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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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 largest integer that can be divided evenly into both the numerator and denominator.
Relative multitude
Reducing by the Largest Common Factor (LCF)
Wage Rate ($ per hr) x Hrs worked
Sale Price - Unit Cost
2. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
mode
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
0
3. Is the disagreement of things in Quantity.
The height of a triangle
Proof
Inequality
lowercase letters
4. A polygon that has four sides
putting that number over 1
rectangle
quadrilateral
hexagon
5. 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
pentagon
Increases the value.
denominator
6. The difference between the least and greatest values in a set of numbers.
To square an equation to solve it
Axiom VI.
range
Axiom IX.
7. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
Quantity is expressed
percent
theorem
8. A ratio that shows the cost per unit of measure
unit ratio
Inequality
straight angle
angle
9. A parallelogram with four right angles
numerator
rectangle
equilateral triangle
complementary angle
10. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
Axiom VI.
quotient
Alternative to the algebraic manipulation method to solving a VIC
Same units
11. Always check the solutions you get in the original equation! Squaring both sides can actually introduce and extraneous solution.
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
inverse operations
sample
To square an equation to solve it
12. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
Change + - Original = New
hexagon
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
13. A Polygon is a closed shape formed by
median
supplementary angles
Line Segments
both integers are positive or both are negative
14. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
Odd
2
before solving
proper fraction
15. Indicates the number of times the base is to be multiplied
Carry the 10's digit of the product to the top of the 10's column of factors.
base
(Last - First + 1)
exponent
16. A quadrilateral with two pairs of congruent - parallel sides.
parallelogram
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Axiom VIII.
axiom
17. Species and Number may be
factors of the multiplication operation
Parts
Homogenous or Heterogenous
One... the number 2
18. Having the same value
2
before solving
equivalent
equation
19. The horizontal number line of a coordinate graph
x-axis
unit ratio
Long Division
To add integers that have opposite signs:
20. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
product
Greater
Quantity
Fractions allow you to plot values between whole numbers and integers.
21. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
Greater
When to use fractions
A plus sign (+) is used for two entirely different purposes:
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
22. The distance around a figure
perimeter
Odd
range
simplify
23. An angle measuring more than zero degrees and less than 90 degrees
y-axis
acute angle
mixed number
A sum of 2 primes is Odd
24. 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
mixed fraction
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
The sum of all the integers from 20 to 100 - inclusive
perimeter
25. All whole numbers (both positive and negative) and zero.
Absolute and Relative
Even and Odd
when there are explicit or implicit equations in the problem:
integers
26. 3 ways to solve an absolute value inequality
Magnitude
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
diameter
equal to itself.
27. 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.
proper fractions
improper fraction
octagon
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?
28. Change/Original = New
before solving
absolute value
product
Percent Change
29. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
proportion
mode
area
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
30. Expresses fractional parts that are greater than 1.
mixed number
Axiom III.
Quantity
Known (Given) and Unknown (Sought)
31. A polygon that has four sides.
quadrilateral
0.625
unit ratio
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
32. A polygon with five sides
isosceles triangle
Magnitude
equal to itself.
pentagon
33. An angle measuring more than 90 degrees and less than 180 degrees
denominator
obtuse angle
Increases the value.
Fractions allow you to plot values between whole numbers and integers.
34. Sale Price = ?
scale drawing
Magnitude at Rest and Magnitude in Motion
Unit Cost + Markup
y-axis
35. If a quantity is decreased by x percent - then what - in algebraic terms - is the new quantity as a percent of the original?
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36. A number that is not a prime number is called a
equivalent
Unit Price x Qty. Sold
composite number
(Last - First + 1)
37. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
Sum of Interior Angles of a Polygon: (n - 2) x 180
Step 1 of Converting Improper Fractions to Mixed Numbers
Odd
inverse operations
38. The result of multiplying two or more numbers.
Proof
lowercase Variables
product
acute angle
39. Total Earnings ($) = ?
Some integer/Some Power of 10
Quantity is expressed
Wage Rate ($ per hr) x Hrs worked
area
40. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Subtracting Signed Integers
complementary angle
squared
Converting Improper Fractions to Mixed Numbers
41. Always perform the operations
unit ratio
reduced fraction
supplementary angles
from left to right
42. Once we have an equation of the form |x| = a - and x>0 - what do we know about x ?
dividing the numerator and denominator by the same number
x = (+-) a
inverse
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
43. The two kinds of parts
y-axis
Axiom VII.
composite number
Aliquot and Aliquant Parts
44. 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.
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Converting mixed numbers to improper fractions.
reciprocal
radius
45. Any whole number can be expressed in terms of the
quadrilateral
Power notation
To add integers that have opposite signs:
product
46. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
hexagon
Axiom VI.
Axiom IX.
prism
47. .625 --> Percent?
parallel lines
62.5%
Subtracting Signed Integers
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
48. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Odd
Converting mixed numbers to improper fractions.
Long Division
To find out - easily - if one fraction is bigger than another
49. In a division problem - it's the number being divided
Even
referred to the same Unit
Even
dividend
50. What is the only Even prime number?
2
When you are absolutely sure the variable or expression <> 0
absolute value
Line Segments
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