What Formulas Are Provided on the SAT?
The SAT, or Scholastic Assessment Test, is a standardized test widely used for college admissions in the United States. One of the most common questions among students preparing for the SAT is: what formulas are provided on the test? Understanding which formulas are available to you can help you better prepare for the mathematical sections of the exam and save time during the test itself.
Basic Arithmetic Formulas
The SAT provides a list of basic arithmetic formulas that you can use during the test. These include:
1. Percentage Formula: (Part/Whole) x 100
2. Percentage Change Formula: ((New Value – Original Value) / Original Value) x 100
3. Proportion Formula: (Part/Whole) = (Part1/Whole1) = (Part2/Whole2)
4. Distance Formula: d = √((x2 – x1)^2 + (y2 – y1)^2)
5. Area of a Circle: A = πr^2
6. Area of a Triangle: A = (base x height) / 2
7. Area of a Rectangle: A = length x width
8. Volume of a Cube: V = a^3
9. Volume of a Rectangular Prism: V = length x width x height
Geometry Formulas
The geometry section of the SAT includes various formulas related to shapes and figures. Some of the key geometry formulas provided are:
1. Pythagorean Theorem: a^2 + b^2 = c^2
2. Circle Area: A = πr^2
3. Circle Circumference: C = 2πr
4. Triangle Area: A = (base x height) / 2
5. Triangle Perimeter: P = a + b + c
6. Trapezoid Area: A = (base1 + base2) x height / 2
7. Parallelogram Area: A = base x height
8. Rectangle Area: A = length x width
9. Square Area: A = side^2
Additional Formulas
In addition to the basic arithmetic and geometry formulas, the SAT also provides some additional formulas that may be useful for certain questions. These include:
1. Mean: (Sum of all values) / (Number of values)
2. Median: The middle value in a set of numbers
3. Mode: The most frequently occurring value in a set of numbers
4. Range: The difference between the highest and lowest values in a set of numbers
By familiarizing yourself with these formulas, you can better prepare for the SAT and feel more confident in your ability to answer the mathematical questions that come your way. Remember to review these formulas thoroughly and practice applying them to various problems to ensure you are well-prepared for test day.
