Pure mathematics is, in its way, the poetry of logical ideas. --- Albert Einstein ...Economics is nothing but Mathematics -Dr.Ahsan Abbass...Symmetry is Ornament of Mathematics-Zulfiqar Ali Mir...Law of Nature are But Mathematical Thoughts of God - Euclid (Father of Geometry)...Mathematics is about Number and pattern among these nos.-Sir Zulfiqar A Mir,... Number Theory is Foundation of Mathematics-Sir Zulfiqar Ali Mir

Saturday, 14 March 2020

Calculate the Perimeter of the Shape - Exercise 27.11 Question 1 (b)

Cambridge IGCSE Mathematics: Core & Extended, 3rd EditioneE

Exercise 27.11 Question 1 (b)

Calculate the Perimeter of the Shape (Sector of Circle)



Method 1
Slander Website for Solution - Method 1
















Method 2   at MIR GLOBAL ACADEMY


 




Sunday, 15 December 2019

KEY POINTS FROM MATRIC MATHEMATICS



COROLLARY: These are formulas or Statements derived from main Formula / Theorem.


  • Theorem may have many proofs.
  • For convenience Figures may be shown separately from main figure.
  • Pythagoras' theorem can be proved using proportionality of the sides of two similar triangles. Its converse can be proved using Congruent Triangles (SSS).


How to prove the basic theorems in geometry?

(Google Search)

1. Use the previous theorems, postulates, definitions and properties you already learned to prove new theorems. That's the principle of geometry, as you go by the lessons, you use what you learned before to learn new lessons.

2. Label the Drawing

3. Know where you are going (Given and Have to Prove)
Actually you can use two kinds of proving:
  1. Direct and
  2. Indirect.
In direct, you prove step by step until you come up with the desired statement.

In the other hand, indirect proving is when you prove the opposite of what you want to prove.

Sunday, 28 July 2019

Calculating Time using Casio Calculator for IGCSE, O' Level Mathematics Paper



Calculator Skills

Calculating Time using Casio Calculator for IGCSE, O level Mathematics Paper




This video demonstrate Calculating Time Taken for O'Level, IGCSE Mathematics Paper using Casio Calculator.

Student can find such question in their Mathematics paper in topic like:
1. Time Taken
2. Travel Graphs
3. Distance, Time and Speed 

Sunday, 20 July 2014

Muslim Mathematician

Muslim Mathematician

Abu Ja'far Muhammad ibn Musa Al-Khwarizmi

Born: about 780 in possibly Baghdad (now in Iraq)
Died: about 850



This is taken from a stamp from the former USSR


Tuesday, 11 February 2014

Rate (mathematics)

Rate (mathematics)


In mathematics, a rate is a ratio between two measurements with different units. If the unit or quantity in respect of which something is changing is not specified, usually the rate is per unit time. However, a rate of change can be specified per unit time, or per unit of length or mass or another quantity.

A rate defined using two numbers of the same units (such as tax rates) or counts (such as literacy rate) will result in a dimensionless quantity, which can be expressed as a percentage (for example, the global literacy rate in 1998 was 80%) or fraction or as a multiple.


  • An average rate can be calculated using the total distance travelled between a and b, divided by the travel time
  • An instantaneous rate can be determined by viewing a speedometer.
  • Sunday, 9 February 2014

    Minimum Point of a Quadratic Graph

    Minimum Point of a Quadratic Graph

    Differentiating the function and setting its derivative to 0 is the fastest way however if you do not know calculus then an alternate method is to complete the square

    But for any quadratic in the form ax^2 + bx +c, where a, b and c are constants: the lowest point is when 
    x = -b/2a.