom VII.
Arithmetic - Music - Geometry and Astronomy
34. In a group of values - the value that occurs most often
mode
Subtracting Signed Integers
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
scalene triangle
35. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
dividend
Unit Price x Qty. Sold
parallelogram
36. Odd +/- ____ = Odd
Axiom V.
Axiom VII.
like fractions
Even
37. A statement that needs to be demonstrated and is called in Latin demonstrandum.
theorem
unit ratio
sum
Original + Change = New Change/Original = Percent Change
38. A number that when multiplied by itself results in the original number
square root
they have the same absolute value
Quantity
dividend
39. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
quotient
radius
median
( (Last - First) / Increment ) + 1
40. Rules that tell which steps to follow when solving an expression.
Even
prism
Both
order of operations
41. Any number with an exponent of 0
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
Inequality
When the addends have opposite signs one is + and the other is -
equal to 1
42. Total Sales or Revenue = ?
Sale Price - Unit Cost
expression
A minus sign ( - ) is used for two entirely different purposes:
Unit Price x Qty. Sold
43. A sign of grouping can be omitted when it
perimeter
One... the number 2
contains only a single number
like fractions
44. A polygon with six sides.
2
complementary angle
cylinder
hexagon
45. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
rhombus
divisor
median
Equal
46. 1 to any power is equal to
1
prime factorization
proportion
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
47. 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.
Different Units
Even
Shift DP 2 places left
Known quantities
48. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
diameter
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
lowercase Variables
Even and Odd
49. A triangle with one right angle
right angle
both integers are positive or both are negative
right triangle
prime number
50. A polygon with five sides
pentagon
equivalent
polygon
Even or Non-Int