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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 value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
trapezoid
straight angle
roots of numbers

2. The action of the mind whereby a quantity is measured by Unity or a Unit.
Unity - or a Unit
Computation
Odd
Even div. by 4

3. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
acute angle
base
perimeter
How the Last Digit Shortcut works

4. A triangle that has three equal sides and three equal angles
inverse operations
Step 1 of Converting mixed numbers to improper fractions
like fractions
equilateral triangle

5. What are the 3 main formulaic properties of evenly-spaced sets?
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
Zero (0)
theorem
Same units

6. Always perform combinations of multiplication and division before
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Known quantities
( (Last - First) / Increment ) + 1
combination of addition and subtraction

7. What is the formula forCounting consecutive multiples?
Axiom X.
reduced fraction
Change / Original Formula?
( (Last - First) / Increment ) + 1

8. What is the perimeter of a Polygon?
circumference
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
multiplier
quotient

9. Original x (1 - x/100) = New
ratio
numerator
Odd
Percent Decrease Formula

10. What's the reciprocal of v6 - and why?
A sum of 2 primes is Odd
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
Even div. by 4
Reducing: The Brute-Force Method

11. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Axiom III.
dividing the numerator and denominator by the same number
factors of the multiplication operation

12. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
Some integer/Some Power of 10
base
Inequality

13. Change / Original Formula
Change + - Original = New
median
A sum of 2 primes is Odd
simplify

14. Whole is equal in Multitude to a Part of the other.
diameter
Whole
Equal
hexagon

15. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
prime factors
Magnitude
'five squared'

16. What are the 2 'percent change' equations?
Original + Change = New Change/Original = Percent Change
Whole Numbers
To find out - easily - if one fraction is bigger than another
improper fraction

17. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
right angle
Is equal to the original value
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
Unknown quantities

18. Two angles whose sum is 180 degrees
supplementary angles
Odd
UnitPrice ($/unit) x Qty.Purchas'd (units)
higher terms

19. Quantities which are both equal to one and the same third are equal to one another.
Multitudes and Magnitudes
supplementary angles
Axiom III.
Always completed first

20. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
Even
farther to the left on the number line
Unity - or a Unit

21. Always try to Factor a quadratic equation
from left to right
before solving
x = (+-) a
cross product

22. Rules that tell which steps to follow when solving an expression
Odd
order of operations
Axiom VII.
A minus sign ( - ) is used for two entirely different purposes:

23. The denominator of the fraction part of the mixed number is
probability
x/100
angle
the denominator of the original improper fraction

24. 1 to any power is equal to
octagon
The sum of all the integers from 20 to 100 - inclusive
rate
1

25. Surface space that is measured in square units.
before solving
The rule for adding negative integers is the same as the rule for adding positive integers:
common denominator
area

26. What are the only prime factors that a fraction resulting in a terminating decimals have?
Same units
2 and/or 5 only
squared
scale drawing

27. Where do fractions occur on a number line?
from left to right
(Last - First + 1)
ordered pair
Fractions allow you to plot values between whole numbers and integers.

28. Expresses fractional parts that are greater than 1.
isosceles triangle
To add integers that have the same sign both positive or both negative:
mixed number
quadrilateral

29. A whole number can be expressed as an improper fraction by
62.5%
probability
putting that number over 1
To convert any fraction to higher terms

30. Is the disagreement of things in Quantity.
enclosing the numbers in a pair of vertical lines | |
2
Inequality
Magnitude at Rest and Magnitude in Motion

31. The process of breaking a number down into its factors is called
Revenue ($) - Cost ($)
factoring
Inserting a zero at the right end of a whole number
numerator

32. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
quadrilateral
divisor
The height of a triangle
To add integers that have opposite signs:

33. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
A plus sign (+) is used for two entirely different purposes:
Positive-value integers
Axiom VI.
the same point on the number line

34. To indicate the subtraction operation - to indicate a negative integer value
hexagon
A minus sign ( - ) is used for two entirely different purposes:
When to use the Heavy Division Shortcut - and how to do it
Inserting a zero at the left end of a whole number

35. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
one is positive and the other is negative
Aliquot Part
Power notation
A minus sign ( - ) is used for two entirely different purposes:

36. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
Shift DP 2 places left
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
higher terms

37. A mirror image of a figure shown over a line of reflection
reflection
denominator
Always completed first
Step 1 of Converting Improper Fractions to Mixed Numbers

38. Factors may be multiplied in any order.
commutative law of multiplication
A minus sign ( - ) is used for two entirely different purposes:
exponent
before solving

39. The distance around a circle (the perimeter of a circle).
exponent
A = (D1 x D2) / 2
Reducing by the Largest Common Factor (LCF)
circumference

40. Lines in the same plane that do not intersect. The symbol //
hexagon
Mathematics
parallel lines
Fractions allow you to plot values between whole numbers and integers.

41. Rules that tell which steps to follow when solving an expression.
To add integers that have the same sign (both positive or both negative):
order of operations
congruent
Equal

42. The numerator is smaller than the denominator
proper fraction
expression
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
How the Last Digit Shortcut works

43. A line segment that passes through the center of a circle and has its endpoints on the circle
When the addends have opposite signs one is + and the other is -
There are two parts in the procedure for subtracting signed integers:
diameter
Number Systems

44. ' x percent' = ?
Reducing: The Brute-Force Method
A = (Diagonal1 x Diagonal2) / 2
The rule for adding negative integers is the same as the rule for adding positive integers:
x/100

45. The Only possible factors for a prime number are
1 and itself
Arithmetic - Music - Geometry and Astronomy
obtuse angle
1

46. 0 to any power is equal to
1
0
hexagon
Sum of Interior Angles of a Polygon: (n - 2) x 180

47. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
The sum of all the integers from 20 to 100 - inclusive
rhombus
scale drawing
reciprocal

48. Things are Equal in Multitude when they are
To convert any fraction to higher terms
referred to Unity in the same way
cubed
whether the addends have the same sign or opposite signs

49. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Step 1 of Converting Improper Fractions to Mixed Numbers
Reducing: The Brute-Force Method
when there are explicit or implicit equations in the problem:
commutative law of multiplication

50. Two or more fractions that have the same denominator
One... the number 2
Some integer/Some Power of 10
Multitude
like fractions