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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. When will a decimal terminate and why?
Percent Decrease Formula
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
like fractions
combination of addition and subtraction

2. A line segment that passes through the center of a circle and has its endpoints on the circle
cylinder
Original + Change = New Change/Original = Percent Change
diameter
Change / Original Formula?

3. 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):
simplify
referred to the same Unit
Axiom II.

4. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
base
parallelogram
angle

5. A solid figure that has triangles for its sides and a polygon as its base
pyramid
polygon
Is zero
Reducing fractions

6. Two angles whose sum is 180 degrees
reciprocal
quotient
contains only a single number
supplementary angles

7. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
trapezoid
congruent
How the Last Digit Shortcut works
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.

8. Any value divided by one
1
Is equal to the original value
quotient
perimeter

9. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Magnitude
median
Odd
supplementary angles

10. All the positive whole numbers
The height of a triangle
vertex (vertices - plural)
integer values
When the addends have opposite signs one is + and the other is -

11. Even X Even = ? ... and is div. by ?
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
Zero (0)
lowest terms
Even div. by 4

12. Percent Decrease Formula ?
Original x (1 - x/100) = New
equal to 1
0.625
Known quantities

13. Total Sales or Revenue = ?
Even or Non-Int
product
1
Unit Price x Qty. Sold

14. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Percent Decrease Formula
2 and/or 5 only
unit ratio
To square an equation to solve it

15. Having the same value
x-axis
proper fraction
Equal
equivalent

16. A number with an exponent of 2 is often said to be
percent
Species
squared
perimeter

17. The difference between the least and greatest values in a set of numbers
inverse operations
unit ratio
Original + Change = New Change/Original = Percent Change
range

18. A polygon that has four sides.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Known (Given) and Unknown (Sought)
Computation
quadrilateral

19. Whole is equal in Multitude to a Part of the other.
when there are explicit or implicit equations in the problem:
The height of a triangle
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Equal

20. Is ZERO positive or negative - both - or none?
Both
To add integers that have the same sign both positive or both negative:
trapezoid
straight angle

21. Everything may be assumed as unity.
prime factorization
Unity - or a Unit
Inserting a zero at the left end of a whole number
Axiom I.

22. Includes an integer as well as a fractional part
How the Last Digit Shortcut works
x-coordinate
mixed fraction
least common multiple (LCM)

23. One number is said to be greater than (>) another when it is
Axiom I.
Aliquot Part
reflection
farther to the right on the number line.

24. The absolute value of numbers is indicated by
base
Even
multiplier
enclosing the numbers in a pair of vertical lines | |

25. The base of a triangle refers to?
hexagon
The bottom side of the triangle
Aliquant Part
To make sure to solve for Both cases.

26. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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27. 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.
composite number
similar figures
prime factors
cylinder

28. When the factors of a number are all prime numbers - the factors are said to be the
Aliquot Part
Step 2 of Converting Improper Fractions to Mixed Numbers
The bottom side of the triangle
prime factors

29. A ratio that shows the cost per unit of measure
unit ratio
To make sure to solve for Both cases.
composite number
common denominator

30. The result of the division called the
exactly the same portion
When to use fractions
quotient
proportion

31. A mathematical sentence that uses an equal sign
parallelogram
equation
straight angle
denominator

32. Two numbers listed in a specific order; it describes a point on the coordinate graph
x-axis
dividend
ordered pair
Number

33. The horizontal number line of a coordinate graph
Positive-value integers
x-axis
Power notation
equation

34. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
(Last - First + 1)
Subtracting Signed Integers
exactly the same portion
inverse

35. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
change the operation from subtraction to addition
y-coordinate
referred to the same Unit
1 - (y/100)

36. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Odd or Non-Int
Sale Price - Unit Cost
Whole

37. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
sample
referred to Unity in the same way
axiom

38. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
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.
ratio
Magnitude
circumference

39. No integer (except 1) that divides evenly into both the numerator and denominator.
The bottom side of the triangle
reduced fraction
Percent Decrease Formula
Adding negative integers will always produce a negative sum

40. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Subtracting Signed Integers
Aliquant Part
y-axis
Step 2 of Converting Improper Fractions to Mixed Numbers

41. Reducing fractions is
Negative-value integers
equivalent
dividing the numerator and denominator by the same number
roots of numbers

42. Adding integers that have opposite signs means
one is positive and the other is negative
Aliquot and Aliquant Parts
The sum of all the integers from 20 to 100 - inclusive
Positive-value integers

43. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
like fractions
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?
Composite number
acute angle

44. In a group of values - the value that occurs most often
More
mode
Magnitude at Rest and Magnitude in Motion
Aliquot Part

45. Species are distinguished into
Known (Given) and Unknown (Sought)
Aliquant Part
proportion
( (Last - First) / Increment ) + 1

46. An angle that measures 90 degrees
right angle
Magnitude
Equality
percent

47. The ratio of integers that results in a terminating decimal
1
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Some integer/Some Power of 10
simplify

48. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
integer or whole number
parallelogram
Quantity is expressed

49. To indicate the subtraction operation - to indicate a negative integer value
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.
To add integers that have opposite signs:
A minus sign ( - ) is used for two entirely different purposes:
sample

50. A number that when multiplied by itself results in the original number
square root
The Ratio of Any two of the following: Original - Change and New
isosceles triangle
Sale Price - Unit Cost