Formulae for both foundation and higher Flashcards
What is the formula for density?
Density = Mass ÷ Volume
How is speed calculated?
Speed = Distance ÷ Time
What is the formula for pressure?
Pressure = Force ÷ Area
How do you find the area of a square/rectangle?
Length x Width
How do you work out the area of a parallelogram?
Base x Height
What is the formula to find out the area of a trapezium?
1/2 x (Top + Base) x Height
How do you find the area of a triangle?
1/2 x Base x Height
How do you work out the circumference of a circle?
π x Diameter
How do you find the area of a circle?
π x (Radius)²
What does the quadratic formula look like?
x = (-b±√(b²-4ac)) ÷ (2a)
What is the standard form of the quadratic equation?
ax² + bx + c = 0 where a ≠ 0 (a is NOT 0)
How do you find the volume of a cube/cuboid?
Length x Width x Height
What is the formula to find out the area of a prism?
Area of cross section x Length
How you find out the area of a cylinder?
π x (Radius)² x Height
How do you work out the volume of a pyramid?
1/3 x Area of base x Height
What does Pythagoras theorem look like?
c² = a² + b² (where c is the hypotenuse, a and b are the other sides)
What are the trigonometric ratios?
Sin = Opposite ÷ Hypotenuse Cos = Adjacent ÷ Hypotenuse Tan = Opposite ÷ Adjacent
What is the sine rule to find the length?
(a ÷ Sin A) = (b ÷ Sin B) = (c ÷ Sin C)
What is the sine rule to find the angle?
(Sin A÷ a) = (Sin B ÷ b) = (Sin C ÷ c)
What is the cosine rule to find length a?
a² = (b² + c² -2bc) x (Cos A)
What is the cosine rule to find length b?
b² = (a² + c² - 2ac) x (Cos B)
What is the cosine rule to find length c?
c² = (a² + b² -2ab) x (Cos C)
What is the cosine rule to find angle A?
Cos A = (b² + c² - a²) ÷ (2bc)
What is the cosine rule to find angle B?
Cos B = (c² + a² - b²) ÷ (2ca)
