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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. A polygon with five sides
One... the number 2
The Decimal Numbering System
pentagon
Alternative to the algebraic manipulation method to solving a VIC

2. A triangle with two equal sides and two equal angles
y-axis
isosceles triangle
product
Revenue ($) - Cost ($)

3. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Converting mixed numbers to improper fractions.
Evaluating Powers With Negative Exponents
equation
Known (Given) and Unknown (Sought)

4. An angle measuing more than 0 degrees and less than 90 degrees
the denominator of the original improper fraction
Odd
acute angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

5. A number that when multiplied by itself results in the original number
square root
Equal
fraction or broken number
Odd

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.
Being divided by a power of 10
Aliquant Part
Any value multiplied by one
median

7. To make a fraction easier to work with by taking out common factors
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
simplify
multiplicand
congruent

8. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Proof
To add integers that have opposite signs:
y-coordinate
percent

9. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Odd
hexagon
Species
The concept of trading decimal places and how it works

10. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
hexagon
Sale Price - Unit Cost
ordered pair

11. The number being multiplied is called the
before solving
circumference
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
multiplicand

12. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
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
rhombus
referred to the same Unit
Odd or Non-Int

13. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
'six cubed'
Odd
The Ratio of Any two of the following: Original - Change and New
1

14. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Whole Numbers
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
simplify
multiplier

15. A triangle with sides of different lengths and no two angles are the same
Zero (0)
cross product
prime factors
scalene triangle

16. A number with an exponent of 3 is often said to be
Long Division
lowercase letters
cubed
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

17. Change + - Original = New
inverse operations
area
right triangle
Change / Original Formula?

18. The method for indicating the power of a number
lowercase letters
Power notation
one is positive and the other is negative
Step 2 of Converting mixed numbers to improper fractions

19. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
y-coordinate
Sum of Interior Angles of a Polygon: (n - 2) x 180
1
Positive-value integers

20. Any number with an exponent of 0
Always completed first
equal to 1
Change + - Original = New
y-coordinate

21. Every number is contained in itself once.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Axiom VII.
2^3 = 8
1

22. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
octagon
Even and Odd
Whole Numbers
Aliquot Part

23. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
they have the same absolute value
One... the number 2
cylinder
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

24. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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25. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
similar figures
complementary angles
square unit
Even

26. 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').
Number Systems
fraction or broken number
multiplicand
Whole Numbers

27. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
common factor
proper fraction
Inequality

28. One of those primes must be the number __ ?
fraction or broken number
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
A sum of 2 primes is Odd
improper fractions

29. The figure formed when two rays meet at a common endpoint called a vertex.
Axiom IX.
angle
obtuse angle
A = (D1 x D2) / 2

30. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
Axiom IV.
supplementary angles
Percent Change

31. Always try to Factor a quadratic equation
Evaluating Powers With Negative Exponents
before solving
Both
improper fraction

32. 1 to any power is equal to
1
Number
percent
Unit Price x Qty. Sold

33. The denominator of the fraction part of the mixed number is
the denominator of the original improper fraction
product
Equality
Magnitude at Rest and Magnitude in Motion

34. What is the formula forCounting consecutive multiples?
perimeter
octagon
( (Last - First) / Increment ) + 1
the denominator of the original improper fraction

35. Can have many different combinations of factors
simplify
Composite number
When you are absolutely sure the variable or expression <> 0
Change / Original Formula?

36. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
Axiom X.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
When numbers do not divide evenly

37. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
base
Axiom II.
factor
supplementary angles

38. The number doing the dividing is called the
mode
acute angle
divisor
right triangle

39. The four Mathematical arts are:
angle
Increases the value.
Arithmetic - Music - Geometry and Astronomy
numerator

40. Change / Original Formula
order of operations
Change + - Original = New
mixed fraction
divisor

41. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom II.
Axiom VI.
Even - Odd or Non-Int
When to use the Heavy Division Shortcut - and how to do it

42. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
0
Even
Wage Rate ($ per hr) x Hrs worked
Converting mixed numbers to improper fractions.

43. An evenly-spaced set is fully-defined if what is known...?
complementary angles
Odd
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Original x (1 - x/100) = New

44. An eight-sided polygon
factors of the multiplication operation
Unity - or a Unit
octagon
inverse operations

45. The Sum of n consecutive integers is divisible by n if n is
Odd
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
Converting Improper Fractions to Mixed Numbers
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

46. Odd / Even = ? e.g. 9/6 = 1.5
area
The Decimal Numbering System
x-axis
Non-Int

47. An angle that measures 180 degrees
straight angle
( (Last - First) / Increment ) + 1
divisor
Every integer between 1 and X - inclusive - must be a factor of X

48. Always perform the operations
Odd
When the addends have the same sign both + or both -
from left to right
range

49. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
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
Subtracting Signed Integers
Inserting a zero at the right end of a whole number
x-coordinate

50. Expresses fractional parts that are greater than 1.
Reducing: The Brute-Force Method
mixed number
product
Even