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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. When will a decimal terminate and why?
ordered pair
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:
circumference
2. One number is said to be less than (<) another when it is
Multitude
farther to the left on the number line
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.
prime number
3. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
When the addends have opposite signs one is + and the other is -
simplify
Wage Rate ($ per hr) x Hrs worked
Reducing fractions
4. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
A sum of 2 primes is Odd
Odd
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
x/100
5. Method: convert Percent to Decimal?
Shift DP 2 places left
vertex (vertices - plural)
quadrilateral
The bottom side of the triangle
6. An angle measuing more than 0 degrees and less than 90 degrees
circumference
right triangle
acute angle
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
7. Every lesser number is contained in a greater more than once.
Axiom VIII.
Whole Numbers
proportion
'five squared'
8. Sale Price = ?
Unit Cost + Markup
Is zero
integer or whole number
mode
9. To indicate the subtraction operation - to indicate a negative integer value
enclosing the numbers in a pair of vertical lines | |
simplify
A minus sign ( - ) is used for two entirely different purposes:
Even or Non-Int
10. Quantities which are both equal to one and the same third are equal to one another.
A = (Diagonal1 x Diagonal2) / 2
Axiom III.
Axiom VI.
improper fraction
11. Two numbers listed in a specific order; it describes a point on the coordinate graph
One... the number 2
ordered pair
A plus sign (+) is used for two entirely different purposes:
integers
12. By the last letters (u - x - y - etc.)
polygon
( (Last - First) / Increment ) + 1
Known quantities
Long Division
13. Change + - Original = New
Mathematics
Change / Original Formula?
cubed
Shift DP 2 places left
14. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
Is zero
Reducing: The Brute-Force Method
hexagon
15. Multiply both the numerator and denominator by the same integer value.
prime number
To convert any fraction to higher terms
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
unit ratio
16. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
proper fractions
To add integers that have opposite signs:
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
17. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
1
octagon
Sale Price - Unit Cost
y-coordinate
18. Basic Number Properties and elementary operations.
Number Systems
perimeter
equal to itself.
The sum of all the integers from 20 to 100 - inclusive
19. To make a fraction easier to work with by taking out common factors
base
acute angle
'six cubed'
simplify
20. What is the formula for: The Area of a Triangle ?
theorem
2 and/or 5 only
Computation
A = (Base x Height) / 2 - A = (BH)/2
21. The Sum of n consecutive integers is divisible by n if n is
rectangle
Homogenous or Heterogenous
combination of addition and subtraction
Odd
22. Surface space that is measured in square units
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
area
product
Positive-value integers
23. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
percent
Even
When to use fractions
Step 1 of Converting mixed numbers to improper fractions
24. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
Odd
Inserting a zero at the right end of a whole number
To add integers that have opposite signs:
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
25. The terms Species and Number
Quantity is expressed
y-coordinate
right triangle
Species
26. A triangle with two equal sides and two equal angles
product
Aliquot and Aliquant Parts
isosceles triangle
x/100
27. An evenly-spaced set is fully-defined if what is known...?
Composite number
Unit Cost + Markup
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
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
28. The numerator of the fraction part of the mixed number is the remainder from the
quotient
Unit Price x Qty. Sold
A = (D1 x D2) / 2
Long Division
29. The absolute value of numbers is indicated by
enclosing the numbers in a pair of vertical lines | |
When to use the Heavy Division Shortcut - and how to do it
scalene triangle
To add integers that have the same sign both positive or both negative:
30. Having the same size and shape
right triangle
congruent
referred to the same Unit
Axiom VII.
31. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
Step 1 of Converting mixed numbers to improper fractions
probability
Is zero
32. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
mean
Multitude
integer or whole number
squared
33. A value such as 6^3 can described as
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34. 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.
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?
reflection
Decreases
similar figures
35. 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
similar figures
quotient
factoring
There are two parts in the procedure for subtracting signed integers:
36. An eight-sided polygon
improper fraction
Aliquot Part
scalene triangle
octagon
37. All the positive whole numbers
integer values
Reducing fractions
common denominator
quadrant
38. The figure formed when two rays meet at a common endpoint called a vertex.
angle
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
product
congruent
39. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
When the addends have the same sign both + or both -
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
pi
the Complement of that part to the whole
40. 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
exponent
Inserting a zero at the right end of a whole number
Being divided by a power of 10
2
41. The largest single factor for two or more numbers.
farther to the left on the number line
x-axis
Axiom X.
greatest common factor (GCF)
42. When the factors of a number are all prime numbers - the factors are said to be the
Zero multiplied by any value
referred to Unity in the same way
prime factors
Multitude
43. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Even
quotient
Axiom VI.
proper fractions
44. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Revenue ($) - Cost ($)
lowest terms
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
reciprocal
45. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
product
Zero multiplied by any value
ratio
Even
46. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Step 1 of Converting Improper Fractions to Mixed Numbers
Carry the 10's digit of the product to the top of the 10's column of factors.
Is zero
When the addends have opposite signs one is + and the other is -
47. 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
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
axiom
least common multiple (LCM)
When to use the Heavy Division Shortcut - and how to do it
48. A whole number can be expressed as an improper fraction by
difference
putting that number over 1
trapezoid
improper fraction
49. An equation stating that two ratios are equal
cubed
Evaluating Powers With Negative Exponents
proportion
(Last - First + 1)
50. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Carry the 10's digit of the product to the top of the 10's column of factors.
pentagon
Even and Odd
Step 1 of Converting mixed numbers to improper fractions
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