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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. The two kinds of Quantity are
A = (Base x Height) / 2 - A = (BH)/2
Multitudes and Magnitudes
Even
'six cubed'

2. 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
Even
Any value multiplied by one
reduced fraction
When to use the Heavy Division Shortcut - and how to do it

3. The numerator is greater than - or equal to - the denominator
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Mathematics
improper fraction

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
Alternative to the algebraic manipulation method to solving a VIC
Positive-value integers
'five squared'
fraction or broken number

5. The whole-number part of the mixed number is the whole-number part of the
radius
A = (Diagonal1 x Diagonal2) / 2
prime factors
quotient

6. An angle measuring more than 90 degrees and less than 180 degrees
exactly the same portion
supplementary angles
obtuse angle
improper fractions

7. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Step 1 of Converting Improper Fractions to Mixed Numbers
farther to the left on the number line
x/100
change the operation from subtraction to addition

8. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
The Decimal Numbering System
Known (Given) and Unknown (Sought)
Axiom V.

9. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
when there are explicit or implicit equations in the problem:
Reducing: The Brute-Force Method
( (Last - First) / Increment ) + 1
Aliquot and Aliquant Parts

10. The ratio of integers that results in a terminating decimal
numerator
change the operation from subtraction to addition
circumference
Some integer/Some Power of 10

11. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
Change + - Original = New
denominator
simplify

12. In order to understand and use exponents that are fractions or decimals - you must first know about
enclosing the numbers in a pair of vertical lines | |
Even and Odd
roots of numbers
square root

13. 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
square unit
A = (Base x Height) / 2 - A = (BH)/2
Converting Improper Fractions to Mixed Numbers
Sum of Interior Angles of a Polygon: (n - 2) x 180

14. 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
obtuse angle
There are two parts in the procedure for subtracting signed integers:
Computation
Shift DP 2 places left

15. A number that is not a prime number is called a
composite number
2^3 = 8
mean
Multitude

16. Part of the population that is studied to find the characteristics of the whole population.
proper fraction
quadrilateral
lowest terms
sample

17. An angle that measures 90 degrees
percent
right angle
Even or Non-Int
Axiom VII.

18. Species are distinguished into
(Last - First + 1)
Axiom III.
circumference
Known (Given) and Unknown (Sought)

19. When working with nested signs of grouping
order of operations
equal to itself.
always clear the innermost groups first
The sum of all the integers from 20 to 100 - inclusive

20. Rules that tell which steps to follow when solving an expression
Odd
obtuse angle
order of operations
rectangle

21. The absolute value of numbers is indicated by
change the operation from subtraction to addition
equivalent
referred to Unity in the same way
enclosing the numbers in a pair of vertical lines | |

22. Total Sales or Revenue = ?
ordered pair
Reducing by the Largest Common Factor (LCF)
quotient
Unit Price x Qty. Sold

23. The number being multiplied is called the
Odd
multiplicand
scalene triangle
equal to 1 divided by that number with a positive exponent

24. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
product
improper fractions
Converting mixed numbers to improper fractions.

25. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
scale drawing
x-coordinate
There are two parts in the procedure for subtracting signed integers:
Relative multitude

26. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
When you are absolutely sure the variable or expression <> 0
y-coordinate
Sum of Interior Angles of a Polygon: (n - 2) x 180
Axiom I.

27. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
change the operation from subtraction to addition
divisor
lowercase letters
Even or Non-Int

28. A mirror image of a figure shown over a line of reflection
Unit Price x Qty. Sold
reflection
polygon
range

29. The whole is more or greater than its part.
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
Axiom IV.
mixed fraction
Inequality

30. Is equal to zero. 0 x a = 0
Converting Improper Fractions to Mixed Numbers
the Complement of that part to the whole
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
Zero multiplied by any value

31. The numerator of the fraction part of the mixed number is the remainder from the
quotient
integer values
To find out - easily - if one fraction is bigger than another
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

32. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
proportion
unit ratio
rate
radius

33. A quadrilateral with one pair of parallel sides
trapezoid
(Last - First + 1)
x-axis
Odd

34. Rules that tell which steps to follow when solving an expression.
parallelogram
order of operations
one is positive and the other is negative
Change / Original Formula?

35. Switch to a number-picking strategy
Odd or Non-Int
Line Segments
Alternative to the algebraic manipulation method to solving a VIC
base

36. Things are Equal in Multitude when they are
improper fraction
Sum of Interior Angles of a Polygon: (n - 2) x 180
hexagon
referred to Unity in the same way

37. The numerator is smaller than the denominator
2
equal to itself.
dividing the numerator and denominator by the same number
proper fraction

38. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
improper fraction
2
Equality
Number

39. An evenly-spaced set is fully-defined if what is known...?
denominator
integers
x = (+-) a
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

40. The vertical number line of a coordinate graph
Axiom III.
y-axis
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
squared

41. What is the formula forCounting consecutive multiples?
Positive-value integers
( (Last - First) / Increment ) + 1
mixed number
Is zero

42. Every quantity is equal to itself.
dividend
The sum of all the integers from 20 to 100 - inclusive
Axiom II.
'five squared'

43. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
integer or whole number
obtuse angle
A = (Diagonal1 x Diagonal2) / 2

44. The result of muliplying two or more numbers
product
simplify
dividend
Adding negative integers will always produce a negative sum

45. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Species
Reducing by the Largest Common Factor (LCF)
theorem
Even

46. Adding integers that have opposite signs means
Axiom VI.
Multitude
one is positive and the other is negative
acute angle

47. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Odd
To add integers that have the same sign both positive or both negative:
Greater
Inserting a zero at the right end of a whole number

48. Operations enclosed in a sign of grouping
The Ratio of Any two of the following: Original - Change and New
area
0
Always completed first

49. Profit = ?
quadrant
0.625
Revenue ($) - Cost ($)
exactly the same portion

50. An eight-sided polygon
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
'six cubed'
octagon
Axiom IX.