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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 number being multiplied is called the
multiplicand
Even and Odd
mode
from left to right
2. A Polygon is a closed shape formed by
Inserting a zero at the right end of a whole number
before solving
Line Segments
2
3. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
The height of a triangle
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
4. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
Wage Rate ($ per hr) x Hrs worked
improper fraction
scale drawing
To find out - easily - if one fraction is bigger than another
5. 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
Axiom IX.
Proof
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
6. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
x = (+-) a
median
Axiom V.
7. Adding integers that have opposite signs means
percent
one is positive and the other is negative
probability
right angle
8. When the product in the 1's column is greater than 9
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9. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Reducing: The Brute-Force Method
proportion
Terminating decimal
Mathematics
10. A comparison of the two values of two numbers
lowest terms
ratio
2
1
11. Every number is contained in itself once.
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
quotient
Axiom VII.
Multitude
12. A sign of grouping can be omitted when it
Positive-value integers
contains only a single number
mixed fractions
the Complement of that part to the whole
13. The distance around a figure.
complementary angles
squared
Alternative to the algebraic manipulation method to solving a VIC
perimeter
14. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
One... the number 2
reflection
The Ratio of Any two of the following: Original - Change and New
To add integers that have the same sign both positive or both negative:
15. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
prime factorization
diameter
Even
The bottom side of the triangle
16. What is the perimeter of a Polygon?
factors of the multiplication operation
Odd
Adding negative integers will always produce a negative sum
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
17. Two or more fractions that have the same denominator
like fractions
quotient
Zero multiplied by any value
(Last - First + 1)
18. Rules that tell which steps to follow when solving an expression
Any value multiplied by one
order of operations
( (Last - First) / Increment ) + 1
referred to the same Unit
19. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
Wage Rate ($ per hr) x Hrs worked
Shift DP 2 places right
diameter
To make sure to solve for Both cases.
20. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
hexagon
y-coordinate
To add integers that have the same sign both positive or both negative:
The Decimal Numbering System
21. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
proper fractions
A minus sign ( - ) is used for two entirely different purposes:
Every integer between 1 and X - inclusive - must be a factor of X
More
22. Shifts all the others upward one place value. The result is exactly ten times larger than before the zero is added.
Inserting a zero at the right end of a whole number
theorem
commutative law of multiplication
improper fraction
23. Indicates the number of times the base is to be multiplied
pyramid
exponent
Converting mixed numbers to improper fractions.
pi
24. 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.
common denominator
Step 2 of Converting Improper Fractions to Mixed Numbers
Is zero
higher terms
25. Two angles whose sum is 180 degrees
Arithmetic - Music - Geometry and Astronomy
supplementary angles
expression
Zero multiplied by any value
26. Two angles whose sum equals 90 degrees.
product
complementary angles
before solving
0
27. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
x = (+-) a
lowercase letters
median
Different Units
28. What are the 2 'percent change' equations?
To add integers that have the same sign both positive or both negative:
Original + Change = New Change/Original = Percent Change
range
Same units
29. A parallelogram with all sides equal and congruent
Odd
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
rhombus
Odd
30. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'
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31. Odd / Even = ? e.g. 9/6 = 1.5
they have the same absolute value
Known quantities
Non-Int
Even - Odd or Non-Int
32. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
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
multiplicand
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
Number Systems
33. A triangle with one right angle
right triangle
inverse
Aliquant Part
Percent Change
34. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
equation
higher terms
product
integer or whole number
35. 5/8 --> Decimal ?
obtuse angle
Adding negative integers will always produce a negative sum
0.625
Multitude
36. An equation stating that two ratios are equal
Is equal to the original value
2
Zero (0)
proportion
37. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
they have the same absolute value
Wage Rate ($ per hr) x Hrs worked
Magnitude at Rest and Magnitude in Motion
Odd
38. A ratio that compares two different types of quantities
Alternative to the algebraic manipulation method to solving a VIC
expression
rate
sample
39. A fraction with all common factors (other than 1) factored out of the numerator and denominator
integers
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
lowest terms
Even
40. In a division problem - the number that an amount is divided by
rhombus
product
divisor
Reducing fractions
41. The ratio of integers that results in a terminating decimal
Proof
Percent Change
absolute value
Some integer/Some Power of 10
42. 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
common denominator
There are two parts in the procedure for subtracting signed integers:
Arithmetic - Music - Geometry and Astronomy
vertex (vertices - plural)
43. Total Sales or Revenue = ?
Revenue ($) - Cost ($)
Percent Decrease Formula
Unit Price x Qty. Sold
y-axis
44. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
To add integers that have the same sign both positive or both negative:
The sum of all the integers from 20 to 100 - inclusive
(Last - First + 1)
Number
45. A triangle with two equal sides and two equal angles
quadrant
62.5%
Odd
isosceles triangle
46. Is the agreement of things in Quanity.
reflection
Step 2 of Converting Improper Fractions to Mixed Numbers
Axiom V.
Equality
47. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
A plus sign (+) is used for two entirely different purposes:
proportion
denominator
Decreases
48. Is the opposite of raising fractions to higher terms.
Decreases
quotient
Reducing fractions
radius
49. Adding integers that have the same sign means
A = (Base x Height) / 2 - A = (BH)/2
Arithmetic - Music - Geometry and Astronomy
Parts
both integers are positive or both are negative
50. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
scale drawing
area
Step 1 of Converting mixed numbers to improper fractions