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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. 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').
Subtracting Signed Integers
Even
Equal
Whole Numbers
2. An angle that measures 180 degrees
mode
straight angle
lowest terms
Shift DP 2 places right
3. 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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4. 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
equivalent
Line Segments
Percent Decrease Formula
5. A collection of things taken as a Unity. A bushel of wheat is a whole.
To add integers that have the same sign (both positive or both negative):
Whole
prism
A = (Diagonal1 x Diagonal2) / 2
6. The number being divided is called the
dividing the numerator and denominator by the same number
dividend
lowercase letters
median
7. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Quantity
they have the same absolute value
like fractions
Odd
8. An eight-sided polygon
vertex (vertices - plural)
octagon
referred to Unity in the same way
Odd
9. What is the increment of a set of consecutive integers?
(Last - First + 1)
1
0.625
Power notation
10. What is the perimeter of a Polygon?
Increases the value.
theorem
radius
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
11. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
vertex (vertices - plural)
Whole
A minus sign ( - ) is used for two entirely different purposes:
Original x (1 - x/100) = New
12. 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
Subtracting Signed Integers
combination of addition and subtraction
both integers are positive or both are negative
To make sure to solve for Both cases.
13. The numerator is smaller than the denominator
from left to right
octagon
supplementary angles
proper fraction
14. A combination of numbers and variables connected by one or more operations signs
exponent
Odd
expression
square root
15. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
To add integers that have the same sign both positive or both negative:
Axiom IX.
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
prime number
16. 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
exponent
percent
Known quantities
2^3 = 8
17. Always perform the operations
range
prime factors
How the Last Digit Shortcut works
from left to right
18. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
Unit Price x Qty. Sold
congruent
prism
Multitude
19. When are you allowed to divide by a variable - (or Any expression) ?
area
theorem
When you are absolutely sure the variable or expression <> 0
farther to the left on the number line
20. The two kinds of Multitude
scalene triangle
Absolute and Relative
Magnitude at Rest and Magnitude in Motion
putting that number over 1
21. A mathematical sentence that uses an equal sign
base
equal to itself.
ordered pair
equation
22. Total Earnings ($) = ?
ratio
the same point on the number line
1
Wage Rate ($ per hr) x Hrs worked
23. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Adding negative integers will always produce a negative sum
Always completed first
Even and Odd
acute angle
24. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
referred to Unity in the same way
the same point on the number line
mean
25. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Axiom X.
Same units
circumference
Decimals/Percents
26. Profit = ?
0
Reducing by the Largest Common Factor (LCF)
Even - Odd or Non-Int
Revenue ($) - Cost ($)
27. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Long Division
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
prime number
Axiom IX.
28. A triangle with sides of different lengths and no two angles are the same.
dividend
range
proper fractions
scalene triangle
29. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
Axiom I.
Number Systems
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.
30. Is ZERO positive or negative - both - or none?
Both
whether the addends have the same sign or opposite signs
More
Sale Price - Unit Cost
31. Anything that may be increased or diminished
Quantity
Even
improper fractions
Aliquot and Aliquant Parts
32. Rules that tell which steps to follow when solving an expression.
improper fraction
square root
order of operations
x-coordinate
33. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Axiom IV.
Being divided by a power of 10
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
mixed number
34. Species and Number may be
Homogenous or Heterogenous
x-axis
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
0.625
35. The exact procedure for adding signed integers depends upon
Sale Price - Unit Cost
prime factorization
whether the addends have the same sign or opposite signs
Different Units
36. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
x/100
Inequality
integer or whole number
To add integers that have the same sign both positive or both negative:
37. When will a decimal Not terminate and why?
Decimals/Percents
radius
Greater
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
38. The study of quantity
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?
multiplier
divisor
Mathematics
39. The process of breaking a number down into its factors is called
product
factoring
prism
x/100
40. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Converting Improper Fractions to Mixed Numbers
Mathematics
mixed fractions
angle
41. The two kinds of Quantity are
sum
Multitudes and Magnitudes
x-axis
Percent Change
42. Any whole number can be expressed in terms of the
simplify
Odd
product
dividing the numerator and denominator by the same number
43. A ratio that shows the cost per unit of measure
equal to 1 divided by that number with a positive exponent
Alternative to the algebraic manipulation method to solving a VIC
rectangle
unit ratio
44. The result of the division called the
quotient
Even and Odd
both integers are positive or both are negative
Known (Given) and Unknown (Sought)
45. A ratio that compares two different types of quantities
rate
Converting mixed numbers to improper fractions.
Even or Non-Int
Decreases
46. When will a decimal terminate and why?
vertex (vertices - plural)
order of operations
higher terms
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
47. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
trapezoid
mixed number
lowercase letters
polygon
48. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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49. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
Unit Price x Qty. Sold
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
Sum of Interior Angles of a Polygon: (n - 2) x 180
50. A polygon with six sides.
area
Known (Given) and Unknown (Sought)
the denominator of the original improper fraction
hexagon