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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. 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.
prime factorization
the Complement of that part to the whole
inverse operations
Step 2 of Converting Improper Fractions to Mixed Numbers

2. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
equal to itself.
perimeter
Odd

3. Whole is equal in Multitude to a Part of the other.
common factor
Absolute and Relative
Power notation
Equal

4. When the product in the 1's column is greater than 9

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5. The Sum of n consecutive integers is divisible by n if n is
Odd
one is positive and the other is negative
Carry the 10's digit of the product to the top of the 10's column of factors.
unit ratio

6. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Unit Price x Qty. Sold
absolute value
Odd
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

7. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
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
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?
exactly the same portion
they have the same absolute value

8. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
right angle
Step 1 of Converting Improper Fractions to Mixed Numbers
A minus sign ( - ) is used for two entirely different purposes:
Species

9. One of those primes must be the number __ ?
equal to itself.
A sum of 2 primes is Odd
product
Original x (1 - x/100) = New

10. A quadrilateral with one pair of parallel sides
Axiom II.
trapezoid
Even or Non-Int
Even

11. What is the increment of a set of consecutive integers?
( (Last - First) / Increment ) + 1
1
To add integers that have the same sign (both positive or both negative):
diameter

12. A polygon with six sides.
Odd
hexagon
reduced fraction
A minus sign ( - ) is used for two entirely different purposes:

13. What are the properties of the diagonals of a Rhombus?
'six cubed'
When to use fractions
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
equivalent

14. A whole number that has only one set of factors - itself and 1.
range
prime number
area
Axiom I.

15. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
0.625
radius
Axiom V.
equal to itself.

16. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mean
Magnitude at Rest and Magnitude in Motion
Sum of Interior Angles of a Polygon: (n - 2) x 180
Multitudes and Magnitudes

17. Has no sign value
Both
rectangle
y-coordinate
Zero (0)

18. Any number with an exponent of 0
reflection
reciprocal
both integers are positive or both are negative
equal to 1

19. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
quotient
'five squared'
( (Last - First) / Increment ) + 1

20. A mathematical sentence that uses an equal sign
equal to itself.
equation
ratio
improper fractions

21. Sale Price = ?
fraction or broken number
equation
( (Last - First) / Increment ) + 1
Unit Cost + Markup

22. 5/8 --> Decimal ?
'six cubed'
( (Last - First) / Increment ) + 1
0.625
1

23. 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
y-coordinate
y-axis
probability

24. 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
A sum of 2 primes is Odd
unit ratio
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
When to use fractions

25. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
prime factorization
cross product
quotient
multiplier

26. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
y-coordinate
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.
cylinder
circumference

27. An angle measuing more than 0 degrees and less than 90 degrees
Step 2 of Converting mixed numbers to improper fractions
acute angle
lowercase letters
To square an equation to solve it

28. Species of Quantities are signified by
median
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.
Odd
lowercase letters

29. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Magnitude at Rest and Magnitude in Motion
quadrilateral
mode
Step 1 of Converting mixed numbers to improper fractions

30. Are those things collected in a whole.
Parts
octagon
Positive-value integers
Shift DP 2 places left

31. Factors may be multiplied in any order.
proper fraction
commutative law of multiplication
exponent
divisor

32. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
contains only a single number
fraction or broken number
Quantity is expressed
1 - (y/100)

33. What are the 3 main formulaic properties of evenly-spaced sets?
y-axis
( (Last - First) / Increment ) + 1
Shift DP 2 places right
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

34. A ratio that shows the cost per unit of measure
Equal
( (Last - First) / Increment ) + 1
common factor
unit ratio

35. 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
composite number
2^3 = 8
Even
2 and/or 5 only

36. Every number is contained in itself once.
A plus sign (+) is used for two entirely different purposes:
Absolute and Relative
Revenue ($) - Cost ($)
Axiom VII.

37. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
A minus sign ( - ) is used for two entirely different purposes:
reduced fraction
Percent Decrease Formula
Greater

38. The numerator is smaller than the denominator
numerator
1 - (y/100)
proper fraction
When to use fractions

39. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
Even
There are two parts in the procedure for subtracting signed integers:
Axiom II.

40. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
A plus sign (+) is used for two entirely different purposes:
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Any value multiplied by one
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

41. 3/2 - 8/3 - -16/5 - 7/7
x-axis
( (Last - First) / Increment ) + 1
Unit Cost + Markup
improper fractions

42. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Wage Rate ($ per hr) x Hrs worked
Terminating decimal
ratio
Line Segments

43. When will a decimal Not terminate and why?
proportion
0.625
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Computation

44. The result of multiplying two or more numbers.
product
referred to Unity in the same way
rhombus
simplify

45. An equation stating that two ratios are equal
Number Systems
proportion
quotient
pi

46. Two angles whose sum is 180 degrees
Unit Price x Qty. Sold
Every integer between 1 and X - inclusive - must be a factor of X
diameter
supplementary angles

47. What is the only Even prime number?
difference
2
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
inverse operations

48. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
prime number
perimeter
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Step 1 of Converting Improper Fractions to Mixed Numbers

49. Includes an integer as well as a fractional part
mode
median
x-coordinate
mixed fraction

50. The largest single factor for two or more numbers.
mode
greatest common factor (GCF)
range
the Complement of that part to the whole

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CLEP General Mathematics: Arithmetic Basics

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