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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. What is the formula forCounting consecutive integers?
order of operations
(Last - First + 1)
Absolute and Relative
x-axis

2. Any number with a negative exponent
acute angle
Odd
complementary angles
equal to 1 divided by that number with a positive exponent

3. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Reducing fractions
Greater
area
Inserting a zero at the left end of a whole number

4. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
rhombus
Odd
'five squared'
Every integer between 1 and X - inclusive - must be a factor of X

5. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Being divided by a power of 10
Even
Relative multitude
Original + Change = New Change/Original = Percent Change

6. TotalCost($) = ?

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7. The numerator is greater than - or equal to - the denominator
parallelogram
always clear the innermost groups first
improper fraction
Inserting a zero at the left end of a whole number

8. The absolute value of numbers is indicated by
order of operations
enclosing the numbers in a pair of vertical lines | |
change the operation from subtraction to addition
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

9. An angle measuring more than 90 degrees and less than 180 degrees
Step 1 of Converting Improper Fractions to Mixed Numbers
obtuse angle
factoring
squared

10. Change / Original Formula
2
Proof
Change + - Original = New
A minus sign ( - ) is used for two entirely different purposes:

11. Rules that tell which steps to follow when solving an expression.
order of 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
putting that number over 1
product

12. The terms Species and Number
Both
like fractions
Quantity is expressed
Magnitude

13. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Equality
mode
Step 2 of Converting mixed numbers to improper fractions
Number Systems

14. Taken together - the multiplicand and multiplier are known as
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
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
Even - Odd or Non-Int
factors of the multiplication operation

15. Original x (1 - x/100) = New
scalene triangle
Aliquot and Aliquant Parts
Fractions allow you to plot values between whole numbers and integers.
Percent Decrease Formula

16. The four Mathematical arts are:
quadrant
Arithmetic - Music - Geometry and Astronomy
sum
Carry the 10's digit of the product to the top of the 10's column of factors.

17. Odd x ? = Even
Even
factoring
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
5/8

18. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
divisor
reflection
( (Last - First) / Increment ) + 1

19. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
acute angle
circumference
Step 1 of Converting Improper Fractions to Mixed Numbers

20. A quadrilateral with two pairs of congruent - parallel sides.
scalene triangle
pyramid
parallelogram
Composite number

21. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
perimeter
the Complement of that part to the whole
Original + Change = New Change/Original = Percent Change

22. To indicate the subtraction operation - to indicate a negative integer value
Axiom VIII.
polygon
A minus sign ( - ) is used for two entirely different purposes:
equal to itself.

23. The distance around a circle (the perimeter of a circle).
x = (+-) a
5/8
scale drawing
circumference

24. A triangle with one right angle
right triangle
equal to itself.
Power notation
change the operation from subtraction to addition

25. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Equality
order of operations
polygon
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

26. The amount that remains after one number has been subtracted from another
lowercase Variables
median
difference
Every integer between 1 and X - inclusive - must be a factor of X

27. No integer (except 1) that divides evenly into both the numerator and denominator.
prism
quotient
improper fraction
reduced fraction

28. A unit for measuring area
How the Last Digit Shortcut works
simplify
square unit
There are two parts in the procedure for subtracting signed integers:

29. 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.
exponent
composite number
Converting mixed numbers to improper fractions.
product

30. In order to understand and use exponents that are fractions or decimals - you must first know about
right angle
simplify
expression
roots of numbers

31. Every lesser number is contained in a greater more than once.
Axiom VIII.
2 and/or 5 only
quotient
least common multiple (LCM)

32. Area of a Rhombus is?
equal to 1 divided by that number with a positive exponent
rate
circumference
A = (D1 x D2) / 2

33. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
polygon
improper fraction
polygon
the Complement of that part to the whole

34. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
2
roots of numbers
Even - Odd or Non-Int

35. Any number with an exponent of 0
median
equal to 1
Terminating decimal
quadrant

36. What is the formula forCounting consecutive multiples?
combination of addition and subtraction
area
both integers are positive or both are negative
( (Last - First) / Increment ) + 1

37. Includes an integer as well as a fractional part
when there are explicit or implicit equations in the problem:
mixed fraction
radius
Even

38. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
proper fractions
exactly the same portion
Even - Odd or Non-Int
To add integers that have opposite signs:

39. 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
Quantity is expressed
congruent
equal to itself.

40. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
cross product
x = (+-) a
The height of a triangle
Inserting a zero at the right end of a whole number

41. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
whether the addends have the same sign or opposite signs
change the operation from subtraction to addition
Axiom I.
Reducing fractions

42. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
equal to itself.
squared
median
Unit Cost + Markup

43. 'y percent less than' = ?
1 - (y/100)
2^3 = 8
Quantity is expressed
Even

44. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
reflection
numerator
Mathematics
1

45. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
62.5%
Magnitude at Rest and Magnitude in Motion
The rule for adding negative integers is the same as the rule for adding positive integers:
trapezoid

46. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Arithmetic - Music - Geometry and Astronomy
Proof
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.
Unit Price x Qty. Sold

47. The exact procedure for adding signed integers depends upon
whether the addends have the same sign or opposite signs
ratio
Same units
Quantity

48. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
quadrilateral
To square an equation to solve it
2

49. When working with nested signs of grouping
referred to Unity in the same way
lowercase letters
always clear the innermost groups first
Converting mixed numbers to improper fractions.

50. The study of quantity
Mathematics
Adding negative integers will always produce a negative sum
Negative-value integers
percent