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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. Includes an integer as well as a fractional part
Composite number
lowercase Variables
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
mixed number

2. The denominator of the fraction part of the mixed number is
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.
combination of addition and subtraction
the denominator of the original improper fraction
Multitudes and Magnitudes

3. A value such as 5^2 can be called

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4. 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?
supplementary angles
Decreases
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.
There are two parts in the procedure for subtracting signed integers:

5. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Inserting a zero at the left end of a whole number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
lowest terms
Aliquant Part

6. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
perimeter
2
Same units
area

7. Signs of grouping may be nested
reflection
Change + - Original = New
rectangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

8. Lines in the same plane that do not intersect. The symbol //
Some integer/Some Power of 10
parallel lines
the Complement of that part to the whole
Different Units

9. What is the formula forCounting consecutive multiples?
Wage Rate ($ per hr) x Hrs worked
cylinder
Axiom VI.
( (Last - First) / Increment ) + 1

10. Is the disagreement of things in Quantity.
Aliquot Part
Inequality
reciprocal
Converting Improper Fractions to Mixed Numbers

11. Total Sales or Revenue = ?
When to use fractions
supplementary angles
Unit Price x Qty. Sold
1 and itself

12. Having the same value
equivalent
isosceles triangle
Power notation
area

13. An eight-sided polygon
octagon
The Ratio of Any two of the following: Original - Change and New
Inserting a zero at the left end of a whole number
Known (Given) and Unknown (Sought)

14. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
To add integers that have the same sign both positive or both negative:
acute angle
lowest terms

15. 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
( (Last - First) / Increment ) + 1
Subtracting Signed Integers
Terminating decimal
Equal

16. A ratio that compares two different types of quantities
1 and itself
rate
Percent Change
Axiom II.

17. To indicate the addition operation- to indicate a positive integer value
Composite number
squared
Non-Int
A plus sign (+) is used for two entirely different purposes:

18. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
area
vertex (vertices - plural)
When numbers do not divide evenly
complementary angles

19. 1 to any power is equal to
Equality
Known (Given) and Unknown (Sought)
'six cubed'
1

20. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
rectangle
Subtracting Signed Integers
Adding negative integers will always produce a negative sum
radius

21. Method: convert Decimal to Percent?
To add integers that have the same sign (both positive or both negative):
Odd
Shift DP 2 places right
obtuse angle

22. What are the 3 main formulaic properties of evenly-spaced sets?
improper fraction
quotient
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
squared

23. Percent Decrease Formula ?
Original x (1 - x/100) = New
ratio
polygon
A = (Diagonal1 x Diagonal2) / 2

24. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
cubed
Long Division
lowercase Variables
Change + - Original = New

25. 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
right triangle
mixed 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?
Positive-value integers

26. Reversed position or direction
vertex (vertices - plural)
When to use fractions
Magnitude
inverse

27. Why are Even Exponents dangerous?
A = (Base x Height) / 2 - A = (BH)/2
multiplier
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!

28. A parallelogram with four right angles
rectangle
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Quantity
absolute value

29. A mirror image of a figure shown over a line of reflection
mixed number
reflection
Unit Price x Qty. Sold
referred to Unity in the same way

30. The number to be multiplied by is called the
Step 1 of Converting mixed numbers to improper fractions
To add integers that have the same sign both positive or both negative:
multiplier
Terminating decimal

31. A fraction with all common factors (other than 1) factored out of the numerator and denominator
reciprocal
lowest terms
proper fraction
Unit Cost + Markup

32. In a group of values - the value that occurs most often
mode
Magnitude at Rest and Magnitude in Motion
Odd
acute angle

33. When working with nested signs of grouping
always clear the innermost groups first
like fractions
factors of the multiplication operation
multiplier

34. Includes an integer as well as a fractional part
factoring
mixed fraction
Negative-value integers
The Ratio of Any two of the following: Original - Change and New

35. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Known (Given) and Unknown (Sought)
absolute value
Mathematics
Step 1 of Converting mixed numbers to improper fractions

36. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Adding negative integers will always produce a negative sum
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
octagon
pentagon

37. The whole-number part of the mixed number is the whole-number part of the
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
circumference
quotient
radius

38. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
both integers are positive or both are negative
Fractions allow you to plot values between whole numbers and integers.
Decreases
one is positive and the other is negative

39. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
exponent
square unit
y-coordinate
radius

40. The formula for the Area of a Rhombus is?
'five squared'
Axiom X.
A = (Diagonal1 x Diagonal2) / 2
Wage Rate ($ per hr) x Hrs worked

41. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
hexagon
lowercase Variables
Negative-value integers

42. Two angles whose sum is 180 degrees
supplementary angles
the same point on the number line
greatest common factor (GCF)
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

43. A statement that needs to be demonstrated and is called in Latin demonstrandum.
theorem
numerator
prime factorization
'six cubed'

44. What is the formula forCounting consecutive integers?
quadrant
(Last - First + 1)
Every integer between 1 and X - inclusive - must be a factor of X
square root

45. A number with an exponent of 3 is often said to be
Step 2 of Converting mixed numbers to improper fractions
cubed
Quantity is expressed
2 and/or 5 only

46. To make a fraction easier to work with by taking out common factors
y-coordinate
Known quantities
simplify
Carry the 10's digit of the product to the top of the 10's column of factors.

47. An eight-sided polygon
isosceles triangle
cylinder
y-axis
octagon

48. A polygon with five sides
pentagon
Whole
octagon
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

49. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
mean
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
More
mixed fraction

50. The method for indicating the power of a number
Composite number
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
parallelogram
Power notation