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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 point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
vertex (vertices - plural)
Axiom IX.
1 and itself
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

2. 'y percent less than' = ?
right triangle
Axiom VIII.
1 - (y/100)
Positive-value integers

3. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
Even
The sum of all the integers from 20 to 100 - inclusive
integers
Even

4. The distance around a circle (the perimeter of a circle)
area
scalene triangle
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.
circumference

5. Total Sales or Revenue = ?
area
Unit Price x Qty. Sold
change the operation from subtraction to addition
quadrilateral

6. The Sum of n consecutive integers is Not divisible by n if n is
Even
dividend
factor
Aliquant Part

7. The result of muliplying two or more numbers
factoring
product
Odd
percent

8. Reducing fractions is
dividing the numerator and denominator by the same number
simplify
reflection
To find out - easily - if one fraction is bigger than another

9. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Long Division
mixed fraction
To find out - easily - if one fraction is bigger than another

10. Having the same value
Axiom V.
equivalent
percent
prime number

11. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
Unit Cost + Markup
parallelogram
y-coordinate

12. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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13. Any number with an exponent of 1
equal to 1 divided by that number with a positive exponent
square unit
octagon
equal to itself.

14. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
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
order of operations
Axiom II.
Shift DP 2 places right

15. To indicate the subtraction operation - to indicate a negative integer value
A minus sign ( - ) is used for two entirely different purposes:
quadrilateral
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
perimeter

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

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17. An equation stating that two ratios are equal
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
proportion
obtuse angle
Fractions allow you to plot values between whole numbers and integers.

18. When working with nested signs of grouping
When the addends have opposite signs one is + and the other is -
always clear the innermost groups first
Negative-value integers
Non-Int

19. Breaking down a composite number until all of the factors are prime
Increases the value.
prime factorization
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
How the Last Digit Shortcut works

20. A polygon that has four sides.
cylinder
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
quadrilateral
integer values

21. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
When to use fractions
prism
Positive-value integers
mode

22. 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 intege
There are two parts in the procedure for subtracting signed integers:
rectangle
straight angle
mixed fraction

23. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
Always completed first
radius
percent
scalene triangle

24. If the answer is not precise enough - Use the Heavy Division Shortcut when you need an approximate answer to a division problem using decimals that looks complex. Get a Single digit to the left of the decimal in the denominator. Do this by moving th
Mathematics
When to use the Heavy Division Shortcut - and how to do it
Fractions allow you to plot values between whole numbers and integers.
acute angle

25. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
circumference
Parts
unit ratio
Even and Odd

26. Two angles whose sum is 180 degrees
supplementary angles
A = (D1 x D2) / 2
Different Units
circumference

27. The whole-number part of the mixed number is the whole-number part of the
quotient
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
referred to Unity in the same way
Change / Original Formula?

28. The distance around a figure.
perimeter
they have the same absolute value
Reducing fractions
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

29. The whole is equal to all of its parts taken together.
Axiom V.
radius
When the addends have opposite signs one is + and the other is -
ratio

30. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
y-axis
median
perimeter
Parts

31. What are the properties of the diagonals of a Rhombus?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
When the addends have opposite signs one is + and the other is -
Even - Odd or Non-Int
2

32. How many Even primes are there?
x-axis
unit ratio
product
One... the number 2

33. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
mean
Greater
acute angle
scale drawing

34. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
A = (Base x Height) / 2 - A = (BH)/2
prime number
2
equal to 1

35. The number being multiplied is called the
proportion
multiplicand
divisor
range

36. .625 --> Percent?
lowercase letters
62.5%
scale drawing
factors of the multiplication operation

37. A number that is a factor of two or more numbers.
common factor
Inequality
ordered pair
prism

38. The figure formed when two rays meet at a common endpoint called a vertex.
angle
Percent Change
Always completed first
Step 1 of Converting mixed numbers to improper fractions

39. Change/Original = New
Percent Change
Some integer/Some Power of 10
Percent Decrease Formula
When you are absolutely sure the variable or expression <> 0

40. A number with an exponent of 3 is often said to be
prime number
supplementary angles
contains only a single number
cubed

41. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
percent
the denominator of the original improper fraction
Axiom X.
Converting Improper Fractions to Mixed Numbers

42. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
Step 2 of Converting Improper Fractions to Mixed Numbers
prime number
rectangle

43. The result of dividing one number by another; the solution to a division problem
quadrilateral
quotient
higher terms
roots of numbers

44. Indicates the number of times the base is to be multiplied
exponent
quotient
Original + Change = New Change/Original = Percent Change
Decimals/Percents

45. A number that is a multiple of all denominators in a problem.
proportion
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
2^3 = 8
common denominator

46. The two kinds of Multitude
Absolute and Relative
median
numerator
area

47. Adding integers that have opposite signs means
one is positive and the other is negative
prime factors
How the Last Digit Shortcut works
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

48. 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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49. The sum of a group of numbers divided by the number of numbers; also known as the average
Proof
angle
both integers are positive or both are negative
mean

50. Is the disagreement of things in Quantity.
improper fraction
absolute value
Sale Price - Unit Cost
Inequality