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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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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 exact procedure for adding signed integers depends upon
probability
The bottom side of the triangle
Axiom V.
whether the addends have the same sign or opposite signs

2. 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
factors of the multiplication operation
The sum of all the integers from 20 to 100 - inclusive
2
The Ratio of Any two of the following: Original - Change and New

3. What are the rules for picking numbers in VICS?
Even
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
Converting mixed numbers to improper fractions.
improper fractions

4. The distance around a circle (the perimeter of a circle).
mixed fraction
circumference
To add integers that have opposite signs:
Axiom III.

5. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
polygon
Same units
scalene triangle

6. Even X Even = ? ... and is div. by ?
Odd
Even
To add integers that have opposite signs:
Even div. by 4

7. Is equal to zero. 0 x a = 0
( (Last - First) / Increment ) + 1
Sale Price - Unit Cost
Zero multiplied by any value
1 and itself

8. A triangle with two equal sides and two equal angles
proportion
mean
isosceles triangle
quadrilateral

9. Profit = ?
polygon
Revenue ($) - Cost ($)
angle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

10. Adding integers that have opposite signs means
one is positive and the other is negative
cubed
The concept of trading decimal places and how it works
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

11. ' x percent' = ?
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?
x/100
improper fraction
composite number

12. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
y-coordinate
range
Greater
A sum of 2 primes is Odd

13. The two kinds of Quantity are
Quantity
Multitudes and Magnitudes
Is zero
the Complement of that part to the whole

14. Always perform combinations of multiplication and division before
angle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
combination of addition and subtraction
Increases the value.

15. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
Unit Price x Qty. Sold
A = (D1 x D2) / 2
Multitudes and Magnitudes

16. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
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
proper fraction
absolute value
multiplier

17. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
exponent
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
radius
improper fraction

18. 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
expression
right triangle
acute angle
When to use fractions

19. The number being multiplied is called the
multiplicand
y-coordinate
Revenue ($) - Cost ($)
UnitPrice ($/unit) x Qty.Purchas'd (units)

20. Includes an integer as well as a fractional part
percent
To add integers that have opposite signs:
mixed fraction
When to use the Heavy Division Shortcut - and how to do it

21. What is the only Even prime number?
x/100
ratio
2
quadrilateral

22. The greater any number is in comparison to another - the more equal parts will it contain of that other.
ratio
Axiom IX.
denominator
Step 2 of Converting Improper Fractions to Mixed Numbers

23. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
Arithmetic - Music - Geometry and Astronomy
quadrant
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
angle

24. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
Even
reciprocal
octagon

25. A triangle with one right angle
simplify
mode
Number Systems
right triangle

26. The smallest multiple that two or more numbers have in common
2
least common multiple (LCM)
proportion
y-axis

27. For there to be X unique factors of X - what must be true?
improper fraction
octagon
Percent Change
Every integer between 1 and X - inclusive - must be a factor of X

28. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Every integer between 1 and X - inclusive - must be a factor of X
The Decimal Numbering System
Odd
octagon

29. Two angles whose sum equals 90 degrees
Zero (0)
Proof
factors of the multiplication operation
complementary angle

30. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
Converting mixed numbers to improper fractions.
congruent
supplementary angles

31. What is the formula forCounting consecutive multiples?
improper fractions
( (Last - First) / Increment ) + 1
Known (Given) and Unknown (Sought)
y-coordinate

32. A ratio that shows the cost per unit of measure
unit ratio
The rule for adding negative integers is the same as the rule for adding positive integers:
fraction or broken number
A = (Base x Height) / 2 - A = (BH)/2

33. Any number with a negative exponent
When to use the Heavy Division Shortcut - and how to do it
Is equal to the original value
Reducing by the Largest Common Factor (LCF)
equal to 1 divided by that number with a positive exponent

34. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
lowercase letters
scalene triangle
factors of the multiplication operation
Step 1 of Converting mixed numbers to improper fractions

35. A mathematical sentence that uses an equal sign
Parts
equation
rhombus
right triangle

36. To make a fraction easier to work with by taking out common factors
Terminating decimal
simplify
expression
rectangle

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

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38. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Even
Step 2 of Converting mixed numbers to improper fractions
mean
Axiom IX.

39. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Percent Change
How the Last Digit Shortcut works
equation
The Ratio of Any two of the following: Original - Change and New

40. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
polygon
Even and Odd
Magnitude at Rest and Magnitude in Motion
x-axis

41. An evenly-spaced set is fully-defined if what is known...?
mixed fraction
Alternative to the algebraic manipulation method to solving a VIC
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
difference

42. What is the formula for: The Area of a Triangle ?
supplementary angles
Some integer/Some Power of 10
A = (Base x Height) / 2 - A = (BH)/2
factoring

43. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
Some integer/Some Power of 10
similar figures
Wage Rate ($ per hr) x Hrs worked
numerator

44. The result of multiplying two or more numbers.
area
Line Segments
product
Axiom V.

45. Step 1: Find any integer greater than 1 that can be divided evenly into both the numerator and denominator. Step 2: Divide the numerator and denominator by the integer from Step 1. Repeat Steps until the fraction is completely reduced.
Odd
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
Reducing: The Brute-Force Method
Equality

46. An angle that measures 90 degrees
numerator
Change + - Original = New
right angle
when there are explicit or implicit equations in the problem:

47. The whole-number part of the mixed number is the whole-number part of the
When you are absolutely sure the variable or expression <> 0
Odd or Non-Int
acute angle
quotient

48. A statement that needs to be demonstrated and is called in Latin demonstrandum.
x-axis
theorem
2
supplementary angles

49. No integer (except 1) that divides evenly into both the numerator and denominator.
reduced fraction
Original x (1 - x/100) = New
integer or whole number
common factor

50. Part of the population that is studied to find the characteristics of the whole population.
sample
To square an equation to solve it
putting that number over 1
rhombus