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CLEP General Mathematics: Arithmetic Basics

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. 5/8 --> Decimal ?
Different Units
least common multiple (LCM)
Composite number
0.625

2. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Odd
(Last - First + 1)
1

3. A ratio that shows the cost per unit of measure
unit ratio
The rule for adding negative integers is the same as the rule for adding positive integers:
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Unit Price x Qty. Sold

4. A polygon with five sides
Unit Cost + Markup
pentagon
Odd
integer or whole number

5. A number with an exponent of 3 is often said to be
cubed
x-axis
greatest common factor (GCF)
y-axis

6. Part of the population that is studied to find the characteristics of the whole population.
Computation
sample
When numbers do not divide evenly
UnitPrice ($/unit) x Qty.Purchas'd (units)

7. Multiply both the numerator and denominator by the same integer value.
ordered pair
Even or Non-Int
obtuse angle
To convert any fraction to higher terms

8. A statement that needs to be demonstrated and is called in Latin demonstrandum.
(Last - First + 1)
Species
theorem
supplementary angles

9. Is Always perpendicular (at 90 deg. to) the base!
The height of a triangle
Step 2 of Converting Improper Fractions to Mixed Numbers
integer values
greatest common factor (GCF)

10. Two numbers are said to be equal (=) when they are at
perimeter
The Decimal Numbering System
Aliquot Part
the same point on the number line

11. A number is increased by 25%... what must you reduce the new number by to get the old number again?
product
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
( (Last - First) / Increment ) + 1
common factor

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 intege
When the addends have opposite signs one is + and the other is -
they have the same absolute value
There are two parts in the procedure for subtracting signed integers:
equal to itself.

13. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
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.
change the operation from subtraction to addition
roots of numbers
(Last - First + 1)

14. What's the reciprocal of v6 - and why?
change the operation from subtraction to addition
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
Original + Change = New Change/Original = Percent Change
integer or whole number

15. Odd / Even = ? e.g. 9/6 = 1.5
1 - (y/100)
Non-Int
A = (Base x Height) / 2 - A = (BH)/2
Known (Given) and Unknown (Sought)

16. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
Odd
isosceles triangle
2 and/or 5 only
radius

17. The upper number in a fraction is the
x = (+-) a
numerator
A = (D1 x D2) / 2
hexagon

18. The lower number in a fraction is the
quotient
vertex (vertices - plural)
denominator
Even - Odd or Non-Int

19. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
difference
Inserting a zero at the right end of a whole number
parallelogram
Step 2 of Converting mixed numbers to improper fractions

20. 1/2 - 1/3 - 2/3 - -5/8
Proof
proper fractions
least common multiple (LCM)
mixed number

21. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Axiom IV.
Parts
Decreases
range

22. 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
lowest terms
proper fraction
Subtracting Signed Integers
To add integers that have opposite signs:

23. In order to understand and use exponents that are fractions or decimals - you must first know about
quadrilateral
theorem
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
roots of numbers

24. A triangle with two equal sides and two equal angles
isosceles triangle
right triangle
Axiom IV.
0

25. If 2 numbers are OPPOSITES of each other
they have the same absolute value
To make sure to solve for Both cases.
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
range

26. The vertical number line of a coordinate graph
improper fraction
Axiom X.
Unit Price x Qty. Sold
y-axis

27. Anything that may be increased or diminished
Decreases
Wage Rate ($ per hr) x Hrs worked
Quantity
To convert any fraction to higher terms

28. One number is said to be greater than (>) another when it is
quotient
farther to the right on the number line.
commutative law of multiplication
range

29. What is the perimeter of a Polygon?
rate
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
perimeter
Species

30. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
isosceles triangle
To add integers that have the same sign both positive or both negative:
0.625

31. Can have many different combinations of factors
putting that number over 1
UnitPrice ($/unit) x Qty.Purchas'd (units)
To add integers that have the same sign (both positive or both negative):
Composite number

32. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
quotient
Increases the value.
Unit Cost + Markup
polygon

33. The four Mathematical arts are:
Aliquot and Aliquant Parts
Arithmetic - Music - Geometry and Astronomy
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
Any value multiplied by one

34. 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
numerator
Change + - Original = New
2^3 = 8
when there are explicit or implicit equations in the problem:

35. Surface space that is measured in square units
dividend
Reducing fractions
area
The concept of trading decimal places and how it works

36. The distance around a circle (the perimeter of a circle)
circumference
reciprocal
numerator
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

37. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
2
The bottom side of the triangle
Step 2 of Converting mixed numbers to improper fractions
dividend

38. In a division problem - it's the number being divided
median
dividend
hexagon
Number

39. ' x percent' = ?
difference
A = (Diagonal1 x Diagonal2) / 2
x/100
Percent Change

40. Always perform the operations
Mathematics
Number Systems
factoring
from left to right

41. The ratio of a number to 100 (per one hundred); the symbol %
Even - Odd or Non-Int
percent
change the operation from subtraction to addition
Equal

42. Method: convert Decimal to Percent?
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?
Number Systems
Shift DP 2 places right
multiplicand

43. The largest single factor for two or more numbers.
mixed number
Aliquot Part
greatest common factor (GCF)
right triangle

44. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
Even
exactly the same portion
Sale Price - Unit Cost
Axiom VII.

45. The absolute value of the numerator is smaller than the absolute value of the denominator.
Increases the value.
proper fraction
Terminating decimal
reflection

46. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
area
Odd
the same point on the number line
Change + - Original = New

47. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
When numbers do not divide evenly
composite number
Axiom VI.

48. A Polygon is a closed shape formed by
lowest terms
Absolute and Relative
Line Segments
equal to 1

49. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Axiom VIII.
quadrilateral
Species
Is zero

50. Adding integers that have opposite signs means
vertex (vertices - plural)
inverse operations
congruent
one is positive and the other is negative