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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. All the positive whole numbers
integer values
circumference
equivalent
perimeter
2. Sale Price = ?
Axiom X.
'five squared'
Even
Unit Cost + Markup
3. The two kinds of Quantity are
Multitudes and Magnitudes
x-coordinate
Number Systems
Quantity
4. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
percent
multiplicand
mixed fractions
To add integers that have opposite signs:
5. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Fractions allow you to plot values between whole numbers and integers.
A minus sign ( - ) is used for two entirely different purposes:
similar figures
6. The base of a triangle refers to?
The bottom side of the triangle
fraction or broken number
right angle
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
7. 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
Subtracting Signed Integers
Percent Decrease Formula
circumference
Being divided by a power of 10
8. An evenly-spaced set is fully-defined if what is known...?
Zero (0)
quotient
equal to 1 divided by that number with a positive exponent
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
9. Odd / Even = ? e.g. 9/6 = 1.5
mean
prime number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Non-Int
10. Decreasing the Denominator of a fraction Increases/Decreases the value?
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
Axiom VII.
Unit Price x Qty. Sold
Increases the value.
11. What is the formula forCounting consecutive integers?
(Last - First + 1)
When numbers do not divide evenly
Change / Original Formula?
Mathematics
12. A triangle with one right angle
0
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
right triangle
When to use fractions
13. Original x (1 - x/100) = New
Odd
prism
Percent Decrease Formula
quadrant
14. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
median
Even
(Last - First + 1)
When the addends have opposite signs one is + and the other is -
15. The difference between the least and greatest values in a set of numbers
range
composite number
Converting Improper Fractions to Mixed Numbers
acute angle
16. What are the rules for picking numbers in VICS?
When the addends have opposite signs one is + and the other is -
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
Adding negative integers will always produce a negative sum
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
17. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
absolute value
polygon
Axiom VI.
inverse operations
18. A number that when multiplied by itself results in the original number
circumference
prime number
The bottom side of the triangle
square root
19. What is the only Even prime number?
2
simplify
both integers are positive or both are negative
percent
20. Always perform combinations of multiplication and division before
Decreases
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Magnitude
combination of addition and subtraction
21. A comparison of the two values of two numbers
Percent Decrease Formula
ratio
complementary angle
Multitude
22. Part of the population that is studied to find the characteristics of the whole population.
mixed number
sample
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
( (Last - First) / Increment ) + 1
23. Whole is equal in Multitude to a Part of the other.
numerator
integers
Equal
'six cubed'
24. When are you allowed to divide by a variable - (or Any expression) ?
right triangle
reciprocal
A sum of 2 primes is Odd
When you are absolutely sure the variable or expression <> 0
25. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
Being divided by a power of 10
rectangle
both integers are positive or both are negative
26. Total Sales or Revenue = ?
Unit Price x Qty. Sold
contains only a single number
commutative law of multiplication
Every integer between 1 and X - inclusive - must be a factor of X
27. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
Multitudes and Magnitudes
The bottom side of the triangle
proper fraction
28. ' x percent' = ?
Even - Odd or Non-Int
improper fraction
improper fraction
x/100
29. The upper number in a fraction is the
numerator
percent
x-coordinate
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
30. The figure formed when two rays meet at a common endpoint called a vertex.
angle
mixed fractions
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
Converting mixed numbers to improper fractions.
31. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
Even and Odd
Change + - Original = New
Zero (0)
32. The absolute value of numbers is indicated by
proper fractions
enclosing the numbers in a pair of vertical lines | |
prime factors
The bottom side of the triangle
33. The difference between the least and greatest values in a set of numbers.
range
farther to the right on the number line.
fraction or broken number
perimeter
34. Two numbers are said to be equal (=) when they are at
the same point on the number line
( (Last - First) / Increment ) + 1
octagon
when there are explicit or implicit equations in the problem:
35. A triangle that has three equal sides and three equal angles
equilateral triangle
difference
circumference
Is equal to the original value
36. 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.
2
Axiom VIII.
(Last - First + 1)
Converting mixed numbers to improper fractions.
37. 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').
farther to the right on the number line.
Whole Numbers
quotient
absolute value
38. Is equal to the original value. a x 1 = 1
combination of addition and subtraction
Axiom III.
Any value multiplied by one
prism
39. The study of quantity
Mathematics
To make sure to solve for Both cases.
2
To add integers that have opposite signs:
40. The numerator is smaller than the denominator
proper fraction
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?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
common factor
41. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Species
Multitude
referred to the same Unit
Unit Price x Qty. Sold
42. A solid figure that has triangles for its sides and a polygon as its base
Number Systems
perimeter
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
pyramid
43. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
Quantity
Any value multiplied by one
mixed fractions
integer or whole number
44. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
order of operations
numerator
exponent
Some integer/Some Power of 10
45. Change + - Original = New
Change / Original Formula?
Converting mixed numbers to improper fractions.
There are two parts in the procedure for subtracting signed integers:
Even or Non-Int
46. A ratio that compares two different types of quantities
lowercase Variables
rate
Long Division
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?
47. A value such as 6^3 can described as
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48. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
parallelogram
integer or whole number
Even
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
49. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Odd
dividend
Even
The Ratio of Any two of the following: Original - Change and New
50. A polygon with six sides.
when there are explicit or implicit equations in the problem:
hexagon
Axiom V.
Reducing fractions