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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. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
When numbers do not divide evenly
composite number
Even or Non-Int
trapezoid

2. Method: convert Percent to Decimal?
2^3 = 8
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?
Shift DP 2 places left
Positive-value integers

3. A number with an exponent of 3 is often said to be
cubed
The Ratio of Any two of the following: Original - Change and New
congruent
Change / Original Formula?

4. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
inverse operations
parallel lines
equivalent

5. Is the agreement of things in Quanity.
The bottom side of the triangle
Equality
one is positive and the other is negative
sum

6. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
When to use fractions
Even
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
Revenue ($) - Cost ($)

7. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
acute angle
improper fraction
Whole

8. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
lowercase letters
Zero multiplied by any value
Decimals/Percents
Odd

9. A parallelogram with all sides equal and congruent
contains only a single number
rhombus
Is zero
Even or Non-Int

10. The absolute value of the numerator is smaller than the absolute value of the denominator.
Equal
proper fraction
denominator
divisor

11. Area of a Rhombus is?
Is zero
Odd
A = (D1 x D2) / 2
Known quantities

12. The upper number in a fraction is the
mode
hexagon
numerator
0

13. The ratio of a number to 100 (per one hundred); the symbol %
Carry the 10's digit of the product to the top of the 10's column of factors.
Relative multitude
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
percent

14. In order to understand and use exponents that are fractions or decimals - you must first know about
x = (+-) a
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
roots of numbers
scalene triangle

15. All the positive whole numbers
like fractions
Is equal to the original value
integer values
Increases the value.

16. In a division problem - the number that an amount is divided by
Magnitude at Rest and Magnitude in Motion
Unit Price x Qty. Sold
Is zero
divisor

17. A parallelogram with four right angles
rectangle
improper fractions
Percent Decrease Formula
equal to 1

18. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
prime factors
pentagon
change the operation from subtraction to addition
Known quantities

19. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
from left to right
pi
probability

20. Taken together - the multiplicand and multiplier are known as
hexagon
Even div. by 4
factor
factors of the multiplication operation

21. The number to be multiplied by is called the
A = (D1 x D2) / 2
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
the Complement of that part to the whole
multiplier

22. Cross-multiply
To find out - easily - if one fraction is bigger than another
To add integers that have opposite signs:
Terminating decimal
right triangle

23. Factors may be multiplied in any order.
To convert any fraction to higher terms
commutative law of multiplication
the same point on the number line
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

24. 0.625 --> Fraction ?
5/8
Sale Price - Unit Cost
area
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate

25. Everything may be assumed as unity.
numerator
dividend
Number
Axiom I.

26. Things are Equal in Multitude when they are
referred to Unity in the same way
Multitudes and Magnitudes
like fractions
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

27. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
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
equivalent
More
Converting mixed numbers to improper fractions.

28. The whole-number part of the mixed number is the whole-number part of the
Reducing by the Largest Common Factor (LCF)
factoring
quotient
Even - Odd or Non-Int

29. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Step 1 of Converting mixed numbers to improper fractions
one is positive and the other is negative
Converting Improper Fractions to Mixed Numbers
Step 2 of Converting Improper Fractions to Mixed Numbers

30. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
the same point on the number line
To convert any fraction to higher terms
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?
hexagon

31. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
polygon
Axiom X.
2
straight angle

32. How many Even primes are there?
Converting mixed numbers to improper fractions.
Sale Price - Unit Cost
Axiom III.
One... the number 2

33. The formula for the Area of a Rhombus is?
diameter
contains only a single number
A = (Diagonal1 x Diagonal2) / 2
mixed fractions

34. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
least common multiple (LCM)
Long Division
Odd or Non-Int
before solving

35. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
Even - Odd or Non-Int
Whole
1
Axiom III.

36. A value such as 6^3 can described as

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37. Quantities which are both equal to one and the same third are equal to one another.
2
To make sure to solve for Both cases.
Both
Axiom III.

38. What is the perimeter of a Polygon?
1
greatest common factor (GCF)
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
difference

39. 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
One... the number 2
Change / Original Formula?
( (Last - First) / Increment ) + 1

40. An angle that measures 90 degrees
right angle
putting that number over 1
mixed fractions
median

41. One number is said to be less than (<) another when it is
equal to itself.
parallelogram
Line Segments
farther to the left on the number line

42. Sale Price = ?
UnitPrice ($/unit) x Qty.Purchas'd (units)
supplementary angles
Unit Cost + Markup
Quantity is expressed

43. 1 to any power is equal to
1
( (Last - First) / Increment ) + 1
product
scalene triangle

44. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
diameter
acute angle
mode

45. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
percent
area
improper fraction

46. A comparison of the two values of two numbers
y-coordinate
pyramid
Original + Change = New Change/Original = Percent Change
ratio

47. A sign of grouping can be omitted when it
contains only a single number
parallelogram
right triangle
Revenue ($) - Cost ($)

48. The result of muliplying two or more numbers
Adding negative integers will always produce a negative sum
trapezoid
mixed number
product

49. 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
acute angle
1
prime factorization

50. The distance around a circle (the perimeter of a circle).
Change + - Original = New
circumference
Quantity
cross product