GMAT Exam Prep Graded A+ (Verified)
Basic Grammar Rules for Sentence Correction Portion - ANSWER-1. Agreement:
-non-verb agreement: singular subjects w singular verbs, plural w plural. I walk to the
store not I walks to the store.
-pronoun agreement: pronoun must agree w/ noun/pronoun it refers to in person,
number, and gender. When you dream, you are usually asleep, not when one dreams,
you are usually asleep.
2. Diction:
-among vs between: among refers to relationships involving >2 objects. Between is for
relationships with only 2 objects.
-as vs like: As can be a preposition meaning "in capacity of" or can be a conjunction of
manner followed by a verb. Like is used as a preposition, and should be followed by a
noun, object pronoun, or verb ending in -ing.
-mass and count words: mass words are nouns quantified by an amount rather than a
number. Count words are nouns quantified by a number.
-pronouns: myself shouldn't substitute I or me.
3. Grammatical Construction:
-fragments: parts of a sentence disconnected from the main clause.
-run-on sentences: two independent clauses that run together without proper
punctuation.
-constructions: wordy and redundant.
4. Idiom: Nonstandard expressions should be avoided, although English idioms don't
always follow conventional grammatical rules. Be sure to use the correct idiom when
using the constructions and parts of speech.
-Prepositions: specific prepositions have specific purposes jog in the morning vs jog on
the morning.
-Correlatives: word combos such as "not only... but also" should be followed by an
element of the same grammatical type.
-Forms of comparison: fewer refers to a specific number, whereas less than refers to a
continuous quantity. Between... and is the correct for to designate a choice. Farther is
for distance, further refers to degree.
5. Logical Predication: phrases detracting from the logical argument.
-modification problems: modifiers should be pos
Circles - ANSWER-A circle is a set of points in a plane that are all located the same
distance from a fixed point (the center). A chord of a circle is a line segment that has its
endpoints on the circle. A chord that passes through the center of the circle is the
diameter of the circle. A radius is a segment from the center of the circle to a point on
the circle.
, The circumference of a circle is the distance around it. If r is the radius, the
circumference is (2pi)r. Where pi is approximately 3.14.
The area of a circle of radius r is pi(r^2).
The number of degrees in a circle is 360. Arcs are x/360 of the circumference of the
circle.
A line that has one point in common to the circle is tangent to the circle. A
radius/diamater with an endpoint at the point of tangency is perpendicular to the tangent
line.
If each vertex of a polygon lies on a circle, the polygon is inscribed in the circle and
circle is circumscribed about the polygon. If each side of a polygon is tangent to a circle,
then the polygon is circumscribed about the circle and the circle is inscribed in the
polygon. If a triangle is inscribed in a circle so that one of its sides is a diameter of the
circle, the triangle is a right triangle.
Coordinate Geometry - ANSWER-One way to find the distance between two points in
the coordinate plane is to the the pythagorean theorem.
In y=mx+b, m is the slope and b is the y-intercept. The slope is the difference in the y-
coordinates/difference in the x-coordinates.
The x-intercept can be found by setting y=0 and solving for x.
Can use the slope to find the equation with the formula y-y1 = m(x-x1) by plugging in
one of the points used to calculate the slope.
If the slope is 0 the line is horizontal and the equation is y=b. For a vertical line slope is
undefined and the equation is x=a, where a is the x-intercept.
For two linear equations with two unknowns, the lins will intersect is there is one
solution, will be the same if there are infinetely many solutions, and will be parallel if
there is no solution.
Functions can be expressed as y= the function, where y is equated with the value of the
function. They can also be expressed as f(x)=y, where any x in the domain of the
function f is the point (x, f(x)), which will be on the graph of f. The graph of a quadratic
function is a parabola. The roots of the quadratic equation will be the x-intercepts on the
graph, and the value of f(0) will be the y-intecept.
Counting Methods - ANSWER-Can count objects and sets of objects without listing the
elements to be counted with the multiplication principle: If an object is to be chosen from
a set of m objects and a second object is to be chosen from a set of n objects, there are
mn ways of choosing both objects simultaneously.
Basic Grammar Rules for Sentence Correction Portion - ANSWER-1. Agreement:
-non-verb agreement: singular subjects w singular verbs, plural w plural. I walk to the
store not I walks to the store.
-pronoun agreement: pronoun must agree w/ noun/pronoun it refers to in person,
number, and gender. When you dream, you are usually asleep, not when one dreams,
you are usually asleep.
2. Diction:
-among vs between: among refers to relationships involving >2 objects. Between is for
relationships with only 2 objects.
-as vs like: As can be a preposition meaning "in capacity of" or can be a conjunction of
manner followed by a verb. Like is used as a preposition, and should be followed by a
noun, object pronoun, or verb ending in -ing.
-mass and count words: mass words are nouns quantified by an amount rather than a
number. Count words are nouns quantified by a number.
-pronouns: myself shouldn't substitute I or me.
3. Grammatical Construction:
-fragments: parts of a sentence disconnected from the main clause.
-run-on sentences: two independent clauses that run together without proper
punctuation.
-constructions: wordy and redundant.
4. Idiom: Nonstandard expressions should be avoided, although English idioms don't
always follow conventional grammatical rules. Be sure to use the correct idiom when
using the constructions and parts of speech.
-Prepositions: specific prepositions have specific purposes jog in the morning vs jog on
the morning.
-Correlatives: word combos such as "not only... but also" should be followed by an
element of the same grammatical type.
-Forms of comparison: fewer refers to a specific number, whereas less than refers to a
continuous quantity. Between... and is the correct for to designate a choice. Farther is
for distance, further refers to degree.
5. Logical Predication: phrases detracting from the logical argument.
-modification problems: modifiers should be pos
Circles - ANSWER-A circle is a set of points in a plane that are all located the same
distance from a fixed point (the center). A chord of a circle is a line segment that has its
endpoints on the circle. A chord that passes through the center of the circle is the
diameter of the circle. A radius is a segment from the center of the circle to a point on
the circle.
, The circumference of a circle is the distance around it. If r is the radius, the
circumference is (2pi)r. Where pi is approximately 3.14.
The area of a circle of radius r is pi(r^2).
The number of degrees in a circle is 360. Arcs are x/360 of the circumference of the
circle.
A line that has one point in common to the circle is tangent to the circle. A
radius/diamater with an endpoint at the point of tangency is perpendicular to the tangent
line.
If each vertex of a polygon lies on a circle, the polygon is inscribed in the circle and
circle is circumscribed about the polygon. If each side of a polygon is tangent to a circle,
then the polygon is circumscribed about the circle and the circle is inscribed in the
polygon. If a triangle is inscribed in a circle so that one of its sides is a diameter of the
circle, the triangle is a right triangle.
Coordinate Geometry - ANSWER-One way to find the distance between two points in
the coordinate plane is to the the pythagorean theorem.
In y=mx+b, m is the slope and b is the y-intercept. The slope is the difference in the y-
coordinates/difference in the x-coordinates.
The x-intercept can be found by setting y=0 and solving for x.
Can use the slope to find the equation with the formula y-y1 = m(x-x1) by plugging in
one of the points used to calculate the slope.
If the slope is 0 the line is horizontal and the equation is y=b. For a vertical line slope is
undefined and the equation is x=a, where a is the x-intercept.
For two linear equations with two unknowns, the lins will intersect is there is one
solution, will be the same if there are infinetely many solutions, and will be parallel if
there is no solution.
Functions can be expressed as y= the function, where y is equated with the value of the
function. They can also be expressed as f(x)=y, where any x in the domain of the
function f is the point (x, f(x)), which will be on the graph of f. The graph of a quadratic
function is a parabola. The roots of the quadratic equation will be the x-intercepts on the
graph, and the value of f(0) will be the y-intecept.
Counting Methods - ANSWER-Can count objects and sets of objects without listing the
elements to be counted with the multiplication principle: If an object is to be chosen from
a set of m objects and a second object is to be chosen from a set of n objects, there are
mn ways of choosing both objects simultaneously.
