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Nearly
one half of the 37 questions in math section are
problem solving. These questions test your ability
to solve questions in the quantitative setting.
The problems are drawn from almost all areas of
basic math- viz. number theory, algebra, geometry,
sets, probability and elementary statistics. |
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Problem
solving questions are designed to test your ability
to analyze given data, recognize relationships,
apply formulae, equation or theorem, formulate
a strategy, devise a plan of action, test a hypothesis
and the like. |
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Though it
is obvious that every GMAT test taker ought to
review the basic chapters in arithmetic, algebra
and geometry, such conceptual level knowledge
alone is not sufficient. A high score in the math
section necessitates the ability to apply these |
concepts in problems presented in many formats
and a set of thinking skills and mathematical
tools to facilitate speed and accuracy.
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L3 methods
to script your success |
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Think
of a sandwich with no filling! Bland slices of
bread. And fill it with something yummy and see
the difference!
Semantics GMAT math course has that zing to it-
a cumulative 3 layered course delivery.
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Layer 1
Exhaustive coverage of
math fundamentals in easy to follow presentation
– concept analysis, illustrations
and ‘guided problem solving’ exercises.
Layer 2
Science of thinking* –
thinking skills intervention module to build
your mathematical reasoning skills; this is
followed by solution- free problem solving to
focus on the thinking processes than on a solution.
Layer 3
The strategic problem
solving stage – optimum use of
mathematical tools, thinking skills and - choosing
and using these strategically to ready you for
both the problem solving and the data sufficiency
sections of GMAT.
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In the first
layer you will learn the various concepts in mathematics
through easy to follow presentation of content.
This will comprise analysis of the concept, and
discussion with illustrative problems.
A special feature of this layer
is the GUIDED PROBLEM SOLVING EXERCISES,
in which you are given hints and cues to solve
the problem, ensuring that the transition to the
next level is smooth.
Illustration of
guided problem solving
Problem
The price
of rice has increased by 30%. By what percent
should a house wife reduce consumption so as to
not to increase her total expenditure on rice?
How to solve the
problem
The relationship between the variables is
Price x consumption = Expenses
Assume the initial consumption as 100kg and price
Rs.10/kg
Calculate the total expenditure, variable change
Calculate the new price
Let the new consumption = x kgs
Fill the table
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Price(Rs/kg) |
Consumption(kg) |
Expense (Rs) |
| Initial values |
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| New values |
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Calculate the percentage difference between the
initial expense and the new expense.
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Demonstration
of a problem
A man wishes
to cross a river whose width is 40 m. If the man
has to reach the exactly opposite point in 2 sec,
what should be the speed at which I must swim
given that the river is flowing at 4.5 m/s?
1.19.5 m/s 2.20
m/s 3.20.5 m/s 4.22
m/s
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First
convert the problem from a verbal question into
a spatial one.
Then focus on the motion of the man and
let the river be stationary The man has to travel
40 m along the breadth of the river in 2 sec.
So my minimum speed would be 20 m/s.Now focus
on
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the motion of the river keeping the man stationary.
The river pushes the man at a speed of 4.5 m/s
for 2 sec. So the distance Travelled is 9 m. Now
by applying Pythagoras theorem the problem can
be solved. |
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Thinking skill - GOAL
SETTING
Mathematic
tool - contextual derivation
First step
in solving this problem is to understand the concept.
The concept is probability
| Probability
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Now calculate total number
of outcomes:
10 people can have their birthday
on any day in the month of April which has 30
days.
Each person can have 30 different days on which
his birthday falls.
Therefore total number of outcomes = 30 x 30 x
30 x30.......ten times = 3010
Second :
calculate the probability that atleast
2 people will have the birthday on the same day
The required probability = P(2
people having their birthday on the same day)
+
P(3 people having their birthday on the same day)
+
P(4 people having their birthday on the same day)
+
………… P( 10 people having
their birthday on the same day)
Instead of calculating for each
of the probabilities we can calculate
The require probability = maximum probability
- P(1person having his birthday on the same day)
= 1 - P(1)
Third :
calculate P(1)
P(1)= each person has one unique birthday
Ten people have ten unique birthdays
Ten days have to be selected from 30. This can
be performed using combination = 30C10
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30C10 |
| 3010 |
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 Easy
to follow breakdown of concepts
Practice drills using unique guided problem solving
Brainstorming problems for solution free problem solving
(a brilliant approach to data sufficiency)
End of chapter progress assessment test and remedial
plan
Well -illustrated content
Most
probable list- GMAT special high potential areas, approaches
and discussion
Question banks- topicwise
Demo of science of thinking on original GMAT questions
100% relevance- content and methodology
High score module- probability, coordinate geometry,
elementary statistics
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Statement
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