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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. 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 concept of trading decimal places and how it works
62.5%
farther to the left on the number line
inverse

2. The numerator of the fraction part of the mixed number is the remainder from the
Even
quotient
When the addends have the same sign both + or both -
To make sure to solve for Both cases.

3. A self-evident statement - that is - one that does not need to be demonstrated.
Unity - or a Unit
62.5%
scale drawing
axiom

4. The number being divided is called the
dividend
Axiom VII.
base
lowercase Variables

5. All whole numbers (both positive and negative) and zero.
integers
range
improper fraction
order of operations

6. An angle that measures 180 degrees
straight angle
Positive-value integers
Relative multitude
integer or whole number

7. The two kinds of Quantity are
Axiom VI.
diameter
Multitudes and Magnitudes
percent

8. For there to be X unique factors of X - what must be true?
inverse operations
dividing the numerator and denominator by the same number
Every integer between 1 and X - inclusive - must be a factor of X
prism

9. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
range
reduced fraction
roots of numbers

10. A sign of grouping can be omitted when it
contains only a single number
polygon
pi
Wage Rate ($ per hr) x Hrs worked

11. 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.
higher terms
Converting mixed numbers to improper fractions.
Wage Rate ($ per hr) x Hrs worked
one is positive and the other is negative

12. Any number with an exponent of 1
equal to itself.
Homogenous or Heterogenous
improper fraction
Known (Given) and Unknown (Sought)

13. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
proportion
Even and Odd
Magnitude at Rest and Magnitude in Motion
percent

14. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
product
right angle
Even or Non-Int
fraction or broken number

15. A triangle with sides of different lengths and no two angles are the same
scalene triangle
x = (+-) a
y-axis
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

16. Two angles whose sum equals 90 degrees
unit ratio
complementary angle
y-axis
x = (+-) a

17. By the last letters (u - x - y - etc.)
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
A = (Diagonal1 x Diagonal2) / 2
Non-Int
Known quantities

18. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
Zero (0)
isosceles triangle
theorem

19. When will a decimal Not terminate and why?
square root
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
A = (Base x Height) / 2 - A = (BH)/2
Wage Rate ($ per hr) x Hrs worked

20. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
prime number
When to use fractions
Odd
Known (Given) and Unknown (Sought)

21. 0.625 --> Fraction ?
5/8
like fractions
y-coordinate
vertex (vertices - plural)

22. 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.
When to use the Heavy Division Shortcut - and how to do it
composite number
Evaluating Powers With Negative Exponents
exponent

23. What are the properties of the diagonals of a Rhombus?
To find out - easily - if one fraction is bigger than another
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
the same point on the number line
There are two parts in the procedure for subtracting signed integers:

24. Always perform combinations of multiplication and division before
theorem
y-coordinate
There are two parts in the procedure for subtracting signed integers:
combination of addition and subtraction

25. The study of quantity
rate
Mathematics
when there are explicit or implicit equations in the problem:
radius

26. Total Sales or Revenue = ?
scalene triangle
A sum of 2 primes is Odd
Axiom IX.
Unit Price x Qty. Sold

27. The number doing the dividing is called the
divisor
enclosing the numbers in a pair of vertical lines | |
proportion
Inequality

28. A known quantity we refer to as One.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Unity - or a Unit
referred to the same Unit
The sum of all the integers from 20 to 100 - inclusive

29. 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.
Inserting a zero at the right end of a whole number
lowest terms
Unit Price x Qty. Sold
Long Division

30. A triangle that has three equal sides and three equal angles
x/100
the same point on the number line
improper fractions
equilateral triangle

31. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
theorem
Odd
inverse
Decreases

32. Profit = ?
proper fraction
Relative multitude
Magnitude
Revenue ($) - Cost ($)

33. Includes an integer as well as a fractional part
When to use the Heavy Division Shortcut - and how to do it
mixed number
one is positive and the other is negative
reduced fraction

34. What is the only Even prime number?
order of operations
Reducing by the Largest Common Factor (LCF)
Axiom VI.
2

35. Change / Original Formula
Change + - Original = New
ordered pair
integer values
Known quantities

36. Signs of grouping may be nested
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.
parallel lines
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
reduced fraction

37. The Sum of n consecutive integers is divisible by n if n is
composite number
Odd
diameter
Relative multitude

38. TotalCost($) = ?

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39. The number being multiplied is called the
multiplicand
Number
Known quantities
perimeter

40. 3/2 - 8/3 - -16/5 - 7/7
quadrant
improper fractions
62.5%
Aliquant Part

41. No integer (except 1) that divides evenly into both the numerator and denominator.
fraction or broken number
reduced fraction
'five squared'
Inserting a zero at the left end of a whole number

42. Indicates the number of times the base is to be multiplied
Line Segments
reciprocal
To add integers that have the same sign (both positive or both negative):
exponent

43. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
right triangle
Decimals/Percents
1 - (y/100)
referred to the same Unit

44. What is the formula forCounting consecutive integers?
Axiom I.
Axiom VI.
(Last - First + 1)
product

45. Includes an integer as well as a fractional part
x-axis
integers
proper fraction
mixed fraction

46. The result of dividing one number by another; the solution to a division problem
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Different Units
Percent Decrease Formula
quotient

47. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
Is equal to the original value
Even
When to use the Heavy Division Shortcut - and how to do it

48. One number is said to be less than (<) another when it is
farther to the left on the number line
Even
A = (Diagonal1 x Diagonal2) / 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

49. The ratio of a number to 100 (per one hundred). The symbol %
A sum of 2 primes is Odd
percent
numerator
2

50. A ratio that compares two different types of quantities
Even - Odd or Non-Int
rate
proper fraction
right triangle