All Things Mathematics is a website dedicated to learn math in a fun, easy and creative way

Find the value of the 9log34 without using log tables or log values? Things to Remember: Logarithm Rules: Multiplication Rule: Logb mn = Logb m + Logb n Division Rule:Logb (m/n) = Logb m – Logb n Exponent Rule:Logb mn = n Logb m Log to the Same Base Rule: Logb b = 1 Click […]

Posted in: *Log Rules, Logarithms*

*October 29, 2014*

In the given figure ABCD is a square. A circle is drawn in such a way that it passes from point B and touches AD and CD at E and F respectively. A line OB is drawn perpendicular to EF. Given that OB = 6 cm, find the area of the square. Assume that center […]

*October 15, 2014*

If Sin8ϴ + Cos8ϴ = 17/32 for 0≤ ϴ<π. Find the sum of all possible values of ϴ? Click for solutions to Advanced Trigonometric Equations

Posted in: *Trignometry, Trigonometric Equations*

*October 5, 2014*

1. What is the probability that in a given non leap year there will be 53 Sundays? 2. What is the probability that in a leap year there will be 53 Sundays? Click for Solution to Probability Problems

Posted in: *probability*

*October 4, 2014*

Solve the following: Two sides of a square lie on the straight lines “2x+3y +7 =0″ and “2x+3y+11 = 0″. If the area of the square can be written as “a/b” where a and b are positive co-prime integers, find the value of a+b? Things to Remember: Distance Between Parallel Lines: b1 = Y […]

*October 2, 2014*

How many cubes of size 2 must be added to a cube of size 8 to make it a size 12 cube? Click for Cube Solution

*September 24, 2014*

Find the sum of the following sequence: 1. 13+23+33+43+ ————- + n3 2. (1 x 2) +(2 x 3)+(3 x 4)+———-+[n x (n+1)] Click for Solution to Sum of Cubes – Example 1 Click for solution to Sum of Series – Example 2 Click for Sum of Squares

Posted in: *Sequence of Numbers*

October 30, 20140