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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. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
equal to 1 divided by that number with a positive exponent
similar figures
Sale Price - Unit Cost
common factor
2. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
Magnitude at Rest and Magnitude in Motion
Axiom VII.
Inequality
absolute value
3. 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
angle
When to use the Heavy Division Shortcut - and how to do it
'five squared'
mixed number
4. A solid figure with two congruent and parallel circular bases
cylinder
Axiom V.
percent
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
5. All whole numbers (both positive and negative) and zero.
Evaluating Powers With Negative Exponents
integers
When to use fractions
Aliquot and Aliquant Parts
6. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Homogenous or Heterogenous
radius
Revenue ($) - Cost ($)
obtuse angle
7. A triangle with sides of different lengths and no two angles are the same
rhombus
referred to the same Unit
scalene triangle
Decimals/Percents
8. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Aliquant Part
median
parallel lines
divisor
9. Why are Even Exponents dangerous?
equilateral triangle
To add integers that have opposite signs:
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
always clear the innermost groups first
10. A mirror image of a figure shown over a line of reflection
hexagon
Even div. by 4
reflection
multiplicand
11. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
order of operations
simplify
angle
The height of a triangle
12. Things are Equal in Multitude when they are
denominator
Is zero
Sale Price - Unit Cost
referred to Unity in the same way
13. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Axiom I.
Decreases
Different Units
order of operations
14. A solid figure that has triangles for its sides and a polygon as its base
scalene triangle
quadrilateral
pyramid
Even or Non-Int
15. A value such as 5^2 can be called
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183
16. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
quotient
polygon
composite number
axiom
17. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
quotient
Number Systems
The rule for adding negative integers is the same as the rule for adding positive integers:
Odd
18. A fraction with all common factors (other than 1) factored out of the numerator and denominator
lowest terms
Axiom VIII.
2 and/or 5 only
unit ratio
19. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
2^3 = 8
A = (D1 x D2) / 2
sample
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?
20. By the last letters (u - x - y - etc.)
Known quantities
x = (+-) a
simplify
exponent
21. Has no sign value
exponent
prism
A plus sign (+) is used for two entirely different purposes:
Zero (0)
22. The upper number in a fraction is the
reflection
exponent
Any value multiplied by one
numerator
23. Any value divided by one
inverse
Is equal to the original value
Any value multiplied by one
Magnitude at Rest and Magnitude in Motion
24. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
supplementary angles
Even or Non-Int
Even
Even
25. The number to be multiplied by is called the
When to use fractions
integers
Inserting a zero at the right end of a whole number
multiplier
26. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
absolute value
Is equal to the original value
inverse operations
improper fraction
27. A number that is not a prime number is called a
theorem
composite number
congruent
y-axis
28. Whole is equal in Multitude to a Part of the other.
prime number
Even
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
Equal
29. Every number is contained in itself once.
Magnitude at Rest and Magnitude in Motion
Any value multiplied by one
Axiom VII.
mixed number
30. Factors may be multiplied in any order.
Sale Price - Unit Cost
commutative law of multiplication
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
31. In a group of values - the value that occurs most often
mode
factors of the multiplication operation
Odd
Step 1 of Converting Improper Fractions to Mixed Numbers
32. Any number with an exponent of 1
Different Units
Sum of Interior Angles of a Polygon: (n - 2) x 180
To add integers that have opposite signs:
equal to itself.
33. Having the same value
5/8
Arithmetic - Music - Geometry and Astronomy
equivalent
Zero multiplied by any value
34. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
Even
Wage Rate ($ per hr) x Hrs worked
Power notation
2
35. The smallest multiple that two or more numbers have in common
improper fraction
2
Axiom II.
least common multiple (LCM)
36. The number doing the dividing is called the
improper fraction
Step 1 of Converting mixed numbers to improper fractions
area
divisor
37. Switch to a number-picking strategy
multiplicand
Alternative to the algebraic manipulation method to solving a VIC
Revenue ($) - Cost ($)
hexagon
38. What are the rules for picking numbers in VICS?
Decimals/Percents
More
equilateral triangle
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
39. 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
the Complement of that part to the whole
To add integers that have opposite signs:
divisor
Converting Improper Fractions to Mixed Numbers
40. A comparison of the two values of two numbers
parallelogram
pi
exponent
ratio
41. A whole number can be expressed as an improper fraction by
proportion
equation
putting that number over 1
Step 2 of Converting Improper Fractions to Mixed Numbers
42. A polygon with five sides
Positive-value integers
pentagon
referred to Unity in the same way
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
43. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
mixed fractions
equal to itself.
pi
product
44. Lines in the same plane that do not intersect. The symbol //
Converting mixed numbers to improper fractions.
parallel lines
Arithmetic - Music - Geometry and Astronomy
Alternative to the algebraic manipulation method to solving a VIC
45. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
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.
median
factors of the multiplication operation
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
46. The largest single factor for two or more numbers.
Magnitude
axiom
greatest common factor (GCF)
factors of the multiplication operation
47. 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').
vertex (vertices - plural)
Zero multiplied by any value
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.
Whole Numbers
48. Every lesser number is contained in a greater more than once.
Axiom VIII.
A sum of 2 primes is Odd
Converting Improper Fractions to Mixed Numbers
Even
49. 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.
Long Division
Equal
median
square unit
50. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Sum of Interior Angles of a Polygon: (n - 2) x 180
A = (D1 x D2) / 2
To add integers that have opposite signs:
Species
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