Master ETS - GRE Exam Maths Prep Course to score 165+ -2023

Master quantitative comparison by testing values to decide if A is greater, B is greater, they are equal, or the relationship cannot be determined, with example problems.

Explore quant comparison 2 with class averages of boys and girls, elimination strategies for equal results, and quick checks using the Pythagoras theorem.

Solve question 1 on quantity comparison by using special symbols and rate notation to compare quantities A and B, showing bracket evaluation and concluding B exceeds A.

Analyze A = 6X and B = 7Y with X > Y > 0; test values to see differing outcomes and then eliminate options to decide which quantity is greater.

Increase the rectangle’s length by 30% and width by 10%, yielding a 43% area increase; a square increased by 20% yields a 44% area increase, so quantity B is greater.

Compute average speed from the total distance 40+60 and total time 40/40 plus 60/60, yielding 50 mph, and show that 52 mph > 40 mph, so option B is correct.

Compare consecutive odd numbers X < Y < Z by A = 6X + 60 and B = 6Y + 1, using the zenph method with positive and negative values.

Solve question six by comparing 6A and 8B, test A=4, B=3 to show equality, then A=5, B=4 to show 8B is greater than 6A, and eliminate options.

Test x and y within their bounds, compare x−y with x, use sample values (x=4, y=0.5) to eliminate options, then with x=4.9, y=0.5 confirm the correct choice as D.

Question 8 uses W = -C and Z ≠ 0; A = WZ = -1 and B = W − C = 2W, so B equals 2 or -2, making B not consistently greater than A.

Compare two expressions A = (12 − 3x)/11 and B = (4x − 16)/13 for x > 4 by testing x = 5 and x = 4.1 to show B is greater than A.

Compare A = 3x + 1 with B = 41 for x < 13, using x = 12 and x = 12.9 to see when A surpasses B.

Compute the factors of 16 and the multiples of 16 below 85; both counts equal five, so a and b are equal and option c is the answer.

Identify a^2 - 24 and (a+5)(a-5) as a difference of squares, yielding a^2 - 25. Subtracting 24 leaves a larger value, so option eight is final.

This lecture solves a GRE math question on a product of factors, identifies two non-integer X values, and concludes that Quantity B (three) is greater than Quantity A.

Compare the range and standard deviation of a data set, compute the mean and squared deviations, and conclude the range (8) is greater than the standard deviation (approximately 3).

Analyze the class eight ratio 3:5 and class b ratio 7:9, then combine boys and girls to see that girls exceed boys, confirming b as the answer.

Explore a GRE maths problem about the last digit of a power with P and X. Substitute values to verify the last digit is eight and identify the final option.

Demonstrate solving a GRE math question on percentage change with fixed quantities, calculating a 50% increase and a 33 1/3% decrease, and using elimination to narrow options.

Learn four exam techniques: approximation, eliminating answer choices, substitutions, and sequencing to save time and improve accuracy on GRE-style questions, with worked examples on average speed and inscribed-square problems.

Master approximation techniques to estimate class averages and fail percentages, eliminate implausible options, and apply logical reasoning to GRE math questions.

Master the elimination technique for GRE maths by replacing variables with sample numbers, quickly eliminating options, and solving installment problems through value testing.

Master the elimination technique part 2 for gre math, solving speed, distance, and time problems using option checks and reverse thinking.

Learn substitution technique for solving (x+1)/x=2 and simplifying x^101/x^100, then apply a work-rate trick with a 60-unit total to show four days for A, B, C, and D.

Master ETS GRE math prep course to score 165+ introduces substitution technique through practical pricing and percentage-change problems, using 100 as a base and quick fraction shortcuts.

Solve quiz questions by substitution and verification in this GRE exam maths prep lecture, demonstrating checking linear and quadratic equations against candidate answers and identifying the correct solution.

Explore sequencing techniques by examining averages of the first odd numbers through small data samples, and apply pattern recognition to count squares and rectangles on chessboards.

Count all rectangles on an an by n chessboard by summing cubes: 1^3+2^3+...+n^3, which yields 1296 for an 8x8 board. Use subtraction to count numbers between two values.

Learn to determine the last digit of large powers using cyclic patterns and remainder tricks, including parity and mod four, with examples like 9^891 and 7^6.

Compute 2/5 of the total voters and apply 15 percent (3/20) of John’s promises and 25 percent of Tom’s to identify the total number, selecting 100 as the valid total.

Determine the number of chocolates per student that is divisible by 12, 16, 18, and 21, then identify the sum of its digits, which equals 9.

Solve a GRE math problem on a two-party election, analyzing 2015 and 2020 turnout, a 25% rise in not cast votes, and deducing the 2015 domestic party votes.

Compute the HCF of 945 gold coins and 2475 silver coins to determine the maximum coins per group and the total number of groups.

Solve a watch price problem by testing options, noting that a $1 price increase reduces purchasable watches from 120 dollars by 10; conclude the current price is three dollars.

Solve the sixth question: John and Roy are paid X dollars in advance for a job; the solution shows hours equalize wages, concluding Roy was paid nine dollars in advance.

Determine the least number of balloons a student has when four students each hold a prime number of balloons and their product equals 381,494 rupees.

Compute the overall average weight of packets across two years: eight at 12 3/8 pounds and four at 15 1/4 pounds, concluding the answer is 13 1/3.

By normalizing to 100 employees, the solution finds P = 50% and Q = 33 1/3%, so P is greater than Q.

Explore a GRE maths problem about 4800 stocks where higher-price closes exceed lower-price closes by 20 percent. The solution yields 2640 stocks closing higher today, which corresponds to option D.

Determine the original price X of the mobile. Increasing the selling price by 162 dollars changes the outcome from a 19 percent loss to a 17 percent profit.

Set x=1 and y=1 to compute p = x^2+y^2 and q = xy, then evaluate 4+8q = 16 and select option B as the correct match.

Solve a GRE-style commission problem by comparing old 6% monthly commissions with a new policy of 1200 fixed plus 3% on sales above 5000, and determine the month’s total sales.

Solve a gre maths prep question on two successive salary increments, where the final salary is 42/25 of the initial and the second increment is twice the first.

Solve a percent up-down price problem: after the first cycle the price drops 441 rupees, and after the second cycle it becomes 1944.81 rupees, yielding the original price 2756.25 rupees.

Analyze a GRE maths problem: from 45,600 employees, 40% apply for voluntary retirement, 15% rejected, 9,120 retire, yielding 14% who did not retire despite acceptance.

Solve a GRE maths word problem comparing sports day and women's day attendance to determine the number of girls using percentage constraints and divisibility by three to ensure integer results.

Solve a ratio-based goat problem by analyzing four children's shares in 7:4:8:10, applying 20%, 30%, 40%, and 10% changes, and using 600 added goats to deduce the initial total.

Learn to calculate the final selection rate from applicants by chaining participation, selection, interview, and joining percentages, using a base of 100 to obtain 5.4%.

Solve a GRE maths word problem: a mango seller sells half daily and 10% is damaged overnight; with 1083 rotten over three nights, determine the starting stock as 24000.

Analyze a Gre maths problem on savings as a percentage of earnings and identify the impossible value for Jack and Blassie's combined earnings relative to Blassie's earnings, yielding 150 percent.

Given a minus eight equals n plus twelve, add two and subtract six from both sides to get n plus two equals n minus six plus twenty eight.

solve the gre question 23 by determining how many half-kilogram balls are in a bag of 250 balls weighing 315 kilograms, concluding that 190 is the correct option.

Solve a GRE maths scoring problem by applying +1 for correct, -1/3 for wrong, and 0 for not attempted; from 98 answered, 21 wrong and 77 correct give 70.

This lecture presents a percent-change age problem with X and Y, showing that increasing Rams age by Y percent and then decreasing by X percent yields Z, which is zero.

Explore how real and imaginary numbers form the base of number types, classify rational and irrational numbers, and distinguish integers, decimals, and fractions, including proper, improper, and mixed fractions.

Explore how integers classify into even and odd, with zero and one as neither prime nor composite. Learn about natural and whole numbers, primes, composites, twin primes, and perfect numbers.

Explore the Fibonacci sequence, defined by adding the two previous numbers, with examples 0,1,1,2,3,5,8. Apply the BODMAS rule—brackets, division, multiplication, addition, subtraction—to solve a sample problem.

Learn decimal place value, identify place and face values in numbers like 248.4196, and apply rounding to hundreds, tens, units, and thousands.

Learn to convert decimals to fractions and recurring decimals using multiplying and subtracting techniques to isolate the repeating part, and derive fractions such as 365 divided by 999.

Learn to add and subtract fractions by finding a common denominator, and master multiplication and division of fractions using cancellation and reciprocals in gre math prep course.

Convert proper fractions to mixed fractions and back, learn quotient and remainder, and master adding and subtracting mixed fractions, then explore factors and multiples.

Learn how to find the least common multiple and greatest common factor using listing multiples and prime factorization, illustrated with examples for 4, 6, 8 and 32, 54, 96.

Learn to compute hcf and lcm and understand their product relation, then master the sum of factors and number of factors via prime factorization, illustrated with 480.

Explore how to determine trailing zeros in factorials, count fives and twos, and compute the maximum power of six in factorials using stepwise division.

Learn practical divisibility rules for numbers 2 to 12, including last-digit tests, digit-sum criteria, and alternating-sum checks, with example-driven steps to verify divisibility.

Explore mixed fractions by separating whole and fractional parts. Convert to compatible forms and combine results with normal arithmetic, using common denominators to simplify additions and subtractions.

Understand how ratios differ from fractions, illustrated by a class where the boys to girls ratio is 3:4 and 3/7 representations, and why ratios can’t be added directly.

Divide a total value into shares using parts to allocate amounts to A, B, and C. Combine chained ratios by equalizing common terms across sequence X, Y, Z, and W.

Explore proportion and ratio through practical examples, showing how the product of extremes equals the product of means and how counts scale with money, such as chocolates for cents.

Explore three types of proportion, including mean (main), third, and fourth proportions, and distinguish direct and inverse relationships with examples like speed vs distance and heat vs water level.

Learn how to calculate percentages using the formula obtained over total multiplied by 100, compare scores such as 400/500 and 600/1000, and compute overall percentages.

Calculate percentage change using the formula (change/original) times 100, illustrated by 350 to 450, then convert percent to fraction by dividing by 100.

Master percent calculations by breaking down percentages, such as 20 percent of 600 and 39 percent as 40 percent minus 1 percent, using right-to-left methods.

Learn to calculate percent off and percent of a value using step-by-step examples, such as 50% off 4000 and 30% of 800, then apply sequential percentage changes to prices.

Master essential percentage change techniques by calculating final values from initial values using increases and decreases, applying to price and population scenarios with the percentage change formula.

Explore how cost price, selling price, and mark price interact to determine profit and loss percentages, including discount calculations and practical examples.

Explore a 20 percent discount and 20 percent profit on a mark price of 600; compute the cost price and visualize price, selling price, and market price relationships.

Learn how to compute profit or loss percentage using selling price and cost price through practical examples, including gold price equivalence and dual mobile purchases with profit and loss.

Apply algebra to find the initial price before 30% and 40% successive discounts, given the final price, in the lecture 'Successive Discounts' from the Master ETS GRE maths prep course.

Compare simple and compound interest, learn how principal, rate, and time determine the amount, and apply the formulas for SI and CI with yearly and every four months compounding.

Discover how to compute averages for linear data using the first plus last divided by two, and apply to consecutive odd and even numbers with examples.

Explore nonlinear data by recognizing random ordering and apply the total and weighted average formulas in a class example with boys, girls, and teachers.

Master GRE style average problems by combining group averages to deduce individual scores, such as the six-player score (70 runs) and the new student’s score (51 gidgee) when averages change.

Learn how to handle mixtures by comparing two vessels with different ratios, using the least common multiple to scale, then find the final milk to water ratio 29:41.

learn to solve two-vessel ratio problems where one volume is twice the other, using common multiples to set a base and determine final resin, condensed milk, water, and salt mixtures.

Solve milk to water ratio problem, turning 4:1 into 1:4; one part equals 16 liters, so initial 64 liters milk and 16 liters water, and add 40 liters of water.

Explore speed, average speed, and relative speed by solving distance time problems; apply time equals distance divided by speed, and calculate catch-up time in the thief and police example.

Two trains on a 110 mile route start from station A at 60 mph and from station B at 80 mph, meeting at 3:30 pm, 440 miles from station B.

A traveler makes three legs at 40, 50, and 60 mph between X and Y and back. Compute average speed as total distance divided by total time, yielding 800/37 mph.

This lecture solves a rate problem using distance equals speed times time, with speeds 20 and 30 m/s, yielding a 600-meter distance and a 24-second normal time.

Apply proportion and cross-multiplication to scale seven bulbs per 400 to 20,000, resulting in 350 inspected bulbs.

Apply direct variation to earnings by setting up a proportion with attendance, cross-multiply, and compute that 20 attendees yield $300.

Calculate the profit from a $120 show by deducting 43% for costs with eight attendees, yielding a remaining profit of $68.4.

Calculate the earth's average orbital speed in mph by dividing the annual distance by the year's total hours, applying unit conversion and estimation to pick the closest option.

Compute the unknown element's atomic weight by reducing calcium's 40 amu by 20% to obtain about 32 amu.

Delve into lines and angles, covering line definitions, parallel and perpendicular lines, supplementary and complementary angles, vertical opposite angles, and how transversals produce equal angles and proportional segments.

Explore triangle basics, including angle side relations and exterior angles. Note that the sum of two sides exceeds the third, and exterior angles equal the sum of opposite interior angles.

Compute triangle areas using Heron's formula with semiperimeter s, base height, and area = r s for inscribed circles, and derive height for equilateral triangles to obtain (√3/4)a^2.

Explore Pythagoras' theorem with c^2 = a^2 + b^2 and the hypotenuse opposite 90 degrees, along with concepts of similar and congruent triangles.

Explore triangle types—scaling triangle, right angle triangle, obtuse angle triangle, isosceles triangle, and equilateral triangle—and learn centers (incenter, circumcenter, excenter, centroid, orthocenter) plus the midpoint theorem.

Learn the properties of special triangles, including 30-60-90 and 45-45-90, using equilateral basics, right triangle ratios, and the Pythagorean relation to find side lengths.

Explore quadrilaterals, including parallelogram, rectangle, square, rhombus, and trapezium, and learn their properties, diagonals that bisect, and area formulas such as base times height for parallelograms.

Explore how polygons form from quadrilaterals to octagons by adding sides, divide shapes into triangles to sum interior angles, apply exterior angle sums of 360 degrees, and identify regular polygons.

Explore circle basics such as radius, diameter, center, chords, segments, and tangents. Learn about major and minor arcs and segments, circumference, arc length, and sector area calculations.

Learn circle properties: the angle in a semicircle is 90 degrees, making any inscribed triangle right-angled. Explore tangent radius perpendicularity and cyclic quadrilateral angle sums.

Master 3-D geometry concepts by analyzing cuboids and cubes, calculating lateral and total surface areas, determining volumes, and finding the longest space diagonal inside a figure.

Derive formulas for cylinders, cones, spheres, hemispheres, prisms, and pyramids, including lateral and total surface areas, volumes, and the relationships among base, height, radius, and slant height.

Explore coordinate geometry by locating points in four quadrants, applying distance and slope formulas, finding midpoints, and deriving line equations from intercepts and points, including parallel lines.