How to make a GRE Study Plan for High GRE Score

Week 1-4: Brushing concepts and review tests on each topic

 Arithmetic

Classification of Numbers –  Number types and the number line; types of integers – prime numbers, odd and even integers and their properties; properties of integers such as divisibility, factorization, remainders; methods to find least common multiple (LCM) and highest common factor (HCF or GCD); prime factorization; arithmetic operations, absolute value, exponents and roots.

Fractions, Decimals, and Percentages – Types of fractions – proper, improper, and mixed; operation on fractions, converting fractions to percentages and vice versa, estimation, rate; decimal representation

Ratios and Proportions – Ratios – Definition and their properties

Sequences – Sequences of numbers, arithmetic and geometric sequence

 Algebra

Algebraic Expressions – setting up equations to solve word problems- how to convert statements to expressions; factoring and simplifying algebraic expressions

Functions – Functions and relations

Linear Inequalities – Solving linear inequalities; solving simultaneous inequalities

Linear and Quadratic Equations – Solving linear and quadratic equations – Factorizing equations; solving simultaneous equations

Rules of Exponents – Operations with exponents – Important rules

 Geometry

Basic Geometry –  Basic definitions – point, angle and angle measurement in degrees, line, and line segment; types of lines – parallel and perpendicular lines,  types of angles – acute, obtuse, and right angle; supplementary and complementary angles; angle bisector, altitude, and perpendicular bisector; angles formed by parallel and transversal lines

Triangles – Isosceles, equilateral, and right angled triangles; types of right triangles – 30°-60°-90° triangles, 45°-45°-90° triangles; Pythagorean theorem; congruent and similar figures; important properties of triangles

Circles – Basic definitions – radius, diameter, chord, secant, and tangent of a circle; chord properties, secant properties, and tangent properties

Polygons – Types of quadrilaterals – square, rectangle, rhombus, parallelogram, and trapezium; their properties

Co-ordinate Geometry 1 – Co-ordinate axis (xy-plane) – basic definitions; how to graph line equation, intercepts and slopes of lines; types of line equations;

Co-ordinate Geometry 2 –  including graphs of functions; circle and parabolic equations

Shaded Area –  area, perimeter of two-dimensional figures

Solid Geometry – three-dimensional figures; volume, surface area of three-dimensional figures

Data Analysis

Permutation and Combination – counting methods – addition and multiplication principle; combination – formula to find the number of ways to choose ‘r’ objects out ‘n’ distinct objects (nCr) , permutations – formula to find the number of ways to arrange ‘r’ objects out ‘n’ distinct objects (nPr), with and without repetition of objects

Probability – Basic definitions – experiment, outcome, sample space, and event; random variables; types of events – independent, mutually exclusive, sure event; elementary probability such as probabilities of compound events and independent events, conditional probability; odds

Statistics –  include basic descriptive statistics, such as mean, median, mode, range, standard deviation, interquartile range, quartiles and percentiles; box and whisker plot

Probability Distribution –  random variables and frequency distributions, histograms; probability distributions; Discrete probability distribution; Continuous probability distribution – normal distributions

Data Interpretation

Interpretation of data in tables and graphs such as line graphs, bar graphs, pie-charts, and scatter plots

Applied Mathematics

The topic contains several examples applying the above concepts to solve real life word problems. The problems include,

Profit and Loss

Mixtures

Speed

Word Problems on Ages

Venn Diagram

Work and Efficiency

Week 5-7: Advanced practice – solve difficult problems on each topic. Objective: Master questions of higher difficulty level.

•  You can also use this time to pay more attention to specific topics that you find a bit difficult
•  If you’re running short of time, make sure you complete topics in Arithmetic, Algebra, Geometry and DI in the first 4 weeks. Applied maths can be done in this period

Week 8-10: Developing Time Management Strategy

•  Take mock GRE style Quant tests that contain questions from various topics as like real GRE
•  Start developing your timing strategy
•  Also use this week to practice more questions of the type that you find difficult based on your performance in the test

Week 11-12: Developing mental and physical stamina for the 4 hour GRE test

•  Take Full Length GRE style tests that contains all the 3 sections – AWA, Verbal, and Quant
•  Also use this week to practice/revise topics that you find difficult

Week 1-4: Brushing concepts and review tests on each topic

•  If you feel discomfort in studying maths on your own, you may avail mentoring/tutoring from a Quant Expert to accelerate your preparation and boost your confidence
•  You can solve difficult questions in Arithmetic – Algebra, Basic geometry. You can solve medium difficulty level problems in DI and DA and solve basic problems in Applied Mathematics

 Arithmetic

Classification of Numbers –  Number types and the number line; types of integers – prime numbers, odd and even integers and their properties; properties of integers such as divisibility, factorization, remainders; methods to find least common multiple (LCM) and highest common factor (HCF or GCD); prime factorization; arithmetic operations, absolute value, exponents and roots.

Fractions, Decimals, and Percentages – Types of fractions – proper, improper, and mixed; operation on fractions, converting fractions to percentages and vice versa, estimation, rate; decimal representation

Ratios and Proportions – Ratios – Definition and their properties

Sequences – Sequences of numbers, arithmetic and geometric sequence

 Algebra

Algebraic Expressions – setting up equations to solve word problems- how to convert statements to expressions; factoring and simplifying algebraic expressions

Functions – Functions and relations

Linear Inequalities – Solving linear inequalities; solving simultaneous inequalities

Linear and Quadratic Equations – Solving linear and quadratic equations – Factorizing equations; solving simultaneous equations

Rules of Exponents – Operations with exponents – Important rules

 Geometry

Basic Geometry –  Basic definitions – point, angle and angle measurement in degrees, line and line segment; types of lines – parallel and perpendicular lines,  types of angles – acute, obtuse, and right angle; supplementary and complementary angles; angle bisector, altitude, and perpendicular bisector; angles formed by parallel and transversal lines

Triangles – Isosceles, equilateral, and right angled triangles; types of right triangles – 30°-60°-90° triangles, 45°-45°-90° triangles; Pythagorean theorem; congruent and similar figures; important properties of triangles

Circles – Basic definitions – radius, diameter, chord, secant, and tangent of a circle; chord properties, secant properties, and tangent properties

Polygons – Types of quadrilaterals – square, rectangle, rhombus, parallelogram, and trapezium; their properties

Co-ordinate Geometry 1 – Co-ordinate axis (xy-plane) – basic definitions; how to graph line equation, intercepts and slopes of lines; types of line equations;

Co-ordinate Geometry 2 –  including graphs of functions; circle and parabolic equations.

Shaded Area –  area, perimeter of two-dimensional figures

Solid Geometry – three-dimensional figures; volume, surface area of three-dimensional figures

You can avoid tough geometry topics such as solid geometry and lead to solve questions of medium difficulty level for topics that you find difficult.

 Data Analysis

Permutation and Combination – counting methods – addition and multiplication principle; combination – formula to find the number of ways to choose ‘r’ objects out ‘n’ distinct objects (nCr) , permutations – formula to find the number of ways to arrange ‘r’ objects out ‘n’ distinct objects (nPr), with and without repetition of objects

Probability – Basic definitions – experiment, outcome, sample space, and event; random variables; types of events – independent, mutually exclusive, sure event; elementary probability such as probabilities of compound events and independent events, conditional probability; odds

Statistics –  include basic descriptive statistics, such as mean, median, mode, range, standard deviation, interquartile range, quartiles and percentiles; box and whisker plot

Probability Distribution –  random variables and frequency distributions, histograms; probability distributions; Discrete probability distribution; Continuous probability distribution – normal distributions

If you are not very confident of this topic, you can just practice easy and medium difficulty level questions on this topic.

 Data Interpretation

Interpretation of data in tables and graphs such as line graphs, bar graphs, pie-charts, and scatter plots

 Applied Mathematics

The topic contains several examples applying the above concepts to solve real life word problems. The problems include,

Profit and Loss

Mixtures

Speed

Word Problems on Ages

Venn Diagram

Work and Efficiency

If you are not very confident of  topics in this category, you can just practice easy and medium difficulty level questions on that topic.

Week 5-7: Advanced practice – solve difficult problems on each topic

•  Objective : Master questions of higher difficulty level
•  You can also use this time to pay more attention to specific topics that you find a bit difficult
•  If you’re running short of time, make sure you complete topics in Arithmetic, Algebra, Geometry and DI in the first 4 weeks. Applied Maths can be done in this period

Week 8-10: Developing Time Management Strategy

•  Take mock GRE style Quant tests that contain questions from various topics like GRE
•  Start developing your timing strategy
•  Also use this week to practice more questions of the type that you find difficult based on your performance in the test

Week 11-12: Developing mental and physical stamina for the 4 hour GRE test. Take Full Length GRE style tests that contains all the 3 sections – AWA, Verbal, and Quant. Also use this week to practice/revise topics that you find difficult.