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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. What are the 3 main formulaic properties of evenly-spaced sets?
Even or Non-Int
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
Known quantities
62.5%
2. A solid figure with two congruent and parallel circular bases
mode
cylinder
Is equal to the original value
The sum of all the integers from 20 to 100 - inclusive
3. Trading decimal places refers to moving the decimals in the opposite direction the same number of places - when multiplying a very large number and a very small number.
Revenue ($) - Cost ($)
Whole
The concept of trading decimal places and how it works
Fractions allow you to plot values between whole numbers and integers.
4. One of the four regions formed by the intersection of the axes of a coordinate graph
trapezoid
multiplier
commutative law of multiplication
quadrant
5. The study of quantity
Mathematics
Is equal to the original value
(Last - First + 1)
1
6. Always try to Factor a quadratic equation
before solving
prime factorization
Inequality
cubed
7. The ratio of a number to 100 (per one hundred); the symbol %
Inserting a zero at the left end of a whole number
percent
( (Last - First) / Increment ) + 1
fraction or broken number
8. 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.
referred to Unity in the same way
order of operations
vertex (vertices - plural)
ratio
9. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
prime factorization
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
mixed number
median
10. The denominator of the fraction part of the mixed number is
integers
acute angle
the denominator of the original improper fraction
the Complement of that part to the whole
11. 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 -
To add integers that have opposite signs:
commutative law of multiplication
Odd
12. The smallest multiple that two or more numbers have in common
Zero (0)
UnitPrice ($/unit) x Qty.Purchas'd (units)
Multitudes and Magnitudes
least common multiple (LCM)
13. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
prism
The Decimal Numbering System
To square an equation to solve it
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
14. Are those things collected in a whole.
0
enclosing the numbers in a pair of vertical lines | |
When to use the Heavy Division Shortcut - and how to do it
Parts
15. Always perform combinations of multiplication and division before
Any value multiplied by one
area
Inserting a zero at the left end of a whole number
combination of addition and subtraction
16. The result of multiplying two or more numbers.
'five squared'
product
ordered pair
Parts
17. All whole numbers (both positive and negative) and zero.
Even div. by 4
isosceles triangle
integers
(Last - First + 1)
18. Can have many different combinations of factors
Aliquot Part
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Increases the value.
Composite number
19. Method: convert Decimal to Percent?
Shift DP 2 places right
mixed number
Unity - or a Unit
right angle
20. One of those primes must be the number __ ?
A sum of 2 primes is Odd
Quantity
y-axis
hexagon
21. The whole-number part of the mixed number is the whole-number part of the
pentagon
quotient
Multitude
prime number
22. The numerator is smaller than the denominator
ratio
square root
circumference
proper fraction
23. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Axiom I.
Sale Price - Unit Cost
Inequality
Inserting a zero at the left end of a whole number
24. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
2^3 = 8
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Alternative to the algebraic manipulation method to solving a VIC
Odd
25. An eight-sided polygon
they have the same absolute value
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
before solving
octagon
26. The ratio of integers that results in a terminating decimal
Some integer/Some Power of 10
Even
mean
Always completed first
27. When the factors of a number are all prime numbers - the factors are said to be the
scalene triangle
supplementary angles
prime factors
Is equal to the original value
28. .625 --> Percent?
acute angle
Step 2 of Converting mixed numbers to improper fractions
62.5%
enclosing the numbers in a pair of vertical lines | |
29. A parallelogram with four right angles
62.5%
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
rectangle
reciprocal
30. Unit Profit = ?
A minus sign ( - ) is used for two entirely different purposes:
To find out - easily - if one fraction is bigger than another
Arithmetic - Music - Geometry and Astronomy
Sale Price - Unit Cost
31. A comparison of the two values of two numbers
ratio
like fractions
0
Long Division
32. ' x percent' = ?
cubed
x/100
Inequality
theorem
33. A number with an exponent of 2 is often said to be
squared
quadrant
Sale Price - Unit Cost
complementary angles
34. 3/2 - 8/3 - -16/5 - 7/7
Increases the value.
lowest terms
improper fractions
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
35. The process of breaking a number down into its factors is called
order of operations
Revenue ($) - Cost ($)
Percent Change
factoring
36. For there to be X unique factors of X - what must be true?
congruent
complementary angle
acute angle
Every integer between 1 and X - inclusive - must be a factor of X
37. Two angles whose sum is 180 degrees
parallel lines
supplementary angles
mean
exactly the same portion
38. The action of the mind whereby a quantity is measured by Unity or a Unit.
parallel lines
Computation
quadrant
Carry the 10's digit of the product to the top of the 10's column of factors.
39. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
( (Last - First) / Increment ) + 1
pyramid
pi
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
40. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
The sum of all the integers from 20 to 100 - inclusive
Carry the 10's digit of the product to the top of the 10's column of factors.
Odd or Non-Int
numerator
41. A self-evident statement - that is - one that does not need to be demonstrated.
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
axiom
improper fraction
unit ratio
42. 1 to any power is equal to
trapezoid
1
farther to the left on the number line
Relative multitude
43. The result of dividing one number by another; the solution to a division problem
exponent
Axiom II.
greatest common factor (GCF)
quotient
44. The number being multiplied is called the
polygon
multiplicand
Unit Price x Qty. Sold
To add integers that have opposite signs:
45. A unit for measuring area
square unit
multiplier
divisor
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
46. What is the formula forCounting consecutive integers?
(Last - First + 1)
scalene triangle
mixed number
complementary angle
47. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
the denominator of the original improper fraction
hexagon
5/8
48. What is the formula for: The Area of a Triangle ?
squared
A = (Base x Height) / 2 - A = (BH)/2
2
proper fraction
49. When will a decimal terminate and why?
equilateral triangle
Both
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
inverse
50. The distance around a circle (the perimeter of a circle)
Shift DP 2 places left
circumference
x-axis
Reducing: The Brute-Force Method
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