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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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. What is the perimeter of a Polygon?
x = (+-) a
referred to Unity in the same way
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
inverse
2. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
( (Last - First) / Increment ) + 1
When the addends have opposite signs one is + and the other is -
area
3. Having the same value
equivalent
Non-Int
denominator
roots of numbers
4. 0.625 --> Fraction ?
5/8
Original x (1 - x/100) = New
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Inserting a zero at the right end of a whole number
5. The whole is more or greater than its part.
Axiom IV.
from left to right
When the addends have opposite signs one is + and the other is -
Even - Odd or Non-Int
6. 3/2 - 8/3 - -16/5 - 7/7
cubed
improper fractions
theorem
Carry the 10's digit of the product to the top of the 10's column of factors.
7. 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.
Change / Original Formula?
Different Units
Odd
Change + - Original = New
8. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
1
Adding negative integers will always produce a negative sum
Inserting a zero at the right end of a whole number
numerator
9. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
Axiom VII.
Magnitude at Rest and Magnitude in Motion
exactly the same portion
10. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Evaluating Powers With Negative Exponents
Converting Improper Fractions to Mixed Numbers
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
A = (D1 x D2) / 2
11. Is equal to the original value. a x 1 = 1
Unit Price x Qty. Sold
Any value multiplied by one
Being divided by a power of 10
2
12. Surface space that is measured in square units
quadrant
area
Aliquot and Aliquant Parts
The sum of all the integers from 20 to 100 - inclusive
13. A solid figure with two congruent and parallel circular bases
integer values
To make sure to solve for Both cases.
cylinder
hexagon
14. Profit = ?
Odd
inverse
Revenue ($) - Cost ($)
A plus sign (+) is used for two entirely different purposes:
15. The numerator of the fraction part of the mixed number is the remainder from the
cylinder
prime factorization
quotient
2^3 = 8
16. Total Sales or Revenue = ?
Unit Price x Qty. Sold
equal to 1 divided by that number with a positive exponent
y-coordinate
equivalent
17. All whole numbers (both positive and negative) and zero.
circumference
integers
Even
Odd
18. 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.
Equality
The concept of trading decimal places and how it works
To square an equation to solve it
Relative multitude
19. 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.
quadrilateral
x-axis
Long Division
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
20. When the product in the 1's column is greater than 9
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21. The absolute value of the numerator is smaller than the absolute value of the denominator.
commutative law of multiplication
prism
proper fraction
Is equal to the original value
22. Indicates the number to be multiplied
enclosing the numbers in a pair of vertical lines | |
To add integers that have the same sign both positive or both negative:
Step 1 of Converting Improper Fractions to Mixed Numbers
base
23. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Axiom I.
mixed number
Computation
Being divided by a power of 10
24. An equation stating that two ratios are equal
Zero multiplied by any value
proportion
reflection
Axiom VI.
25. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
factoring
Even
1
Relative multitude
26. Taken together - the multiplicand and multiplier are known as
Multitudes and Magnitudes
The Ratio of Any two of the following: Original - Change and New
factors of the multiplication operation
reduced fraction
27. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
Multitude
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
0
vertex (vertices - plural)
28. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
improper fraction
rate
prism
rhombus
29. 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.
hexagon
pentagon
Reducing: The Brute-Force Method
Aliquot Part
30. What are the 2 'percent change' equations?
Even
Original + Change = New Change/Original = Percent Change
UnitPrice ($/unit) x Qty.Purchas'd (units)
like fractions
31. A value such as 6^3 can described as
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32. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Odd
1
To make sure to solve for Both cases.
greatest common factor (GCF)
33. Has no sign value
Shift DP 2 places left
product
combination of addition and subtraction
Zero (0)
34. Part of the population that is studied to find the characteristics of the whole population.
higher terms
equivalent
sample
mixed number
35. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
supplementary angles
Percent Decrease Formula
sum
When the addends have opposite signs one is + and the other is -
36. A whole number can be expressed as an improper fraction by
putting that number over 1
2
absolute value
To convert any fraction to higher terms
37. Operations enclosed in a sign of grouping
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
vertex (vertices - plural)
Always completed first
factor
38. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
2^3 = 8
denominator
To add integers that have the same sign both positive or both negative:
Odd
39. 'y percent less than' = ?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
1 - (y/100)
fraction or broken number
Decimals/Percents
40. The distance around a circle (the perimeter of a circle).
Aliquot Part
Percent Change
circumference
rate
41. The result of the multiplication is called the
To add integers that have opposite signs:
Every integer between 1 and X - inclusive - must be a factor of X
square unit
product
42. The formula for the Area of a Rhombus is?
always clear the innermost groups first
Zero (0)
A = (Diagonal1 x Diagonal2) / 2
improper fraction
43. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
the Complement of that part to the whole
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Axiom II.
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
44. 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.
higher terms
circumference
composite number
45. By the last letters (u - x - y - etc.)
Known quantities
multiplicand
Axiom X.
Aliquant Part
46. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
squared
1
difference
Even
47. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
right triangle
probability
percent
Non-Int
48. In a group of values - the value that occurs most often.
x-coordinate
mode
Change / Original Formula?
(Last - First + 1)
49. The two kinds of Quantity are
Reducing: The Brute-Force Method
quadrant
Multitudes and Magnitudes
mean
50. Expresses fractional parts that are greater than 1.
Zero (0)
farther to the right on the number line.
Computation
mixed number