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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. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
acute angle
unit ratio
A = (Base x Height) / 2 - A = (BH)/2
2. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
product
mixed fractions
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
Every integer between 1 and X - inclusive - must be a factor of X
3. Surface space that is measured in square units
quadrilateral
To make sure to solve for Both cases.
area
mode
4. Total Sales or Revenue = ?
range
Unit Price x Qty. Sold
Both
acute angle
5. The numerator is greater than - or equal to - the denominator
enclosing the numbers in a pair of vertical lines | |
equilateral triangle
product
improper fraction
6. Two or more fractions that have the same denominator
Evaluating Powers With Negative Exponents
like fractions
ordered pair
There are two parts in the procedure for subtracting signed integers:
7. Is equal to zero. 0 x a = 0
Zero multiplied by any value
rectangle
multiplier
y-axis
8. What is the perimeter of a Polygon?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
divisor
composite number
Multitudes and Magnitudes
9. Has no sign value
Zero (0)
To add integers that have opposite signs:
integers
62.5%
10. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
exactly the same portion
How the Last Digit Shortcut works
median
diameter
11. Total Sales or Revenue = ?
Unit Price x Qty. Sold
x-coordinate
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
integer or whole number
12. The horizontal number line of a coordinate graph
To add integers that have opposite signs:
x-axis
equal to itself.
Magnitude
13. The vertical number line of a coordinate graph
inverse operations
Inequality
Step 1 of Converting mixed numbers to improper fractions
y-axis
14. The exact procedure for adding signed integers depends upon
Adding negative integers will always produce a negative sum
Even
Even
whether the addends have the same sign or opposite signs
15. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
Greater
inverse
they have the same absolute value
16. Is the opposite of raising fractions to higher terms.
probability
The sum of all the integers from 20 to 100 - inclusive
Reducing fractions
The height of a triangle
17. Breaking down a composite number until all of the factors are prime
circumference
Adding negative integers will always produce a negative sum
pi
prime factorization
18. To make a fraction easier to work with by taking out common factors
Even
simplify
Odd
Computation
19. A mirror image of a figure shown over a line of reflection
trapezoid
acute angle
reflection
Multitudes and Magnitudes
20. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
square unit
Evaluating Powers With Negative Exponents
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
similar figures
21. Odd +/- ____ = Odd
sample
Odd
perimeter
Even
22. A polygon with six sides.
hexagon
factoring
Whole Numbers
Step 1 of Converting mixed numbers to improper fractions
23. No integer (except 1) that divides evenly into both the numerator and denominator.
referred to Unity in the same way
reduced fraction
enclosing the numbers in a pair of vertical lines | |
Even div. by 4
24. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
hexagon
Adding negative integers will always produce a negative sum
area
2 and/or 5 only
25. 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
Original x (1 - x/100) = New
Converting Improper Fractions to Mixed Numbers
Negative-value integers
Wage Rate ($ per hr) x Hrs worked
26. A quadrilateral with two pairs of congruent - parallel sides.
Proof
parallelogram
sum
Axiom IV.
27. In a group of values - the value that occurs most often.
Long Division
quadrilateral
Inequality
mode
28. A triangle with two equal sides and two equal angles
Adding negative integers will always produce a negative sum
mixed number
octagon
isosceles triangle
29. One of the four regions formed by the intersection of the axes of a coordinate graph
quadrant
vertex (vertices - plural)
To add integers that have opposite signs:
Species
30. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Line Segments
when there are explicit or implicit equations in the problem:
31. The method for indicating the power of a number
percent
A minus sign ( - ) is used for two entirely different purposes:
Power notation
1 and itself
32. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
Percent Decrease Formula
radius
area
Axiom V.
33. An angle that measures 90 degrees
right angle
Even or Non-Int
Non-Int
radius
34. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
rate
pi
Number
lowercase letters
35. The numerator is smaller than the denominator
proportion
unit ratio
Sum of Interior Angles of a Polygon: (n - 2) x 180
proper fraction
36. By the last letters (u - x - y - etc.)
Odd
Original x (1 - x/100) = New
Known quantities
1
37. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
When the addends have the same sign both + or both -
Axiom I.
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
order of operations
38. The smallest multiple that two or more numbers have in common
Odd
Odd
2
least common multiple (LCM)
39. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
x-coordinate
Unit Price x Qty. Sold
Long Division
40. The upper number in a fraction is the
product
equation
numerator
reflection
41. Unit Profit = ?
supplementary angles
Known quantities
Sale Price - Unit Cost
cross product
42. The number to be multiplied by is called the
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
mixed number
referred to the same Unit
multiplier
43. Species of Quantities are signified by
equal to itself.
Known quantities
parallelogram
lowercase letters
44. A polygon with five sides
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
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?
rate
pentagon
45. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
denominator
one is positive and the other is negative
supplementary angles
46. An angle measuring more than zero degrees and less than 90 degrees
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
acute angle
range
1 - (y/100)
47. A collection of things taken as a Unity. A bushel of wheat is a whole.
Multitude
Whole
putting that number over 1
equilateral triangle
48. What is the increment of a set of consecutive integers?
proportion
scalene triangle
1
the denominator of the original improper fraction
49. The result of muliplying two or more numbers
A = (Diagonal1 x Diagonal2) / 2
product
Zero (0)
Original + Change = New Change/Original = Percent Change
50. To indicate the addition operation- to indicate a positive integer value
Shift DP 2 places left
A plus sign (+) is used for two entirely different purposes:
prism
vertex (vertices - plural)