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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. No integer (except 1) that divides evenly into both the numerator and denominator.
The Decimal Numbering System
Every integer between 1 and X - inclusive - must be a factor of X
reduced fraction
trapezoid
2. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Line Segments
Even and Odd
isosceles triangle
Change + - Original = New
3. 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.
Different Units
vertex (vertices - plural)
quadrant
Reducing: The Brute-Force Method
4. The distance around a circle (the perimeter of a circle).
fraction or broken number
One... the number 2
circumference
quadrant
5. When working with nested signs of grouping
Whole Numbers
always clear the innermost groups first
parallelogram
A = (Diagonal1 x Diagonal2) / 2
6. The result of muliplying two or more numbers
Inserting a zero at the left end of a whole number
similar figures
product
Axiom VI.
7. The result of the multiplication is called the
simplify
diameter
product
Zero multiplied by any value
8. The study of quantity
Even - Odd or Non-Int
Mathematics
exponent
unit ratio
9. A whole number can be expressed as an improper fraction by
Whole
y-axis
putting that number over 1
sum
10. What is the formula forCounting consecutive integers?
Step 1 of Converting Improper Fractions to Mixed Numbers
Multitudes and Magnitudes
(Last - First + 1)
rate
11. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
lowercase Variables
congruent
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.
x/100
12. One of the four regions formed by the intersection of the axes of a coordinate graph
before solving
Shift DP 2 places right
quadrant
integer values
13. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
simplify
change the operation from subtraction to addition
mixed number
Whole Numbers
14. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Subtracting Signed Integers
Species
Wage Rate ($ per hr) x Hrs worked
sample
15. A polygon that has four sides
Shift DP 2 places right
quadrilateral
Being divided by a power of 10
multiplicand
16. Includes an integer as well as a fractional part
rate
prism
mixed number
area
17. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
product
factor
squared
18. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
equivalent
Unit Price x Qty. Sold
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
19. 1 to any power is equal to
mixed number
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?
0
1
20. Any number with an exponent of 1
equal to itself.
Greater
cubed
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
21. The two kinds of Magnitude are
Even
quadrilateral
Magnitude at Rest and Magnitude in Motion
The bottom side of the triangle
22. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
1 - (y/100)
To add integers that have opposite signs:
Non-Int
The Ratio of Any two of the following: Original - Change and New
23. What is the formula forCounting consecutive multiples?
Axiom VI.
Odd
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
( (Last - First) / Increment ) + 1
24. A number with an exponent of 2 is often said to be
y-coordinate
base
squared
improper fraction
25. The result of multiplying two or more numbers.
product
Change + - Original = New
Step 1 of Converting Improper Fractions to Mixed Numbers
divisor
26. Cross-multiply
product
straight angle
To find out - easily - if one fraction is bigger than another
2 and/or 5 only
27. The figure formed when two rays meet at a common endpoint called a vertex.
order of operations
angle
percent
Axiom X.
28. Surface space that is measured in square units
expression
area
Step 1 of Converting Improper Fractions to Mixed Numbers
simplify
29. 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):
equation
When to use fractions
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
30. What are the 2 'percent change' equations?
squared
factor
( (Last - First) / Increment ) + 1
Original + Change = New Change/Original = Percent Change
31. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Even and Odd
integer or whole number
right angle
unit ratio
32. A fraction with all common factors (other than 1) factored out of the numerator and denominator
(Last - First + 1)
lowest terms
Evaluating Powers With Negative Exponents
combination of addition and subtraction
33. A solid figure that has triangles for its sides and a polygon as its base
pyramid
Increases the value.
'five squared'
unit ratio
34. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
One... the number 2
Inserting a zero at the right end of a whole number
Odd
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
35. Odd x ? = Even
product
combination of addition and subtraction
Even
circumference
36. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
quadrant
mixed number
scalene triangle
x-coordinate
37. An angle measuing more than 0 degrees and less than 90 degrees
A sum of 2 primes is Odd
Zero (0)
acute angle
y-axis
38. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
Zero (0)
Unit Cost + Markup
quotient
39. Change/Original = New
Percent Change
quotient
hexagon
0.625
40. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
exponent
diameter
mean
41. ' x percent' = ?
To find out - easily - if one fraction is bigger than another
x/100
Relative multitude
Converting mixed numbers to improper fractions.
42. 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 intege
To convert any fraction to higher terms
Even - Odd or Non-Int
they have the same absolute value
There are two parts in the procedure for subtracting signed integers:
43. Species and Number may be
Homogenous or Heterogenous
octagon
congruent
unit ratio
44. Two angles whose sum is 180 degrees
supplementary angles
Magnitude at Rest and Magnitude in Motion
Zero multiplied by any value
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
45. 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
y-coordinate
Negative-value integers
base
Long Division
46. 0.625 --> Fraction ?
congruent
5/8
Aliquot and Aliquant Parts
Positive-value integers
47. The lower number in a fraction is the
right angle
denominator
dividend
putting that number over 1
48. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
2^3 = 8
Converting mixed numbers to improper fractions.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
49. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
A = (Diagonal1 x Diagonal2) / 2
least common multiple (LCM)
area
50. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
order of operations
farther to the right on the number line.
absolute value
Can you answer 50 questions in 15 minutes?
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