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trivia quiz questions
Test your knowledge on mathematical concepts, from basic arithmetic to calculus and more.
What is the formula for finding the area of a circle sector?
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(θ/360)πr²
What is the formula for finding the surface area of a cube?
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6s²
What is the formula for finding the volume of a pyramid?
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(1/3)Bh
What is the formula for finding the nth term of an arithmetic sequence?
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a + (n-1)d
What is the formula for finding the surface area of a rectangular prism?
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2lw + 2lh + 2wh
What is the formula for finding the area of a circle?
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πr²
What is the formula for finding the hypotenuse of a right triangle?
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c = √(a² + b²)
What is the formula for finding the perimeter of a circle?
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2πr
What is the formula for finding the perimeter of a square?
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4s
What is the formula for finding the inverse Fourier transform of a function?
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f(t) = (1/2π) ∫₋∞^∞ F(ω) eⁱωt dω
What is the formula for finding the nth term of a geometric sequence?
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ar⁽ⁿ⁻¹⁾
What is the formula for finding the sum of an infinite geometric series?
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a / (1 - r)
What is the formula for finding the area of a regular polygon?
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(1/2)ap
What is the formula for finding the integral of a function?
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∫f(x)dx
What is the formula for finding the perimeter of a rectangle?
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2(l + w)
What is the formula for finding the distance between two points?
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√((x₂ - x₁)² + (y₂ - y₁)²)
What is the formula for finding the slope of a line?
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(y₂ - y₁) / (x₂ - x₁)
What is the formula for finding the Laplace transform of a function?
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F(s) = ∫₀^∞ e⁻ˢ f(t) dt
What is the formula for finding the volume of a sphere?
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(4/3)πr³
What is the formula for finding the volume of a rectangular pyramid?
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(1/3)lwh
What is the formula for finding the area of a triangle?
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(1/2)bh
What is the formula for finding the curl of a vector field?
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curl(F) = (∂Q / ∂y - ∂P / ∂z)i + (∂R / ∂z - ∂P / ∂x)j + (∂P / ∂y - ∂Q / ∂x)k
What is the formula for finding the volume of a cone?
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(1/3)πr²h
What is the formula for finding the surface area of a cone?
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πr(r + √(h² + r²))
What is the formula for finding the partial derivative of a function?
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∂f(x,y) / ∂x
What is the formula for finding the area of a kite?
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(d₁d₂)/2
What is the formula for finding the distance between two points?
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d = √((x₂ - x₁)² + (y₂ - y₁)²)
What is the formula for finding the probability of an event?
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P(E) = (# of favorable outcomes) / (# of possible outcomes)
What is the formula for finding the volume of a torus?
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2π²Rr²
What is the formula for finding the midpoint of a line segment?
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((x₁ + x₂) / 2, (y₁ + y₂) / 2)
What is the formula for finding the surface area of a triangular prism?
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2B + Ph
What is the formula for finding the Fourier transform of a function?
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F(ω) = ∫₋∞^∞ f(t) e⁻ⁱωt dt
What is the formula for finding the area of a sector?
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(θ/360)πr²
What is the formula for finding the angle between two lines?
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tan⁻¹((m₂ - m₁) / (1 + m₁m₂))
What is the formula for finding the surface area of a rectangular prism?
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2lw + 2lh + 2wh
What is the formula for finding the sum of a geometric sequence?
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a(1 - rⁿ) / (1 - r)
What is the formula for finding the standard deviation?
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√(Σ(xᵢ - μ)² / n)
What is the value of pi (π)?
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3.14159265359
What is the formula for finding the area of a rhombus?
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(d₁d₂)/2
What is the formula for finding the derivative of a function?
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lim(h → 0) [f(x + h) - f(x)] / h
What is the formula for finding the volume of a tetrahedron?
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(1/3)Bh
What is the formula for finding the limit of a function?
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lim(x → c) f(x)
What is the formula for finding the divergence of a vector field?
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div(F) = (∂P / ∂x) + (∂Q / ∂y) + (∂R / ∂z)
What is the formula for finding the inverse Laplace transform of a function?
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f(t) = (1/2πi) ∫γ eˢ F(s) ds
What is the formula for finding the Laplacian of a function?
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∇²f = (∂²f / ∂x²) + (∂²f / ∂y²) + (∂²f / ∂z²)
What is the formula for finding the sum of an arithmetic sequence?
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n/2(2a + (n-1)d)