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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. .625 --> Percent?
62.5%
mixed fractions
mean
Reducing by the Largest Common Factor (LCF)

2. Is the disagreement of things in Quantity.
When the addends have the same sign both + or both -
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
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
Inequality

3. Change + - Original = New
Even
0.625
Change / Original Formula?
product

4. A number that is not a prime number is called a
divisor
composite number
Some integer/Some Power of 10
base

5. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
Axiom VI.
quotient
greatest common factor (GCF)

6. Unit Profit = ?
Sale Price - Unit Cost
(Last - First + 1)
product
( (Last - First) / Increment ) + 1

7. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
rhombus
Greater
Any value multiplied by one

8. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
equivalent
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Composite number

9. Any value divided by one
Reducing: The Brute-Force Method
Is equal to the original value
right triangle
equal to itself.

10. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Species
Number Systems
When the addends have opposite signs one is + and the other is -
Known (Given) and Unknown (Sought)

11. A triangle with one right angle
Decreases
quotient
right triangle
Known (Given) and Unknown (Sought)

12. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
To add integers that have opposite signs:
Even or Non-Int
Step 1 of Converting mixed numbers to improper fractions
Sum of Interior Angles of a Polygon: (n - 2) x 180

13. Even X Even = ? ... and is div. by ?
When to use fractions
simplify
Even div. by 4
The sum of all the integers from 20 to 100 - inclusive

14. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
To find out - easily - if one fraction is bigger than another
the same point on the number line
denominator

15. Surface space that is measured in square units
Zero (0)
integers
congruent
area

16. The absolute value of the numerator is smaller than the absolute value of the denominator.
isosceles triangle
proper fraction
cross product
complementary angle

17. Surface space that is measured in square units.
There are two parts in the procedure for subtracting signed integers:
area
unit ratio
one is positive and the other is negative

18. Any number with a negative exponent
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
like fractions
equal to 1 divided by that number with a positive exponent
Inequality

19. One of the four regions formed by the intersection of the axes of a coordinate graph
62.5%
quadrant
( (Last - First) / Increment ) + 1
lowest terms

20. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
mode
A plus sign (+) is used for two entirely different purposes:
Inserting a zero at the left end of a whole number
Positive-value integers

21. 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
complementary angle
Parts
Wage Rate ($ per hr) x Hrs worked

22. Every lesser number is contained in a greater more than once.
Axiom VIII.
To add integers that have opposite signs:
divisor
Step 2 of Converting mixed numbers to improper fractions

23. An equation stating that two ratios are equal
Equal
proportion
divisor
Change + - Original = New

24. A mathematical sentence that uses an equal sign
Axiom I.
equation
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
complementary angle

25. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
mixed fractions
Relative multitude
Reducing fractions
exponent

26. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
diameter
equation
supplementary angles
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

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.
Proof
Is zero
probability
Converting mixed numbers to improper fractions.

28. What's the reciprocal of v6 - and why?
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
Magnitude at Rest and Magnitude in Motion
The concept of trading decimal places and how it works
right triangle

29. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
mode
median
change the operation from subtraction to addition
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next

30. The whole-number system uses only ten characters -0 through 9.
angle
UnitPrice ($/unit) x Qty.Purchas'd (units)
ratio
The Decimal Numbering System

31. Decreasing the Denominator of a fraction Increases/Decreases the value?
equal to itself.
Increases the value.
scalene triangle
Shift DP 2 places left

32. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
acute angle
square root
Step 2 of Converting mixed numbers to improper fractions
roots of numbers

33. A polygon with five sides
Is zero
pentagon
x-axis
Magnitude

34. For there to be X unique factors of X - what must be true?
2
Every integer between 1 and X - inclusive - must be a factor of X
Whole Numbers
proper fraction

35. Every number is contained in itself once.
simplify
Axiom VII.
the same point on the number line
hexagon

36. A self-evident statement - that is - one that does not need to be demonstrated.
Whole
ratio
quotient
axiom

37. Two numbers listed in a specific order; it describes a point on the coordinate graph
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.
5/8
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
ordered pair

38. A ratio that shows the cost per unit of measure
before solving
inverse operations
Inequality
unit ratio

39. What is an evenly-spaced set?
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
y-coordinate
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
A = (Base x Height) / 2 - A = (BH)/2

40. 1 to any power is equal to
1
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Different Units
mode

41. A solid figure with two congruent and parallel circular bases
congruent
cylinder
Even
Axiom VII.

42. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
Wage Rate ($ per hr) x Hrs worked
dividend
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.
product

43. The study of quantity
proper fraction
How the Last Digit Shortcut works
Mathematics
equal to 1

44. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
2^3 = 8
they have the same absolute value
Unit Price x Qty. Sold
y-coordinate

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.
greatest common factor (GCF)
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Reducing: The Brute-Force Method
multiplicand

46. The terms Species and Number
polygon
Shift DP 2 places left
To add integers that have opposite signs:
Quantity is expressed

47. Is the opposite of raising fractions to higher terms.
Is zero
Reducing fractions
square unit
A sum of 2 primes is Odd

48. Is equal to zero. 0 x a = 0
mixed number
isosceles triangle
Zero multiplied by any value
factor

49. 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.
Reducing fractions
simplify
The concept of trading decimal places and how it works
Proof

50. When the product in the 1's column is greater than 9

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