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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. 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.
Is zero
improper fractions
Reducing: The Brute-Force Method
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
2. The smallest multiple that two or more numbers have in common
from left to right
Computation
radius
least common multiple (LCM)
3. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
Unit Cost + Markup
To add integers that have the same sign both positive or both negative:
lowercase Variables
4. Whole is equal in Multitude to a Part of the other.
Equal
Is equal to the original value
base
rectangle
5. 5/8 --> Decimal ?
improper fractions
Wage Rate ($ per hr) x Hrs worked
composite number
0.625
6. A parallelogram with all sides equal and congruent
Reducing: The Brute-Force Method
rhombus
equilateral triangle
quadrilateral
7. A number with only two factors: the number itself and one.
Negative-value integers
complementary angle
prime number
To add integers that have the same sign both positive or both negative:
8. 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.
exactly the same portion
congruent
diameter
A = (Diagonal1 x Diagonal2) / 2
9. Anything that may be increased or diminished
Step 1 of Converting Improper Fractions to Mixed Numbers
Quantity
isosceles triangle
Axiom VIII.
10. Species of Quantities are signified by
congruent
lowercase letters
Quantity
quadrant
11. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Power notation
Different Units
unit ratio
Original + Change = New Change/Original = Percent Change
12. Are those things collected in a whole.
cubed
Parts
dividend
Axiom VIII.
13. The terms Species and Number
Quantity is expressed
Converting mixed numbers to improper fractions.
congruent
Change / Original Formula?
14. A sign of grouping can be omitted when it
contains only a single number
divisor
range
Power notation
15. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
similar figures
Alternative to the algebraic manipulation method to solving a VIC
When to use fractions
16. 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.
vertex (vertices - plural)
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
Every integer between 1 and X - inclusive - must be a factor of X
simplify
17. 3 ways to solve an absolute value inequality
inverse operations
Odd
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
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
18. A triangle with one right angle
right triangle
rhombus
Some integer/Some Power of 10
( (Last - First) / Increment ) + 1
19. One of the four regions formed by the intersection of the axes of a coordinate graph
Alternative to the algebraic manipulation method to solving a VIC
complementary angle
quadrant
scale drawing
20. The base of a triangle refers to?
The bottom side of the triangle
fraction or broken number
higher terms
Axiom X.
21. In a group of values - the value that occurs most often
obtuse angle
mode
To convert any fraction to higher terms
To square an equation to solve it
22. Operations enclosed in a sign of grouping
Always completed first
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
simplify
unit ratio
23. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Inserting a zero at the right end of a whole number
Known quantities
Both
least common multiple (LCM)
24. The vertical number line of a coordinate graph
Axiom VI.
Axiom X.
y-axis
quadrilateral
25. 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.
Axiom III.
composite number
Reducing fractions
vertex (vertices - plural)
26. Profit = ?
There are two parts in the procedure for subtracting signed integers:
( (Last - First) / Increment ) + 1
Revenue ($) - Cost ($)
area
27. Zero divided by any whole number (except 0)
Positive-value integers
'five squared'
farther to the right on the number line.
Is zero
28. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
equal to 1
axiom
Multitude
supplementary angles
29. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
they have the same absolute value
reciprocal
Quantity is expressed
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
30. Quantities which are both equal to one and the same third are equal to one another.
trapezoid
Axiom III.
Even
dividend
31. A self-evident statement - that is - one that does not need to be demonstrated.
scalene triangle
axiom
Axiom X.
x = (+-) a
32. Can have many different combinations of factors
Composite number
5/8
dividend
axiom
33. A number that is a multiple of all denominators in a problem.
proper fraction
Original + Change = New Change/Original = Percent Change
common denominator
Multitude
34. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
Odd
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.
base
Being divided by a power of 10
35. The Sum of n consecutive integers is divisible by n if n is
Step 1 of Converting Improper Fractions to Mixed Numbers
Known (Given) and Unknown (Sought)
Odd
x-coordinate
36. The four Mathematical arts are:
Aliquot Part
Sale Price - Unit Cost
acute angle
Arithmetic - Music - Geometry and Astronomy
37. Having the same size and shape
Adding negative integers will always produce a negative sum
parallelogram
congruent
rectangle
38. If 2 numbers are OPPOSITES of each other
Reducing fractions
they have the same absolute value
circumference
Zero (0)
39. An angle measuing more than 0 degrees and less than 90 degrees
prism
acute angle
right triangle
Even and Odd
40. Rules that tell which steps to follow when solving an expression
order of operations
scalene triangle
vertex (vertices - plural)
(Last - First + 1)
41. 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 intege
Odd
Sum of Interior Angles of a Polygon: (n - 2) x 180
rectangle
There are two parts in the procedure for subtracting signed integers:
42. Odd +/- ____ = Odd
The rule for adding negative integers is the same as the rule for adding positive integers:
they have the same absolute value
numerator
Even
43. Always perform the operations
0.625
product
rectangle
from left to right
44. Has no sign value
Aliquot and Aliquant Parts
improper fraction
To convert any fraction to higher terms
Zero (0)
45. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Unknown quantities
2^3 = 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
change the operation from subtraction to addition
46. 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
composite number
When to use the Heavy Division Shortcut - and how to do it
vertex (vertices - plural)
percent
47. 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:
Proof
Original + Change = New Change/Original = Percent Change
exponent
48. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
Aliquot Part
like fractions
order of operations
49. A comparison of the two values of two numbers
ratio
Is zero
absolute value
median
50. 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
Homogenous or Heterogenous
Line Segments
Converting Improper Fractions to Mixed Numbers
improper fraction
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