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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. .625 --> Percent?
62.5%
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
circumference
area

2. Part of the population that is studied to find the characteristics of the whole population.
sample
mean
product
product

3. A sign of grouping can be omitted when it
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
contains only a single number
Even
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

4. Always try to Factor a quadratic equation
before solving
the same point on the number line
divisor
mixed number

5. One of the four regions formed by the intersection of the axes of a coordinate graph
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
quadrant
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
Axiom VIII.

6. A number is increased by 25%... what must you reduce the new number by to get the old number again?
congruent
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
Odd
Is equal to the original value

7. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Computation
Both
1

8. Profit = ?
right triangle
Revenue ($) - Cost ($)
Step 2 of Converting mixed numbers to improper fractions
mode

9. Expresses fractional parts that are greater than 1.
equal to itself.
change the operation from subtraction to addition
order of operations
mixed number

10. The whole-number part of the mixed number is the whole-number part of the
Odd
quotient
Is equal to the original value
inverse operations

11. Any whole number can be expressed in terms of the
Proof
product
Inserting a zero at the left end of a whole number
Decreases

12. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
supplementary angles
prism
dividing the numerator and denominator by the same number
( (Last - First) / Increment ) + 1

13. A number that tells how many times the base is multiplied by itself
Change / Original Formula?
inverse operations
exponent
median

14. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
prime number
Is equal to the original value
referred to Unity in the same way

15. 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
theorem
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Odd
Proof

16. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Same units
To convert any fraction to higher terms
equal to itself.
median

17. The whole is more or greater than its part.
circumference
one is positive and the other is negative
Odd
Axiom IV.

18. The method for indicating the power of a number
x = (+-) a
Power notation
dividend
Percent Decrease Formula

19. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Equality
Multitudes and Magnitudes
diameter
lowest terms

20. A triangle with sides of different lengths and no two angles are the same
scalene triangle
numerator
How the Last Digit Shortcut works
( (Last - First) / Increment ) + 1

21. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
octagon
when there are explicit or implicit equations in the problem:
radius

22. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
lowest terms
right angle
To convert any fraction to higher terms
Odd

23. Reducing fractions is
y-coordinate
dividing the numerator and denominator by the same number
Revenue ($) - Cost ($)
exponent

24. Method: convert Percent to Decimal?
square unit
Shift DP 2 places left
Step 2 of Converting mixed numbers to improper fractions
'five squared'

25. A polygon with six sides.
rectangle
exponent
hexagon
rhombus

26. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
mixed number
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
multiplier
When the addends have the same sign both + or both -

27. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
proper fraction
Always completed first
exactly the same portion
A = (D1 x D2) / 2

28. Change + - Original = New
Change + - Original = New
Change / Original Formula?
Quantity is expressed
One... the number 2

29. 3 ways to solve an absolute value inequality
range
change the operation from subtraction to addition
1
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

30. What is the perimeter of a Polygon?
Even or Non-Int
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.
Reducing by the Largest Common Factor (LCF)

31. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
divisor
they have the same absolute value
cylinder

32. A statement that needs to be demonstrated and is called in Latin demonstrandum.
Whole Numbers
Is equal to the original value
theorem
farther to the left on the number line

33. To indicate the subtraction operation - to indicate a negative integer value
prime number
'five squared'
supplementary angles
A minus sign ( - ) is used for two entirely different purposes:

34. 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.
The rule for adding negative integers is the same as the rule for adding positive integers:
proportion
Always completed first
Aliquant Part

35. Is the opposite of raising fractions to higher terms.
farther to the right on the number line.
polygon
Reducing fractions
congruent

36. Is equal to the original value. a x 1 = 1
trapezoid
numerator
Any value multiplied by one
x-coordinate

37. A polygon that has four sides.
Axiom IX.
quadrilateral
cubed
1 and itself

38. 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.
Converting mixed numbers to improper fractions.
The rule for adding negative integers is the same as the rule for adding positive integers:
proper fraction
Axiom V.

39. A mirror image of a figure shown over a line of reflection
percent
When the addends have opposite signs one is + and the other is -
reflection
proper fraction

40. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Converting mixed numbers to improper fractions.
To convert any fraction to higher terms
Whole

41. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
5/8
Aliquant Part
quotient
probability

42. The sum of a group of numbers divided by the number of numbers. Also known as the average.
complementary angle
scalene triangle
Wage Rate ($ per hr) x Hrs worked
mean

43. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
Being divided by a power of 10
reciprocal
mode
area

44. Signs of grouping may be nested
circumference
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Adding negative integers will always produce a negative sum
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

45. 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
lowest terms
Percent Change
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?
When to use the Heavy Division Shortcut - and how to do it

46. Quantities which are both equal to one and the same third are equal to one another.
diameter
(Last - First + 1)
Axiom III.
The Decimal Numbering System

47. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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48. Method: convert Decimal to Percent?
percent
Inserting a zero at the left end of a whole number
complementary angles
Shift DP 2 places right

49. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Decreases
integer or whole number
dividend
1

50. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Equality
mixed fractions
polygon
Odd