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)
What is the cosine rule to find angle C?
Cos C = (a² + b² - c²) ÷ (2ab)
In trigonometry, what do the small case and capital case letters present?
Small case letters present the sides whereas the capital case letters present the angles
What is the formula to find the area of a triangle when angle A is given?
1/2bc x Sin A
What is the formula to find the area of a triangle when angle B is given?
1/2ca x Sin B
What is the formula to find the area of a triangle when angle C is given?
1/2ab x Sin C
