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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. 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
Number Systems
Wage Rate ($ per hr) x Hrs worked
Shift DP 2 places left
When to use the Heavy Division Shortcut - and how to do it

2. No integer (except 1) that divides evenly into both the numerator and denominator.
Equal
(Last - First + 1)
reduced fraction
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

3. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Zero multiplied by any value
Step 1 of Converting mixed numbers to improper fractions
theorem
Same units

4. The numerator of the fraction part of the mixed number is the remainder from the
complementary angles
trapezoid
numerator
quotient

5. Adding integers that have the same sign means
equal to itself.
least common multiple (LCM)
scalene triangle
both integers are positive or both are negative

6. A ratio that shows the cost per unit of measure
x-axis
unit ratio
Even
To make sure to solve for Both cases.

7. A triangle with one right angle
To convert any fraction to higher terms
right triangle
equivalent
they have the same absolute value

8. A collection of things taken as a Unity. A bushel of wheat is a whole.
Whole
Axiom VI.
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
percent

9. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
circumference
y-axis
Evaluating Powers With Negative Exponents
they have the same absolute value

10. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
simplify
A = (Base x Height) / 2 - A = (BH)/2
Percent Decrease Formula

11. Breaking down a composite number until all of the factors are prime
Aliquant Part
prime factorization
0.625
Axiom IX.

12. An eight-sided polygon
There are two parts in the procedure for subtracting signed integers:
octagon
diameter
improper fraction

13. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Is zero
polygon
integer values
5/8

14. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
quotient
composite number
x-coordinate

15. The process of breaking a number down into its factors is called
factoring
farther to the right on the number line.
Even and Odd
pi

16. A combination of numbers and variables connected by one or more operations signs
mode
sample
expression
farther to the left on the number line

17. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Alternative to the algebraic manipulation method to solving a VIC
x/100
factors of the multiplication operation

18. A triangle that has three equal sides and three equal angles
proper fractions
Mathematics
Step 1 of Converting Improper Fractions to Mixed Numbers
equilateral triangle

19. An eight-sided polygon
equal to itself.
reflection
octagon
Axiom I.

20. Total Sales or Revenue = ?
sample
diameter
x-coordinate
Unit Price x Qty. Sold

21. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
axiom
Relative multitude
median
'six cubed'

22. The number to be multiplied by is called the
Evaluating Powers With Negative Exponents
multiplier
isosceles triangle
Revenue ($) - Cost ($)

23. Always perform the operations
from left to right
0.625
similar figures
factoring

24. When are you allowed to divide by a variable - (or Any expression) ?
simplify
axiom
When you are absolutely sure the variable or expression <> 0
Even

25. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Percent Decrease Formula
Negative-value integers
To add integers that have opposite signs:
like fractions

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

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27. What is the only Even prime number?
2
Multitudes and Magnitudes
numerator
Aliquant Part

28. The ratio of a number to 100 (per one hundred). The symbol %
percent
Always completed first
Aliquot and Aliquant Parts
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

29. The amount that remains after one number has been subtracted from another
roots of numbers
x-coordinate
difference
y-coordinate

30. 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
prime factorization
Inequality
Even div. by 4
Step 2 of Converting Improper Fractions to Mixed Numbers

31. The exact procedure for adding signed integers depends upon
A = (D1 x D2) / 2
Percent Decrease Formula
product
whether the addends have the same sign or opposite signs

32. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
mean
roots of numbers
The Ratio of Any two of the following: Original - Change and New

33. 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
cross product
'five squared'
obtuse angle

34. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Greater
When to use the Heavy Division Shortcut - and how to do it
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
lowest terms

35. The Sum of n consecutive integers is divisible by n if n is
Converting mixed numbers to improper fractions.
Positive-value integers
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Odd

36. Basic Number Properties and elementary operations.
Odd
scalene triangle
Number Systems
Power notation

37. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
composite number
lowest terms
Step 1 of Converting Improper Fractions to Mixed Numbers
x-coordinate

38. A number that is a factor of two or more numbers.
common factor
percent
probability
numerator

39. The number doing the dividing is called the
Inserting a zero at the left end of a whole number
Even
divisor
Axiom I.

40. A number with an exponent of 2 is often said to be
squared
equal to 1 divided by that number with a positive exponent
Different Units
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

41. When working with nested signs of grouping
improper fraction
always clear the innermost groups first
trapezoid
diameter

42. Is ZERO positive or negative - both - or none?
common denominator
Equal
trapezoid
Both

43. The Only possible factors for a prime number are
perimeter
before solving
pyramid
1 and itself

44. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
when there are explicit or implicit equations in the problem:
y-coordinate
Greater
perimeter

45. A value such as 5^2 can be called

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46. Profit = ?
Odd
simplify
like fractions
Revenue ($) - Cost ($)

47. The whole is equal to all of its parts taken together.
Axiom V.
product
sum
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

48. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
unit ratio
numerator
Power notation

49. In a group of values - the value that occurs most often.
integers
mode
range
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

50. Any number with a negative exponent
Negative-value integers
Any value multiplied by one
equal to 1 divided by that number with a positive exponent
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.