# The Hardest Math Problem

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.

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A larger standard deviation means that the points in the data set are more spread out from the mean value, and a smaller one means that the points in the data set are close to the mean value. The discriminant is the part of the quadratic formula under the radical, or \(b^2-4ac\).

Likewise, you’ll need to know what is meant by range. Let’s first determine the standard deviations of each data set relative to each other. If the discriminant is positive, there are 2 solutions; if the discriminant is 0, there is 1 real solution (or a repeated solution); if the discriminant is negative, there are no real solutions.

The first question asked for the value of \(x\) in the expression.

Because her bank account earns \(2\%\) interest compounded annually, we can convert \(2\%\) to a decimal, giving us \(.02\).

We can substitute the \(1.5\) into the equation to see how it might affect \(q\), or the dynamic pressure.3.

## The Hardest Math Problem

For our fluid moving at a velocity of \(1.5\), we thus have: \(q=\fracn(2.25)v^2\).

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.

You’ll need to find the correct solution without any help from answer choices.

Students often want to prepare for the toughest questions they’ll see on the SAT so they can feel confident on test day.

We’ve rounded up some of the hardest questions and we’re going to show you how to solve them.