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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. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
Percent Decrease Formula
Arithmetic - Music - Geometry and Astronomy
product

2. A ratio that shows the cost per unit of measure
Percent Change
unit ratio
referred to Unity in the same way
Every integer between 1 and X - inclusive - must be a factor of X

3. Profit = ?
Revenue ($) - Cost ($)
Shift DP 2 places left
octagon
Magnitude at Rest and Magnitude in Motion

4. What is the increment of a set of consecutive integers?
1
Reducing: The Brute-Force Method
When the addends have opposite signs one is + and the other is -
probability

5. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Inserting a zero at the left end of a whole number
1
Odd
lowest terms

6. A quadrilateral with two pairs of congruent - parallel sides.
product
Sale Price - Unit Cost
parallelogram
axiom

7. The base of a triangle refers to?
Both
Species
unit ratio
The bottom side of the triangle

8. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Carry the 10's digit of the product to the top of the 10's column of factors.
Positive-value integers
cylinder
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

9. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
mode
lowest terms
Inserting a zero at the left end of a whole number
The concept of trading decimal places and how it works

10. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
exponent
composite number
Zero multiplied by any value

11. 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.
Long Division
simplify
Different Units
Aliquant Part

12. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
The Decimal Numbering System
radius
Fractions allow you to plot values between whole numbers and integers.
contains only a single number

13. Total Sales or Revenue = ?
reciprocal
Unit Price x Qty. Sold
Percent Change
Power notation

14. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
factor
Same units
Aliquot and Aliquant Parts
straight angle

15. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
higher terms
There are two parts in the procedure for subtracting signed integers:
equation

16. What are the 2 'percent change' equations?
product
Original + Change = New Change/Original = Percent Change
square unit
x-axis

17. An angle that measures 90 degrees
Odd
mixed number
dividing the numerator and denominator by the same number
right angle

18. A value that combines a whole number and a fractional amount
Increases the value.
Axiom I.
octagon
mixed number

19. The ratio of integers that results in a terminating decimal
2
Some integer/Some Power of 10
polygon
fraction or broken number

20. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
higher terms
Original + Change = New Change/Original = Percent Change
theorem
obtuse angle

21. Every lesser number is contained in a greater more than once.
prism
Axiom VIII.
Change + - Original = New
greatest common factor (GCF)

22. No integer (except 1) that divides evenly into both the numerator and denominator.
Always completed first
equal to 1
reduced fraction
Inequality

23. 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
equal to 1 divided by that number with a positive exponent
equal to itself.
perimeter
2^3 = 8

24. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
order of operations
congruent
lowest terms
x-coordinate

25. The largest single factor for two or more numbers.
quadrant
greatest common factor (GCF)
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
lowercase letters

26. 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
inverse
Revenue ($) - Cost ($)
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
A sum of 2 primes is Odd

27. A mirror image of a figure shown over a line of reflection
proper fractions
reflection
roots of numbers
unit ratio

28. 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
the same point on the number line
right triangle
quotient

29. The distance around a circle (the perimeter of a circle).
Change + - Original = New
When to use the Heavy Division Shortcut - and how to do it
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
circumference

30. Every quantity is equal to itself.
Axiom II.
Multitude
Is equal to the original value
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

31. A solid figure with two congruent and parallel circular bases
parallel lines
To make sure to solve for Both cases.
octagon
cylinder

32. A unit for measuring area
Proof
square unit
prism
prime factors

33. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
farther to the right on the number line.
referred to the same Unit
higher terms
More

34. The two kinds of Quantity are
Multitudes and Magnitudes
hexagon
dividend
composite number

35. A solid figure that has triangles for its sides and a polygon as its base
pyramid
both integers are positive or both are negative
inverse operations
A minus sign ( - ) is used for two entirely different purposes:

36. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
composite number
To convert any fraction to higher terms
factor
proportion

37. Method: convert Decimal to Percent?
Shift DP 2 places right
complementary angles
Always completed first
Odd

38. 1 to any power is equal to
greatest common factor (GCF)
y-coordinate
rectangle
1

39. A self-evident statement - that is - one that does not need to be demonstrated.
The sum of all the integers from 20 to 100 - inclusive
62.5%
axiom
mixed fraction

40. Has no sign value
Even
Zero (0)
mode
To find out - easily - if one fraction is bigger than another

41. Always perform the operations
from left to right
the same point on the number line
order of operations
like fractions

42. A number that is a factor of two or more numbers.
quotient
supplementary angles
cylinder
common factor

43. If 2 numbers are OPPOSITES of each other
they have the same absolute value
squared
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Axiom I.

44. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
expression
difference
Magnitude
The rule for adding negative integers is the same as the rule for adding positive integers:

45. The Sum of n consecutive integers is Not divisible by n if n is
prism
inverse
Arithmetic - Music - Geometry and Astronomy
Even

46. Whole is equal in Multitude to a Part of the other.
When numbers do not divide evenly
Equal
Odd
Aliquot and Aliquant Parts

47. Two angles whose sum is 180 degrees
Axiom II.
Same units
supplementary angles
factors of the multiplication operation

48. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
dividend
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
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
'six cubed'

49. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Power notation
To square an equation to solve it
Positive-value integers
range

50. Every number is contained in itself once.
product
quotient
Axiom VII.
percent