
Hart introduces the course, presenting a minimal concept set for standardized tests, with sample problems and a problem-solving approach, and invites questions in the forums.
Explore the basics of ratio and proportion, including how to express relationships as a ratio, identify direct and inverse proportionality, and solve problems like 3:2 with total counts.
Master fractions and percentage basics, including ratio of part to whole, the rule that a fraction cannot exceed one, and calculating percentage change from the initial value.
Master the basics of decimals and fractions, including terminating and non-terminating decimals, how decimals express fractions, and how to add, subtract, and divide fractions using common denominators or reciprocals.
Master algebra basics by translating word problems into equations using two variables, as shown in the pencils and erasers example and solving for x and y.
Learn lines and angles basics: distance between points, interior angles on a line sum to 180, angles around a point sum to 360, and parallel lines intercepted by a transversal.
Examine triangle properties, including angle sum 180 degrees, triangle inequality, and isosceles and right triangles; apply the Pythagorean theorem and the 30-60-90 ratios x, 2x, x√3.
Explore circle properties, including radius, diameter, circumference, and area; apply Thales' theorem for right triangles and central angles; extend to cylinders’ surface area and volume.
Review the properties of exponents and verify rules by multiplying numbers and using reciprocals for division. Solve the square root of 16 times 20 by factoring into pairs.
Review the basics of quadratic equations using factorization, the sum and product method, and rewriting into the zero-product form.
Master the basics of functions as transformations, learn to nest functions like f(g(x)) and substitute given values for x to solve problems efficiently.
Calculate the combined total messages from Almond and bee given five hours for Almond and four hours for bee, then sum these to find the overall total.
Tackle a tricky weekly recurrence about phones to fix, learn how to set initial values, and identify the weekly start count using b equals 108 minus 23 times b.
Learn to add or subtract expressions by aligning corresponding terms, performing the operations, and obtaining the result 2 x^2 y + 2 x y^2.
Apply a linear model H equals 3E plus 28.6 to estimate child height by age, and identify a 3-unit height increase per additional year.
Isolate B by rewriting M = a b times b divided by B minus one and clearing fractions, then substitute E and B with provided expressions.
Translate the ratio e/b = 2 into e = 2b, then simplify 4b/8 to b/2 to relate the variables through basic algebra.
Tackle a tricky functions question by using symmetry of x^2 and substitution, deriving g(-4) from the given g(4) and the original relation.
Equate the two price-per-pound equations for beef and chicken, solve for x, then substitute back to find the beef price as 3.35 dollars.
Explore a coordinated geometry problem where a line through the origin has slope 1/7, yielding y = (1/7)x; substitute to confirm the x and y relationship.
Solve practice SAT math problem 13 by analyzing the denominator, cross-multiplying, and simplifying to (x^2+5x+6)/(2x+5); invert the denominator when necessary.
Solve this math test question 15 by expanding the expression and using 7e + 2b = c; with two equations and three unknowns, B and A yield 31 or 41.
Solve t^2 - 4 = 0 under the condition t > 0 to obtain t = 2, the positive solution.
Identify vertically opposite angles, establish that the two triangles are similar, and apply proportional corresponding sides to determine E equals sixteen hundred.
Solve simultaneous linear equations by elimination: multiply the first equation by 2, subtract the second to find x, which equals 7.
Apply the identity sin X = cos(90 minus X) to find cos(90 minus X) from sin X, using a right triangle with opposite, adjacent, and hypotenuse.
Identify the line segment that shows an increase followed by a decrease, i.e., a positive slope then a negative slope, with option B showing this pattern for SAT math practice.
Identify k from Y = kX using Y = 24 when X = 6, then calculate Y for X = 5 with Y = 4X, giving 20.
Identify that angle one and angle two lie on a straight line, making them supplementary; with angle one at 35 degrees, compute angle two as 145 degrees.
solve the equation 16 plus 4x equals 24 by subtracting 16 to get 4x = 8, then find x = 2 and determine 8x.
Identify the graph with a strong negative association between D and P, showing P decreases as D increases, by comparing graphs to select the correct option.
Calculate the y-axis unit by summing the points to 27.5, equate to 27,500, solve x = 2000, and conclude the label is installations in thousands.
Rearrange the equation E = 1052 + 1.08D to express D in terms of E. Subtract 1052 from both sides and divide by 1.08 to obtain D = (E - 1052)/1.08.
Extend the previous question to solve section 4, question 10 by substituting E with a thousand for eight and computing D as about minus 48.15, choosing minus 48 degrees Fahrenheit.
Solve the linear inequality 3x minus 5 ≥ 4x minus 3 by adding 3 and subtracting 3x to get x ≤ minus 2, then check with a number line.
Compute the average number of seats per apple by dividing the total seats (73) by the total apples, illustrating how averaging applies to a word problem.
Determine which category represents 19 percent of survey respondents by calculating 19% of 310 to about 59, then identify the category that includes meals taking geometry.
Analyze how removing the value 24 from a data set affects the mean, median, and range, and identify that the range changes the most.
Thank you for taking this course and learning something valuable. Leave a review in the comments to help future students and provide feedback for course improvement.
Do you wish to learn how to approach the most basic question types tested on the SAT Math/Quantitative section? The videos cover not only the basics of but also a set of solved questions intended to make you comfortable with numbers on the SAT. Armed with a sound understanding of the basics, you can be assured that your dream undergraduatt school is not far away!
Here are some testimonials from my students:
Snigdha Sinha, Sr. Product Manager at Amazon: When I finally resolved to take the test, Prasad's guidance was crucial in Verbal and Quantitative. Whenever I was stuck with a question, say why a certain critical reasoning question said the answer was a, and I was stuck to b, he would patiently explain from different angles, analogies, etc. I would often just quickly email him a screenshot of a problem I was stuck with and he would reply in a jiffy. GMATers will appreciate how being stuck on a single question can eat 2 hours of your time and having someone around who is willing to come back to you very quickly, with an answer that has solid reasoning and not just "this is just how it is", especially with sentence correction questions. Prasad was also extremely open to me picking up questions from any portal/forum I liked and helped me get the best out of GMAT prep packages. He has designed his own question sets and they are very high quality. Another thing I wanted to specifically point out - Prasad has trained so many people and understands the exams so deeply that he was able to help me a lot more than the knowledge out there - for example, he told me that the reading comprehension has a higher weightage towards. He guided me on how to dissect convoluted passages and my enhanced score report shows a 51 on RC.
Rahul Ahlawat, Program Manager at PayPal: I interacted with Prasad in two areas - as a student in a GMAT English class, and, as an MBA applicant who took his help in improving essays. I would say he was off the charts in the quality of effort that he provided to me in either of these cases. What came out from the very beginning was how dedicated Prasad was to teaching and helping the student improve. I felt that Prasad worked in a way that linked my success to his success - he was just that dedicated. Secondly, he proved to have such an immense knowledge of the courses and subjects that he was, to me, just amazing. I thought I knew English but he made me question that belief - he was just that good. His commitment to my cause and the quality of his effort were two main reasons why I was able to get a 700+ on GMAT and then prepare and put in 10 applications within 2 months. I credit my GMAT / MBA admissions success to Prasad.
Abira Chatterjee, Country Finance Director, CFO Italy and Spain, Amazon: Prasad helped me in my MBA application process and his contribution was significant and played a key role in the success of my applications. His essay writing style is very effective and to the point, at the same time covering every important aspect in a very aesthetic manner. He guided me on how should I approach the essays, he always understood what the question requires and which points should be highlighted and he was always successful in delivering a high quality and powerful essay from the information that I provided to him. Strongly recommend, thanks Prasad!
When people think about standardized tests such as the SAT, GRE, or GMAT, they think expensive courses or private tutoring. The SAT, GRE, or GMAT are the path to a top graduate course, Masters program, or MBA program. No wonder they're priced so high.
But it doesn't have to be that way.
High fees charged by institutes aside, the glut of study material promising the moon confuses more than enlightens.
I realized: it doesn't have to be this way.
These tests test only basic verbal and math skills, ones we've spent 15 years or more of our lives learning. They focus on but a fraction -- pun intended -- of these skills. So why not focus on study material that covers the most important concepts, and leave the rest to good, old practice?
So I explored the tests and distilled them down to the main concepts they test students on. I then created a to-the-point video course that threshes out the basics in terms of concepts, adding just enough spice via sample problems.
The result is my new course, Foundations of Math for the SAT, GRE, and GMAT.
What will YOU get from this course?
-Over 20 lectures and close to 1 hour of content!
-Understand the basics of rate, time, and distance
-Understand the basics of rate and work
-Method of solving crucial questions on rate, time, and distance
-Method of solving most frequent questions on rate and work
-Understand the basics of ratio and proportion
-Understand the basics of fractions and percentages
-Understand the basics of decimals and mixtures
-Solve critical questions on ratio and proportion
-Solve popular questions on percentages
-Solve regularly asked questions on digits, decimals, and mixtures
- Understand the basic concepts of algebra, equations, and simultaneous equations
- Understand the basic concepts of properties of lines and angles
- Understand the basic concepts of properties of triangles
- Understand the basic concepts of properties of circles
This course covers all the basics and also emphasizes how to approach problems based on the concepts. There are one or two sample questions for each topic that's covered. I recommend that you try the sample problems on your own before looking at the solutions.
I created this course because I genuinely feel that the basics of Math tested on standardized tests such as the SAT, GRE, or GMAT are quite straightforward and should not take long hours of sifting through various resources. Of course, learning the basics is not the same as regular practice, which I highly recommend you do.
If you have any questions about any of the concepts, feel free to post in the Q and A forums. I will look at each and every question and will try to respond to each question as soon as I can. All the best.