Formulae Flashcards

1
Q

Sum of interior angles

A

180x(n-2)

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2
Q

Area of rectangle

A

bh

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3
Q

Area of triangle

A

1/2 bh

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4
Q

Area of parallelogram

A

bh

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5
Q

Area of trapezium

A

1/2(a+b)h

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6
Q

Surface area of cuboid

A

Sum of all faces

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7
Q

Volume of a prism

A

Cross section x length

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8
Q

Circle circumference

A

π x d

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9
Q

Area of a circle

A

πr^2

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10
Q

Length of an arc

A

(sector angle / 360) x 2πr

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11
Q

Sector area

A

(sector angle / 360) x πr^2

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12
Q

Curved surface area of cylinder

A

2πrh

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13
Q

Volume of a cylinder

A

πr^2h

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14
Q

Volume of a cone

A

1/3πr^2h

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15
Q

Curved surface area of cone

A

πrl

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16
Q

Volume of sphere

A

4/3πr^3

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17
Q

Surface area of sphere

A

4πr^2

18
Q

Hypotenuse of a right angled triangle (Pythagoras’ Theorem)

A

a^2 + b^2 = c^2

19
Q

Distance between points

A

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

20
Q

sine 0️⃣

A

opposite / hypotenuse

21
Q

cos 0️⃣

A

adjacent / hypotenuse

22
Q

tan 0️⃣

A

opposite / adjacent

23
Q

opposite =

A

sin x hypotenuse

24
Q

adjacent =

A

cos x hypotenuse

25
Q

hypotenuse =

A

adjacent x tan

26
Q

AX x BX =

A

CX x DX

27
Q

Median position

A

(n+1) / 2

28
Q

Frequency density =

A

frequency / class width

29
Q

Lower quartile position

A

1/4(n+1)

30
Q

Upper quartile position

A

1/4(n+1)

31
Q

Interquartile range

A

upper - lower

32
Q

Probability

A

number of favourable outcomes / total number of possible outcomes

33
Q

P(a does not happen)

A

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

34
Q

Average speed

A

total distance / total time

35
Q

Density

A

mass / volume

36
Q

Perfect square

A

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

37
Q

Completing the square

A

(x+a)^2 + b

38
Q

Quadratic equation formula

A

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

39
Q

Sine rule

A

a/sinA = b/sinB and flipped

40
Q

Cosine rule

A

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

41
Q

Area of a triangle using trigonometry

A

1/2ab sinC

42
Q

Freebie

A

Wheeeeee