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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. A triangle with two equal sides and two equal angles
radius
Unknown quantities
contains only a single number
isosceles triangle
2. Even / Even = ? e.g. 12/2 = 6 e.g. 12/4 = 3 e.g. 12/8 = 1.5
composite number
Even - Odd or Non-Int
0.625
equal to 1 divided by that number with a positive exponent
3. The whole is equal to all of its parts taken together.
The rule for adding negative integers is the same as the rule for adding positive integers:
Axiom V.
Some integer/Some Power of 10
complementary angle
4. What's the reciprocal of v6 - and why?
mixed fractions
Different Units
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
A = (D1 x D2) / 2
5. The base of a triangle refers to?
Different Units
Revenue ($) - Cost ($)
The bottom side of the triangle
Negative-value integers
6. One of the four regions formed by the intersection of the axes of a coordinate graph
simplify
quadrant
the denominator of the original improper fraction
numerator
7. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
congruent
Axiom V.
Known (Given) and Unknown (Sought)
simplify
8. The numerator of the fraction part of the mixed number is the remainder from the
quotient
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
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Multitude
9. Switch to a number-picking strategy
Power notation
Alternative to the algebraic manipulation method to solving a VIC
y-axis
Any value multiplied by one
10. 1 to any power is equal to
Same units
product
A = (Diagonal1 x Diagonal2) / 2
1
11. A sign of grouping can be omitted when it
Being divided by a power of 10
dividend
contains only a single number
farther to the right on the number line.
12. 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
Sale Price - Unit Cost
Negative-value integers
A minus sign ( - ) is used for two entirely different purposes:
diameter
13. Is the agreement of things in Quanity.
area
mean
y-coordinate
Equality
14. The number being multiplied is called the
squared
multiplicand
the same point on the number line
prime factors
15. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
median
x-axis
More
vertex (vertices - plural)
16. One of those primes must be the number __ ?
dividend
the same point on the number line
Unknown quantities
A sum of 2 primes is Odd
17. A triangle that has three equal sides and three equal angles
reduced fraction
proper fraction
equilateral triangle
Axiom IX.
18. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
angle
equal to 1
2
exactly the same portion
19. The sum of a group of numbers divided by the number of numbers. Also known as the average.
(Last - First + 1)
mean
commutative law of multiplication
Unit Price x Qty. Sold
20. Unit Profit = ?
5/8
To add integers that have the same sign both positive or both negative:
Sale Price - Unit Cost
Unknown quantities
21. For there to be X unique factors of X - what must be true?
To add integers that have opposite signs:
Aliquot Part
1 - (y/100)
Every integer between 1 and X - inclusive - must be a factor of X
22. The distance around a figure
multiplier
perimeter
Is zero
inverse
23. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
the denominator of the original improper fraction
prime factorization
scale drawing
Inequality
24. Total Sales or Revenue = ?
Unit Price x Qty. Sold
Step 1 of Converting Improper Fractions to Mixed Numbers
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
More
25. When will a decimal terminate and why?
area
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
exponent
parallelogram
26. The Only possible factors for a prime number are
reflection
1 and itself
To add integers that have the same sign both positive or both negative:
percent
27. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
Greater
whether the addends have the same sign or opposite signs
Quantity
28. An evenly-spaced set is fully-defined if what is known...?
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
To convert any fraction to higher terms
Sum of Interior Angles of a Polygon: (n - 2) x 180
prism
29. A polygon that has four sides
quadrilateral
More
the denominator of the original improper fraction
range
30. The number to be multiplied by is called the
scalene triangle
diameter
multiplier
fraction or broken number
31. Adding integers that have opposite signs means
one is positive and the other is negative
Power notation
Long Division
More
32. The lower number in a fraction is the
Axiom VI.
Odd
denominator
proper fraction
33. An angle that measures 90 degrees
order of operations
right angle
Axiom VII.
like fractions
34. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
farther to the right on the number line.
cross product
Adding negative integers will always produce a negative sum
whether the addends have the same sign or opposite signs
35. All the positive whole numbers
Fractions allow you to plot values between whole numbers and integers.
Computation
integer values
Negative-value integers
36. A value such as 6^3 can described as
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37. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
Aliquot Part
Converting Improper Fractions to Mixed Numbers
integers
The sum of all the integers from 20 to 100 - inclusive
38. The whole is more or greater than its part.
Axiom IV.
Axiom V.
To add integers that have the same sign both positive or both negative:
Even
39. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
scalene triangle
quadrilateral
Proof
denominator
40. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
product
mode
Even and Odd
Change + - Original = New
41. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
the Complement of that part to the whole
Magnitude
Adding negative integers will always produce a negative sum
'five squared'
42. Where do fractions occur on a number line?
Positive-value integers
circumference
Fractions allow you to plot values between whole numbers and integers.
y-coordinate
43. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
numerator
Step 1 of Converting mixed numbers to improper fractions
diameter
Inserting a zero at the right end of a whole number
44. 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
Same units
polygon
Subtracting Signed Integers
enclosing the numbers in a pair of vertical lines | |
45. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
Sale Price - Unit Cost
To add integers that have the same sign (both positive or both negative):
the same point on the number line
Axiom IX.
46. An angle measuring more than zero degrees and less than 90 degrees
prime factorization
acute angle
rhombus
A sum of 2 primes is Odd
47. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
How the Last Digit Shortcut works
Number
Homogenous or Heterogenous
48. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
pyramid
scale drawing
common denominator
49. Surface space that is measured in square units.
perimeter
x-coordinate
1
area
50. Reducing fractions is
Decreases
dividing the numerator and denominator by the same number
Mathematics
The rule for adding negative integers is the same as the rule for adding positive integers: