This page is for the DSAT test
➺ SAT this is for exam prep materials for SAT
Skim through the questions before reading the passage to have a sense of what to look for.
Focus on understanding the main idea, tone, and purpose of each passage.
Pay attention to specific details and evidence supporting the author's claims.
Practice time management to ensure you have enough time for each passage and questions.
➺Writing and Language Section:
Familiarize yourself with common grammar and punctuation rules.
Pay attention to transitions between sentences and paragraphs for coherence.
Read actively to improve comprehension and vocabulary, as it helps in understanding context.
➺Math with more high school level concepts
➺Math Section (with Calculator):
Review fundamental math concepts, including algebra, geometry, and trigonometry.
Practice solving different types of math problems to build problem-solving strategies.
Review formulas and equations that may be needed for various math concepts.
➺Firstly, booking for the SAT is on College Board. Misk requires a score of over 1300 in your SATs.
➺Use Khan Academy to build your foundations in math. However, for more advanced questions, it isn’t that helpful because the questions are evolving. For English, it’s amazing as well.
➺Bluebook practice tests are a must. There are only 4 at the moment, so don’t use them all up. Ideally, you should space your practice tests out to use them effectively since they’re the closest thing you have to the real test.
➺The SAT question bank is the most underrated and best resource to use since it’s from College Board itself. You can practice concepts separately, and a lot of the questions have been on past SATs and some might even come on the one you take.
➺YouTube is good for getting an idea of what the test is like and what people are doing to study for it. It’s also pretty good for learning concepts and solving hard questions. The best channel is Tutorllini Test Prep.
➺Give yourself adequate time to study. 2-3 months is a good starting point. If you really want a good score on your first try, maybe study for more than 3 months, but also the way you study matters more!
➺Whenever you take a practice test, go back and look at each question carefully and write down your mistakes so you can work on them. This is crucial for actually getting better.
➺Don’t get a tutor or buy a book. You don’t need these things to succeed, and it might be a waste of your money. You can find loads of books online, and in the summer, you’ll get access to books from Kaplan, which is the company that taught the SAT and IELTS courses for us.
➺Don’t stress about the SAT too much - you have plenty of time to study for it, but to be honest, the earlier the better!
Some sat telegrams
Credits to Khalid Alkhalifah
https://t.me/SAT_TR
Desmos summary
To solve any equation on desmos:
Y= left side
Y= right side
To solve any system of equations on desmos:
Plug both equations into desmos
To solve any intercept (x or y intercepts) on desmos:
Plug the equation into desmos and look at where it's intercepting
To solve any minimum- -maximum question on desmos:
Plug the question into desmos and look at the needed point
To solve any inequalities on desmos:
Plug the inequality into desmos and depending on the ask of the question you can find out the answer
To find the number of solutions/points of intersection on desmos:
Plug the equation/ equations into desmos and find how many times they intersect
note if given a single equation, do y= left side-- y=right side and find the intersection point
To find the number of solutions in equations that contain constants on desmos:
Plug the equations in desmos and try guessing using the answer choices
note this only works with questions which include answer choices
To evaluate functions on desmos:
Plug the equation and the f(x), which are given in the question, in desmos and you'll be given the answer directly
To solve regression questions (functions which shows a specific value of x and their corresponding values of f(x) ) on desmos:
Plug the given table into desmos by clicking on the + at the top left and input the values. After writing the table, write in a separate column "y1~mx1+b" and you will be given the M(slope) and the b (y intercept) of the answer
note if given a quadratic function instead of a linear function, you should type "y1~ax1²+bx1+c"
For the the vertex form: y1~a(x1-h)²+k
To find out which expression is equivalent to the one given in the question on desmos:
Plug in the expression in the question and try out the answer choices
To solve an equation of a circle on desmos:
Type the equation into desmos and note down the coordinates of the top of the circle and the coordinates of the bottom of the circle---
to find the distance(radius) : distance× ((the first set of coordinates), (the second set of coordinates)) all over 2
To find the center of the circle: midpoint×((first set of coordinates),(second set of coordinates))
To find out if a point is inside or on the circle: After you have graphed the circle in desmos, plug the points too into desmos and you'll find out the answer
note when trying to find the radius or midpoint, input it exactly as I have written- the exact number of brackets and commas.
diameter is 2 times the radius (e.g if the radius was 7, the diameter is 14) and the circumference can be found in one of 2 ways (2×pi×radius -or- pi×diameter)
To solve function translations on desmos:
Plug the equation/equations into desmos and you'll be able to see the points needed on the graph
note the formula is f(x-h)+k
h controls whether the function goes left or right, when there's a minus next to h, the function goes right; when there's a plus next to h, the function goes left
k controls whether the function goes up or down, when k is positive, the function goes up; when k is negative, the function goes down
To solve mean and median questions on desmos:
For the mean, write: mean( the numbers given)
For the median, write: median(the numbers given)
note this is only for simple questions which ask for only the mean or the median; there are far more complex questions which cannot be explained via text. Watch this video for a more detailed explanation:
https://youtu.be/oOZeeiLe13g?si=yeFm_ZK-BN3YTX1p
P.S-
Many questions which include an unknown constant can be solved by including the constant in desmos, in which desmos will ask if you want to make a slider for that constant and you can try out different values by using the slider to see what the answer is (this is for when you really don't know how to solve the question and you've tried everything). Please forgive me if I made any mistakes in these notes, they may not be perfect but they should give you at least a small idea of how to proceed!
Standard form: Ax + By = C
Slope-intercept form: y = mx + b
Point-slope form: y - y₁ = m(x - x₁)
Solving inequalities: Treat like equations but reverse the inequality sign when multiplying or dividing by a negative number.
Systems of equations: Solve using substitution, elimination, or graphing.
Midpoint:(X₁+X₂)÷2 , (Y₁+Y₂)÷2
Distance in graph: √((X₂ – X₁)² + (Y₂ – Y₁)²)
Standard form: ax² + bx + c = 0
Factoring, Quadratic Formula: x = -b ± √(b² - 4ac)÷2a
Completing the Square, Vertex Form: y = a(x-h)² + k
Discriminant: Δ = b² - 4ac
Δ > 0: 2 real solutions
Δ = 0: 1 real solution
Δ < 0: No real solutions
Equations: |x| = a → x = a or x = -a
Inequalities:
|x| < a → -a < x < a
|x| > a → x < -a or x > a
Definition: A relation where each input has exactly one output.
Notation: f(x)
Evaluating: Substitute the input value into the function.
Addition/Subtraction: (f ± g)(x) = f(x) ± g(x)
Multiplication/Division: (fg)(x) = f(x)g(x), (f÷g)(x) = f(x)÷g(x) for g(x) ≠ 0
Vertical Shift: f(x) + k
Horizontal Shift: f(x - h)
Reflection: -f(x) or f(-x)
Vertical Stretch/Compression: a · f(x)
Parallel Lines: Corresponding, Alternate Interior, and Alternate Exterior Angles.
Triangle Sum: Sum of interior angles = 180°
Angle Relationships: Adjacent, vertical, and linear pair angles.
Pythagorean Theorem: a² + b² = c²
Special Triangles: 45-45-90 (x, x, x√2) and 30-60-90 (x, x√3, 2x)
Area: ½ × base × height
Equation: (x - h)² + (y - k)² = r²
Circumference: 2πr
Area: πr²
Area of part: (θ/360°)×πr²
SOH-CAH-TOA:
Sine = opposite÷hypotenuse
Cosine = adjacent÷hypotenuse
Tangent = opposite÷adjacent
Radians to Degrees: 1 radian = 180°÷π
Solving Ratios: Cross-multiplication.
Proportional Relationships: Direct and inverse proportions.
Smaller sample size mean a larger margin of error
Larger sample size mean a smaller margin of error
To increase amount by X% multiply it by (1+X÷100) To decrease (1-X÷100)
Percentage:Part÷whole * 100
Mean: Average of a set of numbers SUM OF NUMBER÷AMOUNT OF NUMBERS.
Median: Middle value of a set of numbers.
Mode: Most frequently occurring number.
Range: Difference between highest and lowest values.
Basic Probability: number of favorable outcomes ÷ total number of outcomes
Independent Events: P(A and B) = P(A) × P(B)
Mutually Exclusive Events: P(A or B) = P(A) + P(B) - P(A and B)
Laws of Exponents:
am × an = a(m+n)
(am)n = a(mn)
a(-n) = 1÷an}
Radicals:
√a × √b = √(ab)
√(a÷b) = √a÷√b