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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. .625 --> Percent?
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.
62.5%
proportion
( (Last - First) / Increment ) + 1

2. A ratio that shows the cost per unit of measure
obtuse angle
Axiom V.
unit ratio
percent

3. A ratio that shows the cost per unit of measure
unit ratio
exponent
Arithmetic - Music - Geometry and Astronomy
0

4. 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.
combination of addition and subtraction
Aliquant Part
lowest terms
Being divided by a power of 10

5. A Polygon is a closed shape formed by
Line Segments
Odd
Species
referred to Unity in the same way

6. The four Mathematical arts are:
change the operation from subtraction to addition
composite number
factors of the multiplication operation
Arithmetic - Music - Geometry and Astronomy

7. A number that is not a prime number is called a
Original x (1 - x/100) = New
composite number
one is positive and the other is negative
median

8. Is the agreement of things in Quanity.
median
Equality
reduced fraction
prime factors

9. Anything that may be increased or diminished
Inserting a zero at the left end of a whole number
Quantity
both integers are positive or both are negative
To add integers that have the same sign both positive or both negative:

10. In a group of values - the value that occurs most often.
before solving
congruent
mode
Shift DP 2 places right

11. All the positive whole numbers
factor
Aliquant Part
integer values
mixed number

12. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
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
scale drawing
circumference
factoring

13. A number with an exponent of 3 is often said to be
simplify
exponent
cubed
1 - (y/100)

14. Cross-multiply
Any value multiplied by one
right triangle
To find out - easily - if one fraction is bigger than another
cubed

15. The whole is more or greater than its part.
Is equal to the original value
Axiom IV.
before solving
cylinder

16. An angle measuring more than zero degrees and less than 90 degrees
acute angle
supplementary angles
simplify
Step 2 of Converting mixed numbers to improper fractions

17. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
farther to the left on the number line
More
multiplier
range

18. 'y percent less than' = ?
improper fraction
product
UnitPrice ($/unit) x Qty.Purchas'd (units)
1 - (y/100)

19. Rules that tell which steps to follow when solving an expression
simplify
order of operations
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
y-axis

20. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
order of operations
diameter
mean
Equal

21. The exact procedure for adding signed integers depends upon
common denominator
whether the addends have the same sign or opposite signs
factoring
'six cubed'

22. Change + - Original = New
lowercase Variables
A plus sign (+) is used for two entirely different purposes:
Change / Original Formula?
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

23. A number is increased by 25%... what must you reduce the new number by to get the old number again?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
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
1 - (y/100)
quadrilateral

24. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
theorem
2^3 = 8
improper fractions

25. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
square root
one is positive and the other is negative
reciprocal

26. A number that is a multiple of all denominators in a problem.
common denominator
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
Even
integers

27. The numerator of the fraction part of the mixed number is the remainder from the
Wage Rate ($ per hr) x Hrs worked
quotient
from left to right
Inequality

28. A unit for measuring area
Percent Decrease Formula
perimeter
'five squared'
square unit

29. Is Always perpendicular (at 90 deg. to) the base!
contains only a single number
y-coordinate
The height of a triangle
divisor

30. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
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
unit ratio
Axiom IV.
Even or Non-Int

31. Operations enclosed in a sign of grouping
simplify
prime factors
Always completed first
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

32. An angle measuring more than 90 degrees and less than 180 degrees
quadrilateral
When to use fractions
obtuse angle
mode

33. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
difference
product
Line Segments

34. A comparison of the two values of two numbers
ratio
prime number
median
polygon

35. The result of muliplying two or more numbers
proportion
product
Inequality
simplify

36. The two kinds of Magnitude are
Quantity is expressed
Magnitude at Rest and Magnitude in Motion
Every integer between 1 and X - inclusive - must be a factor of X
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

37. Basic Number Properties and elementary operations.
octagon
Aliquant Part
product
Number Systems

38. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Odd
always clear the innermost groups first
A = (D1 x D2) / 2
radius

39. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
polygon
Decreases
prism
0

40. Unit Profit = ?
inverse
range
ratio
Sale Price - Unit Cost

41. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
Subtracting Signed Integers
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
scalene triangle
multiplicand

42. A polygon with six sides.
range
product
Axiom V.
hexagon

43. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
(Last - First + 1)
Greater
The rule for adding negative integers is the same as the rule for adding positive integers:
Step 2 of Converting Improper Fractions to Mixed Numbers

44. When will a decimal terminate and why?
1
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
change the operation from subtraction to addition
rectangle

45. Every lesser number is contained in a greater more than once.
Axiom VIII.
Axiom V.
Proof
simplify

46. The amount that remains after one number has been subtracted from another
Aliquot and Aliquant Parts
To convert any fraction to higher terms
difference
prism

47. A self-evident statement - that is - one that does not need to be demonstrated.
range
axiom
improper fraction
When to use fractions

48. An eight-sided polygon
octagon
UnitPrice ($/unit) x Qty.Purchas'd (units)
The Ratio of Any two of the following: Original - Change and New
square unit

49. A triangle with one right angle
Power notation
mode
right triangle
Odd

50. What are the 3 main formulaic properties of evenly-spaced sets?
least common multiple (LCM)
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
Converting mixed numbers to improper fractions.
Shift DP 2 places left

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CLEP General Mathematics: Arithmetic Basics

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