Exam Revision Flashcards
Simplify the surd √50.
5√2.
What methods can be used to solve simultaneous equations?
Use substitution or elimination.
What is Pythagoras’ Theorem?
a² + b² = c².
What is the formula for the area of a rectangle?
A = l × w.
What is the formula for the area of a circle?
A = πr².
What is the formula for the area of a triangle?
A = 1/2 bh.
What is the volume formula for a sphere?
V = 4/3 πr³.
What is the surface area formula for a sphere?
SA = 4πr².
What is the volume formula for a cylinder?
V = πr²h.
What is the surface area formula for a cylinder?
SA = 2πr² + πrh
What is the volume formula for a cone?
V = 1/3 πr²h.
What is the Quadratic Formula?
x = (-b ± √(b² - 4ac))/(2a).
What is the equation for a linear graph?
y = mx + c.
How do you calculate the slope (m) of a linear graph?
m = Δy/Δx.
What is the shape of a quadratic graph?
Parabola.
What is the Sine Rule?
a/sin A = b/sin B = c/sin C.
What is the Cosine Rule?
c² = a² + b² - 2ab cos C.
What is the formula for the area of a triangle using sine?
A = 1/2 ab sin C.
How do you apply trigonometry in 3D?
Use Pythagoras + SOHCAHTOA in multiple planes.
How do you find the area of a Kite?
1/2 ab (A is the width B is the height)
How do you find the area of a trapezium?
1/2 (a+b)h
(A is the top lenght, B is the bottom lenght)
Area of a parallelogram?
ab x sin (θ)
Circumference of a circle?
2πr
Arc lenght formula?
θ/360 x 2πr
Sector Area formula?
θ/360 x πr²
How do you find the area of a minor segment?
Area of sector - Area of chord triangle
How many mm² is 1cm²?
100mm²
How many cm² is 1 m²?
10000cm²
How many m² is 1 km² ?
1000000m²
Formula for the volume of a prism?
Area of Cross Section x Lenght
Formula for volume of pyramids?
1/3 base area x height
Surface area formula of Cones?
πrl
(l is the slant lenght)
