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SAT math formulas | What is the SAT math section?
The SAT exam can seem challenging but armed with the right tools, the SAT math formulas, your path to achieving a high score can be smoother. These formulas aren’t just mathematical expressions; they’re keys to unlocking the numerous problem-solving doors in the SAT Math section. As stated by the College Board, the Math section makes up 50% of the total SAT score, indicating its critical role. Let’s take a deep dive into understanding, learning, and memorizing these indispensable formulas.
What is the SAT math formula sheet?
The SAT math section is divided into two portions: one allows the use of a calculator, and the other does not. However, the comforting fact is, you’re provided with a SAT maths formula sheet at the beginning of each Math section. This formula sheet offers you a set of basic formulas and conversions. Some common SAT math formulas present include area and volume formulas, quadratic formulas, circle properties, and some trigonometric ratios.
However, it’s important to note that this sheet doesn’t contain all the formulas you might need to answer every question. It implies the necessity to have certain additional SAT math formulas at your fingertips.
Must-know SAT maths formulas
While the formula sheet provided in the test is certainly useful, there are additional formulas you need to know to answer all SAT maths questions. Here are some of the most important SAT maths formulas to know:
- Slope-intercept form of a Linear Equation: y = mx + b
- Distance formula: d = √[(x2 – x1)2 + (y2 – y1)2]
- Midpoint formula: M = [(x1+x2)/2 , (y1+y2)/2]
- Pythagorean theorem: a2 + b2 = c2
- Special right triangles (30-60-90): Opposite 30° = a, Opposite 60° = a√3, Hypotenuse = 2a
- Special right triangles (45-45-90): Legs = a, Hypotenuse = a√2
- Circle equations: (x-h)2 + (y-k)2 = r2 (Center at point (h,k) and radius r)
These formulas are not included in the given formula sheet for SAT maths, but knowing them can save you precious time during the test.
Additional essential formulas
In addition to the ones previously mentioned, here are a few more important SAT maths formulas that are likely to come in handy during the test:
- Average (Arithmetic mean): Average = (Sum of terms)/ (Number of terms)
- Percentages: Percent Change = [(Final value – Initial value)/ Initial value] x 100%
- Probability: Probability = Number of favourable outcomes / Total number of outcomes
- Exponent rules: For any non-zero number a, (a^n)/(a^m) = a^(n-m), a^n * a^m = a^(n+m), (a^n)^m = a^(nm)
- SOHCAHTOA (For right triangles): Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent
Understanding these formulas and their applications can equip you with the necessary mathematical tools to answer a range of SAT maths problems.
How to practice SAT math formulas?
Knowing the formulas is just the first step; practicing their application is equally, if not more, crucial. As the adage goes, “Practice makes perfect.” According to a study by Dr. John Hattie, practice testing is one of the most effective study techniques, demonstrating its significant role in your SAT preparation.
There are several ways to practice applying these maths formulas for SAT:
- SAT practice tests: Utilise the SAT practice tests available on the College Board’s website. These tests emulate the real exam and provide an accurate indication of your preparedness.
- Flashcards: Create flashcards with the formulas on one side and examples on the other. These are excellent for quick revision and reinforcement.
- SAT math workbooks: Several SAT Math workbooks provide targeted practice for different mathematical concepts, allowing you to apply the formulas in various contexts.
Mastering these SAT maths formulas is not an overnight process, but with consistent effort and practice, it’s definitely achievable.
Strategies to memorize SAT maths formulas
Memorizing SAT maths formulas can seem like a daunting task. However, with the right strategies, you can make the process more manageable and efficient. Here are a few tips:
- Understanding over rote memorization: Take the time to understand what each formula means and when to apply it. This approach is much more effective than simply memorizing formulas without understanding their essence.
- Consistent review: Regular and consistent review is key to memorization. Use flashcards, apps, or simply rewrite the formulas on a regular basis to reinforce them in your memory.
- Make connections: Try to make connections between different formulas. Understanding how formulas relate to each other can help you remember them more effectively.
- Practical application: Apply the formulas to solve actual SAT maths problems. This will not only help you remember the formulas but also give you a clear understanding of their practical application.
- The SAT provides a formula sheet, but memorizing additional essential SAT maths formulas will be incredibly beneficial.
- Understanding the concept and application of each formula is crucial for effective utilization during the test.
- Consistent practice using a variety of resources, such as flashcards, practice tests, and SAT maths workbooks, is essential for mastering these formulas.
- Implement effective test-taking strategies to optimize your time and increase accuracy.
- SAT math section can feel like a challenging task, but with the right preparation and tools, it is conquerable.
- Mastering the provided SAT maths formulas and memorizing other essential formulas not present in the provided sheet will equip you with the knowledge base to tackle a majority of maths problems on the test.
- Coupling this knowledge with effective test-taking strategies and abundant practice will ensure you can confidently approach this section of the SAT and aim for a high score.
We hope you enjoyed reading this blog. In case of any queries, or assistance with your SAT prep, reach out to us or drop a comment below.
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Q1. What are some other important SAT math formulas?
Answer- Several vital SAT math formulas aren’t included in the provided sheet. These include the Slope-Intercept Form of a Linear Equation (y = mx + b), Distance Formula, Midpoint Formula, Pythagorean Theorem, special right triangle rules, Circle Equations, and formulas related to averages, percentages, probability, exponent rules, and SOHCAHTOA for right triangles.
Q2. How can I effectively memorize SAT math formulas?
Answer- For effective memorization, understanding the concepts behind the formulas is crucial. Regular review, making connections between different formulas, and practical application in solving actual SAT Math problems are effective strategies. You can also use flashcards for quick revision and reinforcement.
Q3. What test-taking strategies should I use when applying these formulas in the SAT maths section?
Answer- Use your time wisely, especially for challenging questions. It’s important to double-check your work and remember that SAT Math problems typically increase in difficulty. If unsure about a question, try to eliminate incorrect answer choices before guessing, as there’s no penalty for wrong answers on the SAT.