Maths Facts & Formulae Flashcards

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1
Q

Quadratic Formula

A

(−b ± √b^2 − 4ab)/2a

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2
Q

Pythagorean theorem

A

a^2 + b^2 = c^2

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3
Q

Area of a triangle

A

1/2 * base * height or 1/2*ab sin(C) (C is the angle between a and b)

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4
Q

Cosine rule

A

a^2 = b^2 +c^2 - 2bc cos(A)
OR
cos(A) = (b^2 + c^2 - a ^2) / 2
bc

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5
Q

Sine rule

A

(sin(A))/a = (sin(B))/b = (sin(C))/c

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6
Q

sin(0)

A

0

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7
Q

cos(0)

A

1

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8
Q

Tan(0)

A

0

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9
Q

sin(30)

A

1/2

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10
Q

cos(30)

A

(√3)/2

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11
Q

Tan(30)

A

1/√3

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12
Q

sin(45)

A

1/√2

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13
Q

cos(45)

A

1/√2

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14
Q

Tan(45)

A

1

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15
Q

sin(60)

A

(√3)/2

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16
Q

cos(60)

A

1/2

17
Q

Tan(60)

A

√3

18
Q

sin(90)

A

1

19
Q

cos(90)

A

0

20
Q

area of a parallelogram

A

base * perpendicular height

21
Q

area of a trapezium

A

1/2(a + b)h

22
Q

Area of a circle

A

πr^2

23
Q

circumference of a circle

A

2πr

24
Q

Area of a sector

A

θ/360 * πr^2

25
Q

length of an Arc

A

θπr/180

26
Q

equation linking pressure force and area

A

pressure = force / area

27
Q

equation linking density mass and volume

A

density = mass/volume

28
Q

equation linking pressure force and area

A

pressure = force over area

29
Q

exterior angle of a polygon

A

360/n

30
Q

interior angle + exterior angle

A

=180

31
Q

Volume of a Prism

A

area of cross section * length

32
Q

Volume of a cylinder

A

πr^2h

33
Q

Volume of a pyramid

A

1/3 * area of base * h

34
Q

volume of a cone

A

1/3πr^2h

35
Q

curved surface area of a cone

A

πrl

36
Q

volume of a sphere

A

4/3*πr^3