Formulas you need to memorise

Question 1

Binomial expansion

Answer 1

nC0 x a^n x b^0 + nC1 x a^n-1 x b^1 + nC2….

Question 2

How to find the area under a curve

Answer 2

Integrate

Input the limits and take the smallest away from the largest

Question 3

What’s the trapezium rule

Answer 3

1/2 x height ( 1st value + 2(all the middle values added) + last value)

Height = The interval between the x-values

Question 4

What are the log laws (4)

Answer 4

Power -> nlogcA = logcA^n (number at start becomes power of end number in the term)

Division rule -> logcA - logcB = logc(A/B)

Multiplication rule -> logcA + logcB = logc(AxB)

Equal rule -> logcA = n = A=c^n

Question 5

What’s the equation for a circle

Answer 5

(x - x1)^2 + (y - y1)^2 = r^2

Question 6

What/s the area of a sector in radians and degrees

Answer 6

Rad: x/2pi x pi x r^2
Degrees: x/360 x pi x r^2

Question 7

Perimeter of sector

Answer 7

2r + x/360 x pi x diameter

Question 8

What trig identities do you need to remember for this paper

Answer 8

cos^2x + sin^2x = 1

sinx/cosx = tanx

Question 9

What’s the formula to find a term in a geometric sequence

Answer 9

ar^n-1

Question 10

How to find the common ratio if given 3 terms

Answer 10

3/2 = r

2/1 = r Either one would work

Question 11

What’s the equation for the volume and SA for a cylinder

Answer 11

V: pi x r^2 x height

SA: 2 x pi x r^2 + 2 x pi x r x height

Question 12

How to find if a turning point is minimum or maximum

Answer 12

Second differential and input the x value you have
Positive - minimum
Negative - maximum

Question 13

What’s the proof for the summation of geometric sequences

Answer 13

Sn = a + ar + ar^2
rSn = ar + ar^2 + ar^3

rSn - Sn = a - ar^n
Sn (1 - r) = a (1 - r^n)
Sn = a (1 - r^n) / (1 - r)