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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 Sum of n consecutive integers is divisible by n if n is
range
Odd
equation
prime number
2. Is the opposite of raising fractions to higher terms.
Being divided by a power of 10
Converting Improper Fractions to Mixed Numbers
Reducing fractions
composite number
3. Area of a Rhombus is?
prime number
A = (D1 x D2) / 2
Decreases
2
4. All the positive whole numbers
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
integer values
x-coordinate
Step 2 of Converting mixed numbers to improper fractions
5. The action of the mind whereby a quantity is measured by Unity or a Unit.
cylinder
Odd
Computation
2
6. Includes an integer as well as a fractional part
mixed number
Sale Price - Unit Cost
Axiom V.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
7. An angle measuring more than zero degrees and less than 90 degrees
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
acute angle
Reducing fractions
Aliquot and Aliquant Parts
8. Are those things collected in a whole.
parallelogram
Unit Cost + Markup
Parts
Alternative to the algebraic manipulation method to solving a VIC
9. The largest single factor for two or more numbers.
greatest common factor (GCF)
To square an equation to solve it
Even - Odd or Non-Int
mean
10. An angle that measures 90 degrees
Decreases
mean
right angle
Odd
11. A line segment that passes through the center of a circle and has its endpoints on the circle
Inequality
diameter
Axiom VII.
Power notation
12. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
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
equilateral triangle
octagon
When to use fractions
13. Odd / Even = ? e.g. 9/6 = 1.5
Step 1 of Converting mixed numbers to improper fractions
factors of the multiplication operation
Non-Int
Composite number
14. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
The height of a triangle
x = (+-) a
ordered pair
Odd
15. The figure formed when two rays meet at a common endpoint called a vertex.
Positive-value integers
mixed number
angle
Non-Int
16. An angle measuring more than 90 degrees and less than 180 degrees
Zero multiplied by any value
Odd
obtuse angle
whether the addends have the same sign or opposite signs
17. A parallelogram with all sides equal and congruent
When to use fractions
greatest common factor (GCF)
rhombus
Computation
18. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
reflection
median
farther to the right on the number line.
Sum of Interior Angles of a Polygon: (n - 2) x 180
19. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
0.625
from left to right
similar figures
equal to itself.
20. The Only possible factors for a prime number are
1 and itself
mode
Some integer/Some Power of 10
radius
21. Any number with a negative exponent
divisor
equal to 1 divided by that number with a positive exponent
before solving
enclosing the numbers in a pair of vertical lines | |
22. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
both integers are positive or both are negative
isosceles triangle
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
When the addends have opposite signs one is + and the other is -
23. The result of dividing one number by another; the solution to a division problem
quotient
'six cubed'
perimeter
Even
24. What is the only Even prime number?
Equality
0.625
Revenue ($) - Cost ($)
2
25. A collection of things taken as a Unity. A bushel of wheat is a whole.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
the denominator of the original improper fraction
Whole
product
26. When working with nested signs of grouping
median
always clear the innermost groups first
Multitudes and Magnitudes
Axiom VI.
27. Adding integers that have opposite signs means
x/100
quadrilateral
greatest common factor (GCF)
one is positive and the other is negative
28. The result of the multiplication is called the
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
product
Even
Odd
29. .625 --> Percent?
prism
62.5%
Reducing: The Brute-Force Method
dividend
30. All whole numbers (both positive and negative) and zero.
similar figures
polygon
integers
How the Last Digit Shortcut works
31. A triangle with sides of different lengths and no two angles are the same.
integer or whole number
scalene triangle
(Last - First + 1)
A = (Diagonal1 x Diagonal2) / 2
32. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Whole Numbers
To square an equation to solve it
whether the addends have the same sign or opposite signs
33. Rules that tell which steps to follow when solving an expression
commutative law of multiplication
vertex (vertices - plural)
order of operations
Number
34. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
range
Whole Numbers
To find out - easily - if one fraction is bigger than another
Greater
35. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
diameter
Axiom VII.
When numbers do not divide evenly
Reducing: The Brute-Force Method
36. 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.
Converting mixed numbers to improper fractions.
common denominator
mixed number
Even
37. Every lesser number is contained in a greater more than once.
denominator
Computation
mode
Axiom VIII.
38. A mathematical sentence that uses an equal sign
Even
mode
Odd
equation
39. Odd x ? = Even
Even
Greater
UnitPrice ($/unit) x Qty.Purchas'd (units)
pyramid
40. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
The rule for adding negative integers is the same as the rule for adding positive integers:
inverse operations
numerator
percent
41. The Sum of n consecutive integers is Not divisible by n if n is
Aliquot and Aliquant Parts
factoring
Even
Terminating decimal
42. Cross-multiply
To find out - easily - if one fraction is bigger than another
Positive-value integers
Axiom I.
denominator
43. What are the only prime factors that a fraction resulting in a terminating decimals have?
least common multiple (LCM)
2 and/or 5 only
x = (+-) a
There are two parts in the procedure for subtracting signed integers:
44. The vertical number line of a coordinate graph
scalene triangle
y-axis
Even div. by 4
Known quantities
45. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
Equality
( (Last - First) / Increment ) + 1
There are two parts in the procedure for subtracting signed integers:
46. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Long Division
Reducing: The Brute-Force Method
referred to Unity in the same way
Axiom VI.
47. A triangle with two equal sides and two equal angles
2 and/or 5 only
A plus sign (+) is used for two entirely different purposes:
isosceles triangle
Inserting a zero at the left end of a whole number
48. 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):
Some integer/Some Power of 10
Any value multiplied by one
composite number
49. Two angles whose sum is 180 degrees
Odd or Non-Int
unit ratio
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
supplementary angles
50. In order to understand and use exponents that are fractions or decimals - you must first know about
1 and itself
'five squared'
1
roots of numbers