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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 nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Magnitude at Rest and Magnitude in Motion
Axiom X.
unit ratio
mixed number

2. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
Whole Numbers
denominator
Parts
Unknown quantities

3. 0 to any power is equal to
2
0
isosceles triangle
A minus sign ( - ) is used for two entirely different purposes:

4. The two kinds of parts
Even
Zero multiplied by any value
Aliquot and Aliquant Parts
x-axis

5. The distance around a circle (the perimeter of a circle)
isosceles triangle
circumference
common denominator
area

6. Species and Number may be
Homogenous or Heterogenous
Inserting a zero at the right end of a whole number
cylinder
they have the same absolute value

7. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
Even
UnitPrice ($/unit) x Qty.Purchas'd (units)
The concept of trading decimal places and how it works
Step 1 of Converting Improper Fractions to Mixed Numbers

8. A polygon that has four sides
Number
quadrilateral
Mathematics
Negative-value integers

9. Is the disagreement of things in Quantity.
acute angle
Every integer between 1 and X - inclusive - must be a factor of X
Inequality
congruent

10. The distance around a circle (the perimeter of a circle).
circumference
reduced fraction
Aliquot Part
Negative-value integers

11. A triangle with sides of different lengths and no two angles are the same
Even or Non-Int
Same units
equivalent
scalene triangle

12. Two numbers are said to be equal (=) when they are at
the same point on the number line
Equal
right angle
area

13. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
The sum of all the integers from 20 to 100 - inclusive
Magnitude at Rest and Magnitude in Motion
'six cubed'

14. 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.
proper fractions
Odd or Non-Int
x-axis
How the Last Digit Shortcut works

15. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
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
Even
mode
Step 1 of Converting Improper Fractions to Mixed Numbers

16. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
prime number
Every integer between 1 and X - inclusive - must be a factor of X
More
referred to the same Unit

17. Method: convert Decimal to Percent?
A plus sign (+) is used for two entirely different purposes:
Shift DP 2 places right
(Last - First + 1)
straight angle

18. Is the agreement of things in Quanity.
Same units
Equality
prime factorization
Number

19. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
dividend
fraction or broken number
Magnitude
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

20. Total Sales or Revenue = ?
rectangle
More
Unit Price x Qty. Sold
congruent

21. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
they have the same absolute value
Converting Improper Fractions to Mixed Numbers
y-coordinate
quadrilateral

22. An eight-sided polygon
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
octagon
reciprocal
cylinder

23. A whole number that has only one set of factors - itself and 1.
product
When numbers do not divide evenly
divisor
prime number

24. When will a decimal terminate and why?
When the addends have the same sign both + or both -
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
multiplicand
octagon

25. Two angles whose sum is 180 degrees
supplementary angles
Increases the value.
Any value multiplied by one
2^3 = 8

26. One number is said to be less than (<) another when it is
farther to the left on the number line
ratio
Shift DP 2 places left
integer or whole number

27. Signs of grouping may be nested
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom IX.
'six cubed'
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

28. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
reduced fraction
UnitPrice ($/unit) x Qty.Purchas'd (units)
Absolute and Relative

29. A triangle that has three equal sides and three equal angles
before solving
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
equilateral triangle
range

30. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
unit ratio
Unit Price x Qty. Sold
equal to 1 divided by that number with a positive exponent

31. Indicates the number of times the base is to be multiplied
dividing the numerator and denominator by the same number
exponent
Whole
fraction or broken number

32. Lines in the same plane that do not intersect. The symbol //
change the operation from subtraction to addition
parallel lines
perimeter
0.625

33. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Being divided by a power of 10
Zero multiplied by any value
1
cubed

34. An angle that measures 90 degrees
right angle
'five squared'
To add integers that have the same sign both positive or both negative:
Reducing fractions

35. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
isosceles triangle
mixed number
(Last - First + 1)

36. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
Carry the 10's digit of the product to the top of the 10's column of factors.
Even - Odd or Non-Int
median

37. Two angles whose sum equals 90 degrees
Original x (1 - x/100) = New
from left to right
proper fractions
complementary angle

38. 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
The sum of all the integers from 20 to 100 - inclusive
integer or whole number
To add integers that have the same sign both positive or both negative:
exponent

39. In a group of values - the value that occurs most often
mode
Reducing: The Brute-Force Method
reduced fraction
they have the same absolute value

40. The denominator of the fraction part of the mixed number is
higher terms
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
scale drawing
the denominator of the original improper fraction

41. Having the same size and shape
diameter
A plus sign (+) is used for two entirely different purposes:
congruent
Original x (1 - x/100) = New

42. Species of Quantities are signified by
Whole
mixed fractions
lowercase letters
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

43. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
product
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Even and Odd
x-coordinate

44. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
rate
When the addends have the same sign both + or both -
y-axis
There are two parts in the procedure for subtracting signed integers:

45. When are you allowed to divide by a variable - (or Any expression) ?
When you are absolutely sure the variable or expression <> 0
obtuse angle
Even
Original + Change = New Change/Original = Percent Change

46. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
Evaluating Powers With Negative Exponents
Odd
exactly the same portion

47. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Odd
Odd
Species
Aliquant Part

48. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
order of operations
Whole Numbers
( (Last - First) / Increment ) + 1
dividend

49. A parallelogram with four right angles
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
Axiom VI.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
rectangle

50. A value that combines a whole number and a fractional amount
obtuse angle
Known (Given) and Unknown (Sought)
mixed number
Number Systems