This file contains slides from each lesson of session 3 ... · You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether

This file contains slides from each lesson of session 3.

The file includes lesson agendas, teaching points, MPrep-written

problems, and (where applicable) the full list of Official Guide (OG)

problem numbers* for that problem type or content area.

The slides do not include the text of OG problems used in class

because teachers customize each lesson to fit class needs.

*Note: The OG problem numbers listed in this file are not your homework

assignments; they are an extra resource. First, follow the homework assignments

listed in your syllabus. If you do want extra practice in any area, then the OG

problem set lists at the end of each lesson in this file will provide you with the full set

of OG problem numbers relevant to that lesson.

Fractions, Decimals, & Percents

Strategies

Quant FDP Strategies

3

Ratios

Smart Numbers

You’ll learn how to...

employ the unknown multiplier

to solve ratios

choose smart numbers

(A) 2 to 3

(B) 2 to 5

(C) 3 to 10

(D) 3 to 2

(E) 10 to 3

The ratio of apples to bananas in a basket is 3 to 5. If the ratio of bananas to

cherries in the same basket is 1 to 2, what is the ratio of apples to cherries?

MPrep

(A) 2 to 3

(B) 2 to 5

(C) 3 to 10

(D) 3 to 2

(E) 10 to 3

The ratio of apples to bananas in a basket is 3 to 5. If the ratio of bananas to

cherries in the same basket is 1 to 2, what is the ratio of apples to cherries?

MPrep

C

Apples : Cherries

??

Apples : Bananas Bananas : Cherries

3 5 : 1 2 :

Apples : Bananas : Cherries

3 5 10

Apples : Cherries

3 to 10

5 10 :

× 5 × 5 :

(A) 15

(B) 20

(C) 25

(D) 30

(E) 35

The ratio of boys to girls in a class is 3 to 5. If 2 boys are added to the

class and 6 girls leave the class, the new ratio of boys to girls is 5 to 6.

How many girls were in the class to begin with?

MPrep

(A) 15

(B) 20

(C) 25

(D) 30

(E) 35



How many girls were in the class to begin with?

MPrep

D

Unknown

Multiplier b = number of boys

g = number of girls

3x

Before After

Boys

Girls 5x

3x + 2

5x – 6

= 3x

= 5x

18x + 12 = 25x – 30

42 = 7x

6 = x

6(3x + 2) = 5(5x – 6)

g = 5(6) = 30

3x + 2

5x - 6 =

5

6

DON’T FORGET TO

Plug in the Multiplier!


3

Ratios

Smart Numbers

A used-book seller purchased 50 copies of a book for a total of m euros.

She then sold each book for 25 percent more than her original per-book

purchase price. In terms of m, for how many euros did she sell each

book?

MPrep

(A)

(B)

(C)

(D) 125m

(E)

m

4

5m

4

125

2m

m

40




book?

MPrep

Sold at 25% mark-up…

Original Price = p =

m

50

New Price = 1.25p = = 5

4p

5

4

m

50

æ

èç

ö

ø÷ =

m

40

C

(A)

(B)

(C)

(D) 125m

(E)

m

4

5m

4

125

2m

m

40

Total Cost = Price × Qty

m = p × 50 m = total cost

p = price per book

(A)

(B)

(C)

(D) 125m

(E)




book?

MPrep

m

4

5m

4

125

2m

m

40

Total Cost = Price × Qty

m = p × 50 m = total cost

p = price per book

Smart Numbers

Plug in m = $100

Target = $2.50

= 100

= $2

= $2.50

≠ $2.50

≠ $2.50

≠ $2.50

≠ $2.50

Sold at 25% mark-up…

$2

$2.50

Original Price =

New Price =

C


3

Ratios

Smart Numbers

• When & how to use

• When not to use

Optional Slides Optional Slides

(A) 16

(B) 18

(C) 30

(D) 32

(E) 48



How many total students were in the class to begin with?

MPrep

(A) 16

(B) 18

(C) 30

(D) 32

(E) 48



How many total students were in the class to begin with?

MPrep

E

Unknown

Multiplier b = number of boys

g = number of girls

3x

Before After

Boys

Girls 5x

3x + 2

5x – 6

= 3x

= 5x

18x + 12 = 25x – 30

42 = 7x

6 = x

6(3x + 2) = 5(5x – 6)

T = 8(6) = 48

3x + 2

5x - 6 =

5

6

DON’T FORGET TO

Plug in the Multiplier!

T = total students = 8x

Quant FDP Strategies: Official Guide Problems

3

The following slides contain lists of all Official Guide problems covered under the

Fractions, Decimals, and Percents topic.

To best make use of your Official Guide problems, we recommend tracking your

work in our GMAT Navigator tool. You will be able to record the time you spent on

each problem, the answer you chose, whether you guessed, and whether you want

to redo the problem in the future. Additionally, we have provided our own

explanations of the best way to do most of the Fractions, Decimals, and Percents

Problem Solving and Data Sufficiency problems from The Official Guide for GMAT

Review, 2017.

Quant FDPs: Problem Solving

3

This set is from The Official Guide for GMAT Review 2017 edition (pgs. 20−23 & 150−184).

Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The

Official Guide for GMAT Review 2017 edition (pgs. 20−23).

FDPs

OG 2017: 9, 27, 89, 116

Digits & Decimals

OG 2017: 28, 77, 87, 118, 128, 182, 185, 188, 196, 198, 218, 224, D01

Fractions

OG 2017: 2, 3, 25, 41, 50, 52, 53, 55, 69, 76, 113, 135, 147, 151, 189, 220, D08

Percents

OG 2017: 1, 7, 12, 15, 30, 34, 36, 60, 68, 72, 73, 75, 79, 91, 102, 112, 117, 133, 153, 156, 165,

176, 181, 202, 205, 210, D12, D21

Ratios

OG 2017: 23, 32, 35, 64, 86, 115, 136, 144, 167

Quant FDPs: Data Sufficiency

3

This set is from The Official Guide for GMAT Review 2017 edition (pgs 25−26 & 275−291).

Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter of The

Official Guide for GMAT Review 2017 edition (pgs 25−26).

FDPs

OG 2017: 268, 298, 303

Digits & Decimals

OG 2017: 269, 277, 319, 337, 343, 387, 398, 403, D25

Fractions

OG 2017: 234, 386

Percents

OG 2017: 239, 250, 253, 258, 263, 276, 290, 306, 308, 311, 318, 325, 339, 351, 382, 395, D40

Ratios

OG 2017: 256, 264, 265, 295, 312, 320, 359, 371, 402

Sentence Correction

Modifiers

Sentence Correction Modifiers

3

Location and Meaning

What kinds of modifiers are

there?


recognize modifier markers

identify meaning errors related

to modifiers

fix misplaced or messed up

modifiers


3


What kinds of modifiers are there?

Types of Modifiers

• describe nouns

• placed as close to the noun as possible

• describe verbs, other modifiers, whole clauses

• more flexible; should point clearly to a certain action or clause

Noun Modifiers

Adverbial Modifiers

Adjective

Adverb The dog barked happily.

The happy dog started barking.

Common Modifier Forms

The dog on the sidewalk is our neighbor's.

Our neighbor's dog ran on the sidewalk. prepositions

The dog carried by its owner is sleeping.

The dog slept soundly, exhausted by the run. -ed words

The dog running over there seems healthy.

The dog barked loudly, startling a flock of birds. -ing words

The dog, an example of pure breeding, has won prizes. noun, noun

Common Modifier Forms

prepositions The dog on the sidewalk is our neighbor's.

Our neighbor's dog ran on the sidewalk.

-ed words The dog carried by its owner is sleeping.

The dog slept soundly, exhausted by the run.

noun, noun The dog, an example of pure breeding, has won prizes.

Modify Nouns

Modify Other Things

The dog running over there seems healthy.

The dog barked loudly, startling a flock of birds. -ing words

The Relative Pronouns

That

which that

who when

whom where etc.

That

Only modify nouns!

Which The dog, which weighs 40 pounds, is friendly.

The dog that my brother owns is friendly.

-ing Words

, -ing

adverbial

-ing

noun

Can modify nouns or clauses!

Arya slipped on the ice, twisting her ankle.

The rope twisting around the pole is hopelessly

tangled up.

Modifier Markers

Marker What does it modify? Example

Opening modifier, the main noun that

follows the comma

Published in New York, the Wall Street

Journal...

noun + that the preceding main noun …books that continue to be read today.

noun, which the preceding main noun ...the car, which belongs to my sister, …

noun, [where, who,

whose, when] the preceding main noun ...the country, whose flag…

noun + –ing the preceding main noun …the sharks circling the boat...

… , –ing modifies the whole clause

cannot modify just a noun

The earthquake caused widespread structural

damage, affecting buildings in a 350-mile

radius.

Modifier Markers

Marker What does it modify? Example

Opening modifier, the main noun that

follows the comma

Published in New York, the Wall Street

Journal...

noun + that the preceding main noun …books that continue to be read today.

noun, which the preceding main noun ...the car, which belongs to my sister, …

noun, [where, who,

whose, when] the preceding main noun ...the country, whose flag…

noun + –ing the preceding main noun …the sharks circling the boat...

… , –ing modifies the whole clause

cannot modify just a noun

The earthquake caused widespread structural

damage, affecting buildings in a 350-mile

radius.


3


What kinds of modifiers are there?

• Noun Modifiers

• Adverbial Modifiers

(1) The disgruntled cows kicked out at the sheep, knocking over the milk bucket.

(2) The disgruntled cows kicked over the bucket, outnumbering all other animals.

• Sentence (1) is correct, but sentence (2) is not correct


• Both sentences are correct

• Neither sentence is correct

(1) The disgruntled cows kicked out at the sheep, knocking over the milk bucket.

(2) The disgruntled cows kicked over the bucket, outnumbering all other animals.



• Both sentences are correct

• Neither sentence is correct


Sentence Correction Modifiers: Official Guide Problems

3

The following slides contain lists of all Official Guide problems covered under the

Modifiers topic.





explanations of the best way to do most of the Sentence Correction problems from

The Official Guide for GMAT Review, 2017.

Sentence Correction Modifiers: Official Guide Problems

3

This set is from The Official Guide for GMAT Review (2017 edition) (pgs. 39−43 &

682−710).

Note: Problem Numbers preceded by “D” refer to questions in the Diagnostic Test chapter

of The Official Guide for GMAT Review (2017 edition) (pgs. 39−43).

Modifiers

OG 2017: 676, 677, 682, 693, 695, 703, 704, 707, 711, 714, 716, 717, 718, 730, 733, 737,

739, 740, 744, 746, 752, 754, 778, 780, 784, 787, 791, 794, 797, D88, D92, D97

If you’d like, you can start to try the SC problems below, based on Meaning. You may want

to save the harder (higher-numbered) ones for later in your studies.

Meaning

OG 2017: 671, 699, 700, 710, 713, 719, 726, 772, 774, 793, 798

Reading Comprehension

The Details

RC Lesson Plan

1 How to Read

2 Detail Questions

3 Challenging RC

Today's lesson

Reading Comprehension Detail Questions

2


apply the 4-step RC process

tackle different types of detail questions

How to Read

3 Goals

What is the basic message?

What is the purpose of each

paragraph?

What is the author's

Main Point?

• context

• contrasts or disagreements

• changes in direction

RC: 4-Step Process

1 Identify the question

2 Find the support

3 Predict an answer

4 Eliminate and find a match

What's the Point

L: W gained & lost power

B: doesn't say

L: W gained power in private

but lost in public

B: doesn't go to this level

Just Right Too Generic Too Specific Just Right Too Generic Too Specific


2




Specific Detail Questions

Typical language:

The information is in the passage – find it!

According to the passage…

The passage mentions…

What is an Inference?

Fact:

Chocolate ice cream is my

favorite.

What else must be true?

What is an Inference?

Inference:

I don't like vanilla ice

cream more.

Reword / flip it over

Fact:

Chocolate ice cream is my

favorite.

What else must be true?

Inference

fact you can safely draw

without making assumptions

Inference Questions

Deduce something that must be true from the

information in the passage

It can be inferred from the passage…

The passage suggests…

The passage implies…

Typical language:


2





Specific Purpose Questions: Why?

Why / for what purpose does the author mention this

particular detail?

in order to…

Typical language:

Reading Comprehension Official Guide Problems

3

It’s time to test your skills on passages that have actually appeared on real GMAT

exams in the past. You can find passages in The Official Guide for GMAT Review

(2017 Edition) (pages 27–32 & 368–424).





explanations of the best way to do some of the Reading Comprehension problems

from The Official Guide for GMAT Review, 2017.

Reading Comprehension Official Guide Problems

3

Do one passage at a time, or build a mixed set that includes Sentence Correction and Critical Reasoning

problems. Here’s how to get the most out of each passage:

1. Give yourself approximately 2 to 2.5 minutes to read shorter passages and 3 minutes to read longer ones.

Spend about 60 seconds to answer General questions and about 90 seconds to answer Specific ones.

2. On the real test, you will see only one question at a time, so don’t look at all questions before reading the

passage.

3. As you read the passage, tell yourself the Simple Story. By the time you’re done, make sure that you can

articulate the Point and that you have a rough Map of the passage, either on paper or in your brain.

4. If the passage has more than 4 questions, answer only the odd-numbered questions. You’ll do this

passage again sometime in the future; the next time, you’ll answer the even-numbered questions. (The

real test does not give more than 4 questions per passage.)

5. Follow your four-step process for answering questions.

(1) Identify the Question

(2) Find the Support

(3) Predict an Answer

(4) Eliminate and Find a Match

6. To keep it simple, use these guidelines when studying from OG books:

Shorter passage, 3 questions about 6 minutes

Shorter passage, 4 questions

or

Longer passage, 3 questions

about 7 minutes

Longer passage, 4 questions about 8 minutes

Documents

This file contains slides from each lesson of session 3 ... · You will be able to record the time you spent on each problem, the answer you chose, whether you guessed, and whether