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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 number being multiplied is called the
mean
Even div. by 4
The Decimal Numbering System
multiplicand
2. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
The Ratio of Any two of the following: Original - Change and New
rhombus
putting that number over 1
Unit Cost + Markup
3. The horizontal number line of a coordinate graph
improper fractions
x-axis
When to use the Heavy Division Shortcut - and how to do it
ratio
4. The distance around a circle (the perimeter of a circle)
The Ratio of Any two of the following: Original - Change and New
circumference
mode
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
5. Species of Quantities are signified by
Adding negative integers will always produce a negative sum
lowercase letters
mode
Even
6. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
Odd
composite number
Both
right triangle
7. In a division problem - the number that an amount is divided by
factors of the multiplication operation
Computation
mean
divisor
8. The difference between the least and greatest values in a set of numbers.
range
Even or Non-Int
roots of numbers
There are two parts in the procedure for subtracting signed integers:
9. The largest integer that can be divided evenly into both the numerator and denominator.
hexagon
Subtracting Signed Integers
Axiom I.
Reducing by the Largest Common Factor (LCF)
10. The largest single factor for two or more numbers.
radius
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
greatest common factor (GCF)
factor
11. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Even
fraction or broken number
equation
y-axis
12. A value such as 6^3 can described as
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13. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
Multitude
proper fraction
similar figures
14. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
composite number
probability
Even
multiplicand
15. All the positive whole numbers
trapezoid
integer values
simplify
referred to Unity in the same way
16. An angle that measures 180 degrees
When to use the Heavy Division Shortcut - and how to do it
straight angle
When to use fractions
5/8
17. ' x percent' = ?
x/100
rectangle
Change / Original Formula?
Is zero
18. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
angle
Odd
Converting Improper Fractions to Mixed Numbers
lowercase Variables
19. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
x-coordinate
There are two parts in the procedure for subtracting signed integers:
Step 1 of Converting mixed numbers to improper fractions
Magnitude
20. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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21. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
multiplicand
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
The concept of trading decimal places and how it works
Step 1 of Converting Improper Fractions to Mixed Numbers
22. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
When to use the Heavy Division Shortcut - and how to do it
Even
Species
Axiom X.
23. What is the formula forCounting consecutive integers?
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
composite number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
(Last - First + 1)
24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
x-coordinate
right angle
median
quadrilateral
25. The Sum of n consecutive integers is Not divisible by n if n is
product
lowest terms
Even
1
26. Sale Price = ?
Unit Cost + Markup
Odd
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Non-Int
27. A number with only two factors: the number itself and one.
Decimals/Percents
prime number
x/100
circumference
28. Breaking down a composite number until all of the factors are prime
prime factorization
To convert any fraction to higher terms
enclosing the numbers in a pair of vertical lines | |
hexagon
29. Two angles whose sum equals 90 degrees
complementary angle
mixed number
roots of numbers
factor
30. The two kinds of Quantity are
Computation
mean
Multitudes and Magnitudes
Axiom X.
31. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
product
Even
order of operations
32. 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.
rhombus
When numbers do not divide evenly
Sale Price - Unit Cost
Mathematics
33. Two or more fractions that have the same denominator
like fractions
improper fraction
common denominator
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
34. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
To add integers that have the same sign both positive or both negative:
before solving
improper fraction
Long Division
35. Part of the population that is studied to find the characteristics of the whole population.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
whether the addends have the same sign or opposite signs
sample
mixed fraction
36. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
When the addends have opposite signs one is + and the other is -
Proof
To add integers that have opposite signs:
axiom
37. A solid figure with two congruent and parallel circular bases
both integers are positive or both are negative
cylinder
y-axis
product
38. How many Even primes are there?
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
One... the number 2
2
numerator
39. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
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?
higher terms
Increases the value.
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.
40. Surface space that is measured in square units.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
area
How the Last Digit Shortcut works
cubed
41. 3 ways to solve an absolute value inequality
Equal
2^3 = 8
improper fraction
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
42. A parallelogram with all sides equal and congruent
denominator
rhombus
one is positive and the other is negative
Odd
43. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
( (Last - First) / Increment ) + 1
similar figures
To add integers that have the same sign (both positive or both negative):
Wage Rate ($ per hr) x Hrs worked
44. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
base
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
2
square unit
45. The ratio of a number to 100 (per one hundred). The symbol %
pentagon
Converting Improper Fractions to Mixed Numbers
mixed number
percent
46. Method: convert Percent to Decimal?
radius
Shift DP 2 places left
Odd
Odd
47. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
1
Axiom VI.
both integers are positive or both are negative
Sale Price - Unit Cost
48. Any value divided by one
Is equal to the original value
unit ratio
To make sure to solve for Both cases.
To square an equation to solve it
49. Any number with a negative exponent
Axiom I.
lowest terms
equal to 1 divided by that number with a positive exponent
Negative-value integers
50. The result of dividing one number by another; the solution to a division problem
quotient
vertex (vertices - plural)
like fractions
mean