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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. Can have many different combinations of factors
2
dividend
Composite number
Equality
2. The two kinds of Quantity are
absolute value
Even and Odd
Proof
Multitudes and Magnitudes
3. The whole is more or greater than its part.
sample
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Axiom IV.
Number Systems
4. The number being multiplied is called the
multiplicand
polygon
Whole Numbers
farther to the left on the number line
5. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Computation
product
cross product
6. An angle measuing more than 0 degrees and less than 90 degrees
Both
acute angle
There are two parts in the procedure for subtracting signed integers:
Line Segments
7. What are the 2 'percent change' equations?
square unit
unit ratio
Original + Change = New Change/Original = Percent Change
simplify
8. A collection of things taken as a Unity. A bushel of wheat is a whole.
dividing the numerator and denominator by the same number
congruent
Even
Whole
9. Is equal to zero. 0 x a = 0
Is zero
Reducing fractions
Zero multiplied by any value
prime number
10. 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
mixed number
prime number
scale drawing
11. A polygon with six sides.
hexagon
How the Last Digit Shortcut works
x-axis
Evaluating Powers With Negative Exponents
12. Having the same size and shape
congruent
The Ratio of Any two of the following: Original - Change and New
denominator
Axiom V.
13. Sale Price = ?
product
Sale Price - Unit Cost
Unit Cost + Markup
always clear the innermost groups first
14. Adding integers that have the same sign means
both integers are positive or both are negative
The bottom side of the triangle
Original + Change = New Change/Original = Percent Change
hexagon
15. The absolute value of the numerator is smaller than the absolute value of the denominator.
proportion
Magnitude
proper fraction
probability
16. The largest integer that can be divided evenly into both the numerator and denominator.
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
Aliquot and Aliquant Parts
greatest common factor (GCF)
Reducing by the Largest Common Factor (LCF)
17. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Axiom III.
Even
equivalent
A = (D1 x D2) / 2
18. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
quotient
( (Last - First) / Increment ) + 1
Long Division
perimeter
19. A value such as 6^3 can described as
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20. The distance around a figure.
perimeter
Even
2
product
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. Basic Number Properties and elementary operations.
Some integer/Some Power of 10
Inserting a zero at the left end of a whole number
Homogenous or Heterogenous
Number Systems
23. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
common denominator
Odd
Odd or Non-Int
equal to 1
24. Species of Quantities are signified by
lowercase letters
Wage Rate ($ per hr) x Hrs worked
ordered pair
To add integers that have the same sign (both positive or both negative):
25. A ratio that shows the cost per unit of measure
unit ratio
Step 1 of Converting mixed numbers to improper fractions
product
mean
26. What's the reciprocal of v6 - and why?
Inequality
squared
Zero multiplied by any value
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
27. 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').
Whole Numbers
proper fraction
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?
area
28. 1 to any power is equal to
straight angle
Unit Price x Qty. Sold
1
Greater
29. Taken together - the multiplicand and multiplier are known as
circumference
The sum of all the integers from 20 to 100 - inclusive
Magnitude at Rest and Magnitude in Motion
factors of the multiplication operation
30. A number with only two factors: the number itself and one.
Odd
Odd
improper fraction
prime number
31. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
dividend
square unit
mixed number
Even
32. An angle measuring more than zero degrees and less than 90 degrees
When numbers do not divide evenly
acute angle
Axiom III.
Non-Int
33. 'y percent less than' = ?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
1 - (y/100)
Unit Price x Qty. Sold
Known (Given) and Unknown (Sought)
34. The ratio of integers that results in a terminating decimal
straight angle
hexagon
product
Some integer/Some Power of 10
35. A comparison of the two values of two numbers
(Last - First + 1)
ratio
supplementary angles
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
36. A whole number that has only one set of factors - itself and 1.
prime number
Magnitude
Adding negative integers will always produce a negative sum
Inserting a zero at the left end of a whole number
37. Total Earnings ($) = ?
Even div. by 4
When to use fractions
expression
Wage Rate ($ per hr) x Hrs worked
38. A triangle with two equal sides and two equal angles
Inserting a zero at the left end of a whole number
Number Systems
isosceles triangle
fraction or broken number
39. The ratio of a number to 100 (per one hundred). The symbol %
Even
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
percent
Axiom I.
40. 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):
combination of addition and subtraction
supplementary angles
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
41. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
To make sure to solve for Both cases.
perimeter
To square an equation to solve it
To convert any fraction to higher terms
42. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
range
Revenue ($) - Cost ($)
reciprocal
radius
43. In a group of values - the value that occurs most often
How the Last Digit Shortcut works
mode
Converting Improper Fractions to Mixed Numbers
Multitude
44. A polygon that has four sides.
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
quadrilateral
like fractions
Revenue ($) - Cost ($)
45. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
pyramid
Mathematics
always clear the innermost groups first
Adding negative integers will always produce a negative sum
46. 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.
Step 1 of Converting Improper Fractions to Mixed Numbers
0
x/100
vertex (vertices - plural)
47. Any value divided by one
Is equal to the original value
When the addends have the same sign both + or both -
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
When to use the Heavy Division Shortcut - and how to do it
48. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
reciprocal
proper fraction
0
49. A number is increased by 25%... what must you reduce the new number by to get the old number again?
supplementary angles
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
proportion
quotient
50. The number being divided is called the
dividend
Decreases
before solving
Whole