I want to get a perfect score on the SAT Math section but how do I do it? Is it even possible? Among the 1000s of students we have trained for the SAT, often we found at the beginning of their prep that every student had the same feeling that the SAT Math isn’t that hard yet they failed to get their desired score in the first practice test they ever took. In this blog page, we dissect what really matters to get your dream score. First, let’s get our basics straight.

**How is the SAT Math Section designed?**

The SAT math section has been bifurcated into two sub-sections one with no-calculator and another with a calculator. The content tested on the test interestingly forms four categories – Heart of Algebra(the elementary algebra that you studied in secondary school), Problem Solving and Data Analysis(questions involving real-life scenarios where your everyday math is tested), Passport to Advanced Math( an extension of Heart of Algebra where non-linear equations and functions are tested) and finally Additional Topics in Math that’s meant to include plane and solid geometry and trigonometry.

Now, have you studied these topics in school? I know your answer, it’s a YES. You’re already familiar with the content tested. You may still have to refresh some of the topics as you studied them a year ago. List those topics that are not completely clear to you and start practicing those on Khan Academy. You might not get an extensive practice however the resources there should be sufficient to clear your doubts and accustom you to the way the questions would be framed on the SAT from the topics that sound alien to you. Once you’ve gone over all the topics that are tested on the SAT, it’s time to test your test-taking skill. How do you do that? **There are about ten free collegeboard practice tests available for you to master your test-taking skill. We have listed them here for you. **

Collegeboard Practice Test 1 | Questions | Answers | Explanations |

Collegeboard Practice Test 2 | Questions | Answers | Explanations |

Collegeboard Practice Test 3 | Questions | Answers | Explanations |

Collegeboard Practice Test 4 | Questions | Answers | Explanations |

Collegeboard Practice Test 5 | Questions | Answers | Explanations |

Collegeboard Practice Test 6 | Questions | Answers | Explanations |

Collegeboard Practice Test 7 | Questions | Answers | Explanations |

Collegeboard Practice Test 8 | Questions | Answers | Explanations |

Collegeboard Practice Test 9 | Questions | Answers | Explanations |

Collegeboard Practice Test 10 | Questions | Answers | Explanations |

Take these practice tests at regular intervals to learn how to manage your stamina and focus throughout the test and maintain an error log to understand what kind of questions often get you in a quicksand situation. And most importantly see, how you can manage your ego by letting a question go as you genuinely didn’t know how to approach. **Alternatively, you can get in touch with us to get tips on time management skills, shortcuts, and strategies to answer the questions under time pressure. We also provide a comprehensive question bank that will help you orient your practice in the right direction. **

Mastering question types is essential to achieve the score that you're targeting. The SAT Math is tested across two question types – Multiple-Choice questions (MCQ’s) and Grid – In (Student-Produced Response) questions.

**An example of a Grid – In Question:**

** y = - (x - 3) ^{2 }+ a**

**In the equation above, a is a constant. The graph of the equation in the XY-plane is a parabola.**

**Which of the following is true about the parabola?**

A) Its minimum occurs at (-3, a).

B) Its minimum occurs at (3, a).

C) Its maximum occurs at (-3, a).

D) Its maximum occurs at (3, a).

Question Source – Collegeboard Practice Test 10

**Explanation:**

The standard equation for a parabola in vertex form is given by y= a(x - h)^{2} + k where h,k represents the coordinates of the vertex of the parabola.

Let’s compare the equation given in the question with the standard form

y= - (x - 3)^{2} + a

y= a(x - h)^{2} + k

We get, a = -1, (h,k) = (3,a)

Whenever a<0 we get an upside-down parabola, therefore the parabola has a maximum. We can eliminate answer choices A and B that mentions a minimum. The coordinates of maximum are nothing but the coordinates of the vertex of the parabola. Therefore, the maximum of the parabola occurs at (3, a).**The correct answer is answer choice D.**

**An example of a Grid – In Question:**

**If u + t = 5 and u - t = 2, what is the value of (u - t)(u ^{2 }- t^{2})?**

Question Source – Collegeboard Practice Test 10

**Explanation:**

In the question, we see an expression of the form a^{2 }- b^{2}. By the standard algebraic identity, we know that a^{2 }- b^{2 }= (a + b)(a - b)

On rewriting, (u - t)(u^{2 }- t^{2})

We get, (u - t)(u + t)(u - t)

From the question, we have, u + t = 5 and u - t = 2

Therefore, (u - t)(u + t)(u - t) = 2 * 5 * 2 = 20

**The correct answer is 20.**

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**Register for our upcoming Online SAT Math and English Master Class Webinars:**

- Online SAT English Master Class – 22
^{nd}December 2020 – 06:30 PM to 08:30 PM GST - Online SAT Math Master Class – 05
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You can write to us to get a customized study plan to achieve your dream score. After all, achieving your dream score isn’t as hard as you thought. All the best!

## Ashit Anandkumar

If x4 - y4 = -15 and x2 - y2 = -3, what is the value of x2 + y2? 5 4 2 1

## GoToUniversity

Thanks for your question, Ashit^{4}– y^{4}= -15 as (x^{2})^{2}– (y^{2})^{2}= -15^{2}– b^{2}= (a + b) (a - b)^{2}+ y^{2}) (x^{2}– y^{2}) = -15^{2 }+ y^{2}) * -3 = -15^{2}+ y^{2}= -15/-3^{2}+ y^{2}= 5The correct answer is 5.