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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*

*September 18, 2014*

Given that 1. ambn = x and 2. cmdn = y Find the value of m+n? Hint: Use the log function to solve the problem Click for Log Rules Click for solution to Log Problems

Posted in: *Log Rules, Logarithms, Logarithms*

*September 15, 2014*

In the figure below Triangle ABC is a right triangle with angle B = 900. Each of the sides AB = BC = 6 units. Find the area of the red square Hint: Use the concept of similar triangles to solve the problem Click for solution to Question of Day – Sep 15th solution

Posted in: *Area, Geometry, Right Triangles, SAT, SAT Questions, Triangles*

*September 12, 2014*

In the figure below, ABCD is a square with sides 20 units. The four shaded leaves are formed by circles whose diameter is 20 units. Find the area of the 4 shaded leaves? Click for solution to SAT Question of Day

Posted in: *Area, Circle, Geometry, SAT Questions, Squares*

*September 8, 2014*

Problem 1: The second, third and fourth terms in the expansion (x+a)n are 240, 720 and 1080 respectively. Find the values of x, a and n Problem 2: The sum of coefficients of the first three terms in the expansion below is 559. Also x ≠ 0 and m is a natural number. Find the term containing […]

Posted in: *Binomial theorem, General Term*

*September 4, 2014*

1. Expand (1-2x)5 using the binomial theorem 2. Find the coefficient of x5 in the expansion (x+3)8 Things to Remember: Binomial Theorem: (r+1)th Term in the Expansion: Combination Formula: Click for solution to Problem 1 and 2

Posted in: *Binomial theorem, General Term*

October 2, 20140