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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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. 'y percent less than' = ?
When numbers do not divide evenly
Every integer between 1 and X - inclusive - must be a factor of X
1 - (y/100)
y-coordinate
2. The process of breaking a number down into its factors is called
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
To find out - easily - if one fraction is bigger than another
(Last - First + 1)
factoring
3. 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.
prime factors
When numbers do not divide evenly
mixed fraction
quadrilateral
4. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
To add integers that have the same sign both positive or both negative:
cylinder
improper fraction
Multitude
5. 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
perimeter
Quantity
equilateral triangle
Negative-value integers
6. The distance around a figure.
perimeter
Sale Price - Unit Cost
Arithmetic - Music - Geometry and Astronomy
Subtracting Signed Integers
7. The number being multiplied is called the
Step 2 of Converting Improper Fractions to Mixed Numbers
lowest terms
multiplicand
Change + - Original = New
8. Taken together - the multiplicand and multiplier are known as
factors of the multiplication operation
similar figures
x-coordinate
To add integers that have the same sign both positive or both negative:
9. Is the agreement of things in Quanity.
product
Equality
Every integer between 1 and X - inclusive - must be a factor of X
complementary angle
10. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
farther to the right on the number line.
vertex (vertices - plural)
Change + - Original = New
Step 2 of Converting mixed numbers to improper fractions
11. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
quadrant
the Complement of that part to the whole
product
numerator
12. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Unity - or a Unit
Being divided by a power of 10
Number
The rule for adding negative integers is the same as the rule for adding positive integers:
13. Cross-multiply
mixed number
5/8
To find out - easily - if one fraction is bigger than another
acute angle
14. Where do fractions occur on a number line?
To add integers that have the same sign (both positive or both negative):
polygon
simplify
Fractions allow you to plot values between whole numbers and integers.
15. A quadrilateral with two pairs of congruent - parallel sides.
reciprocal
similar figures
parallelogram
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
16. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
Greater
factor
parallelogram
17. The vertical number line of a coordinate graph
rectangle
mixed number
sample
y-axis
18. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
least common multiple (LCM)
percent
lowercase Variables
One... the number 2
19. To indicate the subtraction operation - to indicate a negative integer value
Reducing: The Brute-Force Method
The sum of all the integers from 20 to 100 - inclusive
Revenue ($) - Cost ($)
A minus sign ( - ) is used for two entirely different purposes:
20. Decreasing the Denominator of a fraction Increases/Decreases the value?
scalene triangle
congruent
pentagon
Increases the value.
21. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Magnitude
Positive-value integers
isosceles triangle
referred to Unity in the same way
22. Operations enclosed in a sign of grouping
improper fraction
To add integers that have opposite signs:
Always completed first
axiom
23. A ratio that compares two different types of quantities
rate
composite number
reflection
lowest terms
24. Sale Price = ?
mode
x/100
A sum of 2 primes is Odd
Unit Cost + Markup
25. When will a decimal terminate and why?
Original + Change = New Change/Original = Percent Change
Sale Price - Unit Cost
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
The sum of all the integers from 20 to 100 - inclusive
26. 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.
least common multiple (LCM)
rate
range
27. A value such as 5^2 can be called
28. An evenly-spaced set is fully-defined if what is known...?
Terminating decimal
multiplicand
The rule for adding negative integers is the same as the rule for adding positive integers:
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
29. Adding integers that have the same sign means
both integers are positive or both are negative
equal to itself.
proper fraction
they have the same absolute value
30. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Axiom V.
A minus sign ( - ) is used for two entirely different purposes:
radius
inverse operations
31. The horizontal number line of a coordinate graph
rate
octagon
x-axis
To find out - easily - if one fraction is bigger than another
32. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
perimeter
mixed fractions
Same units
Percent Change
33. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
sum
The Ratio of Any two of the following: Original - Change and New
Multitudes and Magnitudes
34. 1/2 - 1/3 - 2/3 - -5/8
median
proper fractions
sum
supplementary angles
35. The result of the multiplication is called the
product
2^3 = 8
Composite number
Even or Non-Int
36. When the factors of a number are all prime numbers - the factors are said to be the
To square an equation to solve it
prime factors
mixed number
Is zero
37. The study of quantity
Multitude
Composite number
Even div. by 4
Mathematics
38. A triangle with sides of different lengths and no two angles are the same
The Ratio of Any two of the following: Original - Change and New
Even and Odd
Axiom VIII.
scalene triangle
39. In a division problem - the number that an amount is divided by
When the addends have the same sign both + or both -
area
'six cubed'
divisor
40. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
multiplier
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?
like fractions
Axiom I.
41. By the last letters (u - x - y - etc.)
reciprocal
proportion
change the operation from subtraction to addition
Known quantities
42. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
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
Terminating decimal
reciprocal
x = (+-) a
43. 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
quadrant
Being divided by a power of 10
One... the number 2
squared
44. Even X Even = ? ... and is div. by ?
change the operation from subtraction to addition
Converting Improper Fractions to Mixed Numbers
Even div. by 4
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
45. A unit for measuring area
Unit Price x Qty. Sold
square unit
angle
Arithmetic - Music - Geometry and Astronomy
46. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
Zero multiplied by any value
higher terms
Change + - Original = New
lowest terms
47. Is the opposite of raising fractions to higher terms.
ratio
Unit Price x Qty. Sold
mixed number
Reducing fractions
48. Breaking down a composite number until all of the factors are prime
axiom
Long Division
2^3 = 8
prime factorization
49. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
50. What are the 2 'percent change' equations?
Axiom I.
commutative law of multiplication
Step 2 of Converting Improper Fractions to Mixed Numbers
Original + Change = New Change/Original = Percent Change