Formulae Flashcards by two direction

Q

Sum of interior angles

A

180x(n-2)

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Q

Area of rectangle

A

bh

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Q

Area of triangle

A

1/2 bh

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Q

Area of parallelogram

A

bh

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Q

Area of trapezium

A

1/2(a+b)h

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Q

Surface area of cuboid

A

Sum of all faces

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Q

Volume of a prism

A

Cross section x length

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Q

Circle circumference

A

π x d

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Q

Area of a circle

A

πr^2

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Q

Length of an arc

A

(sector angle / 360) x 2πr

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Q

Sector area

A

(sector angle / 360) x πr^2

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Q

Curved surface area of cylinder

A

2πrh

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Q

Volume of a cylinder

A

πr^2h

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Q

Volume of a cone

A

1/3πr^2h

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Q

Curved surface area of cone

A

πrl

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Q

Volume of sphere

A

4/3πr^3

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Q

Surface area of sphere

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A

4πr^2

Q

Hypotenuse of a right angled triangle (Pythagoras’ Theorem)

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A

a^2 + b^2 = c^2

Q

Distance between points

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A

root of ((x2 - x1)^2 + (y2 - y1))

Q

sine 0️⃣

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A

opposite / hypotenuse

Q

cos 0️⃣

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A

adjacent / hypotenuse

Q

tan 0️⃣

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A

opposite / adjacent

Q

opposite =

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A

sin x hypotenuse

Q

adjacent =

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A

cos x hypotenuse

hypotenuse =

adjacent x tan

AX x BX =

CX x DX

Median position

(n+1) / 2

Frequency density =

frequency / class width

Lower quartile position

1/4(n+1)

Upper quartile position

1/4(n+1)

Interquartile range

upper - lower

Probability

number of favourable outcomes / total number of possible outcomes

P(a does not happen)

P(a or b) = P(a) + P(b)

Average speed

total distance / total time

Density

mass / volume

Perfect square

x^2 + 2ax + a^2 = (x+a)^2

Completing the square

(x+a)^2 + b

Quadratic equation formula

x = (-b +or- root of b^2 - 4ac) / 2a

Sine rule

a/sinA = b/sinB and flipped

Cosine rule

a^2 = b^2 + c^2 - 2bc cosA cosA = (b^2 + c^2 - a^2) / 2bc

Area of a triangle using trigonometry

1/2ab sinC

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