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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. The study of quantity
quotient
Even - Odd or Non-Int
Mathematics
factor
2. Expresses fractional parts that are greater than 1.
equilateral triangle
2^3 = 8
Being divided by a power of 10
mixed number
3. By the last letters (u - x - y - etc.)
x/100
integer or whole number
Subtracting Signed Integers
Known quantities
4. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
percent
Change + - Original = New
Known (Given) and Unknown (Sought)
5. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
percent
2^3 = 8
quotient
Even
6. A polygon that has four sides.
Every integer between 1 and X - inclusive - must be a factor of X
quadrilateral
probability
right triangle
7. The whole is more or greater than its part.
The sum of all the integers from 20 to 100 - inclusive
contains only a single number
Axiom IV.
equation
8. 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
Adding negative integers will always produce a negative sum
range
Axiom I.
9. A ratio that compares two different types of quantities
cross product
scalene triangle
rate
Shift DP 2 places right
10. An eight-sided polygon
quadrilateral
octagon
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
median
11. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
The rule for adding negative integers is the same as the rule for adding positive integers:
Fractions allow you to plot values between whole numbers and integers.
y-coordinate
Wage Rate ($ per hr) x Hrs worked
12. Change/Original = New
Percent Change
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
y-axis
Original + Change = New Change/Original = Percent Change
13. A number that is a multiple of all denominators in a problem.
common denominator
integer values
mode
probability
14. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
reduced fraction
Sale Price - Unit Cost
denominator
referred to Unity in the same way
15. A sign of grouping can be omitted when it
contains only a single number
one is positive and the other is negative
enclosing the numbers in a pair of vertical lines | |
The bottom side of the triangle
16. A polygon with six sides.
Magnitude at Rest and Magnitude in Motion
Magnitude
hexagon
More
17. In a division problem - the number that an amount is divided by
divisor
Even
Odd
hexagon
18. A fraction with all common factors (other than 1) factored out of the numerator and denominator
inverse operations
ratio
quotient
lowest terms
19. The method for indicating the power of a number
'five squared'
denominator
Power notation
referred to Unity in the same way
20. Profit = ?
Revenue ($) - Cost ($)
similar figures
obtuse angle
contains only a single number
21. Odd / Even = ? e.g. 9/6 = 1.5
improper fraction
mixed fraction
x = (+-) a
Non-Int
22. What is the formula forCounting consecutive integers?
acute angle
(Last - First + 1)
x/100
A minus sign ( - ) is used for two entirely different purposes:
23. The whole-number part of the mixed number is the whole-number part of the
vertex (vertices - plural)
proper fraction
radius
quotient
24. One of those primes must be the number __ ?
A = (D1 x D2) / 2
area
A sum of 2 primes is Odd
( (Last - First) / Increment ) + 1
25. Even X Even = ? ... and is div. by ?
Even div. by 4
exactly the same portion
sample
Step 1 of Converting mixed numbers to improper fractions
26. A triangle with sides of different lengths and no two angles are the same.
scalene triangle
Is equal to the original value
y-axis
To make sure to solve for Both cases.
27. A triangle with one right angle
always clear the innermost groups first
right triangle
dividend
Is zero
28. 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.
How the Last Digit Shortcut works
integer values
Non-Int
product
29. Is equal to zero. 0 x a = 0
Axiom VI.
Zero multiplied by any value
mixed number
Even
30. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
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
Odd
Always completed first
parallelogram
31. A value that combines a whole number and a fractional amount
mixed number
Arithmetic - Music - Geometry and Astronomy
circumference
octagon
32. Adding integers that have opposite signs means
median
Even
one is positive and the other is negative
A minus sign ( - ) is used for two entirely different purposes:
33. Two angles whose sum equals 90 degrees
scalene triangle
complementary angle
divisor
exactly the same portion
34. 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
y-coordinate
mean
composite number
Negative-value integers
35. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
congruent
A = (Diagonal1 x Diagonal2) / 2
median
Number
36. Every quantity is equal to itself.
Whole
sum
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
Axiom II.
37. A statement that needs to be demonstrated and is called in Latin demonstrandum.
unit ratio
Wage Rate ($ per hr) x Hrs worked
theorem
The bottom side of the triangle
38. The greater any number is in comparison to another - the more equal parts will it contain of that other.
mixed number
Axiom IX.
Absolute and Relative
Converting Improper Fractions to Mixed Numbers
39. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
Odd
base
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
x = (+-) a
40. What is the formula forCounting consecutive multiples?
1
( (Last - First) / Increment ) + 1
0
equation
41. Breaking down a composite number until all of the factors are prime
prime factorization
Aliquot Part
x-axis
Original + Change = New Change/Original = Percent Change
42. The two kinds of Magnitude are
area
divisor
common denominator
Magnitude at Rest and Magnitude in Motion
43. Includes an integer as well as a fractional part
rectangle
improper fraction
mixed fraction
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?
44. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
The sum of all the integers from 20 to 100 - inclusive
common factor
Sale Price - Unit Cost
pi
45. What's the reciprocal of v6 - and why?
Inequality
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
Same units
Even
46. What are the 2 'percent change' equations?
complementary angle
equivalent
Original + Change = New Change/Original = Percent Change
cylinder
47. The whole is equal to all of its parts taken together.
cubed
Axiom V.
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
the same point on the number line
48. Surface space that is measured in square units.
The Decimal Numbering System
y-axis
area
Axiom VII.
49. 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
Being divided by a power of 10
octagon
greatest common factor (GCF)
Some integer/Some Power of 10
50. A parallelogram with four right angles
square root
rectangle
Decreases
Step 2 of Converting Improper Fractions to Mixed Numbers