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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. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
exactly the same portion
greatest common factor (GCF)
parallel lines
Axiom VI.

2. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
(Last - First + 1)
Step 2 of Converting mixed numbers to improper fractions
divisor
factor

3. 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.
the Complement of that part to the whole
Even
quotient
Multitudes and Magnitudes

4. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
pi
Converting mixed numbers to improper fractions.
hexagon

5. Having the same size and shape
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
angle
Zero (0)
congruent

6. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Odd
Known quantities
A plus sign (+) is used for two entirely different purposes:
Greater

7. Is the disagreement of things in Quantity.
Inequality
probability
Evaluating Powers With Negative Exponents
mode

8. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Number Systems
diameter
circumference

9. What's the reciprocal of v6 - and why?
divisor
exponent
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
parallelogram

10. Surface space that is measured in square units.
area
Evaluating Powers With Negative Exponents
Inequality
Step 2 of Converting mixed numbers to improper fractions

11. Having the same size and shape
mean
0
prime number
congruent

12. Species of Quantities are signified by
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.
lowercase letters
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
Parts

13. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
least common multiple (LCM)
Decimals/Percents
Decreases
x-axis

14. The number to be multiplied by is called the
referred to Unity in the same way
cubed
Greater
multiplier

15. In a division problem - it's the number being divided
equation
dividend
A = (Diagonal1 x Diagonal2) / 2
supplementary angles

16. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
simplify
composite number
Decreases
To add integers that have the same sign (both positive or both negative):

17. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
quadrilateral
squared
Step 2 of Converting Improper Fractions to Mixed Numbers
scalene triangle

18. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
absolute value
x-coordinate
To add integers that have the same sign (both positive or both negative):

19. The four Mathematical arts are:
perimeter
Arithmetic - Music - Geometry and Astronomy
2^3 = 8
Zero (0)

20. The denominator of the fraction part of the mixed number is
(Last - First + 1)
the denominator of the original improper fraction
simplify
octagon

21. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
percent
Step 1 of Converting mixed numbers to improper fractions
prism
order of operations

22. A comparison of the two values of two numbers
mixed number
ratio
farther to the right on the number line.
proper fraction

23. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Axiom VIII.
Different Units
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
simplify

24. Part of the population that is studied to find the characteristics of the whole population.
sample
parallel lines
How the Last Digit Shortcut works
The Decimal Numbering System

25. The formula for the Area of a Rhombus is?
( (Last - First) / Increment ) + 1
A = (Diagonal1 x Diagonal2) / 2
A sum of 2 primes is Odd
probability

26. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Same units
quotient
Mathematics

27. 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.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
whether the addends have the same sign or opposite signs
The concept of trading decimal places and how it works
Proof

28. The whole is equal to all of its parts taken together.
Axiom V.
Unit Price x Qty. Sold
Even
mixed fractions

29. When working with nested signs of grouping
Unit Price x Qty. Sold
combination of addition and subtraction
always clear the innermost groups first
parallelogram

30. 'y percent less than' = ?
1 - (y/100)
Odd
proper fractions
base

31. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
The sum of all the integers from 20 to 100 - inclusive
referred to Unity in the same way
Long Division
2^3 = 8

32. 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.
equivalent
range
composite number
Unity - or a Unit

33. Odd x ? = Even
To find out - easily - if one fraction is bigger than another
Even
Is zero
rate

34. The sum of a group of numbers divided by the number of numbers. Also known as the average.
right triangle
quadrilateral
Step 1 of Converting Improper Fractions to Mixed Numbers
mean

35. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Unit Cost + Markup
x = (+-) a
2 and/or 5 only
When the addends have the same sign both + or both -

36. All whole numbers (both positive and negative) and zero.
Wage Rate ($ per hr) x Hrs worked
Number
integers
reduced fraction

37. Two angles whose sum equals 90 degrees
complementary angle
proper fraction
One... the number 2
isosceles triangle

38. 5/8 --> Decimal ?
mean
contains only a single number
mixed fractions
0.625

39. An angle measuing more than 0 degrees and less than 90 degrees
Odd or Non-Int
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
acute angle
2

40. Is the opposite of raising fractions to higher terms.
polygon
absolute value
Reducing fractions
1

41. One number is said to be greater than (>) another when it is
farther to the right on the number line.
factors of the multiplication operation
always clear the innermost groups first
Wage Rate ($ per hr) x Hrs worked

42. 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
When to use the Heavy Division Shortcut - and how to do it
lowercase Variables
When the addends have the same sign both + or both -
range

43. Indicates the number to be multiplied
factors of the multiplication operation
base
Always completed first
x/100

44. Is Always perpendicular (at 90 deg. to) the base!
radius
The height of a triangle
Number
The rule for adding negative integers is the same as the rule for adding positive integers:

45. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
higher terms
Step 1 of Converting mixed numbers to improper fractions
Odd
least common multiple (LCM)

46. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
Greater
dividend
axiom

47. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd
Odd or Non-Int
0.625
multiplicand

48. Cross-multiply
denominator
Homogenous or Heterogenous
A = (Base x Height) / 2 - A = (BH)/2
To find out - easily - if one fraction is bigger than another

49. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
prism
Evaluating Powers With Negative Exponents
Unity - or a Unit
Odd

50. The distance around a figure
y-axis
To add integers that have the same sign both positive or both negative:
mixed fraction
perimeter