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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. Total Sales or Revenue = ?
denominator
Unit Price x Qty. Sold
range
Percent Decrease Formula
2. 1 to any power is equal to
lowercase letters
isosceles triangle
1
x-axis
3. Indicates the number of times the base is to be multiplied
exponent
divisor
x/100
simplify
4. The largest single factor for two or more numbers.
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?
greatest common factor (GCF)
Axiom X.
Increases the value.
5. For there to be X unique factors of X - what must be true?
equal to itself.
Unit Cost + Markup
Every integer between 1 and X - inclusive - must be a factor of X
quadrant
6. The result of dividing one number by another; the solution to a division problem
right triangle
quotient
octagon
Axiom II.
7. The Only possible factors for a prime number are
Original + Change = New Change/Original = Percent Change
mixed number
1 and itself
enclosing the numbers in a pair of vertical lines | |
8. The vertical number line of a coordinate graph
obtuse angle
y-axis
proportion
To square an equation to solve it
9. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
dividend
(Last - First + 1)
Even and Odd
The sum of all the integers from 20 to 100 - inclusive
10. Adding integers that have the same sign means
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
rectangle
axiom
both integers are positive or both are negative
11. By the last letters (u - x - y - etc.)
Being divided by a power of 10
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
Percent Decrease Formula
Known quantities
12. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Proof
Aliquant Part
To add integers that have the same sign both positive or both negative:
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
13. Sale Price = ?
radius
quotient
Unit Cost + Markup
A plus sign (+) is used for two entirely different purposes:
14. If 2 numbers are OPPOSITES of each other
To square an equation to solve it
they have the same absolute value
cubed
Long Division
15. 3 ways to solve an absolute value inequality
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
like fractions
Inserting a zero at the right end of a whole number
numerator
16. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
scale drawing
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
fraction or broken number
hexagon
17. The numerator is greater than - or equal to - the denominator
reflection
improper fraction
Axiom VIII.
circumference
18. 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.
prism
Long Division
lowercase Variables
To square an equation to solve it
19. Basic Number Properties and elementary operations.
composite number
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
How the Last Digit Shortcut works
Number Systems
20. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Converting Improper Fractions to Mixed Numbers
'five squared'
square unit
Sum of Interior Angles of a Polygon: (n - 2) x 180
21. The whole is more or greater than its part.
Axiom IV.
Axiom III.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Revenue ($) - Cost ($)
22. All whole numbers (both positive and negative) and zero.
'five squared'
integers
circumference
axiom
23. A polygon that has four sides.
Revenue ($) - Cost ($)
Aliquot Part
Adding negative integers will always produce a negative sum
quadrilateral
24. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
x-axis
mode
proper fractions
25. Where do fractions occur on a number line?
Odd
1
Fractions allow you to plot values between whole numbers and integers.
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
26. A parallelogram with four right angles
y-coordinate
dividend
putting that number over 1
rectangle
27. The two kinds of Quantity are
Converting Improper Fractions to Mixed Numbers
Multitudes and Magnitudes
Even
Inequality
28. The vertical number line of a coordinate graph
proportion
y-axis
2
Subtracting Signed Integers
29. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
x-axis
exponent
Fractions allow you to plot values between whole numbers and integers.
30. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
mean
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
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
31. The process of breaking a number down into its factors is called
right angle
factoring
Even or Non-Int
denominator
32. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
UnitPrice ($/unit) x Qty.Purchas'd (units)
Even
higher terms
33. 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').
parallelogram
Number Systems
Being divided by a power of 10
Whole Numbers
34. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
Sale Price - Unit Cost
Sum of Interior Angles of a Polygon: (n - 2) x 180
diameter
35. 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.
multiplier
difference
Step 2 of Converting mixed numbers to improper fractions
Converting mixed numbers to improper fractions.
36. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
mixed number
right triangle
improper fraction
37. An equation stating that two ratios are equal
isosceles triangle
proportion
More
The Decimal Numbering System
38. A number with only two factors: the number itself and one.
quotient
scalene triangle
Whole
prime number
39. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
When to use fractions
ordered pair
( (Last - First) / Increment ) + 1
order of operations
40. Every lesser number is contained in a greater more than once.
2
1
0
Axiom VIII.
41. An angle that measures 90 degrees
Composite number
right angle
lowercase letters
polygon
42. Odd +/- ____ = Odd
square root
quotient
Every integer between 1 and X - inclusive - must be a factor of X
Even
43. A number that is a multiple of all denominators in a problem.
'five squared'
Odd
whether the addends have the same sign or opposite signs
common denominator
44. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
radius
similar figures
Evaluating Powers With Negative Exponents
Axiom VIII.
45. TotalCost($) = ?
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46. A mathematical sentence that uses an equal sign
equation
x = (+-) a
Magnitude at Rest and Magnitude in Motion
parallelogram
47. The ratio of a number to 100 (per one hundred); the symbol %
percent
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
pyramid
integers
48. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
pyramid
To convert any fraction to higher terms
divisor
49. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
squared
To add integers that have the same sign both positive or both negative:
Even
roots of numbers
50. Odd x ? = Even
equivalent
ratio
Even
Inserting a zero at the right end of a whole number