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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. Switch to a number-picking strategy
A minus sign ( - ) is used for two entirely different purposes:
Odd
acute angle
Alternative to the algebraic manipulation method to solving a VIC

2. The distance around a figure
unit ratio
perimeter
Greater
trapezoid

3. Expresses fractional parts that are greater than 1.
mixed number
straight angle
Odd
Even - Odd or Non-Int

4. The base of a triangle refers to?
rate
The bottom side of the triangle
improper fraction
Odd

5. Two or more fractions that have the same denominator
denominator
pyramid
like fractions
1

6. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
More
denominator
congruent
exactly the same portion

7. The Only possible factors for a prime number are
62.5%
1 and itself
diameter
one is positive and the other is negative

8. The Sum of n consecutive integers is divisible by n if n is
To add integers that have opposite signs:
Odd
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Change + - Original = New

9. Two angles whose sum is 180 degrees
always clear the innermost groups first
1 and itself
Composite number
supplementary angles

10. Rules that tell which steps to follow when solving an expression.
order of operations
equivalent
area
Any value multiplied by one

11. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
prime factorization
denominator
Reducing fractions
acute angle

12. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
mean
To add integers that have the same sign both positive or both negative:
equal to 1 divided by that number with a positive exponent
Converting mixed numbers to improper fractions.

13. When working with nested signs of grouping
The height of a triangle
Unity - or a Unit
always clear the innermost groups first
reciprocal

14. A quadrilateral with one pair of parallel sides
product
trapezoid
Is zero
( (Last - First) / Increment ) + 1

15. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Even
0.625
mixed fractions
Proof

16. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
supplementary angles
To add integers that have the same sign both positive or both negative:
(Last - First + 1)
The bottom side of the triangle

17. The Sum of n consecutive integers is Not divisible by n if n is
How the Last Digit Shortcut works
x-axis
Unit Cost + Markup
Even

18. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
1 - (y/100)
Wage Rate ($ per hr) x Hrs worked
How the Last Digit Shortcut works
trapezoid

19. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
mean
inverse operations
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
product

20. The difference between the least and greatest values in a set of numbers
range
Axiom V.
The height of a triangle
Multitude

21. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
Axiom IV.
Converting mixed numbers to improper fractions.
acute angle

22. A ratio that compares two different types of quantities
isosceles triangle
rate
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?
dividend

23. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Number
y-coordinate
polygon
contains only a single number

24. What are the 2 'percent change' equations?
multiplier
Original + Change = New Change/Original = Percent Change
1
Number Systems

25. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
circumference
dividend
absolute value

26. In a group of values - the value that occurs most often
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
Unit Price x Qty. Sold
mode
lowercase letters

27. Every lesser number is contained in a greater more than once.
Unit Price x Qty. Sold
Axiom VIII.
when there are explicit or implicit equations in the problem:
integer values

28. Method: convert Percent to Decimal?
prism
equilateral triangle
common factor
Shift DP 2 places left

29. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
quadrilateral
range
x-coordinate
To add integers that have the same sign (both positive or both negative):

30. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
divisor
Axiom III.
More
Even or Non-Int

31. An angle measuring more than 90 degrees and less than 180 degrees
reduced fraction
Axiom X.
Quantity is expressed
obtuse angle

32. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
absolute value
The concept of trading decimal places and how it works
mixed number
right triangle

33. Having the same value
Converting Improper Fractions to Mixed Numbers
equivalent
angle
Aliquot Part

34. The result of the multiplication is called the
prime factors
Number
product
One... the number 2

35. 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
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?
percent
Wage Rate ($ per hr) x Hrs worked

36. A whole number that has only one set of factors - itself and 1.
prime number
squared
When numbers do not divide evenly
mean

37. The difference between the least and greatest values in a set of numbers.
inverse
range
mode
One... the number 2

38. The smallest multiple that two or more numbers have in common
mixed fractions
least common multiple (LCM)
Every integer between 1 and X - inclusive - must be a factor of X
'five squared'

39. 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.
acute angle
vertex (vertices - plural)
Odd
The Decimal Numbering System

40. 3 ways to solve an absolute value inequality
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
A = (Base x Height) / 2 - A = (BH)/2
0.625
Axiom I.

41. A unit for measuring area
least common multiple (LCM)
complementary angles
Increases the value.
square unit

42. 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.
( (Last - First) / Increment ) + 1
higher terms
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Change + - Original = New

43. 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.
Axiom IV.
1 and itself
composite number
unit ratio

44. Any value divided by one
To make sure to solve for Both cases.
acute angle
Is equal to the original value
obtuse angle

45. The ratio of a number to 100 (per one hundred); the symbol %
multiplicand
Decreases
percent
To make sure to solve for Both cases.

46. The action of the mind whereby a quantity is measured by Unity or a Unit.
Axiom IV.
Computation
factoring
quotient

47. The result of multiplying two or more numbers.
they have the same absolute value
Unit Price x Qty. Sold
product
Reducing by the Largest Common Factor (LCF)

48. A polygon with five sides
Reducing by the Largest Common Factor (LCF)
Both
Carry the 10's digit of the product to the top of the 10's column of factors.
pentagon

49. What is the formula forCounting consecutive integers?
(Last - First + 1)
mixed fraction
Some integer/Some Power of 10
Axiom IX.

50. Any number with an exponent of 0
'six cubed'
equal to 1
axiom
Even