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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. A quadrilateral with two pairs of congruent - parallel sides.
Decreases
parallelogram
mode
Inserting a zero at the left end of a whole number
2. A mathematical sentence that uses an equal sign
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.
parallelogram
Number Systems
equation
3. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
Greater
theorem
product
4. The denominator of the fraction part of the mixed number is
UnitPrice ($/unit) x Qty.Purchas'd (units)
the denominator of the original improper fraction
Percent Change
quadrilateral
5. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
To find out - easily - if one fraction is bigger than another
unit ratio
Decimals/Percents
numerator
6. Can have many different combinations of factors
sample
Even div. by 4
Composite number
Inequality
7. Is the disagreement of things in Quantity.
Inequality
range
Evaluating Powers With Negative Exponents
Known quantities
8. TotalCost($) = ?
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9. Surface space that is measured in square units.
area
A minus sign ( - ) is used for two entirely different purposes:
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.
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
10. 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.
2 and/or 5 only
When numbers do not divide evenly
Being divided by a power of 10
cylinder
11. What are the properties of the diagonals of a Rhombus?
exponent
radius
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
The sum of all the integers from 20 to 100 - inclusive
12. A triangle with one right angle
When numbers do not divide evenly
right triangle
always clear the innermost groups first
Decreases
13. Basic Number Properties and elementary operations.
Number Systems
Species
prime factors
theorem
14. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
Shift DP 2 places right
x-coordinate
x-coordinate
prism
15. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
always clear the innermost groups first
divisor
Quantity
Multitude
16. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
The Decimal Numbering System
Reducing fractions
Quantity is expressed
pi
17. Quantities which are both equal to one and the same third are equal to one another.
Axiom III.
lowercase Variables
absolute value
simplify
18. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
the denominator of the original improper fraction
integer or whole number
Negative-value integers
Even div. by 4
19. Unit Profit = ?
mixed fractions
When to use the Heavy Division Shortcut - and how to do it
Species
Sale Price - Unit Cost
20. 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.
mixed number
Step 2 of Converting mixed numbers to improper fractions
integer values
Converting mixed numbers to improper fractions.
21. A number that is not a prime number is called a
median
composite number
2 and/or 5 only
radius
22. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
scale drawing
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Axiom IV.
Wage Rate ($ per hr) x Hrs worked
23. The whole is equal to all of its parts taken together.
Adding negative integers will always produce a negative sum
Axiom V.
parallelogram
0.625
24. The Sum of n consecutive integers is Not divisible by n if n is
square unit
composite number
Even
Sale Price - Unit Cost
25. What's the reciprocal of v6 - and why?
2
Change / Original Formula?
area
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
26. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
least common multiple (LCM)
When numbers do not divide evenly
x = (+-) a
27. The result of the division called the
quotient
Quantity
y-coordinate
The concept of trading decimal places and how it works
28. Indicates the number of times the base is to be multiplied
Odd
congruent
axiom
exponent
29. A unit for measuring area
square unit
vertex (vertices - plural)
A sum of 2 primes is Odd
commutative law of multiplication
30. One number is said to be greater than (>) another when it is
octagon
Number
Mathematics
farther to the right on the number line.
31. A triangle that has three equal sides and three equal angles
lowercase Variables
divisor
integers
equilateral triangle
32. The numerator is smaller than the denominator
When to use fractions
Odd
lowest terms
proper fraction
33. Decreasing the Denominator of a fraction Increases/Decreases the value?
The height of a triangle
Shift DP 2 places right
Increases the value.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
34. A known quantity we refer to as One.
Unity - or a Unit
x-axis
divisor
Terminating decimal
35. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
Axiom VII.
Terminating decimal
mixed number
36. Total Sales or Revenue = ?
area
Unit Price x Qty. Sold
diameter
pyramid
37. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
Negative-value integers
y-coordinate
Reducing: The Brute-Force Method
38. Two angles whose sum equals 90 degrees.
perimeter
Positive-value integers
complementary angles
congruent
39. Includes an integer as well as a fractional part
mixed number
polygon
range
perimeter
40. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
complementary angle
parallel lines
reciprocal
0
41. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
Carry the 10's digit of the product to the top of the 10's column of factors.
least common multiple (LCM)
simplify
mixed fractions
42. 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 opposite signs:
To add integers that have the same sign (both positive or both negative):
equilateral triangle
always clear the innermost groups first
43. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
Percent Decrease Formula
( (Last - First) / Increment ) + 1
Even
44. Two angles whose sum equals 90 degrees
Fractions allow you to plot values between whole numbers and integers.
complementary angle
Revenue ($) - Cost ($)
like fractions
45. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
roots of numbers
Even
hexagon
composite number
46. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
There are two parts in the procedure for subtracting signed integers:
0.625
improper fraction
When the addends have opposite signs one is + and the other is -
47. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
radius
Even and Odd
mixed fraction
48. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
one is positive and the other is negative
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
farther to the left on the number line
49. A statement that needs to be demonstrated and is called in Latin demonstrandum.
exponent
theorem
rhombus
Revenue ($) - Cost ($)
50. In a group of values - the value that occurs most often.
exactly the same portion
More
Being divided by a power of 10
mode