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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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 number that is not a prime number is called a
Every integer between 1 and X - inclusive - must be a factor of X
Inequality
composite number
denominator
2. To indicate the subtraction operation - to indicate a negative integer value
Parts
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
A minus sign ( - ) is used for two entirely different purposes:
prime factorization
3. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
A = (Diagonal1 x Diagonal2) / 2
factor
Always completed first
4. Odd x ? = Even
prism
factor
Is zero
Even
5. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
composite number
y-axis
Sale Price - Unit Cost
'six cubed'
6. The sum of a group of numbers divided by the number of numbers; also known as the average
mean
probability
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Reducing fractions
7. A mathematical sentence that uses an equal sign
Sum of Interior Angles of a Polygon: (n - 2) x 180
improper fraction
equation
Absolute and Relative
8. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even div. by 4
Zero multiplied by any value
complementary angle
Even
9. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
'six cubed'
product
Non-Int
10. What is the formula forCounting consecutive integers?
(Last - First + 1)
putting that number over 1
The rule for adding negative integers is the same as the rule for adding positive integers:
y-coordinate
11. Having the same size and shape
congruent
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
To square an equation to solve it
Reducing by the Largest Common Factor (LCF)
12. No integer (except 1) that divides evenly into both the numerator and denominator.
More
reduced fraction
Even
Quantity
13. By the first letters of the alphabet (a - b - c - d - etc..)
Axiom III.
Unknown quantities
(Last - First + 1)
x-coordinate
14. The horizontal number line of a coordinate graph
x-axis
Is zero
similar figures
acute angle
15. 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
Positive-value integers
pyramid
factoring
unit ratio
16. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Unity - or a Unit
Terminating decimal
Wage Rate ($ per hr) x Hrs worked
pentagon
17. A quadrilateral with one pair of parallel sides
trapezoid
Change + - Original = New
Zero (0)
Quantity is expressed
18. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Number Systems
scale drawing
Odd
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
19. Multiply both the numerator and denominator by the same integer value.
To add integers that have opposite signs:
To convert any fraction to higher terms
Alternative to the algebraic manipulation method to solving a VIC
Wage Rate ($ per hr) x Hrs worked
20. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
theorem
Magnitude at Rest and Magnitude in Motion
Odd
21. Total Earnings ($) = ?
sum
Revenue ($) - Cost ($)
Wage Rate ($ per hr) x Hrs worked
Percent Change
22. 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').
To add integers that have opposite signs:
range
Whole Numbers
Multitude
23. A sign of grouping can be omitted when it
A = (Diagonal1 x Diagonal2) / 2
There are two parts in the procedure for subtracting signed integers:
contains only a single number
Increases the value.
24. What is the formula forCounting consecutive integers?
(Last - First + 1)
angle
factor
The bottom side of the triangle
25. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
Subtracting Signed Integers
Equal
supplementary angles
Step 1 of Converting mixed numbers to improper fractions
26. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
exactly the same portion
To square an equation to solve it
mean
perimeter
27. Cross-multiply
To find out - easily - if one fraction is bigger than another
prime factors
exponent
scalene triangle
28. 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
Converting Improper Fractions to Mixed Numbers
Homogenous or Heterogenous
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
Wage Rate ($ per hr) x Hrs worked
29. The two kinds of Quantity are
dividend
To add integers that have the same sign both positive or both negative:
x-coordinate
Multitudes and Magnitudes
30. When working with nested signs of grouping
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
always clear the innermost groups first
0.625
median
31. A collection of things taken as a Unity. A bushel of wheat is a whole.
Quantity is expressed
Even
Whole
parallelogram
32. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
quadrilateral
When the addends have opposite signs one is + and the other is -
Odd
numerator
33. A number is increased by 25%... what must you reduce the new number by to get the old number again?
mixed number
Decimals/Percents
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
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
34. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
Multitude
Axiom IX.
Aliquot Part
when there are explicit or implicit equations in the problem:
35. Things are Equal in Multitude when they are
square root
when there are explicit or implicit equations in the problem:
referred to Unity in the same way
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
36. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
like fractions
The Ratio of Any two of the following: Original - Change and New
Change / Original Formula?
median
37. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
circumference
Sum of Interior Angles of a Polygon: (n - 2) x 180
To add integers that have opposite signs:
cubed
38. Is the disagreement of things in Quantity.
acute angle
Reducing by the Largest Common Factor (LCF)
Inequality
Absolute and Relative
39. The result of the division called the
Both
mode
quotient
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
40. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Aliquot Part
composite number
range
integer or whole number
41. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
x-coordinate
base
always clear the innermost groups first
42. When the product in the 1's column is greater than 9
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43. A triangle with two equal sides and two equal angles
isosceles triangle
Wage Rate ($ per hr) x Hrs worked
Always completed first
dividend
44. Is the agreement of things in Quanity.
Equality
probability
polygon
Even
45. Sale Price = ?
To make sure to solve for Both cases.
y-axis
exactly the same portion
Unit Cost + Markup
46. What is the only Even prime number?
integer values
2
To convert any fraction to higher terms
lowercase letters
47. The distance around a circle (the perimeter of a circle)
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?
circumference
Revenue ($) - Cost ($)
octagon
48. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Known (Given) and Unknown (Sought)
Long Division
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?
parallel lines
49. Two or more fractions that have the same denominator
Computation
Increases the value.
like fractions
(Last - First + 1)
50. The absolute value of numbers is indicated by
Quantity
common factor
When the addends have opposite signs one is + and the other is -
enclosing the numbers in a pair of vertical lines | |
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