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CLEP General Mathematics: Arithmetic Basics
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Subjects
:
clep
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
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.
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. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
Subtracting Signed Integers
When numbers do not divide evenly
A = (Base x Height) / 2 - A = (BH)/2
before solving
2. The distance around a circle (the perimeter of a circle).
circumference
Zero (0)
sum
absolute value
3. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Equality
reflection
Some integer/Some Power of 10
To add integers that have the same sign (both positive or both negative):
4. Area of a Rhombus is?
Equal
proper fractions
A = (D1 x D2) / 2
axiom
5. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
proportion
y-axis
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
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
6. 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
2^3 = 8
Step 1 of Converting Improper Fractions to Mixed Numbers
The height of a triangle
When the addends have opposite signs one is + and the other is -
7. The Sum of n consecutive integers is divisible by n if n is
Same units
Odd
quotient
One... the number 2
8. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
referred to the same Unit
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
0
9. To make a fraction easier to work with by taking out common factors
simplify
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Non-Int
median
10. All the positive whole numbers
Step 1 of Converting mixed numbers to improper fractions
integer values
Both
To square an equation to solve it
11. Is the opposite of raising fractions to higher terms.
parallel lines
cubed
Even
Reducing fractions
12. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
A minus sign ( - ) is used for two entirely different purposes:
reduced fraction
prism
reflection
13. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
x-coordinate
referred to Unity in the same way
0.625
Proof
14. 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.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
quadrant
simplify
Converting mixed numbers to improper fractions.
15. When will a decimal Not terminate and why?
acute angle
Magnitude
Whole Numbers
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
16. What is the formula forCounting consecutive integers?
denominator
the Complement of that part to the whole
supplementary angles
(Last - First + 1)
17. The ratio of a number to 100 (per one hundred). The symbol %
product
percent
exponent
one is positive and the other is negative
18. Multiply both the numerator and denominator by the same integer value.
perimeter
Axiom X.
When the addends have the same sign both + or both -
To convert any fraction to higher terms
19. Anything that may be increased or diminished
Step 2 of Converting mixed numbers to improper fractions
Quantity
square root
2
20. The whole-number system uses only ten characters -0 through 9.
ordered pair
Relative multitude
The Decimal Numbering System
Adding negative integers will always produce a negative sum
21. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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22. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
proper fractions
integer or whole number
improper fraction
23. In a group of values - the value that occurs most often
mode
acute angle
A = (Base x Height) / 2 - A = (BH)/2
Zero (0)
24. Reversed position or direction
1
inverse
Step 2 of Converting mixed numbers to improper fractions
proper fractions
25. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
mode
Odd
isosceles triangle
Different Units
26. Any number with an exponent of 0
equal to 1
improper fractions
Negative-value integers
composite number
27. Basic Number Properties and elementary operations.
Reducing fractions
Number Systems
1
mixed number
28. An angle measuing more than 0 degrees and less than 90 degrees
Even
right triangle
acute angle
Number Systems
29. Total Earnings ($) = ?
Multitude
perimeter
Wage Rate ($ per hr) x Hrs worked
When to use fractions
30. 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
Relative multitude
square unit
The concept of trading decimal places and how it works
Positive-value integers
31. The distance around a circle (the perimeter of a circle)
before solving
x/100
higher terms
circumference
32. 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.
Whole
the Complement of that part to the whole
common denominator
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
33. Profit = ?
mixed number
Axiom VII.
Revenue ($) - Cost ($)
Even div. by 4
34. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
radius
prime factors
Original x (1 - x/100) = New
35. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
perimeter
median
prime number
circumference
36. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
straight angle
When to use the Heavy Division Shortcut - and how to do it
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
37. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
change the operation from subtraction to addition
reflection
Multitude
median
38. Method: convert Percent to Decimal?
Shift DP 2 places left
Decimals/Percents
Wage Rate ($ per hr) x Hrs worked
Even - Odd or Non-Int
39. Operations enclosed in a sign of grouping
Multitude
Always completed first
To square an equation to solve it
mixed number
40. The ratio of integers that results in a terminating decimal
farther to the left on the number line
both integers are positive or both are negative
quadrilateral
Some integer/Some Power of 10
41. The figure formed when two rays meet at a common endpoint called a vertex.
When numbers do not divide evenly
roots of numbers
ratio
angle
42. Are those things collected in a whole.
Parts
Every integer between 1 and X - inclusive - must be a factor of X
simplify
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
43. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
absolute value
lowest terms
Sale Price - Unit Cost
44. 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.
Always completed first
right angle
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Same units
45. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
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
perimeter
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
median
46. A number with only two factors: the number itself and one.
prime number
Axiom IX.
equation
composite number
47. When the factors of a number are all prime numbers - the factors are said to be the
range
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Odd
prime factors
48. A number that when multiplied by itself results in the original number
Step 2 of Converting Improper Fractions to Mixed Numbers
integers
Relative multitude
square root
49. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
proper fraction
unit ratio
right angle
50. All whole numbers (both positive and negative) and zero.
integers
both integers are positive or both are negative
isosceles triangle
Relative multitude
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