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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. 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.
octagon
similar figures
vertex (vertices - plural)
circumference
2. By the last letters (u - x - y - etc.)
x-axis
Known quantities
supplementary angles
Magnitude at Rest and Magnitude in Motion
3. The number being multiplied is called the
1
multiplicand
Odd
Revenue ($) - Cost ($)
4. A number that is a factor of two or more numbers.
UnitPrice ($/unit) x Qty.Purchas'd (units)
Odd
common factor
radius
5. One number is said to be greater than (>) another when it is
Composite number
complementary angles
Arithmetic - Music - Geometry and Astronomy
farther to the right on the number line.
6. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
reflection
trapezoid
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Even and Odd
7. 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.
Power notation
multiplicand
When numbers do not divide evenly
angle
8. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Positive-value integers
equal to 1
y-coordinate
improper fraction
9. The figure formed when two rays meet at a common endpoint called a vertex.
A = (D1 x D2) / 2
Step 1 of Converting Improper Fractions to Mixed Numbers
angle
quotient
10. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
order of operations
ordered pair
(Last - First + 1)
11. The result of multiplying two or more numbers.
mixed number
product
mixed number
More
12. What are the properties of the diagonals of a Rhombus?
To add integers that have opposite signs:
factoring
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
denominator
13. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
Odd or Non-Int
Alternative to the algebraic manipulation method to solving a VIC
Change / Original Formula?
1
14. Change / Original Formula
Change + - Original = New
obtuse angle
referred to the same Unit
1
15. Decreasing the Denominator of a fraction Increases/Decreases the value?
Axiom X.
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
Increases the value.
16. 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.
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
Known quantities
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?
squared
17. Expresses fractional parts that are greater than 1.
mixed number
proper fraction
congruent
exponent
18. Area of a Rhombus is?
Reducing: The Brute-Force Method
To add integers that have opposite signs:
the Complement of that part to the whole
A = (D1 x D2) / 2
19. A value such as 6^3 can described as
20. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
axiom
Terminating decimal
improper fraction
higher terms
21. The difference between the least and greatest values in a set of numbers.
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
To add integers that have opposite signs:
Aliquot and Aliquant Parts
range
22. Always try to Factor a quadratic equation
before solving
median
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?
Relative multitude
23. What is the formula forCounting consecutive multiples?
1 - (y/100)
x/100
( (Last - First) / Increment ) + 1
Whole Numbers
24. The vertical number line of a coordinate graph
y-axis
The concept of trading decimal places and how it works
1 - (y/100)
A plus sign (+) is used for two entirely different purposes:
25. A mathematical sentence that uses an equal sign
One... the number 2
Odd or Non-Int
equation
Axiom III.
26. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
difference
Evaluating Powers With Negative Exponents
Sum of Interior Angles of a Polygon: (n - 2) x 180
composite number
27. Is ZERO positive or negative - both - or none?
Both
To add integers that have the same sign (both positive or both negative):
both integers are positive or both are negative
Adding negative integers will always produce a negative sum
28. A triangle that has three equal sides and three equal angles
Sale Price - Unit Cost
equilateral triangle
proportion
combination of addition and subtraction
29. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
'five squared'
similar figures
Axiom V.
To add integers that have opposite signs:
30. Adding integers that have the same sign means
equivalent
both integers are positive or both are negative
Magnitude at Rest and Magnitude in Motion
absolute value
31. The vertical number line of a coordinate graph
y-coordinate
vertex (vertices - plural)
quotient
y-axis
32. 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
Being divided by a power of 10
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
equilateral triangle
Even
33. The terms Species and Number
Shift DP 2 places right
always clear the innermost groups first
reciprocal
Quantity is expressed
34. Total Sales or Revenue = ?
Aliquot and Aliquant Parts
Zero (0)
Unit Price x Qty. Sold
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
35. What is the increment of a set of consecutive integers?
quadrilateral
referred to the same Unit
contains only a single number
1
36. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
sample
Some integer/Some Power of 10
rectangle
The Ratio of Any two of the following: Original - Change and New
37. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
parallelogram
integer values
the Complement of that part to the whole
similar figures
38. Sale Price = ?
Unit Cost + Markup
dividend
To convert any fraction to higher terms
similar figures
39. Taken together - the multiplicand and multiplier are known as
How the Last Digit Shortcut works
x-coordinate
Unity - or a Unit
factors of the multiplication operation
40. 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
x-axis
Parts
Fractions allow you to plot values between whole numbers and integers.
There are two parts in the procedure for subtracting signed integers:
41. 1 to any power is equal to
1
denominator
acute angle
mixed number
42. A solid figure with two congruent and parallel circular bases
Same units
circumference
cylinder
acute angle
43. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
octagon
Sale Price - Unit Cost
Even
factor
44. Species and Number may be
Both
vertex (vertices - plural)
Different Units
Homogenous or Heterogenous
45. To indicate the subtraction operation - to indicate a negative integer value
multiplier
When to use fractions
A minus sign ( - ) is used for two entirely different purposes:
congruent
46. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
the denominator of the original improper fraction
denominator
perimeter
47. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
2
y-axis
Adding negative integers will always produce a negative sum
roots of numbers
48. Includes an integer as well as a fractional part
complementary angles
Some integer/Some Power of 10
mixed number
median
49. Change + - Original = New
quotient
mode
Every integer between 1 and X - inclusive - must be a factor of X
Change / Original Formula?
50. The base of a triangle refers to?
integer values
improper fraction
The bottom side of the triangle
Odd