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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. The sum of a group of numbers divided by the number of numbers; also known as the average
Even or Non-Int
integers
mean
divisor

2. A quadrilateral with two pairs of congruent - parallel sides
Unit Price x Qty. Sold
Inserting a zero at the right end of a whole number
isosceles triangle
parallelogram

3. The exact procedure for adding signed integers depends upon
trapezoid
the same point on the number line
whether the addends have the same sign or opposite signs
area

4. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Sale Price - Unit Cost
right triangle
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
obtuse angle

5. Any number with an exponent of 1
Terminating decimal
equal to itself.
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
higher terms

6. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
2
scalene triangle
putting that number over 1

7. The largest single factor for two or more numbers.
difference
parallel lines
scale drawing
greatest common factor (GCF)

8. One number is said to be greater than (>) another when it is
Power notation
farther to the right on the number line.
mixed number
62.5%

9. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Even
exponent
y-coordinate
y-axis

10. In a division problem - it's the number being divided
To convert any fraction to higher terms
dividend
One... the number 2
mixed number

11. 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
Negative-value integers
straight angle
Even
vertex (vertices - plural)

12. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
least common multiple (LCM)
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
More

13. The result of the division called the
Same units
Reducing fractions
(Last - First + 1)
quotient

14. 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
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
Shift DP 2 places right
When to use the Heavy Division Shortcut - and how to do it
Axiom I.

15. One of the four regions formed by the intersection of the axes of a coordinate graph
1
quadrant
Multitude
1

16. An angle measuring more than zero degrees and less than 90 degrees
(Last - First + 1)
scalene triangle
vertex (vertices - plural)
acute angle

17. Whole is equal in Multitude to a Part of the other.
Unity - or a Unit
Equal
rate
product

18. The distance around a figure.
perimeter
Magnitude
isosceles triangle
Axiom III.

19. What is the formula for: The Area of a Triangle ?
ratio
A = (Base x Height) / 2 - A = (BH)/2
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
Original + Change = New Change/Original = Percent Change

20. A ratio that shows the cost per unit of measure
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
the same point on the number line
difference
unit ratio

21. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
combination of addition and subtraction
numerator
To make sure to solve for Both cases.
exactly the same portion

22. The horizontal number line of a coordinate graph
x-axis
hexagon
Odd
Odd

23. TotalCost($) = ?

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24. Profit = ?
Revenue ($) - Cost ($)
prime factors
dividend
prism

25. A parallelogram with four right angles
Unit Price x Qty. Sold
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
rectangle
ratio

26. A number that is not a prime number is called a
supplementary angles
axiom
Equality
composite number

27. Quantities which are both equal to one and the same third are equal to one another.
Axiom III.
reflection
mean
A = (Diagonal1 x Diagonal2) / 2

28. The four Mathematical arts are:
Arithmetic - Music - Geometry and Astronomy
always clear the innermost groups first
Odd or Non-Int
diameter

29. A polygon that has four sides.
To find out - easily - if one fraction is bigger than another
Odd
Being divided by a power of 10
quadrilateral

30. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
The height of a triangle
Computation
y-coordinate

31. When the product in the 1's column is greater than 9

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32. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Axiom X.
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.
fraction or broken number
Subtracting Signed Integers

33. Unit Profit = ?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Sale Price - Unit Cost
Reducing: The Brute-Force Method
mode

34. ' x percent' = ?
0.625
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
congruent
x/100

35. Adding integers that have the same sign means
both integers are positive or both are negative
scalene triangle
y-axis
Unit Cost + Markup

36. 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 intege
There are two parts in the procedure for subtracting signed integers:
0
When the addends have the same sign both + or both -
Quantity

37. A ratio that shows the cost per unit of measure
product
congruent
unit ratio
Axiom VIII.

38. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
octagon
dividing the numerator and denominator by the same number
when there are explicit or implicit equations in the problem:

39. Species are distinguished into
Different Units
Known (Given) and Unknown (Sought)
acute angle
like fractions

40. The smallest multiple that two or more numbers have in common
pi
( (Last - First) / Increment ) + 1
Odd or Non-Int
least common multiple (LCM)

41. Includes an integer as well as a fractional part
1
proportion
mixed fraction
The height of a triangle

42. Any whole number can be expressed in terms of the
product
(Last - First + 1)
factors of the multiplication operation
contains only a single number

43. Any number with a negative exponent
composite number
Fractions allow you to plot values between whole numbers and integers.
equal to 1 divided by that number with a positive exponent
x-coordinate

44. 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.
Power notation
prime number
The concept of trading decimal places and how it works
ratio

45. Having the same value
equivalent
Aliquant Part
Mathematics
Axiom V.

46. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
The Ratio of Any two of the following: Original - Change and New
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
reflection
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.

47. The vertical number line of a coordinate graph
Zero (0)
When to use the Heavy Division Shortcut - and how to do it
before solving
y-axis

48. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
Long Division
supplementary angles
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
2

49. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
axiom
Even
simplify

50. An evenly-spaced set is fully-defined if what is known...?
The sum of all the integers from 20 to 100 - inclusive
cross product
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
To add integers that have the same sign both positive or both negative: