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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. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Always completed first
Odd
product
Original + Change = New Change/Original = Percent Change
2. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
A = (D1 x D2) / 2
factor
simplify
Zero multiplied by any value
3. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
supplementary angles
Axiom VII.
fraction or broken number
Aliquant Part
4. A quadrilateral with two pairs of congruent - parallel sides.
mode
parallelogram
Percent Change
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
5. The formula for the Area of a Rhombus is?
Step 2 of Converting Improper Fractions to Mixed Numbers
A = (Diagonal1 x Diagonal2) / 2
Even - Odd or Non-Int
base
6. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Even and Odd
Parts
Number
contains only a single number
7. When will a decimal terminate and why?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Carry the 10's digit of the product to the top of the 10's column of factors.
Wage Rate ($ per hr) x Hrs worked
composite number
8. A ratio that shows the cost per unit of measure
exponent
unit ratio
Terminating decimal
x/100
9. Has no sign value
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
expression
Zero (0)
1
10. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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11. The largest integer that can be divided evenly into both the numerator and denominator.
fraction or broken number
Reducing by the Largest Common Factor (LCF)
Even
sample
12. The Sum of n consecutive integers is divisible by n if n is
enclosing the numbers in a pair of vertical lines | |
supplementary angles
right triangle
Odd
13. 1 to any power is equal to
1
Axiom VI.
hexagon
square root
14. Unit Profit = ?
Sale Price - Unit Cost
Even and Odd
pi
mixed number
15. .625 --> Percent?
Positive-value integers
Inequality
62.5%
Quantity
16. Is equal to the original value. a x 1 = 1
Non-Int
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
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.
Any value multiplied by one
17. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
complementary angles
mixed number
referred to Unity in the same way
reciprocal
18. 3 ways to solve an absolute value inequality
acute angle
improper fraction
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
When to use the Heavy Division Shortcut - and how to do it
19. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Whole
median
Relative multitude
y-axis
20. A sign of grouping can be omitted when it
enclosing the numbers in a pair of vertical lines | |
rate
Even
contains only a single number
21. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
x-axis
x = (+-) a
Quantity
Odd
22. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
The sum of all the integers from 20 to 100 - inclusive
Decreases
1
theorem
23. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
Converting Improper Fractions to Mixed Numbers
Axiom IX.
How the Last Digit Shortcut works
square root
24. Having the same size and shape
To square an equation to solve it
congruent
Greater
1
25. A parallelogram with four right angles
Sale Price - Unit Cost
Unit Price x Qty. Sold
rectangle
Wage Rate ($ per hr) x Hrs worked
26. A solid figure that has triangles for its sides and a polygon as its base
Absolute and Relative
Axiom V.
Always completed first
pyramid
27. Total Sales or Revenue = ?
To convert any fraction to higher terms
1 - (y/100)
Unit Price x Qty. Sold
x-coordinate
28. 1 to any power is equal to
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
Axiom III.
Axiom VII.
1
29. 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.
vertex (vertices - plural)
Sum of Interior Angles of a Polygon: (n - 2) x 180
Odd
Long Division
30. 3/2 - 8/3 - -16/5 - 7/7
the denominator of the original improper fraction
improper fractions
Axiom VIII.
mixed number
31. Any number with an exponent of 0
equal to 1
Unity - or a Unit
0
commutative law of multiplication
32. Indicates the number to be multiplied
equal to 1 divided by that number with a positive exponent
A plus sign (+) is used for two entirely different purposes:
prime factors
base
33. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
cylinder
isosceles triangle
pi
base
34. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even div. by 4
Even - Odd or Non-Int
median
right angle
35. Species and Number may be
Homogenous or Heterogenous
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
product
1 and itself
36. The absolute value of the numerator is smaller than the absolute value of the denominator.
Mathematics
product
Inserting a zero at the right end of a whole number
proper fraction
37. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
'five squared'
x-coordinate
Carry the 10's digit of the product to the top of the 10's column of factors.
38. 0 to any power is equal to
Fractions allow you to plot values between whole numbers and integers.
mixed fractions
Odd
0
39. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
rate
quotient
Decreases
Terminating decimal
40. Two angles whose sum is 180 degrees
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
supplementary angles
Axiom X.
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
41. When the product in the 1's column is greater than 9
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42. All whole numbers (both positive and negative) and zero.
Every integer between 1 and X - inclusive - must be a factor of X
fraction or broken number
integers
Unity - or a Unit
43. Indicates the number of times the base is to be multiplied
Reducing fractions
exponent
pentagon
isosceles triangle
44. What are the 2 'percent change' equations?
One... the number 2
trapezoid
Original + Change = New Change/Original = Percent Change
More
45. Rules that tell which steps to follow when solving an expression.
62.5%
x/100
A = (D1 x D2) / 2
order of operations
46. Any value divided by one
Axiom VIII.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
equal to 1
Is equal to the original value
47. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
integer values
The sum of all the integers from 20 to 100 - inclusive
obtuse angle
48. The total of two or more numbers being added
x-axis
difference
ratio
sum
49. Odd +/- ____ = Odd
Arithmetic - Music - Geometry and Astronomy
integer or whole number
Even
The rule for adding negative integers is the same as the rule for adding positive integers:
50. The two kinds of Quantity are
Odd
pyramid
Multitudes and Magnitudes
combination of addition and subtraction