Podcast
Questions and Answers
What is the formula for the area of a parallelogram?
What is the formula for the area of a parallelogram?
Which formula represents the profit in a business transaction?
Which formula represents the profit in a business transaction?
What value do you get when raising a variable to the power of zero?
What value do you get when raising a variable to the power of zero?
Which formula is used to calculate the circumference of a circle?
Which formula is used to calculate the circumference of a circle?
Signup and view all the answers
What is the formula for calculating the volume of a cylinder?
What is the formula for calculating the volume of a cylinder?
Signup and view all the answers
Which formula correctly calculates the area of a triangle?
Which formula correctly calculates the area of a triangle?
Signup and view all the answers
Which of these formulas represents the law of exponents correctly?
Which of these formulas represents the law of exponents correctly?
Signup and view all the answers
What is the formula for calculating density?
What is the formula for calculating density?
Signup and view all the answers
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
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
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!