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DAT Quantitative Reasoning Formulas Exam Questions and Answers 2024/2025( A+ GRADED 100% VERIFIED). $11.49   Add to cart

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DAT Quantitative Reasoning Formulas Exam Questions and Answers 2024/2025( A+ GRADED 100% VERIFIED).

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DAT Quantitative Reasoning Formulas Exam Questions and Answers 2024/2025( A+ GRADED 100% VERIFIED).

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  • September 16, 2024
  • 6
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • DAT Quantitative Reasoning Formulas
  • DAT Quantitative Reasoning Formulas
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DAT Quantitative Reasoning Formulas
30-60-90 Triangle - ANS x-x(√3)-2x

45-45-90 Triangle - ANS 1-1-(√2)

Midpoint formula - ANS (x₁+x₂)/2, (y₁+y₂)/2

avg the X and Y values

Distance formula - ANS d = √(x₂ - x₁)² + (y₂ - y₁)²

standard deviation (variance) - ANS √(∑(x-xavg)²/n)

Standard deviation = √variance

Law of Sines - ANS sin(A)/a = sin(B)/b = sin(C)/c

Sin and Cos Relationships - ANS sin(θ) = cos(90°-θ)
cos(θ) = sin(90°-θ)

sin(-θ) = -sin(θ)
cos(-θ) = cos(θ)

sin²(θ) + cos²(θ) = 1

Cosecant (csc) - ANS 1/sin = hypotenuse/opposite

Cotangent (cot) - ANS 1/tan = adjacent/opposite

Secant (sec) - ANS 1/cos = hypotenuse/adjacent

Basic Trigonometric Functions - ANS cos = x, sin = y, tan = y/x, cot = x/y

Foci Formula - ANS a²−b²=c²

where x²/a² + y²/b² = 1 and c = distance from origin to foci

Ellipse formula - ANS x²/a² + y²/b² = 1

where a = length of x-axis from origin and b = length of y-axis from origin

, Combination - ANS C(n, r) = n!/r!(n-r)!

when you're trying to choose r out of n, and order does NOT matter

Permutation - ANS P(n,r) = n!/(n-r!)

when you're trying to choose r out of n things, and order does matter (ordered combination)

Distance/Velocity - ANS Distance = velocity x time

Avg velocity = (total distance traveled) / (total time)

Graphing - ANS y = mx + b

where m = slope, b = y-int, x+n is a shift left, x-n is a shift right

Distance between two points = make a right triangle and solve for hyp

Percent Increase/Decrease - ANS [(x₂-x₁)/x₁]∙100 = percent change

Given two numbers x₁ and x₂

Empirical Formula - ANS In a normal (Gaussian) distribution, 68% of the data fall w/in 1δ, 95%
w/in 2δ, and 99.7% w/in 3δ of the mean

68-95-99.7

Polygon Formulas

area
sum of interior angles
# of diagonals - ANS Area = (1/2)∙n∙sin(360/n)∙S²
Sum of interior angles = (n-2)∙180
Number of diagonals = (1/2)∙n(n-3)

n = number of sides
S = length from center to a corner

volume of sphere - ANS (4/3)πr³

Combined Work - ANS 1/t₁ + 1/t₂ + 1/t₃ ... = 1/total

Combinatorics - ANS n!/(a!∙b!∙c!∙...)

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