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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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1. An equation stating that two ratios are equal
pentagon
'five squared'
acute angle
proportion

2. All whole numbers (both positive and negative) and zero.
scalene triangle
Terminating decimal
integers
Mathematics

3. The horizontal number line of a coordinate graph
mode
the Complement of that part to the whole
x-axis
Inequality

4. A number that when multiplied by itself results in the original number
improper fractions
Even
square root
Original + Change = New Change/Original = Percent Change

5. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
Known (Given) and Unknown (Sought)
Shift DP 2 places left
x-axis
The sum of all the integers from 20 to 100 - inclusive

6. 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.
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
prime factors
Aliquant Part
prism

7. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
quotient
Odd
scale drawing
improper fraction

8. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
UnitPrice ($/unit) x Qty.Purchas'd (units)
complementary angle
Wage Rate ($ per hr) x Hrs worked

9. Total Earnings ($) = ?
referred to Unity in the same way
Wage Rate ($ per hr) x Hrs worked
Even
denominator

10. Having the same size and shape
congruent
0
Multitude
pi

11. 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.
0
composite number
To add integers that have the same sign (both positive or both negative):
hexagon

12. 0.625 --> Fraction ?
lowest terms
5/8
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
reduced fraction

13. A quadrilateral with two pairs of congruent - parallel sides.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
mixed number
parallelogram
Decimals/Percents

14. A triangle with two equal sides and two equal angles
factoring
Always completed first
difference
isosceles triangle

15. The lower number in a fraction is the
Different Units
pentagon
denominator
right angle

16. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
simplify
Change / Original Formula?
mode
To add integers that have the same sign both positive or both negative:

17. Any number with a negative exponent
Is equal to the original value
the denominator of the original improper fraction
equal to 1 divided by that number with a positive exponent
Wage Rate ($ per hr) x Hrs worked

18. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
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
Both
whether the addends have the same sign or opposite signs
More

19. The whole is equal to all of its parts taken together.
A = (Base x Height) / 2 - A = (BH)/2
Number
Axiom V.
Shift DP 2 places right

20. Every quantity is equal to itself.
Axiom II.
Terminating decimal
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
expression

21. TotalCost($) = ?

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22. The process of breaking a number down into its factors is called
pi
5/8
similar figures
factoring

23. The exact procedure for adding signed integers depends upon
The Ratio of Any two of the following: Original - Change and New
whether the addends have the same sign or opposite signs
Zero multiplied by any value
Revenue ($) - Cost ($)

24. Reversed position or direction
inverse
Being divided by a power of 10
mixed fractions
(Last - First + 1)

25. 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
composite number
congruent
fraction or broken number
When to use the Heavy Division Shortcut - and how to do it

26. A ratio that shows the cost per unit of measure
unit ratio
( (Last - First) / Increment ) + 1
Composite number
Aliquot and Aliquant Parts

27. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Even
Even - Odd or Non-Int
Long Division
Non-Int

28. Any value divided by one
Percent Decrease Formula
equivalent
Is equal to the original value
mean

29. The difference between the least and greatest values in a set of numbers.
farther to the left on the number line
Magnitude
range
How the Last Digit Shortcut works

30. Any number with an exponent of 0
equal to 1
Equality
axiom
parallel lines

31. Always perform combinations of multiplication and division before
Odd
mean
combination of addition and subtraction
sample

32. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
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.
Original + Change = New Change/Original = Percent Change
Decreases
When numbers do not divide evenly

33. Always perform the operations
from left to right
median
sum
complementary angles

34. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
cubed
Greater
When the addends have opposite signs one is + and the other is -

35. The ratio of integers that results in a terminating decimal
Even
integer or whole number
pyramid
Some integer/Some Power of 10

36. Species and Number may be
Equal
Homogenous or Heterogenous
Zero multiplied by any value
divisor

37. An eight-sided polygon
octagon
mixed number
improper fraction
vertex (vertices - plural)

38. Quantities which are both equal to one and the same third are equal to one another.
Axiom III.
Odd
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
proportion

39. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
Axiom VI.
diameter
reciprocal
always clear the innermost groups first

40. Profit = ?
Revenue ($) - Cost ($)
square unit
expression
complementary angles

41. The two kinds of Magnitude are
isosceles triangle
Magnitude at Rest and Magnitude in Motion
Parts
Sale Price - Unit Cost

42. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
order of operations
The Decimal Numbering System
octagon
median

43. 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.
hexagon
order of operations
integer values
When numbers do not divide evenly

44. What's the reciprocal of v6 - and why?
Being divided by a power of 10
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
mixed number
Decimals/Percents

45. Indicates the number to be multiplied
Odd
base
Even
Even

46. A triangle with sides of different lengths and no two angles are the same
Subtracting Signed Integers
base
scalene triangle
Inequality

47. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
higher terms
right triangle
To square an equation to solve it
To add integers that have the same sign (both positive or both negative):

48. The result of multiplying two or more numbers.
acute angle
higher terms
product
expression

49. No integer (except 1) that divides evenly into both the numerator and denominator.
Both
reduced fraction
supplementary angles
The concept of trading decimal places and how it works

50. 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.
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?
rhombus
When to use fractions
To convert any fraction to higher terms

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CLEP General Mathematics: Arithmetic Basics

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