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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. A parallelogram with four right angles
A = (D1 x D2) / 2
isosceles triangle
Number Systems
rectangle
2. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
similar figures
prime number
congruent
To add integers that have opposite signs:
3. Surface space that is measured in square units
acute angle
proper fraction
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
area
4. 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
Negative-value integers
2^3 = 8
Even or Non-Int
mixed number
5. All the positive whole numbers
1
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?
straight angle
integer values
6. Is equal to the original value. a x 1 = 1
improper fractions
quadrant
Any value multiplied by one
Step 2 of Converting mixed numbers to improper fractions
7. Always perform combinations of multiplication and division before
combination of addition and subtraction
0.625
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
0
8. 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
factor
quotient
Positive-value integers
area
9. The absolute value of numbers is indicated by
exponent
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
quadrilateral
enclosing the numbers in a pair of vertical lines | |
10. One number is said to be less than (<) another when it is
denominator
quadrilateral
farther to the left on the number line
order of operations
11. The numerator of the fraction part of the mixed number is the remainder from the
Quantity is expressed
median
Even or Non-Int
quotient
12. The amount that remains after one number has been subtracted from another
difference
Any value multiplied by one
hexagon
circumference
13. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
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?
probability
14. A whole number can be expressed as an improper fraction by
putting that number over 1
Odd
Mathematics
Step 1 of Converting Improper Fractions to Mixed Numbers
15. To indicate the addition operation- to indicate a positive integer value
Change + - Original = New
mode
rectangle
A plus sign (+) is used for two entirely different purposes:
16. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
straight angle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
multiplier
17. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
improper fraction
Magnitude
Multitude
right triangle
18. What is the only Even prime number?
denominator
Odd
2
equivalent
19. A solid figure with two congruent and parallel circular bases
percent
cylinder
axiom
ratio
20. A whole number that has only one set of factors - itself and 1.
Increases the value.
Evaluating Powers With Negative Exponents
prime number
common denominator
21. The horizontal number line of a coordinate graph
perimeter
Magnitude
octagon
x-axis
22. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
To add integers that have opposite signs:
When to use the Heavy Division Shortcut - and how to do it
Zero multiplied by any value
23. Is Always perpendicular (at 90 deg. to) the base!
Unknown quantities
The height of a triangle
whether the addends have the same sign or opposite signs
equal to 1
24. Is the disagreement of things in Quantity.
lowest terms
Inequality
quotient
before solving
25. Any whole number can be expressed in terms of the
product
percent
Revenue ($) - Cost ($)
angle
26. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
sample
Magnitude
product
acute angle
27. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign (both positive or both negative):
Step 2 of Converting mixed numbers to improper fractions
lowercase letters
Axiom II.
28. The distance around a circle (the perimeter of a circle).
equal to itself.
2 and/or 5 only
quadrilateral
circumference
29. An eight-sided polygon
equilateral triangle
octagon
congruent
( (Last - First) / Increment ) + 1
30. Whole is equal in Multitude to a Part of the other.
x-axis
To add integers that have the same sign both positive or both negative:
equal to 1
Equal
31. Total Earnings ($) = ?
theorem
The sum of all the integers from 20 to 100 - inclusive
Wage Rate ($ per hr) x Hrs worked
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
32. The base of a triangle refers to?
Evaluating Powers With Negative Exponents
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
squared
The bottom side of the triangle
33. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
the same point on the number line
axiom
Sum of Interior Angles of a Polygon: (n - 2) x 180
Long Division
34. What are the 3 main formulaic properties of evenly-spaced sets?
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
One... the number 2
Every integer between 1 and X - inclusive - must be a factor of X
denominator
35. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
when there are explicit or implicit equations in the problem:
Number
vertex (vertices - plural)
36. 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.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
A = (Diagonal1 x Diagonal2) / 2
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?
Composite number
37. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Unknown quantities
Known quantities
To find out - easily - if one fraction is bigger than another
Converting Improper Fractions to Mixed Numbers
38. Is ZERO positive or negative - both - or none?
Relative multitude
Percent Decrease Formula
Both
Axiom X.
39. What is the formula for: The Area of a Triangle ?
Quantity is expressed
A = (Base x Height) / 2 - A = (BH)/2
5/8
reflection
40. A value such as 5^2 can be called
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41. What are the only prime factors that a fraction resulting in a terminating decimals have?
To add integers that have the same sign (both positive or both negative):
2 and/or 5 only
When the addends have opposite signs one is + and the other is -
Percent Change
42. Area of a Rhombus is?
median
product
A = (D1 x D2) / 2
exactly the same portion
43. Is the agreement of things in Quanity.
Equality
Wage Rate ($ per hr) x Hrs worked
integers
x-coordinate
44. The two kinds of Magnitude are
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Magnitude at Rest and Magnitude in Motion
dividend
acute angle
45. Reducing fractions is
Sale Price - Unit Cost
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
Known (Given) and Unknown (Sought)
dividing the numerator and denominator by the same number
46. A number with an exponent of 2 is often said to be
squared
2 and/or 5 only
quotient
straight angle
47. To indicate the subtraction operation - to indicate a negative integer value
A minus sign ( - ) is used for two entirely different purposes:
they have the same absolute value
denominator
A = (D1 x D2) / 2
48. A unit for measuring area
square unit
The height of a triangle
When to use fractions
More
49. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
prism
combination of addition and subtraction
radius
50. Two numbers listed in a specific order; it describes a point on the coordinate graph
median
y-axis
When the addends have opposite signs one is + and the other is -
ordered pair