Comprehensive List of Formulae for Maths Paper One

Claypigeon

Anyone have one of these? Either compiled themselves that they could send to me via MSN/E-mail or online in any format? Would be much appreciated, I'm just going for the pass in Ordinary and my basic math logic combined with most of the formulae should do the job.

Clay

ps: Probably others in the same boat, I know a good few people who just want the d3 so please respond if you have any lists of the forms

Piste

Well what I can remember (basically the only ones I'm learning) are:

Factor Theorem
Product Rule
Sum Rule
Quotient Rule
Derivation of a cone/sphere
The one where you use induction to prove X^n = nx^(n-1)

Hmm that's all I can remember for paper one...

Think there's a sequence and series proof.


Oops just saw you're doing OL maths so this wont really help you. Should be useful for HL people tho.

SligoBrewer

cos x and sin x as well from first principles..

Claypigeon

Yeah sorry Ordinary level for me, thanks for the response at any rate

Claypigeon

Bump bump bump, no-one has any lists themselves of formulae to read over?

MrDrifter

Front of the papers tells you whats on the syllabus, shouldm give you some idea. I dont know seeing as Im doing higher.

Claypigeon

MrDrifter wrote: »

Front of the papers tells you whats on the syllabus, shouldm give you some idea. I dont know seeing as Im doing higher.

Alright thanks I'll investigate, I think the other thread is getting more notice so I'll keep it to there for more info, thanks loads

CyberWaste

Yeah im the same, just want a pass in O level, and ill be happy. Anyone who could link us or upload a list of the formulae NOT given in the exam would be great.

Claypigeon

CyberWaste wrote: »

Yeah im the same, just want a pass in O level, and ill be happy. Anyone who could link us or upload a list of the formulae NOT given in the exam would be great.

Paper one appears to be mostly applying functions and doing what you're told to on the paper, not many formulas

Know your distance which is used for modulus (Square root of a2 plus b2)

Know your sequence and series formulas:

Arithmetic

Tn = a+(n-1)d

Tn-(Tn-1)=d

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

Geometric

Tn=ar^n-1

Tn/T^n-1= r

Sn = ar^n-1/r-1

Know % error

% error = (estimate - actual) / actual * 100

And how to differentiate which I am currently looking up!

LivingDeadGirl

Lads how do you prove the volume of a cone? I can only find the sphere in my notes

Claypigeon

I'm not sure what you're asking tbh?

LivingDeadGirl

Proving the volume of a cone through integration methods, I have the one for a sphere

Claypigeon

LivingDeadGirl wrote: »

Proving the volume of a cone through integration methods, I have the one for a sphere

Is this Ordinary Level you're talking about.. ?

LivingDeadGirl

No honours

Claypigeon

LivingDeadGirl wrote: »

No honours

I'd reccomend reading the thread then

ayapatrick

LivingDeadGirl wrote: »

Lads how do you prove the volume of a cone? I can only find the sphere in my notes

can you really not find it in the book! shout if ya cant find it! id say your doin honours? its real easy ! five minutes and youl know it!

+great reason to learn them because they havent been up in awhile and predicted to come up(cone and sphere)! heres hopin they do!

ok il rite it out!

put circle on graph with centre (0,0) and r being the raidu! thus you have the limits of -r and r!
x^2 + y^2 = r^2
rearrange to give y^2 = r^2 - x^2

this is integral

pie s (integral symbol) r
-r r^2 - x^2 dx

to give r^2x - x^3/3
hope you can finish, have no time work to do!

LivingDeadGirl

Claypigeon wrote: »

I'd reccomend reading the thread then

What? I can't see it. It's one in the morning, me no think well.

Claypigeon

LivingDeadGirl wrote: »

What? I can't see it. It's one in the morning, me no think well.

:P Just that I did specify it was OL help I was looking for but glad you got the info you needed there

ayapatrick

that is equation of circle with centre (0,0) you have to rearrange! ok

peterc1991

ayapatrick wrote: »

can you really not find it in the book! shout if ya cant find it! id say your doin honours? its real easy ! five minutes and youl know it!

+great reason to learn them because they havent been up in awhile and predicted to come up(cone and sphere)! heres hopin they do!

ok il rite it out!

put circle on graph with centre (0,0) and r being the raidu! thus you have the limits of -r and r!
x^2 + y^2 = r^2
rearrange to give y^2 = r^2 - x^2

this is integral

pie s (integral symbol) r
-r r^2 - x^2 dx

to give r^2x - x^3/3
hope you can finish, have no time work to do!

Isnt volume and all on paper 2? which isn on tomoro

ayapatrick

peterc1991 wrote: »

Isnt volume and all on paper 2? which isn on tomoro

all i know is that
deriving the volume of a cone and sphere by integration methods can come up tomorrow! but yes thats the only volume that will be on this paper afaik!

PlayGirl

a bit late but i found this on google..


1.The only formulae not in the tables for Area and Volume appear to be the hemisphere one [(two-thirds)(pi)(r squared)(h)].

2. Line Co-Ordinate Geometry;
a) Distance: square root of [(x2-x1)squared plus (y2-y1)squared]
b) Midpoint: [(x1+x2 over 2) , (y1+y2 over 2)] (you end up with two co-ordinates)
c) Slope: m= [(y2-y1) over (x2-x1)]
d) Eqn of line: y - y1 = m(x - x1)
e) Area of triangle [with one vertice (0, 0)]: Half |x1y2 - x2y| (if there isn't one 0, 0 co-ordinate, you'll have to map one of them onto it, and then alter the other vertices to allow it)

3. Circle Co-Ordinate Geometry;
a) Eqn of a circle with centre (0, 0): x squared + y squared = r squared
b) Eqn of circle with centre (h, k) and radius r: (x - h)squared + (y - k)squared = (r)squared

4. Trigonometry;
a) SohCahToa
b) Pythagoras theorem: (x)squared + (y)squared = (h)squared
c) Radian Measure: pi = 180 degrees, pi over 2 = 90 degrees etc.
d) "CAST" quadrant; 1st (A) = All positive, 2nd (S) = Sin positive, Cos and Tan negative etc.

5. Probability;
a) Permutations: The number of arrangements of n different objects is n! (n factorial; ie if n=6, n! = 6x5x4x3x2x1.)
b) Combinations: (n choose r) = n(n - 1) over r!
c) Probability: P(E) = number of favourable outcomes in E over number of possible outcomes.
d) Addition: P(A or = P(A) + P(B) - P(A and
e) Multiplication: P(A and = P(A) x P(B)

6. Statistics;
a) Mean: Sum of numbers over number of numbers = conjugate of x
b) Mode: Number which occurs most frequently.
c) Middle number of a list written in ascending order.
d) Standard Deviation:
i. Calculate the mean
ii. Find the deviation of each variable from the mean
iii. Square the deviations.
iv. Add the squares and divide by the number of numbers.
v. Get the square root of the result.
e) Cumulative Frequency Curves: Median = middle value of the distribution, Interquartile Range is one quarter and three quarters of the distribution.

7. Linear Programming;
a) Graphing Inequalities:
i. Find two points on the line ax + by + c = 0 and plot the line
ii. Select a point, generally (0, 0) which is not on the line. Sub into inequality.
If the point satisfies the inequality, belongs to the required half-plane. If not, it belongs to the other.
b) How to answer Linear Programming Questions:
i. x represents one unknown, y the other.
ii. Write inequalities in x and y to represent given info.
iii. Graph the inequalities and indicate the region these intersect.
iv. Find co-ordinates of the vertices of this region
v. Write down the expression in x and y which has to be maximised or minimised.
vi. Evaluate this expression at each vertex of the region. This will determine the number of x and y which will maximise or minimise the expression.