O Level – Additional Mathematics

[adminMember]

O Level Add Maths Tuition Singapore/Tuition O Level A Maths/Tutor

Please post your O Level Additional Mathematics questions here

Thank

[Natasha Tai Qian HuiParticipant]

help me to calculate the following sum:
1/2 + 2/4 + 3/8 + 4/16 + …….+ 10/2 to the power of 10.
thanks!

[adminMember]

O Level Additional Mathematics Tuition Singapore

Will show u in the coming lesson

O Level Additional Tutor Singapaore

[Natasha Tai Qian HuiParticipant]

Please help me solve the following sums.
1. The prime factorisation of two numbers are 2, 3 to the power of 2, 7 to the power of 3 and 13 and 3, 7 to the power of 2, 13 to the power of 3 and 17. Write down, in ascending order, all the common factors which are less than 100.

2. Find all the possible values of the digits x and y if the six digit number 123x4y is divisible by 36.

I need to hand this worksheet up by Friday.
Thanks!
Natasha Tai

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Not so clear in your first question, call me when you are free

Q2) No choice use trial and error but y has to a even number and x can be from 1 to o

O-Level Additional Mathenatics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Commom Error in log

log(x + y) NOT EQUAL TO log x + log y
log(x – y) NOT EQUAL TO log x – log y

log(xy) = log x + log y
log(x/y) = log x – log y

O-Level Additional Mathenatics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Roots of Quadractic Equation

1) When the line cut the curve at 2 points
b^2 – 4ac > o

2) when the line is tangent to the curve
b^2 – 4ac = o

3) When the line does not intercept the curve
b^2 – 4ac < o

O-Level Additional Mathenatics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Remainder Theorem

If a polynomial f(x) is divided by linear divisor x – a, the remainder is f(a)

Factor Theorem

If x -a is a factor of the polynomial f(x) then f(a) = 0

O-Level Additional Mathenatics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Increasing and Decreasing Functions

1. When dy/dx > 0 the function is increasing.

2. When dy/dx < o the function is decreasing.

3. When dy/dx = o , there is a turning point or point of inflexion

4. Second derivative maximum point

5. Second derivative > 0 => minimum point

6. Second derivative = 0 we cannot conclude that it is a point of inflexion. We need to use the first derivative test to determine the nature.

O-Level Additional Mathenatics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Please be inform that 2013 Add Math Tuition Schedule is posted on the website under the tag Class Schedule

O-Level Additional Mathematics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Please be inform new class starting 10 Jan 2013 – Thu 6 pm to 8 pm

O-Level Additional Mathematics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Partial Fraction

There are 3 types of partial fraction

1. Linear factor ax+b

Example 5x+1/(x-1)(x+2) = A/(x-1) + B/(x+2)

2. Repeated linear factor (ax+b)^2

Example (x+1)/(x-1)^2 = A/(x-1) + B/(x-1)^2

3. Quadratic factor x^2+c^2 which cannot be factorised

Example (x^2-3x-12)/(x^2+4)(x+2) = (Ax+B)/(x^2+4) + C/(x+2)

O-Level Additional Mathematics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Sum and Product of Roots

Quadratic Equation
ax^2 + bx + c = 0

x = -b +- Sq rt (b^2 – 4ac) / 2a

Sum of roots = -b/a

Product of roots = c/a

Equation : x^2 – (sum of roots)x + (product of roots) = 0

O-Level Additional Mathematics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Memorise all the differentiation formulae and differentiation techniques

1. d/dx(X^n) = nX^n-1
2. d/dx (sin X) = cos X
3. d/dx (cos X) = -sin X
4. d/dx (tan X) = sec^2 X
5. d/dx (e^x) = e^x
6. d/dx (lnX) =1/X

Chain Rule
dy/dx = dy/du x du/dx

Product Rule
d/dx (uv) = udv/dx + vdu/dx

Quotient Rule
d/dx (u/v) = (vdu/dx – udv/dx) / v^2

O-Level Additional Mathematics Tutor

[adminMember]

O-Level Additional Mathematics Tuition Singapore

Trigonometric Functions

sin x = opp/hpo
cos x = adj/hpo
tan x = opp/adj

sin(90-x) = cos x
cos(90-x) = sin x
tan(90-x) = 1/tan x

cos(-x) = cos x
sin(-x) = -sin x
tan(-x) = -tan x

O-Level Additional Mathematics Tutor

[Author]

Posts