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CLEP General Mathematics: Arithmetic Basics

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. Indicates the number of times the base is to be multiplied
proper fraction
0.625
Multitudes and Magnitudes
exponent

2. Is Always perpendicular (at 90 deg. to) the base!
0.625
The height of a triangle
numerator
integers

3. An equation stating that two ratios are equal
x-coordinate
proportion
x/100
Shift DP 2 places left

4. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Quantity
One... the number 2
Even and Odd
cross product

5. Adding integers that have opposite signs means
one is positive and the other is negative
Even
Zero (0)
parallelogram

6. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Aliquant Part
Even
Original x (1 - x/100) = New
Converting Improper Fractions to Mixed Numbers

7. By the first letters of the alphabet (a - b - c - d - etc..)
Known (Given) and Unknown (Sought)
factors of the multiplication operation
Unknown quantities
Inequality

8. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
Even div. by 4
sample
Aliquot and Aliquant Parts

9. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
x-coordinate
axiom
equal to 1 divided by that number with a positive exponent
Even

10. The difference between the least and greatest values in a set of numbers
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?
polygon
range
Carry the 10's digit of the product to the top of the 10's column of factors.

11. Decreasing the Denominator of a fraction Increases/Decreases the value?
perimeter
Adding negative integers will always produce a negative sum
higher terms
Increases the value.

12. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
percent
farther to the left on the number line
radius

13. A collection of things taken as a Unity. A bushel of wheat is a whole.
Converting Improper Fractions to Mixed Numbers
Whole
Increases the value.
equal to 1

14. The ratio of a number to 100 (per one hundred); the symbol %
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.
Magnitude at Rest and Magnitude in Motion
percent
least common multiple (LCM)

15. A fraction with a numerator that is larger than or equal to its denominator.
improper fraction
percent
Even or Non-Int
perimeter

16. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Line Segments
equivalent
When the addends have opposite signs one is + and the other is -
Some integer/Some Power of 10

17. Profit = ?
right triangle
Revenue ($) - Cost ($)
change the operation from subtraction to addition
The Ratio of Any two of the following: Original - Change and New

18. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
circumference
integer or whole number
Zero (0)

19. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
area
scale drawing
Terminating decimal
reflection

20. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
product
product
base

21. 5/8 --> Decimal ?
obtuse angle
simplify
mixed number
0.625

22. 0.625 --> Fraction ?
quotient
5/8
proper fraction
Greater

23. A self-evident statement - that is - one that does not need to be demonstrated.
A = (D1 x D2) / 2
axiom
Unit Price x Qty. Sold
Known (Given) and Unknown (Sought)

24. The two kinds of Quantity are
There are two parts in the procedure for subtracting signed integers:
Even and Odd
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
Multitudes and Magnitudes

25. An eight-sided polygon
Subtracting Signed Integers
Non-Int
octagon
ratio

26. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Zero (0)
multiplier
Power notation
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

27. A parallelogram with four right angles
rectangle
polygon
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
prism

28. 1 to any power is equal to
higher terms
Wage Rate ($ per hr) x Hrs worked
Sum of Interior Angles of a Polygon: (n - 2) x 180
1

29. In a group of values - the value that occurs most often.
mode
Odd
Sale Price - Unit Cost
Aliquot and Aliquant Parts

30. Rules that tell which steps to follow when solving an expression.
The height of a triangle
perimeter
( (Last - First) / Increment ) + 1
order of operations

31. A comparison of the two values of two numbers
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
ratio
rectangle
Odd

32. What are the rules for picking numbers in VICS?
The bottom side of the triangle
Absolute and Relative
percent
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

33. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
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
To add integers that have opposite signs:
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

34. Any value divided by one
Is equal to the original value
reduced fraction
Step 2 of Converting Improper Fractions to Mixed Numbers
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

35. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Number Systems
y-coordinate
octagon
farther to the right on the number line.

36. Percent Decrease Formula ?
Original x (1 - x/100) = New
lowest terms
proper fractions
common factor

37. Method: convert Percent to Decimal?
Axiom VIII.
Shift DP 2 places left
Unknown quantities
difference

38. 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.
prism
the Complement of that part to the whole
base
Odd

39. 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.
2^3 = 8
rate
How the Last Digit Shortcut works
unit ratio

40. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
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.
0.625
To make sure to solve for Both cases.
Reducing fractions

41. Two or more fractions that have the same denominator
lowercase letters
Multitude
Axiom V.
like fractions

42. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Axiom X.
Revenue ($) - Cost ($)
Unknown quantities
improper fractions

43. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
pi
quotient
To add integers that have opposite signs:
like fractions

44. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Even
Axiom VI.
Decimals/Percents
lowercase Variables

45. What is the formula forCounting consecutive multiples?
Axiom IV.
A = (D1 x D2) / 2
fraction or broken number
( (Last - First) / Increment ) + 1

46. A mirror image of a figure shown over a line of reflection
Axiom VII.
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
reflection
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

47. Any whole number can be expressed in terms of the
product
composite number
mixed fraction
1 - (y/100)

48. An angle measuing more than 0 degrees and less than 90 degrees
divisor
Evaluating Powers With Negative Exponents
'six cubed'
acute angle

49. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Multitudes and Magnitudes
Change + - Original = New
Positive-value integers
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

50. A ratio that compares two different types of quantities
rate
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
To make sure to solve for Both cases.
Whole Numbers