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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. Unit Profit = ?
Sale Price - Unit Cost
Step 2 of Converting Improper Fractions to Mixed Numbers
UnitPrice ($/unit) x Qty.Purchas'd (units)
Being divided by a power of 10
2. 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
mixed number
least common multiple (LCM)
expression
3. 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.
When numbers do not divide evenly
scalene triangle
like fractions
Parts
4. Why are Even Exponents dangerous?
To add integers that have the same sign both positive or both negative:
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
'six cubed'
reciprocal
5. An eight-sided polygon
octagon
Axiom V.
farther to the left on the number line
The sum of all the integers from 20 to 100 - inclusive
6. 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.
rectangle
Reducing: The Brute-Force Method
Both
Axiom I.
7. A mathematical sentence that uses an equal sign
inverse operations
Even div. by 4
equation
pi
8. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
equal to 1
The concept of trading decimal places and how it works
Number Systems
9. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Quantity
inverse operations
Zero multiplied by any value
Number Systems
10. Signs of grouping may be nested
Different Units
supplementary angles
rectangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
11. A parallelogram with all sides equal and congruent
mixed number
rhombus
cubed
area
12. The two kinds of Quantity are
inverse operations
Odd
putting that number over 1
Multitudes and Magnitudes
13. To indicate the addition operation- to indicate a positive integer value
mixed number
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
angle
A plus sign (+) is used for two entirely different purposes:
14. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
Even
higher terms
improper fractions
Negative-value integers
15. 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.
polygon
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Axiom VI.
0.625
16. Any whole number can be expressed in terms of the
cross product
When to use fractions
Line Segments
product
17. Two or more fractions that have the same denominator
prism
like fractions
mixed number
Step 2 of Converting Improper Fractions to Mixed Numbers
18. In a group of values - the value that occurs most often
improper fraction
Odd
mode
Evaluating Powers With Negative Exponents
19. 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
Unit Price x Qty. Sold
When numbers do not divide evenly
proportion
Being divided by a power of 10
20. A polygon that has four sides.
axiom
proper fraction
cross product
quadrilateral
21. The result of muliplying two or more numbers
Unknown quantities
Inequality
product
proper fraction
22. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Unit Price x Qty. Sold
factor
To add integers that have opposite signs:
Relative multitude
23. A fraction with all common factors (other than 1) factored out of the numerator and denominator
mode
lowest terms
Revenue ($) - Cost ($)
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
24. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
2
Step 1 of Converting Improper Fractions to Mixed Numbers
inverse
Wage Rate ($ per hr) x Hrs worked
25. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Wage Rate ($ per hr) x Hrs worked
probability
lowercase Variables
Even - Odd or Non-Int
26. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
Axiom I.
rectangle
mixed number
27. When are you allowed to divide by a variable - (or Any expression) ?
farther to the left on the number line
When you are absolutely sure the variable or expression <> 0
Known (Given) and Unknown (Sought)
numerator
28. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
right triangle
Even div. by 4
area
Subtracting Signed Integers
29. The Sum of n consecutive integers is divisible by n if n is
Odd
right angle
Known quantities
Whole Numbers
30. Any number with an exponent of 0
equal to 1
absolute value
Original + Change = New Change/Original = Percent Change
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
31. Zero divided by any whole number (except 0)
divisor
Is zero
area
Even
32. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
pentagon
parallelogram
Shift DP 2 places right
33. The whole is equal to all of its parts taken together.
cylinder
lowest terms
Axiom V.
quadrilateral
34. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
factoring
quadrant
Zero (0)
lowercase Variables
35. 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
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
Negative-value integers
lowercase Variables
To convert any fraction to higher terms
36. Part of the population that is studied to find the characteristics of the whole population.
dividend
lowercase letters
sample
Sum of Interior Angles of a Polygon: (n - 2) x 180
37. Two numbers listed in a specific order; it describes a point on the coordinate graph
Fractions allow you to plot values between whole numbers and integers.
parallel lines
Even
ordered pair
38. An angle that measures 90 degrees
Even
The concept of trading decimal places and how it works
right angle
area
39. The difference between the least and greatest values in a set of numbers
Even
Aliquot and Aliquant Parts
A sum of 2 primes is Odd
range
40. A line segment that passes through the center of a circle and has its endpoints on the circle
Line Segments
To add integers that have opposite signs:
diameter
Multitude
41. Is the disagreement of things in Quantity.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Revenue ($) - Cost ($)
Inequality
To convert any fraction to higher terms
42. 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.
How the Last Digit Shortcut works
Wage Rate ($ per hr) x Hrs worked
Increases the value.
square unit
43. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
How the Last Digit Shortcut works
Even or Non-Int
equal to itself.
percent
44. In a division problem - the number that an amount is divided by
Shift DP 2 places left
divisor
A = (Base x Height) / 2 - A = (BH)/2
dividend
45. An angle measuring more than 90 degrees and less than 180 degrees
rectangle
Zero (0)
median
obtuse angle
46. A number with an exponent of 3 is often said to be
Is zero
the same point on the number line
Power notation
cubed
47. Having the same size and shape
Axiom II.
congruent
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
equation
48. The distance around a circle (the perimeter of a circle)
rate
greatest common factor (GCF)
circumference
y-axis
49. A triangle that has three equal sides and three equal angles
pyramid
x/100
square unit
equilateral triangle
50. In a group of values - the value that occurs most often.
difference
mode
rhombus
Inserting a zero at the left end of a whole number