Formulae Flashcards

1
Q

Percentage change

A

Percentage change = (difference / original) x 100

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2
Q

Compound interest

A

N = Ni (1 + r/100)^n

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3
Q

Nth term of a sequence

A

Un = a + (n-1)d

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4
Q

Sum of a sequence where the last term is known

A

Sn = n/2(a + L)

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5
Q

Sum of a sequence where the last term is unknown

A

Sn = n/2[a + (n-1)d]

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6
Q

Equation of a straight line (3 answers)

A

y = mx + c

ax + by + c = 0

y - y1 = m(x - x1)

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7
Q

Area of a circle

A

πr²

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8
Q

Circumference of a circle (2 answers)

A

πd

2πr

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9
Q

Frequency density

A

Frequency density = frequency / class width

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10
Q

Mean

A

Mean = sum of values / number of values

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11
Q

Range

A

Range = largest value - smallest value

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12
Q

Inter-quartile range

A

IQR = UQ - LQ

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13
Q

Direct proportion

A

y ∝ x

y = kx

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14
Q

Inverse proportion

A

y ∝ 1/x

y = k/x

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15
Q

Probability

A

P = number of specified item / total number of items

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16
Q

Pythagoras’ theorem

A

a² + b² = c²

17
Q

Sine rule

A

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

18
Q

Cosine rule

A

a² = b² + c² - 2bc cosA

19
Q

Internal intersection in a circle

A

AP x PB = CP x PD

20
Q

External intersection

A

AP x PB = CP x PD

21
Q

Density

A

d = m/V

22
Q

Average speed

A

v = s/t

23
Q

Pressure

A

p = F/A

24
Q

Quadratic formula

A

x = [-b ± √(b² - 4ac)]/2a

25
Q

The discriminant

A

b² - 4ac

26
Q

Volume of a sphere

A

V = 4/3(πr^3)

27
Q

Surface area of a sphere

A

A = 4πr²

28
Q

Volume of a cone

A

V = 1/3πr²h

29
Q

Surface area of a cone

A

A = πrl + πr²

30
Q

Volume of a cylinder

A

V = πr²h

31
Q

Surface area of a cylinder

A

A = 2πr² + 2πrh

32
Q

Area of a triangle

A

A = 1/2 ab sinC

33
Q

Area of a trapezium

A

A = ((a+b)h)/2

34
Q

Scale factor for area

A

SFlength ²

35
Q

Scale factor for volume

A

SFlength^3