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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. In a group of values - the value that occurs most often.
mode
Zero (0)
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
rectangle

2. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Unit Price x Qty. Sold
referred to the same Unit
integer or whole number
Proof

3. Is a term used to express quantity indefinitely and universally - such as 'a certain number' - 'some' etc...
Computation
Species
mode
squared

4. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
percent
Absolute and Relative
scale drawing
Axiom X.

5. The two kinds of Magnitude are
Always completed first
right triangle
Magnitude at Rest and Magnitude in Motion
Axiom III.

6. What is the formula for: The Area of a Triangle ?
Whole
Sale Price - Unit Cost
A = (Base x Height) / 2 - A = (BH)/2
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

7. 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
rhombus
Being divided by a power of 10
proportion
sum

8. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
'six cubed'
area
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
radius

9. An angle measuring more than zero degrees and less than 90 degrees
Change / Original Formula?
acute angle
y-axis
Odd

10. Having the same value
Shift DP 2 places right
equivalent
Sale Price - Unit Cost
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

11. An angle that measures 90 degrees
right angle
Absolute and Relative
vertex (vertices - plural)
2^3 = 8

12. 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
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
To convert any fraction to higher terms
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

13. The study of quantity
Even div. by 4
To square an equation to solve it
Mathematics
obtuse angle

14. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Absolute and Relative
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
factors of the multiplication operation

15. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?

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16. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
Quantity
prime number
Adding negative integers will always produce a negative sum
reciprocal

17. 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
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
When to use the Heavy Division Shortcut - and how to do it
dividend
Proof

18. Unit Profit = ?
Sale Price - Unit Cost
Even
When the addends have opposite signs one is + and the other is -
numerator

19. The smallest multiple that two or more numbers have in common
square root
Alternative to the algebraic manipulation method to solving a VIC
2^3 = 8
least common multiple (LCM)

20. Unit Profit = ?
improper fraction
median
Sale Price - Unit Cost
range

21. 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.
product
When numbers do not divide evenly
equilateral triangle
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.

22. An equation stating that two ratios are equal
proportion
Parts
referred to Unity in the same way
unit ratio

23. 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.
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
How the Last Digit Shortcut works
Zero (0)
Is zero

24. The Only possible factors for a prime number are
mixed number
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
1 and itself
dividing the numerator and denominator by the same number

25. Factors may be multiplied in any order.
commutative law of multiplication
The rule for adding negative integers is the same as the rule for adding positive integers:
Some integer/Some Power of 10
Subtracting Signed Integers

26. .625 --> Percent?
Adding negative integers will always produce a negative sum
parallel lines
62.5%
higher terms

27. Two numbers listed in a specific order; it describes a point on the coordinate graph
ordered pair
integers
circumference
factor

28. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
Whole Numbers
unit ratio
Axiom II.

29. The vertical number line of a coordinate graph
right triangle
factors of the multiplication operation
exponent
y-axis

30. A triangle with one right angle
equation
squared
The Ratio of Any two of the following: Original - Change and New
right triangle

31. 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
x-axis
To add integers that have the same sign (both positive or both negative):
The sum of all the integers from 20 to 100 - inclusive
prime number

32. The figure formed when two rays meet at a common endpoint called a vertex.
Relative multitude
angle
Unit Cost + Markup
Even

33. 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').
Whole Numbers
divisor
When you are absolutely sure the variable or expression <> 0
cross product

34. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Shift DP 2 places right
radius
When the addends have opposite signs one is + and the other is -
Both

35. The denominator of the fraction part of the mixed number is
the denominator of the original improper fraction
base
square unit
quadrant

36. Any value divided by one
Is equal to the original value
Aliquant Part
factors of the multiplication operation
Multitudes and Magnitudes

37. Indicates the number to be multiplied
base
When to use the Heavy Division Shortcut - and how to do it
Even - Odd or Non-Int
always clear the innermost groups first

38. 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.
Axiom VII.
change the operation from subtraction to addition
1

39. Original x (1 - x/100) = New
Axiom VII.
y-coordinate
Percent Decrease Formula
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

40. Two or more fractions that have the same denominator
like fractions
Equal
Greater
straight angle

41. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
To convert any fraction to higher terms
referred to Unity in the same way
Axiom VII.

42. The distance around a figure.
perimeter
polygon
product
improper fractions

43. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
whether the addends have the same sign or opposite signs
proportion
octagon
Multitude

44. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Even div. by 4
Odd or Non-Int
when there are explicit or implicit equations in the problem:
Unit Cost + Markup

45. The ratio of integers that results in a terminating decimal
Always completed first
proportion
Some integer/Some Power of 10
divisor

46. A triangle with two equal sides and two equal angles
contains only a single number
Whole
isosceles triangle
prime number

47. One number is said to be greater than (>) another when it is
farther to the right on the number line.
Long Division
Original x (1 - x/100) = New
Decimals/Percents

48. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
median
vertex (vertices - plural)
Revenue ($) - Cost ($)
denominator

49. A self-evident statement - that is - one that does not need to be demonstrated.
axiom
x/100
farther to the left on the number line
Unknown quantities

50. When will a decimal terminate and why?
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
exponent
both integers are positive or both are negative
To add integers that have opposite signs: