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Friday, 13 June 2014

Test Day Tip: Mental Math Warm-Up | Manhattan Prep GRE Blog

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Test Day <b>Tip</b>: Mental <b>Math</b> Warm-Up | Manhattan Prep GRE Blog


Test Day <b>Tip</b>: Mental <b>Math</b> Warm-Up | Manhattan Prep GRE Blog

Posted: 26 Jan 2012 02:21 PM PST

Come GRE test day, there isn't much left to do in the way of studying. Cramming new material on the day of your exam is stressful and won't give you much of a positive return on time invested. However, there are some things that you can do on test day to further your GRE success. One thing that I found very useful when I took my GRE was performing a math warm-up.

The day before your test, pick out a few questions (five or so should suffice) from your study materials. These shouldn't be the toughest problems in the book, just regular problems that you have confidently solved before. They should require some critical thinking and calculation, but shouldn't be problems that give you fits " you don't want extremely taxing problems that will trip you up and make you second guess yourself. Flag the questions, and their answers, in your book for the next morning.

On the morning of your test before leaving for the testing center, solve the problems; this will act as a simple jump-start for your brain. Your mind will click into the mode where it looks for GRE clues in word problems. With a few calculations under your belt, will become more able to add, subtract, and multiply simple numbers without writing the operations out on your paper. After a few questions, you will have kicked the rust off of your synapses and boosted your confidence.

This might sound silly, but believe me, it will help. If any of you do the KenKen puzzles in your morning newspapers, you should know why. Unless you are an actuary by profession, you probably don't wake up in the morning ready to start doing mathematics. When I start solving a KenKen, simple arithmetic takes time to solve, but after a while I start multiplying and dividing in my head without any problem. It takes a little time to get into a grove with math, and you want to walk into the testing center in the middle of that groove.

Timing on the GRE can come down to the wire; 30 extra seconds can mean one or two extra right answers. Simple warm-up problems are like the weighted bats that baseball players swing in the on deck circle " the sluggers lose the weights, step up to the plate, and their bat speed improves by a fraction of a second. Doing a few warm-up problems before heading out to the testing center can help shave a few seconds off of your first 5 or so GRE math problems, which can be a big help.

Try this out on test day (or even before your next simulated practice test). I think you'll be pleased with the results.

JEE (Advanced) 2014: <b>Study tips</b> for <b>Mathematics</b> - Maharudra <b>...</b>

Posted: 15 May 2014 02:14 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.
The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.
Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject. 
Paper pattern:
The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.
Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.
Mathematics syllabus:
Algebra:
Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices
Coordinate Geometry:
Circle, Parabola, Hyperbola
Calculus:
Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral
Tips:
  • If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.
  • Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
  • Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
  • Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
  • Permutation - Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
  • Matrices can be related to equations, hence a 3x3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
  •  Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
  • Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.
  • The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.
The above tips have been compiled with inputs from FIIT JEE.

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