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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's the reciprocal of v6 - and why?
Aliquot Part
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
product
62.5%

2. An equation stating that two ratios are equal
proportion
Equality
integer values
Unit Cost + Markup

3. Always perform the operations
from left to right
hexagon
squared
exponent

4. 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 Decimal Numbering System
The concept of trading decimal places and how it works
Multitudes and Magnitudes
Even div. by 4

5. What are the properties of the diagonals of a Rhombus?
scale drawing
A sum of 2 primes is Odd
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
1 - (y/100)

6. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
Reducing by the Largest Common Factor (LCF)
composite number
Whole Numbers
Magnitude

7. Part of the population that is studied to find the characteristics of the whole population.
sample
Shift DP 2 places left
rhombus
simplify

8. A number that tells how many times the base is multiplied by itself
exponent
Axiom IX.
product
Original + Change = New Change/Original = Percent Change

9. The ratio of a number to 100 (per one hundred); the symbol %
percent
absolute value
Axiom I.
0

10. The result of the division called the
quadrilateral
denominator
Alternative to the algebraic manipulation method to solving a VIC
quotient

11. All the positive whole numbers
integer values
scale drawing
Mathematics
vertex (vertices - plural)

12. Surface space that is measured in square units.
1
Quantity
area
To add integers that have opposite signs:

13. 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.
y-axis
the Complement of that part to the whole
Revenue ($) - Cost ($)
probability

14. What are the only prime factors that a fraction resulting in a terminating decimals have?
congruent
Axiom VIII.
Inserting a zero at the left end of a whole number
2 and/or 5 only

15. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
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
(Last - First + 1)
simplify
Axiom IX.

16. Always perform combinations of multiplication and division before
UnitPrice ($/unit) x Qty.Purchas'd (units)
combination of addition and subtraction
Evaluating Powers With Negative Exponents
Axiom VII.

17. Percent Decrease Formula ?
Proof
Whole Numbers
Original x (1 - x/100) = New
The bottom side of the triangle

18. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
enclosing the numbers in a pair of vertical lines | |
inverse
isosceles triangle

19. Two angles whose sum is 180 degrees
supplementary angles
scalene triangle
Power notation
Axiom III.

20. 1 to any power is equal to
Terminating decimal
1
straight angle
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

21. The Sum of n consecutive integers is Not divisible by n if n is
numerator
Even
one is positive and the other is negative
product

22. Is equal to the original value. a x 1 = 1
Any value multiplied by one
The concept of trading decimal places and how it works
divisor
Carry the 10's digit of the product to the top of the 10's column of factors.

23. A ratio that shows the cost per unit of measure
To add integers that have opposite signs:
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
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
unit ratio

24. Reversed position or direction
the same point on the number line
inverse
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Unit Price x Qty. Sold

25. The terms Species and Number
Being divided by a power of 10
Unit Price x Qty. Sold
equal to 1 divided by that number with a positive exponent
Quantity is expressed

26. To indicate the addition operation- to indicate a positive integer value
from left to right
A plus sign (+) is used for two entirely different purposes:
quotient
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

27. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
To add integers that have the same sign (both positive or both negative):
Parts
polygon
higher terms

28. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Step 2 of Converting mixed numbers to improper fractions
mixed number
pi
absolute value

29. 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
obtuse angle
putting that number over 1
composite number
Negative-value integers

30. The Only possible factors for a prime number are
Aliquant Part
Even
1 and itself
whether the addends have the same sign or opposite signs

31. One of those primes must be the number __ ?
A sum of 2 primes is Odd
Step 1 of Converting Improper Fractions to Mixed Numbers
Sale Price - Unit Cost
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ

32. The result of the multiplication is called the
Axiom VII.
parallel lines
When to use the Heavy Division Shortcut - and how to do it
product

33. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
prime number
Wage Rate ($ per hr) x Hrs worked
Step 1 of Converting Improper Fractions to Mixed Numbers
numerator

34. What is the formula forCounting consecutive multiples?
When to use the Heavy Division Shortcut - and how to do it
( (Last - First) / Increment ) + 1
y-axis
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

35. A whole number can be expressed as an improper fraction by
Terminating decimal
putting that number over 1
equal to itself.
referred to Unity in the same way

36. In a group of values - the value that occurs most often.
mode
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
octagon
Odd

37. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
equal to 1
Non-Int
lowercase letters
Odd

38. Profit = ?
Revenue ($) - Cost ($)
complementary angle
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.
proper fraction

39. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
proper fraction
exactly the same portion
perimeter
supplementary angles

40. 1/2 - 1/3 - 2/3 - -5/8
2
ratio
Aliquot Part
proper fractions

41. 'y percent less than' = ?
When to use fractions
1 - (y/100)
Sale Price - Unit Cost
octagon

42. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
Known quantities
proportion
congruent

43. Anything that may be increased or diminished
2
x-coordinate
improper fraction
Quantity

44. A statement that needs to be demonstrated and is called in Latin demonstrandum.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
theorem
Axiom VIII.
always clear the innermost groups first

45. A parallelogram with four right angles
Change / Original Formula?
combination of addition and subtraction
common denominator
rectangle

46. Area of a Rhombus is?
circumference
When you are absolutely sure the variable or expression <> 0
difference
A = (D1 x D2) / 2

47. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
farther to the right on the number line.
product
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

48. The action of the mind whereby a quantity is measured by Unity or a Unit.
Shift DP 2 places right
Unknown quantities
Computation
acute angle

49. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
mixed number
median
dividend
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

50. The horizontal number line of a coordinate graph
Greater
x-axis
sum
mean