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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. The formula for the Area of a Rhombus is?
62.5%
A = (Diagonal1 x Diagonal2) / 2
quotient
denominator
2. The distance around a circle (the perimeter of a circle)
circumference
Unknown quantities
The rule for adding negative integers is the same as the rule for adding positive integers:
similar figures
3. 1 to any power is equal to
1
supplementary angles
least common multiple (LCM)
Axiom VIII.
4. An equation stating that two ratios are equal
quotient
proportion
product
Computation
5. The ratio of a number to 100 (per one hundred); the symbol %
product
percent
Proof
(Last - First + 1)
6. Change + - Original = New
percent
Change / Original Formula?
quotient
2^3 = 8
7. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
Axiom IV.
Even
Negative-value integers
8. A mirror image of a figure shown over a line of reflection
Evaluating Powers With Negative Exponents
square unit
reflection
least common multiple (LCM)
9. The vertical number line of a coordinate graph
The Ratio of Any two of the following: Original - Change and New
y-axis
( (Last - First) / Increment ) + 1
Odd
10. 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').
Axiom III.
Whole Numbers
median
When to use the Heavy Division Shortcut - and how to do it
11. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Original x (1 - x/100) = New
Any value multiplied by one
equal to 1 divided by that number with a positive exponent
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
12. Reversed position or direction
inverse
Axiom V.
Decimals/Percents
Adding negative integers will always produce a negative sum
13. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Any value multiplied by one
Terminating decimal
y-coordinate
right angle
14. To indicate the subtraction operation - to indicate a negative integer value
numerator
x-axis
A minus sign ( - ) is used for two entirely different purposes:
1 and itself
15. Basic Number Properties and elementary operations.
Number Systems
the Complement of that part to the whole
(Last - First + 1)
Being divided by a power of 10
16. A polygon with six sides.
Absolute and Relative
rectangle
quotient
hexagon
17. TotalCost($) = ?
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18. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
Axiom IX.
Increases the value.
A = (Base x Height) / 2 - A = (BH)/2
19. A unit for measuring area
referred to the same Unit
square unit
Increases the value.
Computation
20. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
1 and itself
rectangle
Same units
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.
21. Includes an integer as well as a fractional part
mixed 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?
Magnitude at Rest and Magnitude in Motion
Composite number
22. Having the same size and shape
Known quantities
prime number
congruent
Magnitude
23. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
To make sure to solve for Both cases.
Is equal to the original value
Greater
Even
24. Method: convert Decimal to Percent?
Shift DP 2 places right
isosceles triangle
Quantity is expressed
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
25. The total of two or more numbers being added
Both
How the Last Digit Shortcut works
sum
Axiom IV.
26. Whole is equal in Multitude to a Part of the other.
Fractions allow you to plot values between whole numbers and integers.
The bottom side of the triangle
Equal
One... the number 2
27. The result of the multiplication is called the
1 and itself
theorem
Increases the value.
product
28. A whole number that has only one set of factors - itself and 1.
squared
A = (Base x Height) / 2 - A = (BH)/2
prime number
Odd
29. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
inverse operations
quotient
prism
'six cubed'
30. The sum of a group of numbers divided by the number of numbers; also known as the average
1 and itself
always clear the innermost groups first
Percent Change
mean
31. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Odd
equation
complementary angle
The Ratio of Any two of the following: Original - Change and New
32. Change / Original Formula
UnitPrice ($/unit) x Qty.Purchas'd (units)
mixed number
Magnitude at Rest and Magnitude in Motion
Change + - Original = New
33. The numerator is greater than - or equal to - the denominator
The Decimal Numbering System
improper fraction
commutative law of multiplication
Quantity is expressed
34. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Long Division
reduced fraction
Odd
To add integers that have the same sign both positive or both negative:
35. 3 ways to solve an absolute value inequality
exactly the same portion
mean
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
theorem
36. Total Earnings ($) = ?
least common multiple (LCM)
Odd or Non-Int
Even
Wage Rate ($ per hr) x Hrs worked
37. 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
numerator
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
inverse operations
When to use fractions
38. Breaking down a composite number until all of the factors are prime
lowest terms
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
prime factorization
Step 2 of Converting mixed numbers to improper fractions
39. An angle measuing more than 0 degrees and less than 90 degrees
Equal
integer or whole number
radius
acute angle
40. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
Is equal to the original value
cylinder
Percent Change
41. Any whole number can be expressed in terms of the
equal to itself.
before solving
product
Evaluating Powers With Negative Exponents
42. The numerator of the fraction part of the mixed number is the remainder from the
Original + Change = New Change/Original = Percent Change
Even
Axiom VIII.
quotient
43. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
contains only a single number
'six cubed'
Sale Price - Unit Cost
44. Indicates the number of times the base is to be multiplied
A sum of 2 primes is Odd
Step 1 of Converting mixed numbers to improper fractions
exponent
difference
45. A ratio that compares two different types of quantities
Non-Int
rate
Known quantities
exponent
46. Two numbers listed in a specific order; it describes a point on the coordinate graph
One... the number 2
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
ordered pair
straight angle
47. A quadrilateral with two pairs of congruent - parallel sides
Whole Numbers
divisor
parallelogram
both integers are positive or both are negative
48. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
scalene triangle
Odd
rectangle
equal to 1 divided by that number with a positive exponent
49. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When the addends have opposite signs one is + and the other is -
x-coordinate
Original + Change = New Change/Original = Percent Change
divisor
50. Having the same size and shape
ratio
mixed fraction
congruent
Decreases