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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 absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
Decreases
x-axis
Even
improper fraction

2. An angle that measures 180 degrees
mean
mean
straight angle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

3. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When the addends have opposite signs one is + and the other is -
0
To find out - easily - if one fraction is bigger than another
UnitPrice ($/unit) x Qty.Purchas'd (units)

4. An eight-sided polygon
octagon
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Whole Numbers
Magnitude

5. The terms Species and Number
composite number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
product
Quantity is expressed

6. The difference between the least and greatest values in a set of numbers
pi
range
Aliquot and Aliquant Parts
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

7. Rules that tell which steps to follow when solving an expression.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Subtracting Signed Integers
order of operations
Proof

8. The absolute value of the numerator is smaller than the absolute value of the denominator.
lowercase Variables
How the Last Digit Shortcut works
proper fraction
Even - Odd or Non-Int

9. The sum of a group of numbers divided by the number of numbers. Also known as the average.
percent
prime number
mean
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.

10. The number doing the dividing is called the
inverse
divisor
proper fraction
exponent

11. Includes an integer as well as a fractional part
mixed fraction
Axiom VII.
reciprocal
The rule for adding negative integers is the same as the rule for adding positive integers:

12. Can have many different combinations of factors
(Last - First + 1)
2
Composite number
the denominator of the original improper fraction

13. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
improper fraction
'six cubed'
octagon

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

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15. The ratio of integers that results in a terminating decimal
Inserting a zero at the left end of a whole number
product
Being divided by a power of 10
Some integer/Some Power of 10

16. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
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
The rule for adding negative integers is the same as the rule for adding positive integers:
product

17. Two angles whose sum equals 90 degrees
complementary angle
Axiom X.
2
vertex (vertices - plural)

18. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
angle
Wage Rate ($ per hr) x Hrs worked
When numbers do not divide evenly
the denominator of the original improper fraction

19. 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.
product
straight angle
How the Last Digit Shortcut works
Greater

20. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
Even or Non-Int
mean
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Reducing: The Brute-Force Method

21. A number with an exponent of 3 is often said to be
cubed
When the addends have the same sign both + or both -
axiom
Unit Price x Qty. Sold

22. A number is increased by 25%... what must you reduce the new number by to get the old number again?
perimeter
equal to 1
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
always clear the innermost groups first

23. A ratio that shows the cost per unit of measure
Some integer/Some Power of 10
roots of numbers
similar figures
unit ratio

24. Profit = ?
commutative law of multiplication
Equal
Revenue ($) - Cost ($)
lowest terms

25. A polygon with six sides.
hexagon
Aliquot Part
they have the same absolute value
The concept of trading decimal places and how it works

26. A number with only two factors: the number itself and one.
radius
Unit Price x Qty. Sold
prime number
2

27. A whole number that has only one set of factors - itself and 1.
prime number
quadrilateral
Homogenous or Heterogenous
reciprocal

28. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
A = (D1 x D2) / 2
Axiom X.
integers

29. Has no sign value
Zero (0)
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
diameter
To square an equation to solve it

30. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
common factor
When to use fractions
Revenue ($) - Cost ($)

31. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Known (Given) and Unknown (Sought)
To make sure to solve for Both cases.
Even div. by 4
Different Units

32. The horizontal number line of a coordinate graph
'five squared'
x-axis
ratio
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.

33. Method: convert Decimal to Percent?
Shift DP 2 places right
Even
Shift DP 2 places left
complementary angle

34. The Sum of n consecutive integers is divisible by n if n is
1 and itself
Inequality
multiplier
Odd

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.
prism
equal to itself.
hexagon
Aliquot Part

36. A triangle with sides of different lengths and no two angles are the same
scalene triangle
Unity - or a Unit
factoring
Inequality

37. If 2 numbers are OPPOSITES of each other
Positive-value integers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
they have the same absolute value
Odd

38. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
from left to right
Even or Non-Int
To add integers that have the same sign (both positive or both negative):
Aliquot Part

39. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
the Complement of that part to the whole
Negative-value integers
Subtracting Signed Integers
Inserting a zero at the right end of a whole number

40. 0.625 --> Fraction ?
5/8
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
factoring
Axiom IX.

41. A triangle with two equal sides and two equal angles
isosceles triangle
product
UnitPrice ($/unit) x Qty.Purchas'd (units)
improper fractions

42. The result of muliplying two or more numbers
product
pi
1
y-axis

43. Signs of grouping may be nested
2 and/or 5 only
exactly the same portion
isosceles triangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

44. Having the same value
equivalent
Is equal to the original value
square root
range

45. The whole is equal to all of its parts taken together.
2 and/or 5 only
Axiom V.
2
Known (Given) and Unknown (Sought)

46. The result of the multiplication is called the
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
x-coordinate
product
y-coordinate

47. In a division problem - the number that an amount is divided by
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
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
divisor
To convert any fraction to higher terms

48. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
prime factors
Multitude
Even

49. The Only possible factors for a prime number are
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?
1 and itself
Some integer/Some Power of 10
cylinder

50. Odd / Even = ? e.g. 9/6 = 1.5
Axiom VII.
Non-Int
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.
factor