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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. An angle measuring more than zero degrees and less than 90 degrees
The Ratio of Any two of the following: Original - Change and New
mixed number
Axiom III.
acute angle
2. A polygon with five sides
product
ratio
pentagon
range
3. Percent Decrease Formula ?
Original + Change = New Change/Original = Percent Change
Evaluating Powers With Negative Exponents
supplementary angles
Original x (1 - x/100) = New
4. Is the opposite of raising fractions to higher terms.
vertex (vertices - plural)
Converting Improper Fractions to Mixed Numbers
reciprocal
Reducing fractions
5. A value that combines a whole number and a fractional amount
Percent Change
mixed number
product
acute angle
6. TotalCost($) = ?
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7. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
2
trapezoid
To add integers that have opposite signs:
2
8. To make a fraction easier to work with by taking out common factors
Change / Original Formula?
product
simplify
To square an equation to solve it
9. A fraction with all common factors (other than 1) factored out of the numerator and denominator
x-coordinate
lowest terms
equation
Multitude
10. .625 --> Percent?
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
proportion
62.5%
Even
11. Taken together - the multiplicand and multiplier are known as
lowest terms
factors of the multiplication operation
0
right triangle
12. The result of the multiplication is called the
product
Odd
proper fraction
scale drawing
13. A parallelogram with four right angles
Even - Odd or Non-Int
Different Units
rectangle
A sum of 2 primes is Odd
14. A polygon that has four sides
quadrilateral
improper fraction
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
product
15. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
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.
straight angle
median
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
16. A number that is a multiple of all denominators in a problem.
rhombus
The concept of trading decimal places and how it works
common denominator
Even
17. Odd / Even = ? e.g. 9/6 = 1.5
rate
Composite number
Non-Int
Zero (0)
18. Expresses fractional parts that are greater than 1.
putting that number over 1
5/8
proportion
mixed number
19. Has no sign value
pi
Zero (0)
Evaluating Powers With Negative Exponents
5/8
20. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
Axiom II.
range
the Complement of that part to the whole
y-axis
21. Is equal to the original value. a x 1 = 1
hexagon
Any value multiplied by one
Change + - Original = New
Step 1 of Converting mixed numbers to improper fractions
22. Profit = ?
Revenue ($) - Cost ($)
similar figures
1
mixed fractions
23. A mathematical sentence that uses an equal sign
equation
Step 2 of Converting mixed numbers to improper fractions
Decreases
prism
24. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
similar figures
When to use the Heavy Division Shortcut - and how to do it
The concept of trading decimal places and how it works
Positive-value integers
25. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
unit ratio
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
Inserting a zero at the right end of a whole number
range
26. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
percent
Increases the value.
Step 2 of Converting mixed numbers to improper fractions
Odd
27. A value such as 6^3 can described as
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28. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Shift DP 2 places left
sum
ordered pair
Aliquot Part
29. An eight-sided polygon
octagon
pi
Negative-value integers
product
30. The terms Species and Number
referred to the same Unit
Quantity is expressed
prime number
before solving
31. A polygon with six sides.
x/100
hexagon
One... the number 2
x-coordinate
32. Is the agreement of things in Quanity.
A = (D1 x D2) / 2
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
axiom
Equality
33. The numerator is greater than - or equal to - the denominator
x = (+-) a
Adding negative integers will always produce a negative sum
congruent
improper fraction
34. Original x (1 - x/100) = New
percent
proper fractions
Percent Decrease Formula
divisor
35. Area of a Rhombus is?
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
A = (D1 x D2) / 2
sum
inverse operations
36. An angle that measures 180 degrees
straight angle
Step 2 of Converting Improper Fractions to Mixed Numbers
when there are explicit or implicit equations in the problem:
When you are absolutely sure the variable or expression <> 0
37. Any value divided by one
Is equal to the original value
x-coordinate
expression
Original + Change = New Change/Original = Percent Change
38. A number that tells how many times the base is multiplied by itself
exponent
change the operation from subtraction to addition
square unit
Axiom VIII.
39. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
Known quantities
A minus sign ( - ) is used for two entirely different purposes:
Every integer between 1 and X - inclusive - must be a factor of X
40. The difference between the least and greatest values in a set of numbers
median
octagon
denominator
range
41. One number is said to be greater than (>) another when it is
trapezoid
radius
2
farther to the right on the number line.
42. What are the 3 main formulaic properties of evenly-spaced sets?
sum
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
Inequality
before solving
43. A number is increased by 25%... what must you reduce the new number by to get the old number again?
higher terms
The bottom side of the triangle
farther to the right 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
44. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
Unit Cost + Markup
The sum of all the integers from 20 to 100 - inclusive
Decreases
Aliquot Part
45. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
cubed
Decreases
Being divided by a power of 10
mean
46. To indicate the subtraction operation - to indicate a negative integer value
rectangle
A minus sign ( - ) is used for two entirely different purposes:
simplify
diameter
47. Total Earnings ($) = ?
To convert any fraction to higher terms
Wage Rate ($ per hr) x Hrs worked
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
product
48. Profit = ?
A plus sign (+) is used for two entirely different purposes:
Revenue ($) - Cost ($)
range
Number
49. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
mixed fractions
How the Last Digit Shortcut works
A minus sign ( - ) is used for two entirely different purposes:
50. The lower number in a fraction is the
y-coordinate
The rule for adding negative integers is the same as the rule for adding positive integers:
denominator
Aliquant Part