Mathematical Formulas Quiz
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Questions and Answers

What is the formula for the area of a parallelogram?

  • 2L + 2B
  • b + h
  • L x B
  • b x h (correct)

Which formula represents the profit in a business transaction?

  • Profit = SP x CP
  • Profit = CP / SP
  • Profit = SP + CP
  • Profit = SP – CP (correct)

What value do you get when raising a variable to the power of zero?

  • The value of the variable itself
  • 1 (correct)
  • 0
  • Undefined

Which formula is used to calculate the circumference of a circle?

<p>2πr (D)</p> Signup and view all the answers

What is the formula for calculating the volume of a cylinder?

<p>πr²h (B)</p> Signup and view all the answers

Which formula correctly calculates the area of a triangle?

<p>1/2 x b x h (D)</p> Signup and view all the answers

Which of these formulas represents the law of exponents correctly?

<p>a^m x a^n = a^(m+n) (D)</p> Signup and view all the answers

What is the formula for calculating density?

<p>Density = M/V (C)</p> Signup and view all the answers

Flashcards

Area of a rectangle

The formula for calculating the area of a rectangle is length multiplied by width.

Circumference of a circle

The formula for calculating the circumference of a circle is 2 multiplied by pi multiplied by the radius.

Area of a circle

The formula for calculating the area of a circle is pi multiplied by the radius squared.

Volume of a rectangular prism

This formula calculates the volume of a rectangular prism, length multiplied by width multiplied by height.

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Density formula

This formula calculates the density of an object by dividing its mass by its volume.

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Volume of a sphere

This formula calculates the volume of a sphere, four-thirds multiplied by pi multiplied by the cube of the radius.

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Speed formula

This formula calculates the speed of an object by dividing the distance traveled by the time taken.

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Simple Interest formula

This formula calculates the simple interest earned on an investment by multiplying the principal, the rate of interest, and the time period.

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Study Notes

Area and Volume Formulas

  • Area of a rectangle: Length × Width
  • Area of a circle: πr²
  • Circumference of a circle: 2πr
  • Area of a triangle: ½ × base × height
  • Area of a trapezium: ½ × h × (a + b)
  • Surface area of a cuboid: 2(wl + lh + hw)
  • Surface area of a cylinder: 2πr(r + h)
  • Volume of a rectangle: length × width × height
  • Volume of a square: side³
  • Volume of a cylinder: πr²h
  • Volume of a sphere: ⁴/₃πr³

Other Mathematical Formulas

  • Population density: Population/Area
  • Simple Interest: SI = PTR/100
  • (a + b)² = a² + 2ab + b²
  • (a - b)² = a² - 2ab + b²
  • a² - b² = (a + b)(a - b)
  • am × an = am+n
  • am ÷ an = am-n
  • (am)n = amn
  • a⁰ = 1
  • a⁻m = 1/am
  • Tn = an² + bn + c
  • Tn = an³ + bn² + cn + d
  • Tn = arn⁻¹
  • y × x = kx
  • Gradient = (y₂ - y₁)/(x₂ - x₁)
  • Midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)
  • Interior angle sum = 180(n - 2)
  • Exterior angle = 360/n
  • Area of parallelogram: b × h
  • Net pay: Gross pay – Deduction
  • Profit: Selling price – Cost price
  • Loss: Cost price – Selling price
  • P% of CP = P/100 × CP
  • L% = L/100 × CP
  • Volume of pyramid: ⅓ × base area × height
  • sinθ = Opposite/Hypotenuse
  • cosθ = Adjacent/Hypotenuse
  • tanθ = Opposite/Adjacent
  • a² + b² = c² (Pythagorean Theorem)
  • Sine rule: a/sin A = b/sin B = c/sin C
  • Area of triangle: ½ × ab × sin C
  • Mean = sum of values/number of values
  • Interquartile range: Q₃ - Q₁
  • Diagonal = √l² + w² + h²
  • term = (11+r(cf)−width of range)/100 × values

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Description

Test your knowledge of essential area, volume, and other mathematical formulas in this quiz. Covering a range of topics from geometry to algebra, this quiz is perfect for students studying mathematics. Challenge yourself and see how well you understand these core concepts!

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