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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. All whole numbers (both positive and negative) and zero.
integers
Line Segments
Evaluating Powers With Negative Exponents
cubed
2. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
integers
A = (D1 x D2) / 2
Any value multiplied by one
3. Reducing fractions is
The rule for adding negative integers is the same as the rule for adding positive integers:
Aliquant Part
dividing the numerator and denominator by the same number
Step 1 of Converting Improper Fractions to Mixed Numbers
4. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
A sum of 2 primes is Odd
Odd
Composite number
lowercase Variables
5. The denominator of the fraction part of the mixed number is
Different Units
cubed
2^3 = 8
the denominator of the original improper fraction
6. Having the same value
divisor
Evaluating Powers With Negative Exponents
squared
equivalent
7. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
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?
Any value multiplied by one
multiplicand
8. One of those primes must be the number __ ?
A sum of 2 primes is Odd
Terminating decimal
integer values
( (Last - First) / Increment ) + 1
9. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Inserting a zero at the left end of a whole number
multiplicand
before solving
y-axis
10. Original x (1 - x/100) = New
reflection
Percent Decrease Formula
The bottom side of the triangle
pi
11. Total Sales or Revenue = ?
reduced fraction
Whole Numbers
Even
Unit Price x Qty. Sold
12. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Equal
Number
Decreases
improper fraction
13. When working with nested signs of grouping
always clear the innermost groups first
base
sample
complementary angles
14. A fraction with a numerator that is larger than or equal to its denominator.
complementary angle
To convert any fraction to higher terms
improper fraction
Even or Non-Int
15. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
quadrilateral
Odd
1 - (y/100)
Greater
16. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When the addends have opposite signs one is + and the other is -
quadrant
Parts
The Decimal Numbering System
17. Is equal to the original value. a x 1 = 1
mean
Any value multiplied by one
range
Decimals/Percents
18. The absolute value of the numerator is smaller than the absolute value of the denominator.
Known quantities
rhombus
1 - (y/100)
proper fraction
19. The ratio of integers that results in a terminating decimal
Even and Odd
Some integer/Some Power of 10
similar figures
circumference
20. Things are Equal in Magnitude when they are
mode
square unit
dividend
referred to the same Unit
21. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cross product
Axiom IX.
equivalent
proportion
22. Two or more fractions that have the same denominator
least common multiple (LCM)
like fractions
ratio
vertex (vertices - plural)
23. A polygon with five sides
pentagon
Composite number
denominator
cross product
24. All the positive whole numbers
Absolute and Relative
integer values
referred to Unity in the same way
combination of addition and subtraction
25. A self-evident statement - that is - one that does not need to be demonstrated.
acute angle
axiom
percent
Aliquot Part
26. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Homogenous or Heterogenous
farther to the right on the number line.
Reducing: The Brute-Force Method
denominator
27. The vertical number line of a coordinate graph
A = (Base x Height) / 2 - A = (BH)/2
factors of the multiplication operation
simplify
y-axis
28. The horizontal number line of a coordinate graph
x-axis
The height of a triangle
A = (D1 x D2) / 2
right triangle
29. Species and Number may be
Sale Price - Unit Cost
Homogenous or Heterogenous
Proof
Axiom V.
30. A Polygon is a closed shape formed by
The rule for adding negative integers is the same as the rule for adding positive integers:
Line Segments
contains only a single number
Shift DP 2 places left
31. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
Quantity is expressed
Shift DP 2 places right
factor
32. .625 --> Percent?
prime factorization
inverse operations
Negative-value integers
62.5%
33. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Terminating decimal
axiom
integer or whole number
Absolute and Relative
34. What are the 2 'percent change' equations?
Original + Change = New Change/Original = Percent Change
like fractions
quotient
sample
35. A polygon with six sides.
hexagon
polygon
referred to the same Unit
A = (Base x Height) / 2 - A = (BH)/2
36. Basic Number Properties and elementary operations.
Axiom II.
factors of the multiplication operation
x-coordinate
Number Systems
37. A collection of things taken as a Unity. A bushel of wheat is a whole.
referred to the same Unit
Whole
unit ratio
Step 1 of Converting Improper Fractions to Mixed Numbers
38. What is the only Even prime number?
2
A = (Base x Height) / 2 - A = (BH)/2
referred to the same Unit
Axiom VII.
39. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
sample
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Axiom IX.
40. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
proper fractions
circumference
composite number
41. 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 integ
ordered pair
mode
Subtracting Signed Integers
roots of numbers
42. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
Axiom IX.
1 - (y/100)
absolute value
Shift DP 2 places left
43. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
probability
pi
When you are absolutely sure the variable or expression <> 0
0
44. An equation stating that two ratios are equal
proportion
perimeter
product
To make sure to solve for Both cases.
45. When are you allowed to divide by a variable - (or Any expression) ?
The sum of all the integers from 20 to 100 - inclusive
acute angle
squared
When you are absolutely sure the variable or expression <> 0
46. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
'five squared'
Adding negative integers will always produce a negative sum
equal to itself.
radius
47. Any number with an exponent of 0
equal to 1
Sale Price - Unit Cost
product
parallelogram
48. Lines in the same plane that do not intersect. The symbol //
parallel lines
always clear the innermost groups first
percent
acute angle
49. What are the properties of the diagonals of a Rhombus?
improper fraction
dividend
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
50. A sign of grouping can be omitted when it
contains only a single number
exponent
square unit
before solving