Test your basic knowledge |

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. Is equal to the original value. a x 1 = 1
Being divided by a power of 10
Axiom IV.
hexagon
Any value multiplied by one

2. An angle that measures 180 degrees
Axiom IV.
exponent
straight angle
quotient

3. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
squared
congruent
expression

4. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
perimeter
Even
Odd

5. A polygon that has four sides
from left to right
Unity - or a Unit
Odd
quadrilateral

6. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Negative-value integers
mixed fractions
Whole Numbers
Unity - or a Unit

7. The number being divided is called the
common factor
2 and/or 5 only
dividend
referred to the same Unit

8. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Step 1 of Converting Improper Fractions to Mixed Numbers
How the Last Digit Shortcut works
sample
polygon

9. A whole number can be expressed as an improper fraction by
To add integers that have opposite signs:
The Ratio of Any two of the following: Original - Change and New
putting that number over 1
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

10. A solid figure that has triangles for its sides and a polygon as its base
Composite number
pyramid
Step 1 of Converting Improper Fractions to Mixed Numbers
Aliquot Part

11. 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
(Last - First + 1)
cubed
range

12. The vertical number line of a coordinate graph
least common multiple (LCM)
reduced fraction
y-axis
Whole

13. A value that combines a whole number and a fractional amount
greatest common factor (GCF)
mixed number
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Both

14. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
scalene triangle
sample
quotient

15. A known quantity we refer to as One.
Unity - or a Unit
lowercase letters
circumference
2

16. 3/2 - 8/3 - -16/5 - 7/7
2^3 = 8
Parts
improper fractions
Proof

17. 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
fraction or broken number
quadrilateral
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

18. Odd x ? = Even
Negative-value integers
Even
Quantity
mixed number

19. In a group of values - the value that occurs most often
mode
equal to itself.
range
Even

20. Species and Number may be
A minus sign ( - ) is used for two entirely different purposes:
Homogenous or Heterogenous
exponent
The rule for adding negative integers is the same as the rule for adding positive integers:

21. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
angle
one is positive and the other is negative
When the addends have the same sign both + or both -
Unit Price x Qty. Sold

22. Is the disagreement of things in Quantity.
Inequality
referred to Unity in the same way
combination of addition and subtraction
rectangle

23. 1 to any power is equal to
Reducing: The Brute-Force Method
1
The rule for adding negative integers is the same as the rule for adding positive integers:
Inequality

24. Any whole number can be expressed in terms of the
product
Revenue ($) - Cost ($)
fraction or broken number
Sale Price - Unit Cost

25. An equation stating that two ratios are equal
When to use the Heavy Division Shortcut - and how to do it
When numbers do not divide evenly
proportion
exactly the same portion

26. A value such as 5^2 can be called

27. What are the 2 'percent change' equations?
prism
circumference
divisor
Original + Change = New Change/Original = Percent Change

28. Profit = ?
Revenue ($) - Cost ($)
y-axis
enclosing the numbers in a pair of vertical lines | |
common denominator

29. Signs of grouping may be nested
simplify
A minus sign ( - ) is used for two entirely different purposes:
product
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

30. The distance around a figure
perimeter
Line Segments
'five squared'
when there are explicit or implicit equations in the problem:

31. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Carry the 10's digit of the product to the top of the 10's column of factors.
pi
vertex (vertices - plural)
y-coordinate

32. Two numbers are said to be equal (=) when they are at
Percent Decrease Formula
Axiom VII.
A sum of 2 primes is Odd
the same point on the number line

33. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Wage Rate ($ per hr) x Hrs worked
Different Units
mixed fractions
Shift DP 2 places right

34. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
Odd
To square an equation to solve it
commutative law of multiplication
area

35. The number to be multiplied by is called the
ratio
62.5%
product
multiplier

36. Basic Number Properties and elementary operations.
y-axis
diameter
Number Systems
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

37. The amount that remains after one number has been subtracted from another
When the addends have opposite signs one is + and the other is -
from left to right
difference
isosceles triangle

38. Change/Original = New
mean
mean
acute angle
Percent Change

39. The vertical number line of a coordinate graph
Is equal to the original value
Magnitude at Rest and Magnitude in Motion
y-axis
trapezoid

40. A parallelogram with all sides equal and congruent
rhombus
x-axis
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
There are two parts in the procedure for subtracting signed integers:

41. Two angles whose sum equals 90 degrees
Even or Non-Int
complementary angle
like fractions
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu

42. The absolute value of the numerator is smaller than the absolute value of the denominator.
Whole
proper fraction
right triangle
rectangle

43. The two kinds of Quantity are
product
Multitudes and Magnitudes
scalene triangle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

44. 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
Odd
62.5%
Change + - Original = New
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.

45. The figure formed when two rays meet at a common endpoint called a vertex.
The Decimal Numbering System
2
combination of addition and subtraction
angle

46. An angle that measures 90 degrees
'five squared'
62.5%
right angle
quadrilateral

47. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Odd
Axiom VI.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
cross product

48. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
difference
improper fractions
The Decimal Numbering System

49. The numerator is smaller than the denominator
proper fraction
Wage Rate ($ per hr) x Hrs worked
Even
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

50. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
numerator
Even
like fractions