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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
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.
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 number that tells how many times the base is multiplied by itself
Even or Non-Int
pi
mode
exponent
2. 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.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
prime number
unit ratio
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
3. Lines in the same plane that do not intersect. The symbol //
circumference
Homogenous or Heterogenous
parallel lines
Magnitude
4. Unit Profit = ?
Sale Price - Unit Cost
Even
vertex (vertices - plural)
To make sure to solve for Both cases.
5. To make a fraction easier to work with by taking out common factors
Odd
simplify
A = (Diagonal1 x Diagonal2) / 2
Axiom V.
6. In a division problem - it's the number being divided
Decimals/Percents
dividend
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
When the addends have opposite signs one is + and the other is -
7. A combination of numbers and variables connected by one or more operations signs
prism
A = (Base x Height) / 2 - A = (BH)/2
expression
Unit Price x Qty. Sold
8. Two angles whose sum equals 90 degrees
complementary angle
x-axis
mixed number
Even
9. Two numbers are said to be equal (=) when they are at
theorem
the same point on the number line
right triangle
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
10. 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.
Long Division
the same point on the number line
mixed number
supplementary angles
11. 0.625 --> Fraction ?
5/8
The Decimal Numbering System
Unit Price x Qty. Sold
composite number
12. The amount that remains after one number has been subtracted from another
range
numerator
difference
parallel lines
13. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
Mathematics
scalene triangle
proper fractions
14. A solid figure with two congruent and parallel circular bases
x = (+-) a
cylinder
To square an equation to solve it
obtuse angle
15. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
Odd
Step 2 of Converting mixed numbers to improper fractions
integer values
16. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
denominator
Species
expression
17. Change + - Original = New
similar figures
Change / Original Formula?
2^3 = 8
Magnitude
18. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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19. Species are distinguished into
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
Unknown quantities
congruent
Known (Given) and Unknown (Sought)
20. One of the four regions formed by the intersection of the axes of a coordinate graph
proper fractions
Percent Change
quadrant
base
21. The absolute value of numbers is indicated by
Adding negative integers will always produce a negative sum
sample
y-coordinate
enclosing the numbers in a pair of vertical lines | |
22. Every quantity is equal to itself.
To add integers that have opposite signs:
Axiom II.
scalene triangle
octagon
23. Two or more fractions that have the same denominator
denominator
like fractions
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
complementary angles
24. An angle that measures 180 degrees
straight angle
higher terms
scalene triangle
multiplicand
25. 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:
quadrant
ratio
divisor
26. What's the reciprocal of v6 - and why?
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
Odd
hexagon
prism
27. Original x (1 - x/100) = New
Wage Rate ($ per hr) x Hrs worked
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Percent Decrease Formula
base
28. Percent Decrease Formula ?
denominator
Magnitude
Sale Price - Unit Cost
Original x (1 - x/100) = New
29. In a group of values - the value that occurs most often.
Equal
mode
higher terms
Decimals/Percents
30. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
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
Different Units
radius
combination of addition and subtraction
31. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
pi
Odd
Unit Price x Qty. Sold
32. The two kinds of Quantity are
reflection
Zero multiplied by any value
Multitudes and Magnitudes
To find out - easily - if one fraction is bigger than another
33. The Sum of n consecutive integers is divisible by n if n is
reduced fraction
Odd
Step 2 of Converting Improper Fractions to Mixed Numbers
Decimals/Percents
34. By the first letters of the alphabet (a - b - c - d - etc..)
Axiom I.
Unknown quantities
improper fraction
roots of numbers
35. What is the perimeter of a Polygon?
Known quantities
Zero (0)
Original + Change = New Change/Original = Percent Change
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
36. A parallelogram with four right angles
rectangle
Even
the denominator of the original improper fraction
mode
37. The whole-number system uses only ten characters -0 through 9.
The Decimal Numbering System
denominator
isosceles triangle
To add integers that have opposite signs:
38. The distance around a circle (the perimeter of a circle)
before solving
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
circumference
dividend
39. Is ZERO positive or negative - both - or none?
Even
Both
rate
Change + - Original = New
40. A comparison of the two values of two numbers
Line Segments
straight angle
ratio
Sum of Interior Angles of a Polygon: (n - 2) x 180
41. What is the formula forCounting consecutive multiples?
divisor
Greater
( (Last - First) / Increment ) + 1
factors of the multiplication operation
42. 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.
Positive-value integers
y-axis
Reducing: The Brute-Force Method
parallelogram
43. 1 to any power is equal to
1
mixed number
quadrilateral
combination of addition and subtraction
44. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The height of a triangle
The rule for adding negative integers is the same as the rule for adding positive integers:
Aliquant Part
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
45. A fraction with a numerator that is larger than or equal to its denominator.
Arithmetic - Music - Geometry and Astronomy
square root
percent
improper fraction
46. A solid figure that has triangles for its sides and a polygon as its base
Shift DP 2 places left
pyramid
diameter
Sum of Interior Angles of a Polygon: (n - 2) x 180
47. 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
To add integers that have opposite signs:
When to use fractions
Axiom II.
Negative-value integers
48. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Odd
range
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
Decimals/Percents
49. One of those primes must be the number __ ?
A sum of 2 primes is Odd
proper fraction
diameter
Step 2 of Converting mixed numbers to improper fractions
50. A value such as 5^2 can be called
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