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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. Method: convert Percent to Decimal?
Shift DP 2 places left
from left to right
proportion
Composite number
2. Is Always perpendicular (at 90 deg. to) the base!
Change + - Original = New
The height of a triangle
Power notation
octagon
3. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
theorem
product
equal to itself.
Greater
4. Expresses fractional parts that are greater than 1.
numerator
prism
improper fraction
mixed number
5. Change / Original Formula
pyramid
Percent Decrease Formula
Change + - Original = New
percent
6. The distance around a circle (the perimeter of a circle).
circumference
When you are absolutely sure the variable or expression <> 0
supplementary angles
proper fraction
7. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Positive-value integers
cross product
Original x (1 - x/100) = New
denominator
8. Unit Profit = ?
Equal
numerator
the Complement of that part to the whole
Sale Price - Unit Cost
9. What is the formula forCounting consecutive integers?
Axiom X.
mixed number
inverse
(Last - First + 1)
10. The number being multiplied is called the
Equal
Original x (1 - x/100) = New
multiplicand
( (Last - First) / Increment ) + 1
11. A triangle with two equal sides and two equal angles
Multitudes and Magnitudes
Quantity
isosceles triangle
Non-Int
12. The exact procedure for adding signed integers depends upon
exactly the same portion
radius
More
whether the addends have the same sign or opposite signs
13. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
Revenue ($) - Cost ($)
the Complement of that part to the whole
commutative law of multiplication
14. What is the formula forCounting consecutive integers?
Inserting a zero at the left end of a whole number
(Last - First + 1)
Inequality
Multitude
15. In a group of values - the value that occurs most often
range
A minus sign ( - ) is used for two entirely different purposes:
common factor
mode
16. Signs of grouping may be nested
Axiom X.
Even - Odd or Non-Int
Percent Change
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
17. The result of muliplying two or more numbers
diameter
A minus sign ( - ) is used for two entirely different purposes:
combination of addition and subtraction
product
18. 1 to any power is equal to
1
percent
octagon
least common multiple (LCM)
19. Factors may be multiplied in any order.
reduced fraction
before solving
commutative law of multiplication
mixed number
20. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
octagon
polygon
Fractions allow you to plot values between whole numbers and integers.
sample
21. The numerator of the fraction part of the mixed number is the remainder from the
quotient
farther to the left on the number line
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
Original x (1 - x/100) = New
22. The method for indicating the power of a number
Evaluating Powers With Negative Exponents
Step 2 of Converting mixed numbers to improper fractions
improper fraction
Power notation
23. What is the increment of a set of consecutive integers?
Change / Original Formula?
hexagon
1
Odd
24. The vertical number line of a coordinate graph
mixed fractions
y-axis
Even - Odd or Non-Int
Step 1 of Converting Improper Fractions to Mixed Numbers
25. A solid figure with two congruent and parallel circular bases
cylinder
diameter
A = (Base x Height) / 2 - A = (BH)/2
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
26. A triangle with sides of different lengths and no two angles are the same
Odd
Aliquot and Aliquant Parts
scalene triangle
Zero (0)
27. 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?
Unit Cost + Markup
Whole
obtuse angle
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.
28. Every quantity is equal to itself.
(Last - First + 1)
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
Axiom II.
Axiom VI.
29. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
axiom
vertex (vertices - plural)
Composite number
Power notation
30. A polygon with six sides.
area
hexagon
Alternative to the algebraic manipulation method to solving a VIC
probability
31. Having the same size and shape
x-axis
Species
Reducing by the Largest Common Factor (LCF)
congruent
32. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
0.625
Alternative to the algebraic manipulation method to solving a VIC
Odd or Non-Int
congruent
33. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Even
proportion
Odd
equal to itself.
34. Any whole number can be expressed in terms of the
product
Line Segments
axiom
equilateral triangle
35. What are the rules for picking numbers in VICS?
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
dividend
1 - (y/100)
integer or whole number
36. The smallest multiple that two or more numbers have in common
Inserting a zero at the right end of a whole number
Known (Given) and Unknown (Sought)
least common multiple (LCM)
Wage Rate ($ per hr) x Hrs worked
37. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
sample
Converting Improper Fractions to Mixed Numbers
Magnitude
integer values
38. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
probability
When you are absolutely sure the variable or expression <> 0
Unknown quantities
2
39. Two angles whose sum equals 90 degrees.
Carry the 10's digit of the product to the top of the 10's column of factors.
Any value multiplied by one
complementary angles
A = (Base x Height) / 2 - A = (BH)/2
40. How many Even primes are there?
One... the number 2
Axiom VIII.
A = (Base x Height) / 2 - A = (BH)/2
Odd
41. The number doing the dividing is called the
divisor
Axiom II.
Proof
denominator
42. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
lowercase letters
like fractions
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
Step 1 of Converting mixed numbers to improper fractions
43. Switch to a number-picking strategy
Alternative to the algebraic manipulation method to solving a VIC
How the Last Digit Shortcut works
Multitudes and Magnitudes
'six cubed'
44. The amount that remains after one number has been subtracted from another
perimeter
Both
difference
Any value multiplied by one
45. A comparison of the two values of two numbers
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.
ratio
Aliquot and Aliquant Parts
Inserting a zero at the left end of a whole number
46. Why are Even Exponents dangerous?
When the addends have the same sign both + or both -
Both
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Non-Int
47. A triangle with one right angle
always clear the innermost groups first
base
right triangle
congruent
48. One of those primes must be the number __ ?
similar figures
'six cubed'
integer values
A sum of 2 primes is Odd
49. Two numbers are said to be equal (=) when they are at
the same point on the number line
Negative-value integers
The concept of trading decimal places and how it works
1 and itself
50. Is the disagreement of things in Quantity.
Negative-value integers
exponent
Inequality
To add integers that have opposite signs: