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. In a group of values - the value that occurs most often
Fractions allow you to plot values between whole numbers and integers.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom IV.
mode

2. Cross-multiply
Multitudes and Magnitudes
denominator
To find out - easily - if one fraction is bigger than another
Wage Rate ($ per hr) x Hrs worked

3. Every number is contained in itself once.
Composite number
Axiom VII.
rate
When solving combinations of addition - subtraction - multiplication - and division in the same expression:

4. An angle measuing more than 0 degrees and less than 90 degrees
obtuse angle
rhombus
right triangle
acute angle

5. A mathematical sentence that uses an equal sign
equation
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
proper fraction
pentagon

6. Has no sign value
radius
product
Zero (0)
dividend

7. When will a decimal terminate and why?
A = (Diagonal1 x Diagonal2) / 2
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
improper fraction
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

8. The distance around a figure
axiom
Step 1 of Converting Improper Fractions to Mixed Numbers
perimeter
least common multiple (LCM)

9. 3 ways to solve an absolute value inequality
hexagon
'six cubed'
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
theorem

10. 3/2 - 8/3 - -16/5 - 7/7
farther to the left on the number line
Quantity is expressed
parallel lines
improper fractions

11. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
Whole
Inserting a zero at the left end of a whole number
square root

12. Operations enclosed in a sign of grouping
ratio
Odd or Non-Int
Always completed first
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

13. The result of muliplying two or more numbers
Aliquot and Aliquant Parts
x/100
product
improper fractions

14. All the positive whole numbers
change the operation from subtraction to addition
To square an equation to solve it
isosceles triangle
integer values

15. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Unit Price x Qty. Sold
Any value multiplied by one
Evaluating Powers With Negative Exponents
reduced fraction

16. The denominator of the fraction part of the mixed number is
Computation
Step 2 of Converting Improper Fractions to Mixed Numbers
2
the denominator of the original improper fraction

17. The sum of a group of numbers divided by the number of numbers; also known as the average
polygon
( (Last - First) / Increment ) + 1
mean
'six cubed'

18. The number doing the dividing is called the
Magnitude
divisor
inverse operations
equal to 1

19. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
hexagon
Percent Decrease Formula
x = (+-) a
Long Division

20. Two or more fractions that have the same denominator
Proof
like fractions
integer or whole number
Computation

21. The largest single factor for two or more numbers.
quadrilateral
Known quantities
square unit
greatest common factor (GCF)

22. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
product
x-coordinate
To add integers that have the same sign both positive or both negative:
mean

23. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Aliquant Part
When to use the Heavy Division Shortcut - and how to do it
Species
Decimals/Percents

24. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
hexagon
polygon
divisor

25. Is equal to the original value. a x 1 = 1
Mathematics
Step 1 of Converting Improper Fractions to Mixed Numbers
x-coordinate
Any value multiplied by one

26. The exact procedure for adding signed integers depends upon
Change / Original Formula?
Even - Odd or Non-Int
UnitPrice ($/unit) x Qty.Purchas'd (units)
whether the addends have the same sign or opposite signs

27. What is the increment of a set of consecutive integers?
Odd
1
one is positive and the other is negative
Quantity is expressed

28. The numerator is greater than - or equal to - the denominator
quadrilateral
improper fraction
Odd
reflection

29. What is the only Even prime number?
When you are absolutely sure the variable or expression <> 0
Aliquant Part
2
putting that number over 1

30. Odd / Even = ? e.g. 9/6 = 1.5
exponent
Percent Change
Inserting a zero at the right end of a whole number
Non-Int

31. 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.
change the operation from subtraction to addition
Same units
parallelogram
Mathematics

32. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
How the Last Digit Shortcut works
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
supplementary angles
polygon

33. The amount that remains after one number has been subtracted from another
difference
greatest common factor (GCF)
Axiom I.
Change + - Original = New

34. Percent Decrease Formula ?
Relative multitude
median
common factor
Original x (1 - x/100) = New

35. Things are Equal in Multitude when they are
referred to Unity in the same way
integers
ratio
Axiom VII.

36. One of those primes must be the number __ ?
Computation
Equal
A sum of 2 primes is Odd
rate

37. A number that tells how many times the base is multiplied by itself
When to use the Heavy Division Shortcut - and how to do it
y-coordinate
exponent
factor

38. A known quantity we refer to as One.
Even
Unity - or a Unit
The rule for adding negative integers is the same as the rule for adding positive integers:
improper fraction

39. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
prism
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
Some integer/Some Power of 10

40. A polygon that has four sides.
Both
quadrilateral
referred to the same Unit
Shift DP 2 places right

41. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Magnitude at Rest and Magnitude in Motion
Any value multiplied by one
Odd
Wage Rate ($ per hr) x Hrs worked

42. An equation stating that two ratios are equal
improper fraction
prism
proportion
ordered pair

43. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Even
The bottom side of the triangle
probability

44. 'y percent less than' = ?
Step 2 of Converting mixed numbers to improper fractions
Quantity
1 - (y/100)
mode

45. Rules that tell which steps to follow when solving an expression.
Power notation
order of operations
Inserting a zero at the left end of a whole number
product

46. When the factors of a number are all prime numbers - the factors are said to be the
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Homogenous or Heterogenous
Equal
prime factors

47. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Power notation
UnitPrice ($/unit) x Qty.Purchas'd (units)
lowest terms
factor

48. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Axiom III.
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
ratio
integer or whole number

49. The sum of a group of numbers divided by the number of numbers. Also known as the average.
percent
mean
Proof
To make sure to solve for Both cases.

50. 1 to any power is equal to
Is equal to the original value
higher terms
1
simplify