Cubes – Mind Bender

October 2, 2014

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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

Posted in: Cube, Geometry, Volume

Find the Sum of the following Sequence of Numbers

September 24, 2014

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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

Solve the Equation Below to Find m+n

September 18, 2014

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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

SAT Question of the Day – Find the Area of the Square

September 15, 2014

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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

SAT Question of the Day – Find the Area of the Shaded Region

September 12, 2014

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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

Binomial Theorem – Additional Practice Examples

September 8, 2014

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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 […]

Binomial Theorem – Practice Examples

September 4, 2014

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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

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