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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. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
Unit Price x Qty. Sold
When to use fractions
Even and Odd
2. 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 -
denominator
Line Segments
unit ratio
3. To make a fraction easier to work with by taking out common factors
Reducing by the Largest Common Factor (LCF)
Power notation
Wage Rate ($ per hr) x Hrs worked
simplify
4. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
multiplicand
Decimals/Percents
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Line Segments
5. 0.625 --> Fraction ?
Shift DP 2 places right
5/8
acute angle
always clear the innermost groups first
6. A whole number that has only one set of factors - itself and 1.
diameter
prime number
denominator
scale drawing
7. A polygon with five sides
mode
reduced fraction
referred to Unity in the same way
pentagon
8. Total Sales or Revenue = ?
To add integers that have opposite signs:
Unit Price x Qty. Sold
mixed fraction
Mathematics
9. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
multiplicand
sample
x-coordinate
Step 1 of Converting mixed numbers to improper fractions
10. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Evaluating Powers With Negative Exponents
radius
Sum of Interior Angles of a Polygon: (n - 2) x 180
Parts
11. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Whole
5/8
y-coordinate
Change / Original Formula?
12. An equation stating that two ratios are equal
The Ratio of Any two of the following: Original - Change and New
proportion
hexagon
To add integers that have the same sign both positive or both negative:
13. A triangle that has three equal sides and three equal angles
ordered pair
equilateral triangle
dividend
pentagon
14. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
acute angle
quadrant
Absolute and Relative
15. All the positive whole numbers
octagon
integer values
equation
To add integers that have opposite signs:
16. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
right triangle
Proof
Being divided by a power of 10
Decimals/Percents
17. Basic Number Properties and elementary operations.
More
Number Systems
combination of addition and subtraction
5/8
18. The amount that remains after one number has been subtracted from another
Reducing fractions
circumference
A minus sign ( - ) is used for two entirely different purposes:
difference
19. A comparison of the two values of two numbers
dividend
denominator
ratio
Even
20. An angle measuring more than 90 degrees and less than 180 degrees
denominator
scalene triangle
integer values
obtuse angle
21. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
Wage Rate ($ per hr) x Hrs worked
Unit Price x Qty. Sold
When to use the Heavy Division Shortcut - and how to do it
absolute value
22. Part of the population that is studied to find the characteristics of the whole population.
sample
straight angle
divisor
order of operations
23. Are those things collected in a whole.
Parts
To add integers that have opposite signs:
Percent Decrease Formula
proper fractions
24. Total Sales or Revenue = ?
Zero (0)
Inserting a zero at the right end of a whole number
Unit Price x Qty. Sold
Reducing: The Brute-Force Method
25. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
scalene triangle
Converting Improper Fractions to Mixed Numbers
Multitude
Even
26. 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
rectangle
mode
pentagon
27. The whole is equal to all of its parts taken together.
One... the number 2
improper fraction
Axiom V.
absolute value
28. Unit Profit = ?
Sale Price - Unit Cost
The height of a triangle
1
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
29. In order to understand and use exponents that are fractions or decimals - you must first know about
composite number
simplify
exponent
roots of numbers
30. Even X Even = ? ... and is div. by ?
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
squared
Even div. by 4
Equality
31. A quadrilateral with two pairs of congruent - parallel sides
before solving
To find out - easily - if one fraction is bigger than another
Line Segments
parallelogram
32. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
radius
change the operation from subtraction to addition
5/8
Terminating decimal
33. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Axiom IX.
improper fraction
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.
mixed fractions
34. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
common factor
probability
Line Segments
Known quantities
35. 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
Being divided by a power of 10
farther to the right 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
Long Division
36. The absolute value of the numerator is smaller than the absolute value of the denominator.
mixed fractions
Proof
Axiom IV.
proper fraction
37. The result of dividing one number by another; the solution to a division problem
enclosing the numbers in a pair of vertical lines | |
quotient
When to use fractions
Sale Price - Unit Cost
38. Two numbers listed in a specific order; it describes a point on the coordinate graph
range
Number Systems
ordered pair
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
39. The vertical number line of a coordinate graph
y-axis
exponent
octagon
Unit Cost + Markup
40. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Odd
Step 2 of Converting mixed numbers to improper fractions
denominator
41. Percent Decrease Formula ?
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
complementary angles
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Original x (1 - x/100) = New
42. Two or more fractions that have the same denominator
Axiom III.
Any value multiplied by one
Unity - or a Unit
like fractions
43. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
Axiom I.
supplementary angles
quotient
44. A number that is not a prime number is called a
ordered pair
composite number
When to use the Heavy Division Shortcut - and how to do it
Percent Decrease Formula
45. The method for indicating the power of a number
To add integers that have opposite signs:
radius
before solving
Power notation
46. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
common denominator
Odd
To find out - easily - if one fraction is bigger than another
prism
47. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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48. A quadrilateral with two pairs of congruent - parallel sides.
factoring
parallelogram
Unit Cost + Markup
To convert any fraction to higher terms
49. Rules that tell which steps to follow when solving an expression.
ratio
pi
order of operations
improper fractions
50. A ratio that compares two different types of quantities
Percent Decrease Formula
There are two parts in the procedure for subtracting signed integers:
equal to itself.
rate