Category Archives: Algebra

Total number of integer ordered pairs that satisfy the difference between Arithmetic mean and Geometric mean is 1

Posted on June 25, 2024 by Sumant Sumant

Suppose (a,b) are non negative integers such that and . Find the number of ordered pairs that satisfy the above condition. (Australian Mathematical Olympiad, 2020)

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Find the radius of the inscribed circle between a parabola and x axis

Posted on June 23, 2024 by Sumant Sumant
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Spotting difference in squares

Posted on June 15, 2024 by Sumant Sumant

Simplify

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2023 AMC 12B Problem 6

Posted on June 14, 2024 by Sumant Sumant

When the roots of the polynomial are removed from the number line. what remains is the union of 11 disjoint open intervals. On how many of these intervals is positive ?

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A good example on teaching place value and face value

Posted on June 12, 2024 by Sumant Sumant
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Series Calculation using variable

Posted on June 12, 2024 by Sumant Sumant
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IB HL width of water surface inside a secant function channel

Posted on June 9, 2024 by Sumant Sumant

The equation that represents the boundary is given by Find the width of the water surface in the channel when the water depth is 10 cam.

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A simple question on Simple Interest

Posted on June 9, 2024 by Sumant Sumant

What amount invested now will grow $3500 in 8 months at 9% simple interest ?

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Compounds interest semi annual deposit for months

Posted on June 9, 2024 by Sumant Sumant

Beginning November 1, 1988 and ending May 1, 1994, semi annual depossits of $150 are made into account earning 11.75% /a a compounded semi annually. If the deposits remain untouched until November 1, 1998, what will be the amount in … Continue reading →

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Annuity and superannuation

Posted on June 9, 2024 by Sumant Sumant

Natalie’s family has decided that in three months they will start depositing $160 every 3 months for 3 years. The account will earn interest 5.7% /a, compounded quaterly. Then 3 months after the last deposit they plan to withdraw money … Continue reading →

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