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. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Any value multiplied by one
Decimals/Percents
exponent
How the Last Digit Shortcut works

2. What are the rules for picking numbers in VICS?
To add integers that have the same sign (both positive or both negative):
straight angle
Axiom II.
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

3. When the product in the 1's column is greater than 9

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

4. Two angles whose sum equals 90 degrees
complementary angle
To find out - easily - if one fraction is bigger than another
Inserting a zero at the right end of a whole number
median

5. What are the 3 main formulaic properties of evenly-spaced sets?
Original + Change = New Change/Original = Percent Change
quotient
( (Last - First) / Increment ) + 1
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

6. Switch to a number-picking strategy
Change + - Original = New
Alternative to the algebraic manipulation method to solving a VIC
dividend
obtuse angle

7. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
UnitPrice ($/unit) x Qty.Purchas'd (units)
To make sure to solve for Both cases.
One... the number 2

8. Every quantity is equal to itself.
Axiom II.
Revenue ($) - Cost ($)
fraction or broken number
Original x (1 - x/100) = New

9. A ratio that shows the cost per unit of measure
Unit Price x Qty. Sold
2^3 = 8
Percent Decrease Formula
unit ratio

10. 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.
x-axis
product
complementary angles
Different Units

11. The Sum of n consecutive integers is Not divisible by n if n is
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
acute angle
congruent
Even

12. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Reducing fractions
integer or whole number
prism
cross product

13. A polygon that has four sides
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
quadrilateral
prime factorization
putting that number over 1

14. Having the same size and shape
Even
Even div. by 4
Quantity
congruent

15. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
vertex (vertices - plural)
Step 2 of Converting mixed numbers to improper fractions
When to use the Heavy Division Shortcut - and how to do it
similar figures

16. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
x-coordinate
prism
Revenue ($) - Cost ($)
The concept of trading decimal places and how it works

17. Profit = ?
Revenue ($) - Cost ($)
Change + - Original = New
Proof
divisor

18. A number with only two factors: the number itself and one.
Unit Cost + Markup
prime number
Original + Change = New Change/Original = Percent Change
lowercase letters

19. A triangle with sides of different lengths and no two angles are the same
Even
Quantity
scalene triangle
mean

20. By the first letters of the alphabet (a - b - c - d - etc..)
A plus sign (+) is used for two entirely different purposes:
Unit Price x Qty. Sold
congruent
Unknown quantities

21. Includes an integer as well as a fractional part
mixed fraction
circumference
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
range

22. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
change the operation from subtraction to addition
Change + - Original = New
Sale Price - Unit Cost
radius

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

24. Anything that may be increased or diminished
Quantity
right angle
unit ratio
scale drawing

25. A value that combines a whole number and a fractional amount
Aliquant Part
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
mixed number
prime number

26. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Axiom VI.
y-coordinate
octagon

27. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
quotient
integer or whole number
Inserting a zero at the right end of a whole number
Aliquot Part

28. The whole is equal to all of its parts taken together.
equation
Axiom V.
lowercase letters
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

29. The base of a triangle refers to?
The bottom side of the triangle
Increases the value.
Any value multiplied by one
Equal

30. Any value divided by one
mixed number
quotient
Is equal to the original value
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

31. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
A = (Base x Height) / 2 - A = (BH)/2
To add integers that have opposite signs:
Alternative to the algebraic manipulation method to solving a VIC
farther to the left on the number line

32. 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.
reciprocal
order of operations
higher terms
Shift DP 2 places right

33. One of those primes must be the number __ ?
Axiom II.
2 and/or 5 only
A sum of 2 primes is Odd
common factor

34. The horizontal number line of a coordinate graph
roots of numbers
theorem
Axiom III.
x-axis

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

36. An angle measuring more than 90 degrees and less than 180 degrees
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
obtuse angle
trapezoid
cubed

37. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
quotient
x = (+-) a
numerator
Even

38. Odd / Even = ? e.g. 9/6 = 1.5
Inserting a zero at the left end of a whole number
To add integers that have the same sign (both positive or both negative):
Non-Int
they have the same absolute value

39. Is the disagreement of things in Quantity.
Relative multitude
polygon
trapezoid
Inequality

40. 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
proportion
Change + - Original = New
Subtracting Signed Integers
Step 1 of Converting mixed numbers to improper fractions

41. What is the formula forCounting consecutive integers?
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
radius
quotient
(Last - First + 1)

42. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
composite number
Original x (1 - x/100) = New
cubed

43. An eight-sided polygon
Even
Is zero
octagon
Fractions allow you to plot values between whole numbers and integers.

44. The smallest multiple that two or more numbers have in common
always clear the innermost groups first
least common multiple (LCM)
before solving
denominator

45. Area of a Rhombus is?
A = (D1 x D2) / 2
squared
equation
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?

46. An angle measuring more than zero degrees and less than 90 degrees
pentagon
pyramid
acute angle
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. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
1 and itself
Inserting a zero at the right end of a whole number
lowest terms
diameter

48. Odd +/- ____ = Odd
proper fraction
dividend
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
Even

49. An equation stating that two ratios are equal
unit ratio
Percent Change
Multitudes and Magnitudes
proportion

50. If 2 numbers are OPPOSITES of each other
improper fraction
integer values
they have the same absolute value
simplify