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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. The number to be multiplied by is called the
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Power notation
Proof
multiplier

2. TotalCost($) = ?

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3. A fraction with all common factors (other than 1) factored out of the numerator and denominator
circumference
lowest terms
pi
Even

4. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Unity - or a Unit
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
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.
octagon

5. The sum of a group of numbers divided by the number of numbers; also known as the average
right triangle
mean
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Unit Cost + Markup

6. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
cross product
commutative law of multiplication
When to use the Heavy Division Shortcut - and how to do it

7. The two kinds of Multitude
1 and itself
Arithmetic - Music - Geometry and Astronomy
( (Last - First) / Increment ) + 1
Absolute and Relative

8. When working with nested signs of grouping
Unity - or a Unit
always clear the innermost groups first
To square an equation to solve it
congruent

9. Always perform the operations
perimeter
from left to right
Aliquot and Aliquant Parts
quotient

10. Cross-multiply
To convert any fraction to higher terms
To find out - easily - if one fraction is bigger than another
When numbers do not divide evenly
Alternative to the algebraic manipulation method to solving a VIC

11. A self-evident statement - that is - one that does not need to be demonstrated.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
higher terms
axiom
Multitudes and Magnitudes

12. A number with an exponent of 3 is often said to be
Long Division
Species
Proof
cubed

13. What are the only prime factors that a fraction resulting in a terminating decimals have?
Decimals/Percents
2 and/or 5 only
integer values
To add integers that have opposite signs:

14. 0 to any power is equal to
complementary angles
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
Unknown quantities
0

15. The Only possible factors for a prime number are
A = (Base x Height) / 2 - A = (BH)/2
1 and itself
1
Negative-value integers

16. The action of the mind whereby a quantity is measured by Unity or a Unit.
greatest common factor (GCF)
prime number
Computation
pyramid

17. The study of quantity
Mathematics
Equality
dividing the numerator and denominator by the same number
common factor

18. No integer (except 1) that divides evenly into both the numerator and denominator.
Odd
reduced fraction
right triangle
Parts

19. Is equal to the original value. a x 1 = 1
Long Division
integers
Any value multiplied by one
divisor

20. The numerator is smaller than the denominator
Magnitude
trapezoid
Axiom III.
proper fraction

21. The whole-number part of the mixed number is the whole-number part of the
quotient
Converting mixed numbers to improper fractions.
ratio
mixed number

22. A fraction with a numerator that is larger than or equal to its denominator.
Shift DP 2 places right
Some integer/Some Power of 10
octagon
improper fraction

23. Two angles whose sum equals 90 degrees
when there are explicit or implicit equations in the problem:
radius
complementary angle
2

24. Part of the population that is studied to find the characteristics of the whole population.
Positive-value integers
sample
vertex (vertices - plural)
Multitude

25. Taken together - the multiplicand and multiplier are known as
improper fractions
Whole Numbers
simplify
factors of the multiplication operation

26. The exact procedure for adding signed integers depends upon
Mathematics
vertex (vertices - plural)
whether the addends have the same sign or opposite signs
denominator

27. An angle measuring more than 90 degrees and less than 180 degrees
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
Reducing by the Largest Common Factor (LCF)
cylinder
obtuse angle

28. What is the formula forCounting consecutive multiples?
Known quantities
product
( (Last - First) / Increment ) + 1
like fractions

29. Odd x ? = Even
product
x-axis
Even
Long Division

30. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Odd
Being divided by a power of 10
quotient
Unity - or a Unit

31. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
proper fraction
scale drawing
0
The Decimal Numbering System

32. 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 -
circumference
2 and/or 5 only
2^3 = 8

33. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
A minus sign ( - ) is used for two entirely different purposes:
parallel lines
Even
exponent

34. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Percent Change
x-coordinate
inverse operations
octagon

35. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Long Division
quotient
product

36. Is equal to zero. 0 x a = 0
Zero multiplied by any value
the Complement of that part to the whole
Inequality
right triangle

37. 0.625 --> Fraction ?
common factor
5/8
Shift DP 2 places right
Terminating decimal

38. 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
hexagon
numerator
Positive-value integers
percent

39. A ratio that compares two different types of quantities
mode
To square an equation to solve it
commutative law of multiplication
rate

40. An angle that measures 180 degrees
2
quotient
Axiom VI.
straight angle

41. Always perform combinations of multiplication and division before
combination of addition and subtraction
1
absolute value
(Last - First + 1)

42. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
ratio
x-coordinate
Quantity
angle

43. 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.
How the Last Digit Shortcut works
parallelogram
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?
Axiom X.

44. 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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45. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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46. Odd / Even = ? e.g. 9/6 = 1.5
they have the same absolute value
Different Units
Non-Int
cross product

47. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
perimeter
Original + Change = New Change/Original = Percent Change
hexagon

48. By the last letters (u - x - y - etc.)
Known quantities
multiplicand
Even
Computation

49. Every number is contained in itself once.
prism
right triangle
Axiom VII.
Even

50. A comparison of the two values of two numbers
least common multiple (LCM)
median
A minus sign ( - ) is used for two entirely different purposes:
ratio