![]() Once you understand that, the math needed is not necessarily complex. With problems like these, it’s important that you pay attention to the wording of the question so that you know exactly what you’re being asked.Question 2: Calculator permitted, multiple choiceĬategory: Problem-solving and data analysis-analyzing graphical data, probability We picked the second one since it’s simpler: \(5\:\cdot\:150=750\). We can plug \(x\) into either equation to find the value of \(b\). ![]() Many students might stop here, but remember we want coordinate \(b\) in \((a,b)\), or the y-value. Divide both sides by \(20\) to find out what \(x\) is.Move the variables to the same side by adding \(15x\) to both sides.In this case, \(x\) is equivalent to \(a\), and the y-value is equivalent to \(b\). This means we can find the point of intersection to find a maximum value of \(b\) and solve it just like a system of equations using the substitution method.If there were only less/greater than symbols, the lines would not be included in the solution set. Since the inequalities are both less than or equal to, we know that the lines (and the point of intersection) are included in the solution set. Because it’s a grid-in response (only real numbers can be the answer to the grid-in questions-there is no option to bubble in infinity) we know that the value of \(b\) must be limited by the point of intersection. With inequalities, the graph will be shaded to include the set of values that satisfy the inequality, so \((a,b)\) lies in this overlapping region. In this question, we’re told coordinates \((a,b)\) lies in the solution set of these equations, and we want to know a maximum possible value.Now grab a calculator, a pencil and a piece of paper, and let’s review the hardest SAT math questions! 15 Hardest SAT Math Questions Question 1: Calculator permitted, grid-in responseĬategory: Heart of Algebra-systems of linear inequalities If you develop your math skills, however, then these questions won’t be that much more difficult for you. You’ll need to find the correct solution without any help from answer choices. Most students find grid-in questions harder than the multiple-choice because some test tactics-like substituting answer choices into the problem-don’t work. This is the only category without a corresponding subscore, but it has a wide variety of topics, including geometry, trigonometry, radians and the unit circle, and complex numbers.Ī grid-in question can test any of the topics above and is found at the end of each portion of the math test, both no-calculator and calculator. Identifying and creating equivalent expressions quadratic and nonlinear equations/functions and their graphs.Īdditional Topics in Math: 10% of test, 6 questions total Passport to Advanced Math: 28% of test, 16 questions Ratios, proportions, percentages, and units analyzing graphical data, probabilities, and statistics. Problem Solving and Data Analysis: 29% of test, 17 questions Linear equations and inequalities and their graphs and systems. Heart of Algebra: 33% of test, 19 questions We’ve also included how many questions fall under each category, so if you’re self-studying, you can prioritize the types of questions that appear more often. Math Topics on the SATīefore we go into the questions, we want you to understand the terms that the College Board uses to categorize the topics. Want to know your chances at the schools you’re applying for based on your SAT? Calculate your admissions chances right now and understand your odds before applying. ![]() Most problems can be solved in a variety of ways! Remember: we’ve given you just one way to solve the problem. We suggest you try solving these on your own before looking at the answer and our suggested solution. In general, you can expect to find harder questions in the second half of each SAT math section, as the questions generally increase in difficulty.įor each question below, we’ve identified the key concepts being tested and whether a calculator is allowed. “Hard” is a little subjective we think these questions are difficult based on working with many students, but you may find some of them easy. We’ve chosen a variety of question types, but this isn’t an exhaustive representation of all the math topics or types of questions on the SAT. These questions come from the free SAT practice tests because we wanted to make sure that we show you questions representative of those you’ll see on the real test. We’ve rounded up some of the hardest questions and we’re going to show you how to solve them. Students often want to prepare for the toughest questions they’ll see on the SAT so they can feel confident on test day.
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