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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. Total Earnings ($) = ?
square unit
factoring
Wage Rate ($ per hr) x Hrs worked
Axiom III.
2. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
numerator
The Ratio of Any two of the following: Original - Change and New
One... the number 2
axiom
3. A number that is not a prime number is called a
Terminating decimal
from left to right
composite number
exactly the same portion
4. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
When you are absolutely sure the variable or expression <> 0
Axiom X.
1 - (y/100)
octagon
5. The result of the division called the
quotient
Some integer/Some Power of 10
both integers are positive or both are negative
x/100
6. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
UnitPrice ($/unit) x Qty.Purchas'd (units)
x-coordinate
the denominator of the original improper fraction
Multitude
7. What is the only Even prime number?
range
Axiom I.
0
2
8. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
proper fractions
sum
0
prism
9. One of those primes must be the number __ ?
A sum of 2 primes is Odd
To add integers that have the same sign both positive or both negative:
Increases the value.
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
10. The total of two or more numbers being added
lowest terms
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
one is positive and the other is negative
sum
11. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
inverse operations
Percent Decrease Formula
UnitPrice ($/unit) x Qty.Purchas'd (units)
reciprocal
12. When will a decimal terminate and why?
putting that number over 1
When to use the Heavy Division Shortcut - and how to do it
There are two parts in the procedure for subtracting signed integers:
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
13. Change/Original = New
Odd
5/8
rate
Percent Change
14. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
Step 2 of Converting Improper Fractions to Mixed Numbers
reduced fraction
Quantity
whether the addends have the same sign or opposite signs
15. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
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
Adding negative integers will always produce a negative sum
To square an equation to solve it
Axiom II.
16. Quantities which are both equal to one and the same third are equal to one another.
Negative-value integers
Composite number
Converting Improper Fractions to Mixed Numbers
Axiom III.
17. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
polygon
Negative-value integers
improper fraction
Odd
18. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
complementary angles
Sum of Interior Angles of a Polygon: (n - 2) x 180
When numbers do not divide evenly
whether the addends have the same sign or opposite signs
19. 1 to any power is equal to
When the addends have the same sign both + or both -
1
Zero multiplied by any value
simplify
20. What's the reciprocal of v6 - and why?
one is positive and the other is negative
To add integers that have the same sign (both positive or both negative):
similar figures
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
21. A triangle that has three equal sides and three equal angles
equilateral triangle
2
parallelogram
Proof
22. When the product in the 1's column is greater than 9
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23. The Only possible factors for a prime number are
Power notation
Equal
1 and itself
order of operations
24. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Even and Odd
Wage Rate ($ per hr) x Hrs worked
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
farther to the left on the number line
25. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
Quantity
denominator
parallelogram
x-coordinate
26. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
( (Last - First) / Increment ) + 1
higher terms
quotient
Increases the value.
27. What is the formula forCounting consecutive integers?
(Last - First + 1)
polygon
A = (Base x Height) / 2 - A = (BH)/2
factors of the multiplication operation
28. Part of the population that is studied to find the characteristics of the whole population.
improper fractions
More
sample
Adding negative integers will always produce a negative sum
29. The numerator is greater than - or equal to - the denominator
Percent Change
improper fraction
hexagon
quadrilateral
30. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
equilateral triangle
the Complement of that part to the whole
prime number
Even
31. Two angles whose sum equals 90 degrees.
The rule for adding negative integers is the same as the rule for adding positive integers:
complementary angles
when there are explicit or implicit equations in the problem:
Even
32. 'y percent less than' = ?
diameter
pyramid
0.625
1 - (y/100)
33. To indicate the addition operation- to indicate a positive integer value
A plus sign (+) is used for two entirely different purposes:
quotient
x-axis
Revenue ($) - Cost ($)
34. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
referred to Unity in the same way
Even - Odd or Non-Int
combination of addition and subtraction
Converting mixed numbers to improper fractions.
35. Is the disagreement of things in Quantity.
Inequality
Any value multiplied by one
simplify
To find out - easily - if one fraction is bigger than another
36. A quadrilateral with two pairs of congruent - parallel sides.
quadrant
parallelogram
square unit
product
37. Sale Price = ?
ratio
perimeter
from left to right
Unit Cost + Markup
38. The horizontal number line of a coordinate graph
supplementary angles
Reducing fractions
x-axis
Original x (1 - x/100) = New
39. A quadrilateral with two pairs of congruent - parallel sides
denominator
When the addends have the same sign both + or both -
Zero (0)
parallelogram
40. The greater any number is in comparison to another - the more equal parts will it contain of that other.
probability
Axiom IX.
UnitPrice ($/unit) x Qty.Purchas'd (units)
integers
41. An angle that measures 180 degrees
theorem
cross product
roots of numbers
straight angle
42. Area of a Rhombus is?
before solving
More
A = (D1 x D2) / 2
Zero (0)
43. Signs of grouping may be nested
congruent
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Reducing fractions
Greater
44. The result of muliplying two or more numbers
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
order of operations
product
Equality
45. In a division problem - it's the number being divided
dividend
contains only a single number
Carry the 10's digit of the product to the top of the 10's column of factors.
Known quantities
46. A number that tells how many times the base is multiplied by itself
when there are explicit or implicit equations in the problem:
exponent
supplementary angles
Parts
47. A solid figure with two congruent and parallel circular bases
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
cylinder
sum
mode
48. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
median
Percent Decrease Formula
absolute value
When the addends have the same sign both + or both -
49. Where do fractions occur on a number line?
exponent
Fractions allow you to plot values between whole numbers and integers.
Even
Composite number
50. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
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.
lowercase Variables
( (Last - First) / Increment ) + 1
diameter