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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
numerator
quadrilateral
Even
equivalent

2. Having the same size and shape
acute angle
congruent
theorem
2 and/or 5 only

3. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Fractions allow you to plot values between whole numbers and integers.
y-coordinate
Even div. by 4

4. 0.625 --> Fraction ?
5/8
When to use the Heavy Division Shortcut - and how to do it
probability
When numbers do not divide evenly

5. A number that is a multiple of all denominators in a problem.
The rule for adding negative integers is the same as the rule for adding positive integers:
lowest terms
improper fraction
common denominator

6. Taken together - the multiplicand and multiplier are known as
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
factors of the multiplication operation
A = (Diagonal1 x Diagonal2) / 2
To convert any fraction to higher terms

7. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
common denominator
Even
Step 2 of Converting Improper Fractions to Mixed Numbers
prime factors

8. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
change the operation from subtraction to addition
mixed fractions
Reducing fractions
Evaluating Powers With Negative Exponents

9. Can have many different combinations of factors
proper fractions
Step 1 of Converting Improper Fractions to Mixed Numbers
Composite number
Inserting a zero at the right end of a whole number

10. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
sum
1

11. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Axiom VI.
median
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
polygon

12. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
x-axis
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?
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

13. The two kinds of Quantity are
Is equal to the original value
Multitudes and Magnitudes
numerator
When the addends have the same sign both + or both -

14. The four Mathematical arts are:
divisor
circumference
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
Arithmetic - Music - Geometry and Astronomy

15. How many Even primes are there?
Step 1 of Converting mixed numbers to improper fractions
0
One... the number 2
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

16. Switch to a number-picking strategy
octagon
Axiom IX.
Axiom III.
Alternative to the algebraic manipulation method to solving a VIC

17. Every lesser number is contained in a greater more than once.
Axiom VIII.
acute angle
fraction or broken number
x-axis

18. Indicates the number to be multiplied
base
lowest terms
Long Division
Step 1 of Converting Improper Fractions to Mixed Numbers

19. A parallelogram with four right angles
greatest common factor (GCF)
rectangle
prism
fraction or broken number

20. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
quotient
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Decimals/Percents

21. ' x percent' = ?
To convert any fraction to higher terms
x/100
Axiom VIII.
mixed fractions

22. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
Multitude
Axiom V.
least common multiple (LCM)

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

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24. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
hexagon
dividend
radius
Axiom X.

25. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
Step 2 of Converting mixed numbers to improper fractions
Evaluating Powers With Negative Exponents
radius
Odd

26. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
complementary angle
factoring
A = (D1 x D2) / 2

27. The result of muliplying two or more numbers
product
reduced fraction
Even and Odd
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

28. A sign of grouping can be omitted when it
Is zero
contains only a single number
1
The Ratio of Any two of the following: Original - Change and New

29. All whole numbers (both positive and negative) and zero.
integers
prism
parallelogram
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

30. A number with an exponent of 3 is often said to be
Equality
cubed
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
integers

31. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
mode
unit ratio
Subtracting Signed Integers
Converting Improper Fractions to Mixed Numbers

32. Every quantity is equal to itself.
Axiom II.
pyramid
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
x-axis

33. Two angles whose sum equals 90 degrees
To add integers that have opposite signs:
isosceles triangle
complementary angle
Subtracting Signed Integers

34. What is the formula forCounting consecutive multiples?
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?
mixed number
order of operations
( (Last - First) / Increment ) + 1

35. Total Sales or Revenue = ?
Adding negative integers will always produce a negative sum
mode
Axiom III.
Unit Price x Qty. Sold

36. A number that is not a prime number is called a
There are two parts in the procedure for subtracting signed integers:
composite number
mean
The bottom side of the triangle

37. The result of the multiplication is called the
base
Arithmetic - Music - Geometry and Astronomy
product
Percent Decrease Formula

38. Is the opposite of raising fractions to higher terms.
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
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.
unit ratio
Reducing fractions

39. Two numbers are said to be equal (=) when they are at
'five squared'
y-coordinate
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
the same point on the number line

40. A triangle with sides of different lengths and no two angles are the same
putting that number over 1
multiplicand
A = (Base x Height) / 2 - A = (BH)/2
scalene triangle

41. The horizontal number line of a coordinate graph
Unit Price x Qty. Sold
integers
mixed fraction
x-axis

42. A solid figure with two congruent and parallel circular bases
ratio
prism
Even
cylinder

43. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
proportion
Inserting a zero at the right end of a whole number
Adding negative integers will always produce a negative sum
'five squared'

44. The two kinds of parts
Aliquot and Aliquant Parts
Always completed first
Multitudes and Magnitudes
trapezoid

45. Always try to Factor a quadratic equation
before solving
multiplicand
Even and Odd
parallel lines

46. A number is increased by 25%... what must you reduce the new number by to get the old number again?
(Last - First + 1)
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
before solving
the denominator of the original improper fraction

47. Surface space that is measured in square units.
area
Composite number
theorem
commutative law of multiplication

48. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
when there are explicit or implicit equations in the problem:
Step 1 of Converting mixed numbers to improper fractions
commutative law of multiplication
x-coordinate

49. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Axiom IX.
vertex (vertices - plural)
Odd
x/100

50. The numerator is greater than - or equal to - the denominator
improper fraction
composite number
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
improper fractions